From 8188a600ce3cf24a66ecbc1116b12f21c2095ccd Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 16 May 2023 18:11:54 -0400 Subject: [PATCH 01/33] include fuel.jl co2.jl from Qingyu's CO2 module MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 1. In load_fuels_data.jl, there is no need to scale fuel_co2 as it will cause scaling issues when the parameter scale is on. 2. In load_generator_data.jl, remove the start up fuel costs as all the costs associated with fuel consumption will be accounted in fuel.jl. 3. In discharge.jl, remove the fuel costs as they will be separately accounted in fuel.jl 4. In Generate_model.jl, remove emissions!(EP, inputs) as emissions.jl will be replaced by CO2.jl. include fuel.jl. 5. Fuel.jl is a module that tracks the consumption (MMBTU or billion BTU scaled) and costs ($ or million $) of fuels used in generators (startup fuels included as well). It also includes a piecewise fuel consumption option if you want to represent the fuel consumption during different load factor. 6. CO2.jl is an updated version of emissios.jl, and we don’t need emissions.jl when we have co2.jl. Also added BECCS options in CO2.jl, line 29 and line 39. Basically, when BECCS plants are included, “Generator_data.csv” should have a column named “BECCS”, and the values under “BECCS” column should be 1 for BECCS facilities and 0 for non-BECCS facilities. The amount of CO2 captured and stored for BECCS generators are accounted in the same way as other thermal generators, but its corresponding emissions should be negative. 7. Modified write_costs such that fuel costs are appropriately included. 8. Include write_co2.jl and write_fuel_consumption.jl, which give co2 emissions and fuel consumption for each generator. Co-Authored-By: Qingyu Xu --- src/configure_settings/configure_settings.jl | 1 + src/load_inputs/load_fuels_data.jl | 5 +- src/load_inputs/load_generators_data.jl | 6 +- src/model/core/co2.jl | 80 +++++++++++++++++ src/model/core/discharge/discharge.jl | 4 +- src/model/core/fuel.jl | 90 ++++++++++++++++++++ src/model/generate_model.jl | 6 +- src/write_outputs/write_co2.jl | 90 ++++++++++++++++++++ src/write_outputs/write_costs.jl | 3 + src/write_outputs/write_fuel_consumption.jl | 63 ++++++++++++++ src/write_outputs/write_outputs.jl | 8 ++ 11 files changed, 350 insertions(+), 6 deletions(-) create mode 100644 src/model/core/co2.jl create mode 100644 src/model/core/fuel.jl create mode 100644 src/write_outputs/write_co2.jl create mode 100644 src/write_outputs/write_fuel_consumption.jl diff --git a/src/configure_settings/configure_settings.jl b/src/configure_settings/configure_settings.jl index 352facdae4..0ad89b4c98 100644 --- a/src/configure_settings/configure_settings.jl +++ b/src/configure_settings/configure_settings.jl @@ -24,6 +24,7 @@ function default_settings() "IncludeLossesInESR" => 0, "EnableJuMPStringNames" => false, "HydrogenHourlyMatching" => 0, + "PieceWiseHeatRate" => 0 ) end diff --git a/src/load_inputs/load_fuels_data.jl b/src/load_inputs/load_fuels_data.jl index 4dee038a4a..9538823d41 100644 --- a/src/load_inputs/load_fuels_data.jl +++ b/src/load_inputs/load_fuels_data.jl @@ -33,8 +33,9 @@ function load_fuels_data!(setup::Dict, path::AbstractString, inputs::Dict) for i = 1:length(fuels) fuel_costs[fuels[i]] = costs[:,i] / scale_factor - # fuel_CO2 is kton/MMBTU with scaling, or ton/MMBTU without scaling. - fuel_CO2[fuels[i]] = CO2_content[i] / scale_factor + # fuel_CO2 is kton/MMBTU with scaling, or ton/Billion BTU without scaling. + #fuel_CO2[fuels[i]] = CO2_content[i] / scale_factor + fuel_CO2[fuels[i]] = CO2_content[i] end inputs["fuels"] = fuels diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 106feaf964..825a366fcc 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -209,9 +209,11 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di # kton/MMBTU * MMBTU/MWh = kton/MWh, to get kton/GWh, we need to mutiply 1000 if g in inputs_gen["COMMIT"] # Start-up cost is sum of fixed cost per start plus cost of fuel consumed on startup. - # CO2 from fuel consumption during startup also calculated + # CO2 from fuel consumption during startup also calculate + # remove the start fuel as the cost of start fuel will be accounted in fuel.jl - inputs_gen["C_Start"][g,:] = gen_in[g,:Cap_Size] * (fuel_costs[fuel_type[g]] .* start_fuel[g] .+ start_cost[g]) + inputs_gen["C_Start"][g,:] .= gen_in[g,:Cap_Size] * ( start_cost[g]) + #inputs_gen["C_Start"][g,:] = gen_in[g,:Cap_Size] * (fuel_costs[fuel_type[g]] .* start_fuel[g] .+ start_cost[g]) # No need to re-scale C_Start since Cap_size, fuel_costs and start_cost are scaled When Setup[ParameterScale] =1 - Dharik gen_in[g,:CO2_per_Start] = gen_in[g,:Cap_Size]*(fuel_CO2[fuel_type[g]]*start_fuel[g]) gen_in[g,:CO2_per_Start] *= scale_factor diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl new file mode 100644 index 0000000000..ac30eb7865 --- /dev/null +++ b/src/model/core/co2.jl @@ -0,0 +1,80 @@ +""" +GenX: An Configurable Capacity Expansion Model +Copyright (C) 2021, Massachusetts Institute of Technology +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or +(at your option) any later version. +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. +A complete copy of the GNU General Public License v2 (GPLv2) is available +in LICENSE.txt. Users uncompressing this from an archive may not have +received this license file. If not, see . +""" + +@doc raw""" CO2 emissions and CO2 capture""" +function co2!(EP::Model, inputs::Dict, setup::Dict) + + println("C02 Module") + + dfGen = inputs["dfGen"] + G = inputs["G"] # Number of resources (generators, storage, DR, and DERs) + T = inputs["T"] # Number of time steps (hours) + Z = inputs["Z"] # Number of zones + + scale_factor = setup["ParameterScale"] == 1 ? ModelScalingFactor : 1 + + dfGen.BECCS = "BECCS" in names(dfGen) ? dfGen.BECCS : zeros(Int, nrow(dfGen)) + + ### Expressions ### + # CO2 emissions from power plants in "Generator_data.csv" + if setup["CO2Capture"] == 0 + @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], + ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * + inputs["fuel_CO2"][dfGen[y,:Fuel]])) + else # setup["CO2Capture"] == 1 + @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], + ((1-dfGen.BECCS[y]) - dfGen[!, :CO2_Capture_Rate][y]) * + ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * + inputs["fuel_CO2"][dfGen[y,:Fuel]])) + # CO2 captured from power plants in "Generator_data.csv" + @expression(EP, eEmissionsCaptureByPlant[y=1:G, t=1:T], + (dfGen[!, :CO2_Capture_Rate][y]) * + ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * + inputs["fuel_CO2"][dfGen[y,:Fuel]])) + + @expression(EP, eEmissionsCaptureByPlantYear[y=1:G], + sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] + for t in 1:T)) + @expression(EP, eEmissionsCaptureByZone[z=1:Z, t=1:T], + sum(eEmissionsCaptureByPlant[y, t] + for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) + @expression(EP, eEmissionsCaptureByZoneYear[z=1:Z], + sum(eEmissionsCaptureByPlantYear[y] + for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) + + + # add CO2 sequestration cost to objective function + # when scale factor is on tCO2/MWh = > kt CO2/GWh + @expression(EP, ePlantCCO2Sequestration[y=1:G], + sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] * + dfGen[y, :CO2_Capture_Cost_per_Metric_Ton]/scale_factor for t in 1:T)) + + @expression(EP, eZonalCCO2Sequestration[z=1:Z], + sum(ePlantCCO2Sequestration[y] + for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) + + @expression(EP, eTotaleCCO2Sequestration, + sum(eZonalCCO2Sequestration[z] for z in 1:Z)) + + add_to_expression!(EP[:eObj], EP[:eTotaleCCO2Sequestration]) + end + + @expression(EP, eEmissionsByPlantYear[y = 1:G], + sum(inputs["omega"][t] * eEmissionsByPlant[y, t] for t in 1:T)) + + return EP + +end diff --git a/src/model/core/discharge/discharge.jl b/src/model/core/discharge/discharge.jl index e226e0302f..facd894c77 100644 --- a/src/model/core/discharge/discharge.jl +++ b/src/model/core/discharge/discharge.jl @@ -28,7 +28,9 @@ function discharge!(EP::Model, inputs::Dict, setup::Dict) ## Objective Function Expressions ## # Variable costs of "generation" for resource "y" during hour "t" = variable O&M plus fuel cost - @expression(EP, eCVar_out[y=1:G,t=1:T], (inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]+inputs["C_Fuel_per_MWh"][y,t])*vP[y,t])) + # remove the fuel cost in discharge.jl and account fuel costs in fuel.jl + @expression(EP, eCVar_out[y=1:G,t=1:T], (inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]*vP[y,t]))) + #@expression(EP, eCVar_out[y=1:G,t=1:T], (inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]+inputs["C_Fuel_per_MWh"][y,t])*vP[y,t])) #@expression(EP, eCVar_out[y=1:G,t=1:T], (round(inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]+inputs["C_Fuel_per_MWh"][y,t]), digits=RD)*vP[y,t])) # Sum individual resource contributions to variable discharging costs to get total variable discharging costs @expression(EP, eTotalCVarOutT[t=1:T], sum(eCVar_out[y,t] for y in 1:G)) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl new file mode 100644 index 0000000000..6d6e1d8298 --- /dev/null +++ b/src/model/core/fuel.jl @@ -0,0 +1,90 @@ +""" +GenX: An Configurable Capacity Expansion Model +Copyright (C) 2021, Massachusetts Institute of Technology +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or +(at your option) any later version. +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. +A complete copy of the GNU General Public License v2 (GPLv2) is available +in LICENSE.txt. Users uncompressing this from an archive may not have +received this license file. If not, see . +""" + +@doc raw""" + fuel!(EP::Model, inputs::Dict, setup::Dict) + this module calculate the fuel consumption and the fuel cost +""" + +function fuel!(EP::Model, inputs::Dict, setup::Dict) + println("Fuel Module") + dfGen = inputs["dfGen"] + T = inputs["T"] # Number of time steps (hours) + Z = inputs["Z"] # Number of zones + G = inputs["G"] + THERM_COMMIT = inputs["THERM_COMMIT"] + FUEL = length(inputs["fuels"]) + ALLGEN = collect(1:G) + # create variable for fuel consumption for output + @variable(EP, vFuel[y in 1:G, t = 1:T] >= 0) + + ### Expressions #### + # Fuel consumed on start-up (MMBTU or kMMBTU (scaled)) + # if unit commitment is modelled + @expression(EP, eStartFuel[y in 1:G, t = 1:T], + if y in THERM_COMMIT + (dfGen[y,:Cap_Size] * EP[:vSTART][y, t] * + dfGen[y,:Start_Fuel_MMBTU_per_MW]) + else + 1*EP[:vZERO] + end) + @expression(EP, ePlantFuel[y in 1:G, t = 1:T], + (EP[:vFuel][y, t] + EP[:eStartFuel][y, t])) + @expression(EP, ePlantFuelConsumptionYear[y in 1:G], + sum(inputs["omega"][t] * EP[:ePlantFuel][y, t] for t in 1:T)) + @expression(EP, eFuelConsumption[f in 1:FUEL, t in 1:T], + sum(EP[:ePlantFuel][y, t] + for y in dfGen[dfGen[!,:Fuel] .== string(inputs["fuels"][f]) ,:R_ID])) + @expression(EP, eFuelConsumptionYear[f in 1:FUEL], + sum(inputs["omega"][t] * EP[:eFuelConsumption][f, t] for t in 1:T)) + # fuel_cost is in $/MMBTU (k$/MMBTU or M$/kMMBTU if scaled) + # vFuel is MMBTU (or kMMBTU if scaled) + # therefore eCFuel_out is $ or Million$) + @expression(EP, eCFuel_out[y = 1:G, t = 1:T], + (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:ePlantFuel][y, t])) + # plant level total fuel cost for output + @expression(EP, ePlantCFuelOut[y = 1:G], + sum(inputs["omega"][t] * EP[:eCFuel_out][y, t] for t in 1:T)) + # zonal level total fuel cost for output + @expression(EP, eZonalCFuelOut[z = 1:Z], EP[:vZERO] + + sum(EP[:ePlantCFuelOut][y] for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) + # system level total fuel cost for output + @expression(EP, eTotalCFuelOut, sum(eZonalCFuelOut[z] for z in 1:Z)) + add_to_expression!(EP[:eObj], EP[:eTotalCFuelOut]) + + ### Constraint ### + @constraint(EP, FuelCalculation[y in setdiff(ALLGEN, THERM_COMMIT), t = 1:T], + EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) + if !isempty(THERM_COMMIT) + if setup["PieceWiseHeatRate"] == 1 + # Piecewise heat rate UC + @constraint(EP, First_segement[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Slope1][y] + + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept1][y])) + @constraint(EP, Second_segement[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Slope2][y] + + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept2][y])) + @constraint(EP, Third_segement[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Slope3][y] + + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept3][y])) + else + @constraint(EP, FuelCalculationCommit[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) + end + end + + return EP +end diff --git a/src/model/generate_model.jl b/src/model/generate_model.jl index 0ea10cc507..30f5a132fd 100644 --- a/src/model/generate_model.jl +++ b/src/model/generate_model.jl @@ -124,7 +124,10 @@ function generate_model(setup::Dict,inputs::Dict,OPTIMIZER::MOI.OptimizerWithAtt ucommit!(EP, inputs, setup) end - emissions!(EP, inputs) + fuel!(EP, inputs, setup) + + # remove emissions as they will be accounted in co2.jl + #emissions!(EP, inputs) if setup["Reserves"] > 0 reserves!(EP, inputs, setup) @@ -185,6 +188,7 @@ function generate_model(setup::Dict,inputs::Dict,OPTIMIZER::MOI.OptimizerWithAtt end # Policies + co2!(EP, inputs, setup) # CO2 emissions limits if setup["CO2Cap"] > 0 co2_cap!(EP, inputs, setup) diff --git a/src/write_outputs/write_co2.jl b/src/write_outputs/write_co2.jl new file mode 100644 index 0000000000..08d48cc9f7 --- /dev/null +++ b/src/write_outputs/write_co2.jl @@ -0,0 +1,90 @@ +""" +GenX: An Configurable Capacity Expansion Model +Copyright (C) 2021, Massachusetts Institute of Technology +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or +(at your option) any later version. +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. +A complete copy of the GNU General Public License v2 (GPLv2) is available +in LICENSE.txt. Users uncompressing this from an archive may not have +received this license file. If not, see . +""" + +@doc raw""" + write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + +Function for reporting time-dependent CO$_2$ emissions by zone. + +""" +function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + dfGen = inputs["dfGen"] + G = inputs["G"] # Number of resources (generators, storage, DR, and DERs) + T = inputs["T"] # Number of time steps (hours) + Z = inputs["Z"] # Number of zones + + # CO2 emissions by zone + + dfEmissions = DataFrame(Zone=1:Z, AnnualSum=zeros(Float64, Z)) + + emissions_zone = zeros(Z, T) + emissions_zone = value.(EP[:eEmissionsByZone]) + if setup["ParameterScale"] == 1 + emissions_zone *= ModelScalingFactor + end + dfEmissions.AnnualSum .= emissions_zone * inputs["omega"] + dfEmissions = hcat(dfEmissions, DataFrame(emissions_zone, :auto)) + + auxNew_Names = [Symbol("Zone"); Symbol("AnnualSum"); [Symbol("t$t") for t = 1:T]] + rename!(dfEmissions, auxNew_Names) + + total = DataFrame(["Total" sum(dfEmissions[!, :AnnualSum]) fill(0.0, (1, T))], auxNew_Names) + total[!, 3:T+2] .= sum(emissions_zone, dims=1) + dfEmissions = vcat(dfEmissions, total) + # Qingyu, the emissions.csv in write_emission.jl seems to have more info than yours, so I will skip the emissions.csv but keep the rest of them + #CSV.write(joinpath(path, "emissions.csv"), dftranspose(dfEmissions, false), writeheader=false) + + # CO2 emissions by plant + dfEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) + emissions_plant = zeros(G, T) + emissions_plant = value.(EP[:eEmissionsByPlant]) + if setup["ParameterScale"] == 1 + emissions_plant *= ModelScalingFactor + end + dfEmissions_plant.AnnualSum .= emissions_plant * inputs["omega"] + dfEmissions_plant = hcat(dfEmissions_plant, DataFrame(emissions_plant, :auto)) + + auxNew_Names = [Symbol("Resource"); Symbol("Zone"); Symbol("AnnualSum"); [Symbol("t$t") for t = 1:T]] + rename!(dfEmissions_plant, auxNew_Names) + + total = DataFrame(["Total" 0 sum(dfEmissions_plant[!, :AnnualSum]) fill(0.0, (1, T))], auxNew_Names) + total[!, 4:T+3] .= sum(emissions_plant, dims=1) + dfEmissions_plant = vcat(dfEmissions_plant, total) + CSV.write(joinpath(path, "emissions_plant.csv"), dftranspose(dfEmissions_plant, false), writeheader=false) + + dfCapturedEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) + if setup["CO2Capture"] == 1 + # Captured CO2 emissions by plant + emissions_captured_plant = zeros(G, T) + emissions_captured_plant = (value.(EP[:eEmissionsCaptureByPlant])) + if setup["ParameterScale"] == 1 + emissions_captured_plant *= ModelScalingFactor + end + dfCapturedEmissions_plant.AnnualSum .= emissions_captured_plant * inputs["omega"] + dfCapturedEmissions_plant = hcat(dfCapturedEmissions_plant, DataFrame(emissions_captured_plant, :auto)) + + auxNew_Names = [Symbol("Resource"); Symbol("Zone"); Symbol("AnnualSum"); [Symbol("t$t") for t = 1:T]] + rename!(dfCapturedEmissions_plant, auxNew_Names) + + total = DataFrame(["Total" 0 sum(dfCapturedEmissions_plant[!, :AnnualSum]) fill(0.0, (1, T))], auxNew_Names) + total[!, 4:T+3] .= sum(emissions_captured_plant, dims=1) + dfCapturedEmissions_plant = vcat(dfCapturedEmissions_plant, total) + + CSV.write(joinpath(path, "captured_emissions_plant.csv"), dftranspose(dfCapturedEmissions_plant, false), writeheader=false) + end + + return dfEmissions, dfEmissions_plant, dfCapturedEmissions_plant +end diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index 39c4e02427..dd89903c0b 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -105,6 +105,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCTotal += eCFix tempCVar = sum(value.(EP[:eCVar_out][Y_ZONE,:])) + CVar_fuel = sum(value.(EP[:ePlantCFuelOut][Y_ZONE,:])) + tempCVar += CVar_fuel + tempCTotal += tempCVar if !isempty(STOR_ALL_ZONE) diff --git a/src/write_outputs/write_fuel_consumption.jl b/src/write_outputs/write_fuel_consumption.jl new file mode 100644 index 0000000000..75c294351e --- /dev/null +++ b/src/write_outputs/write_fuel_consumption.jl @@ -0,0 +1,63 @@ +""" +GenX: An Configurable Capacity Expansion Model +Copyright (C) 2021, Massachusetts Institute of Technology +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or +(at your option) any later version. +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. +A complete copy of the GNU General Public License v2 (GPLv2) is available +in LICENSE.txt. Users uncompressing this from an archive may not have +received this license file. If not, see . +""" + +@doc raw""" + write fuel consumption of each power plant. +""" +function write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + dfGen = inputs["dfGen"] + G = inputs["G"] + T = inputs["T"] # Number of time steps (hours) + + + # Fuel consumption by each resource + dfPlantFuel = DataFrame(Resource = inputs["RESOURCES"], + Fuel = dfGen[!, :Fuel], + Zone = dfGen[!,:Zone], + AnnualSum = zeros(G)) + tempannualsum = value.(EP[:ePlantCFuelOut]) + if setup["ParameterScale"] == 1 + tempannualsum *= ModelScalingFactor # kMMBTU to MMBTU + end + tempannualsum = round.(tempannualsum, digits = 2) + dfPlantFuel.AnnualSum .+= tempannualsum + CSV.write(joinpath(path, "FuelConsumption_plant.csv"), dfPlantFuel) + + # Fuel consumption by each resource per time step + dfPlantFuel_TS = DataFrame(Resource = inputs["RESOURCES"]) + tempts = value.(EP[:ePlantFuel]) + if setup["ParameterScale"] == 1 + tempts *= ModelScalingFactor # kMMBTU to MMBTU + end + tempts = round.(tempts, digits = 2) + dfPlantFuel_TS = hcat(dfPlantFuel_TS, + DataFrame(tempts, [Symbol("t$t") for t in 1:T])) + CSV.write(joinpath(path, "FuelConsumption_plant_ts.csv"), + dftranspose(dfPlantFuel_TS, false), writeheader=false) + + # types of fuel + fuel_types = inputs["fuels"] + fuel_number = length(fuel_types) + dfFuel = DataFrame(Fuel = fuel_types, + AnnualSum = zeros(fuel_number)) + tempannualsum = value.(EP[:eFuelConsumptionYear]) + if setup["ParameterScale"] == 1 + tempannualsum *= ModelScalingFactor # kMMBTU to MMBTU + end + tempannualsum = round.(tempannualsum, digits = 2) + dfFuel.AnnualSum .+= tempannualsum + CSV.write(joinpath(path,"FuelConsumption.csv"), dfFuel) +end diff --git a/src/write_outputs/write_outputs.jl b/src/write_outputs/write_outputs.jl index 4a6bbb6f69..59198a97af 100644 --- a/src/write_outputs/write_outputs.jl +++ b/src/write_outputs/write_outputs.jl @@ -128,6 +128,14 @@ function write_outputs(EP::Model, path::AbstractString, setup::Dict, inputs::Dic println(elapsed_time_lds_dstor) end + elapsed_time_fuel_consumption = @elapsed write_fuel_consumption(path, inputs, setup, EP) + println("Time elapsed for writing fuel consumption is") + println(elapsed_time_fuel_consumption) + + elapsed_time_emissions = @elapsed write_co2(path, inputs, setup, EP) + println("Time elapsed for writing emissions is") + println(elapsed_time_emissions) + # Temporary! Suppress these outputs until we know that they are compatable with multi-stage modeling if setup["MultiStage"] == 0 dfPrice = DataFrame() From ef2fb96843a4707c119f9bdf91096eec9c28194a Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 16 May 2023 20:10:41 -0400 Subject: [PATCH 02/33] Update co2.jl accidently deleted eEmissionsByZone... added them in this version. Co-Authored-By: Qingyu Xu --- src/model/core/co2.jl | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index ac30eb7865..82c8eb8fa7 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -75,6 +75,13 @@ function co2!(EP::Model, inputs::Dict, setup::Dict) @expression(EP, eEmissionsByPlantYear[y = 1:G], sum(inputs["omega"][t] * eEmissionsByPlant[y, t] for t in 1:T)) + @expression(EP, eEmissionsByZone[z = 1:Z, t = 1:T], + sum(eEmissionsByPlant[y, t] for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) + + @expression(EP, eEmissionsByZoneYear[z = 1:Z], + sum(inputs["omega"][t] * eEmissionsByZone[z, t] for t in 1:T)) + + return EP end From 7cf23089f8547e46617e5f0510509d093a7c753c Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Mon, 21 Aug 2023 18:24:30 -0400 Subject: [PATCH 03/33] Delete C_Fuel_per_MWh and CO2_per_MWh, and C_Start in load_generator_data.jl as they will be tracked separately The fuel (including start up fuel) costs and CO2 emissions will be separately tracked in Fuel.jl and CO2.jl. No need to determine C_Fuel_per_MWh and CO2_per_MWh, and C_Start. Delete redundant comments. --- src/load_inputs/load_fuels_data.jl | 8 ++--- src/load_inputs/load_generators_data.jl | 39 +++++++------------------ src/write_outputs/write_net_revenue.jl | 2 +- 3 files changed, 16 insertions(+), 33 deletions(-) diff --git a/src/load_inputs/load_fuels_data.jl b/src/load_inputs/load_fuels_data.jl index 9538823d41..a0b0b0eb97 100644 --- a/src/load_inputs/load_fuels_data.jl +++ b/src/load_inputs/load_fuels_data.jl @@ -1,6 +1,5 @@ @doc raw""" - load_fuels_data!(setup::Dict, path::AbstractString, inputs::Dict) - +load_fuels_data!(setup::Dict, path::AbstractString, inputs::Dict) Read input parameters related to fuel costs and CO$_2$ content of fuels """ function load_fuels_data!(setup::Dict, path::AbstractString, inputs::Dict) @@ -32,9 +31,10 @@ function load_fuels_data!(setup::Dict, path::AbstractString, inputs::Dict) scale_factor = setup["ParameterScale"] == 1 ? ModelScalingFactor : 1 for i = 1:length(fuels) + # fuel cost is in $/MMBTU w/o scaling, $/Billon BTU w/ scaling fuel_costs[fuels[i]] = costs[:,i] / scale_factor - # fuel_CO2 is kton/MMBTU with scaling, or ton/Billion BTU without scaling. - #fuel_CO2[fuels[i]] = CO2_content[i] / scale_factor + # fuel_CO2 is ton/MMBTU w/o scaling, or kton/Billion BTU w/ scaling. + # No need to scale fuel_CO2 fuel_CO2[fuels[i]] = CO2_content[i] end diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 825a366fcc..9163dadadd 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -185,46 +185,29 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di end end - if setup["UCommit"]>=1 - # Fuel consumed on start-up (million BTUs per MW per start) if unit commitment is modelled - start_fuel = convert(Array{Float64}, gen_in[!,:Start_Fuel_MMBTU_per_MW]) - # Fixed cost per start-up ($ per MW per start) if unit commitment is modelled + if setup["UCommit"] >= 1 start_cost = convert(Array{Float64}, gen_in[!,:Start_Cost_per_MW]) inputs_gen["C_Start"] = zeros(Float64, G, inputs_gen["T"]) - gen_in[!,:CO2_per_Start] = zeros(Float64, G) end - # Heat rate of all resources (million BTUs/MWh) - heat_rate = convert(Array{Float64}, gen_in[!,:Heat_Rate_MMBTU_per_MWh]) - # Fuel used by each resource - fuel_type = gen_in[!,:Fuel] - # Maximum fuel cost in $ per MWh and CO2 emissions in tons per MWh - inputs_gen["C_Fuel_per_MWh"] = zeros(Float64, G, inputs_gen["T"]) - gen_in[!,:CO2_per_MWh] = zeros(Float64, G) + # The fuel (including start up fuel) costs and CO2 emissions will be separately tracked in Fuel.jl and CO2.jl + # No need to determine C_Fuel_per_MWh and CO2_per_MWh, and C_Start + # Only scale the start up cost here for g in 1:G - # NOTE: When Setup[ParameterScale] =1, fuel costs are scaled in fuels_data.csv, so no if condition needed to scale C_Fuel_per_MWh - inputs_gen["C_Fuel_per_MWh"][g,:] = fuel_costs[fuel_type[g]].*heat_rate[g] - gen_in[g,:CO2_per_MWh] = fuel_CO2[fuel_type[g]]*heat_rate[g] - gen_in[g,:CO2_per_MWh] *= scale_factor - # kton/MMBTU * MMBTU/MWh = kton/MWh, to get kton/GWh, we need to mutiply 1000 if g in inputs_gen["COMMIT"] # Start-up cost is sum of fixed cost per start plus cost of fuel consumed on startup. - # CO2 from fuel consumption during startup also calculate - # remove the start fuel as the cost of start fuel will be accounted in fuel.jl - inputs_gen["C_Start"][g,:] .= gen_in[g,:Cap_Size] * ( start_cost[g]) - #inputs_gen["C_Start"][g,:] = gen_in[g,:Cap_Size] * (fuel_costs[fuel_type[g]] .* start_fuel[g] .+ start_cost[g]) - # No need to re-scale C_Start since Cap_size, fuel_costs and start_cost are scaled When Setup[ParameterScale] =1 - Dharik - gen_in[g,:CO2_per_Start] = gen_in[g,:Cap_Size]*(fuel_CO2[fuel_type[g]]*start_fuel[g]) - gen_in[g,:CO2_per_Start] *= scale_factor - # Setup[ParameterScale] =1, gen_in[g,:Cap_Size] is GW, fuel_CO2[fuel_type[g]] is ktons/MMBTU, start_fuel is MMBTU/MW, - # thus the overall is MTons/GW, and thus gen_in[g,:CO2_per_Start] is Mton, to get kton, change we need to multiply 1000 - # Setup[ParameterScale] =0, gen_in[g,:Cap_Size] is MW, fuel_CO2[fuel_type[g]] is tons/MMBTU, start_fuel is MMBTU/MW, - # thus the overall is MTons/GW, and thus gen_in[g,:CO2_per_Start] is ton end end load_vre_stor_data!(inputs_gen, setup, path) + + + # Scale CO2_Capture_Cost_per_Metric_Ton for CCS units + inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton = ("CO2_Capture_Cost_per_Metric_Ton" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton : zeros(Int, nrow(inputs_gen["dfGen"])) + + inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton = inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton/scale_factor + println(filename * " Successfully Read!") end diff --git a/src/write_outputs/write_net_revenue.jl b/src/write_outputs/write_net_revenue.jl index b8d2f1f7d6..5b9679f447 100644 --- a/src/write_outputs/write_net_revenue.jl +++ b/src/write_outputs/write_net_revenue.jl @@ -77,7 +77,7 @@ function write_net_revenue(path::AbstractString, inputs::Dict, setup::Dict, EP:: end # Add fuel cost to the dataframe - dfNetRevenue.Fuel_cost = (inputs["C_Fuel_per_MWh"] .* value.(EP[:vP])) * inputs["omega"] + dfNetRevenue.Fuel_cost .= value.(EP[:eTotalCFuelOut]) if setup["ParameterScale"] == 1 dfNetRevenue.Fuel_cost *= ModelScalingFactor^2 # converting Million US$ to US$ end From 223e0bbf624999a439acba60e8944702034d0b2f Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 22 Aug 2023 10:30:21 -0400 Subject: [PATCH 04/33] Delete emissions.jl Delete emissions.jl as emissions.jl will be replaced by co2.jl --- src/model/core/emissions.jl | 26 -------------------------- 1 file changed, 26 deletions(-) delete mode 100644 src/model/core/emissions.jl diff --git a/src/model/core/emissions.jl b/src/model/core/emissions.jl deleted file mode 100644 index 0bb007463f..0000000000 --- a/src/model/core/emissions.jl +++ /dev/null @@ -1,26 +0,0 @@ -@doc raw""" - emissions(EP::Model, inputs::Dict) - -This function creates expression to add the CO2 emissions by plants in each zone, which is subsequently added to the total emissions -""" -function emissions!(EP::Model, inputs::Dict) - - println("Emissions Module (for CO2 Policy modularization)") - - dfGen = inputs["dfGen"] - - G = inputs["G"] # Number of resources (generators, storage, DR, and DERs) - T = inputs["T"] # Number of time steps (hours) - Z = inputs["Z"] # Number of zones - - @expression(EP, eEmissionsByPlant[y=1:G,t=1:T], - - if y in inputs["COMMIT"] - dfGen[y,:CO2_per_MWh]*EP[:vP][y,t]+dfGen[y,:CO2_per_Start]*EP[:vSTART][y,t] - else - dfGen[y,:CO2_per_MWh]*EP[:vP][y,t] - end - ) - @expression(EP, eEmissionsByZone[z=1:Z, t=1:T], sum(eEmissionsByPlant[y,t] for y in dfGen[(dfGen[!,:Zone].==z),:R_ID])) - -end From baeaeaba076601389f9e7d027128d2efd5ec46db Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 22 Aug 2023 13:02:59 -0400 Subject: [PATCH 05/33] include documentations and delete redundant comments Delete the formulations to write emissions.csv as write_emissions.jl has the same function. Add documents for co2.jl and fuel.jl delete redundant comments remove CO2Capture from setting --- src/model/core/co2.jl | 60 +++++++++++++++++++++------ src/model/core/discharge/discharge.jl | 5 +-- src/model/core/fuel.jl | 37 +++++++++++++++-- src/model/generate_model.jl | 2 +- src/write_outputs/write_co2.jl | 25 +---------- 5 files changed, 84 insertions(+), 45 deletions(-) diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 82c8eb8fa7..42b0cd5193 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -14,8 +14,40 @@ in LICENSE.txt. Users uncompressing this from an archive may not have received this license file. If not, see . """ -@doc raw""" CO2 emissions and CO2 capture""" -function co2!(EP::Model, inputs::Dict, setup::Dict) +@doc raw""" + +co2!(EP::Model, inputs::Dict) + +This function creates expression to account for $CO_2$ emissions and captured and sequestrated $CO_2$ from thermal generators. It also has the capability to model the negative CO2 emissions from bioenergy with carbon capture and storage. This module will displace the emissions module. + +** Expressions ** + +For thermal generators that use fuels that contain $CO_2$ content (e.g., coal, natural gas, and biomass), the $CO_2$ emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock is biomass. Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be carbon-neutral because the carbon in the biomass is originated from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. + +Here we create a column called Biomass in the Generator data file (1 or 0), which determines if a generator $g$ uses biomass or not. The CO2 emissions from a generator should be zero without CCS and negative with CCS. + +The CO2 emissions from the generator $g$ at time $t$, denoted by $eEmissionsByPlant_{g,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times (1 - Biomass - CO2 capture rate). In short, the CO2 emissions depend on total CO2 content from fuel consumption, the CO2 capture rate, and whether the generators use biomass. + +```math +\begin{aligned} +$eEmissionsByPlant_{g,t}$ = (1-$Biomass_y$- $CO2CaptureRate_y$) * ($vFuel_{y,t}$ + $eStartFuel_{y,t}$) * $CO2_{content}$ +\hspace{1cm} \forall g \in \matchal{G}, \forall t \in \matchal{T}, $Biomass_y$ \in {{0,1}} +\end{aligned} +``` +Where $Biomass_y$ represents a binary variable that determines if the generator $y$ uses biomass (Biomass = 1) or not (Biomass = 0), $CO2CaptureRate_y$ represents a fraction (between 0 - 1) for $CO_2$ capture rate. + +In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the generator $g$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times CO2 capture rate. + +```math +\begin{aligned} +$eEmissionsCaptureByPlant_{g,t}$ = $CO2CaptureRate_y$ * ($vFuel_{y,t}$ + $eStartFuel_{y,t}$) * $CO2_{content}$ +\hspace{1cm} \forall g \in \matchal{G}, \forall t \in \matchal{T} +\end{aligned} +``` + + +""" +function co2!(EP::Model, inputs::Dict) println("C02 Module") @@ -24,27 +56,29 @@ function co2!(EP::Model, inputs::Dict, setup::Dict) T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones - scale_factor = setup["ParameterScale"] == 1 ? ModelScalingFactor : 1 - - dfGen.BECCS = "BECCS" in names(dfGen) ? dfGen.BECCS : zeros(Int, nrow(dfGen)) - + dfGen.Biomass = "Biomass" in names(dfGen) ? dfGen.Biomass : zeros(Int, nrow(dfGen)) + dfGen.CO2_Capture_Rate = "CO2_Capture_Rate" in names(dfGen) ? dfGen.CO2_Capture_Rate : zeros(Int, nrow(dfGen)) + ### Expressions ### # CO2 emissions from power plants in "Generator_data.csv" - if setup["CO2Capture"] == 0 + # if all the CO2 capture rates from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU + if all(x -> x == 0, dfGen.CO2_Capture_Rate) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * - inputs["fuel_CO2"][dfGen[y,:Fuel]])) - else # setup["CO2Capture"] == 1 + ((1-dfGen.Biomass[y]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) + else @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((1-dfGen.BECCS[y]) - dfGen[!, :CO2_Capture_Rate][y]) * + ((1-dfGen.Biomass[y]) - dfGen[!, :CO2_Capture_Rate][y]) * ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) + # CO2 captured from power plants in "Generator_data.csv" @expression(EP, eEmissionsCaptureByPlant[y=1:G, t=1:T], (dfGen[!, :CO2_Capture_Rate][y]) * ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) + + #************************************* not sure why do we need those expressions. @expression(EP, eEmissionsCaptureByPlantYear[y=1:G], sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] for t in 1:T)) @@ -54,13 +88,13 @@ function co2!(EP::Model, inputs::Dict, setup::Dict) @expression(EP, eEmissionsCaptureByZoneYear[z=1:Z], sum(eEmissionsCaptureByPlantYear[y] for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) - + #************************************* # add CO2 sequestration cost to objective function # when scale factor is on tCO2/MWh = > kt CO2/GWh @expression(EP, ePlantCCO2Sequestration[y=1:G], sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] * - dfGen[y, :CO2_Capture_Cost_per_Metric_Ton]/scale_factor for t in 1:T)) + dfGen[y, :CO2_Capture_Cost_per_Metric_Ton] for t in 1:T)) @expression(EP, eZonalCCO2Sequestration[z=1:Z], sum(ePlantCCO2Sequestration[y] diff --git a/src/model/core/discharge/discharge.jl b/src/model/core/discharge/discharge.jl index facd894c77..f31a1c96dd 100644 --- a/src/model/core/discharge/discharge.jl +++ b/src/model/core/discharge/discharge.jl @@ -27,11 +27,8 @@ function discharge!(EP::Model, inputs::Dict, setup::Dict) ## Objective Function Expressions ## - # Variable costs of "generation" for resource "y" during hour "t" = variable O&M plus fuel cost - # remove the fuel cost in discharge.jl and account fuel costs in fuel.jl + # Variable costs of "generation" for resource "y" during hour "t" = variable O&M, the fuel costs will be determined in fuel.jl @expression(EP, eCVar_out[y=1:G,t=1:T], (inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]*vP[y,t]))) - #@expression(EP, eCVar_out[y=1:G,t=1:T], (inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]+inputs["C_Fuel_per_MWh"][y,t])*vP[y,t])) - #@expression(EP, eCVar_out[y=1:G,t=1:T], (round(inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]+inputs["C_Fuel_per_MWh"][y,t]), digits=RD)*vP[y,t])) # Sum individual resource contributions to variable discharging costs to get total variable discharging costs @expression(EP, eTotalCVarOutT[t=1:T], sum(eCVar_out[y,t] for y in 1:G)) @expression(EP, eTotalCVarOut, sum(eTotalCVarOutT[t] for t in 1:T)) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 6d6e1d8298..22799c4908 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -15,8 +15,35 @@ received this license file. If not, see . """ @doc raw""" - fuel!(EP::Model, inputs::Dict, setup::Dict) - this module calculate the fuel consumption and the fuel cost + + +fuel!(EP::Model, inputs::Dict, setup::Dict) + +This function creates expression to account for total fuel consumption (e.g., coal, natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel consumption in part load (if data is available) + +\*\* Expressions \*\* + +The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation ($vP_{y,t}$) mutiplied by the corresponding heat rate ($Hear\_Rate_y$). + +The total fuel consumption for a plant $y$ at time $t$, denoted by $ePlantFuel_{y,t}$, is determined by adding up the fuel consumed for power generation ($vFuel_{y,t}$) as well as startup fuel ($eStartFuel_{y,t}$). + +The fuel costs for a plant $y$ at time $t$, denoted by $eCFuel\_out_{y,t}$, is determined by total fuel consumption ($ePlantFuel_{y,t}$) multiplied by the fuel costs (\$/MMBTU) + +From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of the operating mode. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. + +```math +\begin{aligned} +vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} +\hspace{1cm} \forall y \in G, \forall t \in T, \forall x \in X +\end{aligned} +``` + +Where $h_{y,x}$ represents incremental heat rate of a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept of fuel consumption of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. We include at most three segements to represent the piecewise heat consumption. + +Since fuel consumption has a positive value, the optimization will optimize the fuel consumption by enforcing the inequity to equal to the highest piecewise segment. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. + + + """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -43,15 +70,17 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) end) @expression(EP, ePlantFuel[y in 1:G, t = 1:T], (EP[:vFuel][y, t] + EP[:eStartFuel][y, t])) + #************************************************* @expression(EP, ePlantFuelConsumptionYear[y in 1:G], sum(inputs["omega"][t] * EP[:ePlantFuel][y, t] for t in 1:T)) + #************************************************* @expression(EP, eFuelConsumption[f in 1:FUEL, t in 1:T], sum(EP[:ePlantFuel][y, t] for y in dfGen[dfGen[!,:Fuel] .== string(inputs["fuels"][f]) ,:R_ID])) @expression(EP, eFuelConsumptionYear[f in 1:FUEL], sum(inputs["omega"][t] * EP[:eFuelConsumption][f, t] for t in 1:T)) - # fuel_cost is in $/MMBTU (k$/MMBTU or M$/kMMBTU if scaled) - # vFuel is MMBTU (or kMMBTU if scaled) + # fuel_cost is in $/MMBTU (M$/billion BTU if scaled) + # vFuel is MMBTU (or billion BTU if scaled) # therefore eCFuel_out is $ or Million$) @expression(EP, eCFuel_out[y = 1:G, t = 1:T], (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:ePlantFuel][y, t])) diff --git a/src/model/generate_model.jl b/src/model/generate_model.jl index 30f5a132fd..876c46d8da 100644 --- a/src/model/generate_model.jl +++ b/src/model/generate_model.jl @@ -188,7 +188,7 @@ function generate_model(setup::Dict,inputs::Dict,OPTIMIZER::MOI.OptimizerWithAtt end # Policies - co2!(EP, inputs, setup) + co2!(EP, inputs) # CO2 emissions limits if setup["CO2Cap"] > 0 co2_cap!(EP, inputs, setup) diff --git a/src/write_outputs/write_co2.jl b/src/write_outputs/write_co2.jl index 08d48cc9f7..cd75d4d9fd 100644 --- a/src/write_outputs/write_co2.jl +++ b/src/write_outputs/write_co2.jl @@ -26,27 +26,6 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones - # CO2 emissions by zone - - dfEmissions = DataFrame(Zone=1:Z, AnnualSum=zeros(Float64, Z)) - - emissions_zone = zeros(Z, T) - emissions_zone = value.(EP[:eEmissionsByZone]) - if setup["ParameterScale"] == 1 - emissions_zone *= ModelScalingFactor - end - dfEmissions.AnnualSum .= emissions_zone * inputs["omega"] - dfEmissions = hcat(dfEmissions, DataFrame(emissions_zone, :auto)) - - auxNew_Names = [Symbol("Zone"); Symbol("AnnualSum"); [Symbol("t$t") for t = 1:T]] - rename!(dfEmissions, auxNew_Names) - - total = DataFrame(["Total" sum(dfEmissions[!, :AnnualSum]) fill(0.0, (1, T))], auxNew_Names) - total[!, 3:T+2] .= sum(emissions_zone, dims=1) - dfEmissions = vcat(dfEmissions, total) - # Qingyu, the emissions.csv in write_emission.jl seems to have more info than yours, so I will skip the emissions.csv but keep the rest of them - #CSV.write(joinpath(path, "emissions.csv"), dftranspose(dfEmissions, false), writeheader=false) - # CO2 emissions by plant dfEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) emissions_plant = zeros(G, T) @@ -66,7 +45,7 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) CSV.write(joinpath(path, "emissions_plant.csv"), dftranspose(dfEmissions_plant, false), writeheader=false) dfCapturedEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) - if setup["CO2Capture"] == 1 + if any(x -> x != 0, dfGen.CO2_Capture_Rate) # Captured CO2 emissions by plant emissions_captured_plant = zeros(G, T) emissions_captured_plant = (value.(EP[:eEmissionsCaptureByPlant])) @@ -86,5 +65,5 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) CSV.write(joinpath(path, "captured_emissions_plant.csv"), dftranspose(dfCapturedEmissions_plant, false), writeheader=false) end - return dfEmissions, dfEmissions_plant, dfCapturedEmissions_plant + return dfEmissions_plant, dfCapturedEmissions_plant end From c9582cdc7e8b9eda290c13bb985a74d2d24b9c71 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 22 Aug 2023 17:31:31 -0400 Subject: [PATCH 06/33] update write_costs.jl and fuel.jl In fuel.jl, separately tracked the fuel costs for power generation and fuel costs for start up event. In write_costs.jl, disaggregated cVar into two components: cVar (variable OM) and cFuel (fuel costs for power generation). Similarly, disaggregated cStart into cStart (startup costs) and cStartFuel (fuel costs during startup). --- src/model/core/fuel.jl | 56 +++++++++++++-------- src/write_outputs/write_costs.jl | 35 ++++++++----- src/write_outputs/write_fuel_consumption.jl | 2 +- 3 files changed, 59 insertions(+), 34 deletions(-) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 22799c4908..fb55da5018 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -25,9 +25,7 @@ This function creates expression to account for total fuel consumption (e.g., co The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation ($vP_{y,t}$) mutiplied by the corresponding heat rate ($Hear\_Rate_y$). -The total fuel consumption for a plant $y$ at time $t$, denoted by $ePlantFuel_{y,t}$, is determined by adding up the fuel consumed for power generation ($vFuel_{y,t}$) as well as startup fuel ($eStartFuel_{y,t}$). - -The fuel costs for a plant $y$ at time $t$, denoted by $eCFuel\_out_{y,t}$, is determined by total fuel consumption ($ePlantFuel_{y,t}$) multiplied by the fuel costs (\$/MMBTU) +The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart_{y,t}$, respectively, are determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel_{y,t}$) multiplied by the fuel costs (\$/MMBTU) From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of the operating mode. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. @@ -68,32 +66,50 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) else 1*EP[:vZERO] end) - @expression(EP, ePlantFuel[y in 1:G, t = 1:T], - (EP[:vFuel][y, t] + EP[:eStartFuel][y, t])) - #************************************************* - @expression(EP, ePlantFuelConsumptionYear[y in 1:G], - sum(inputs["omega"][t] * EP[:ePlantFuel][y, t] for t in 1:T)) - #************************************************* - @expression(EP, eFuelConsumption[f in 1:FUEL, t in 1:T], - sum(EP[:ePlantFuel][y, t] - for y in dfGen[dfGen[!,:Fuel] .== string(inputs["fuels"][f]) ,:R_ID])) - @expression(EP, eFuelConsumptionYear[f in 1:FUEL], - sum(inputs["omega"][t] * EP[:eFuelConsumption][f, t] for t in 1:T)) + # fuel_cost is in $/MMBTU (M$/billion BTU if scaled) # vFuel is MMBTU (or billion BTU if scaled) - # therefore eCFuel_out is $ or Million$) - @expression(EP, eCFuel_out[y = 1:G, t = 1:T], - (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:ePlantFuel][y, t])) - # plant level total fuel cost for output + # therefore eCFuel_start or eCFuel_out is $ or Million$) + # separately track the start up fuel and fuel consumption for power generation + # start up cost + @expression(EP, eCFuelStart[y = 1:G, t = 1:T], + (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:eStartFuel][y, t])) + # plant level start-up fuel cost for output + @expression(EP, ePlantCFuelStart[y = 1:G], + sum(inputs["omega"][t] * EP[:eCFuelStart][y, t] for t in 1:T)) + # zonal level total fuel cost for output + @expression(EP, eZonalCFuelStart[z = 1:Z], EP[:vZERO] + + sum(EP[:ePlantCFuelStart][y] for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) + + # fuel cost + @expression(EP, eCFuelOut[y = 1:G, t = 1:T], + (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:vFuel][y, t])) + # plant level start-up fuel cost for output @expression(EP, ePlantCFuelOut[y = 1:G], - sum(inputs["omega"][t] * EP[:eCFuel_out][y, t] for t in 1:T)) + sum(inputs["omega"][t] * EP[:eCFuelOut][y, t] for t in 1:T)) # zonal level total fuel cost for output @expression(EP, eZonalCFuelOut[z = 1:Z], EP[:vZERO] + sum(EP[:ePlantCFuelOut][y] for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) + + # system level total fuel cost for output @expression(EP, eTotalCFuelOut, sum(eZonalCFuelOut[z] for z in 1:Z)) - add_to_expression!(EP[:eObj], EP[:eTotalCFuelOut]) + @expression(EP, eTotalCFuelStart, sum(eZonalCFuelStart[z] for z in 1:Z)) + + add_to_expression!(EP[:eObj], EP[:eTotalCFuelOut] + EP[:eTotalCFuelStart]) + + + + #fuel consumption (MMBTU) + @expression(EP, eFuelConsumption[f in 1:FUEL, t in 1:T], + sum(EP[:vFuel][y, t] + EP[:eStartFuel][y,t] + for y in dfGen[dfGen[!,:Fuel] .== string(inputs["fuels"][f]) ,:R_ID])) + + @expression(EP, eFuelConsumptionYear[f in 1:FUEL], + sum(inputs["omega"][t] * EP[:eFuelConsumption][f, t] for t in 1:T)) + + ### Constraint ### @constraint(EP, FuelCalculation[y in setdiff(ALLGEN, THERM_COMMIT), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index dd89903c0b..332bc6b4cf 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -12,7 +12,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) VRE_STOR = inputs["VRE_STOR"] ELECTROLYZER = inputs["ELECTROLYZER"] - cost_list = ["cTotal", "cFix", "cVar", "cNSE", "cStart", "cUnmetRsv", "cNetworkExp", "cUnmetPolicyPenalty"] + cost_list = ["cTotal", "cFix", "cVar", "cFuel" ,"cNSE", "cStart", "cStartFuel", "cUnmetRsv", "cNetworkExp", "cUnmetPolicyPenalty"] if !isempty(VRE_STOR) push!(cost_list, "cGridConnection") end @@ -47,31 +47,32 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) end if setup["UCommit"]>=1 - dfCost[5,2] = value(EP[:eTotalCStart]) + dfCost[6,2] = value(EP[:eTotalCStart]) + dfCost[7,2] = value(EP[:eTotalCFuelStart]) end if setup["Reserves"]==1 - dfCost[6,2] = value(EP[:eTotalCRsvPen]) + dfCost[8,2] = value(EP[:eTotalCRsvPen]) end if setup["NetworkExpansion"] == 1 && Z > 1 - dfCost[7,2] = value(EP[:eTotalCNetworkExp]) + dfCost[9,2] = value(EP[:eTotalCNetworkExp]) end if haskey(inputs, "dfCapRes_slack") - dfCost[8,2] += value(EP[:eCTotalCapResSlack]) + dfCost[10,2] += value(EP[:eCTotalCapResSlack]) end if haskey(inputs, "dfESR_slack") - dfCost[8,2] += value(EP[:eCTotalESRSlack]) + dfCost[10,2] += value(EP[:eCTotalESRSlack]) end if haskey(inputs, "dfCO2Cap_slack") - dfCost[8,2] += value(EP[:eCTotalCO2CapSlack]) + dfCost[10,2] += value(EP[:eCTotalCO2CapSlack]) end if haskey(inputs, "MinCapPriceCap") - dfCost[8,2] += value(EP[:eTotalCMinCapSlack]) + dfCost[10,2] += value(EP[:eTotalCMinCapSlack]) end if !isempty(VRE_STOR) @@ -83,13 +84,17 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) dfCost[6,2] *= ModelScalingFactor^2 dfCost[7,2] *= ModelScalingFactor^2 dfCost[8,2] *= ModelScalingFactor^2 + dfCost[9,2] *= ModelScalingFactor^2 + dfCost[10,2] *= ModelScalingFactor^2 end for z in 1:Z tempCTotal = 0.0 tempCFix = 0.0 tempCVar = 0.0 + tempCFuel = 0.0 tempCStart = 0.0 + tempCStartFuel = 0.0 tempCNSE = 0.0 tempHydrogenValue = 0.0 @@ -105,11 +110,11 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCTotal += eCFix tempCVar = sum(value.(EP[:eCVar_out][Y_ZONE,:])) - CVar_fuel = sum(value.(EP[:ePlantCFuelOut][Y_ZONE,:])) - tempCVar += CVar_fuel - tempCTotal += tempCVar + tempCFuel = sum(value.(EP[:ePlantCFuelOut][Y_ZONE,:])) + tempCTotal += tempCFuel + if !isempty(STOR_ALL_ZONE) eCVar_in = sum(value.(EP[:eCVar_in][STOR_ALL_ZONE,:])) tempCVar += eCVar_in @@ -196,8 +201,11 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) if setup["UCommit"] >= 1 && !isempty(COMMIT_ZONE) eCStart = sum(value.(EP[:eCStart][COMMIT_ZONE,:])) + eCStartFuel = sum(value.(EP[:ePlantCFuelStart][COMMIT_ZONE,:])) tempCStart += eCStart + tempCStartFuel += eCStartFuel tempCTotal += eCStart + tempCTotal += eCStartFuel end if !isempty(ELECTROLYZERS_ZONE) @@ -213,12 +221,13 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCTotal *= ModelScalingFactor^2 tempCFix *= ModelScalingFactor^2 tempCVar *= ModelScalingFactor^2 + tempCFuel *= ModelScalingFactor^2 tempCNSE *= ModelScalingFactor^2 tempCStart *= ModelScalingFactor^2 tempHydrogenValue *= ModelScalingFactor^2 + tempCStartFuel *= ModelScalingFactor^2 end - - temp_cost_list = [tempCTotal, tempCFix, tempCVar, tempCNSE, tempCStart, "-", "-", "-"] + temp_cost_list = [tempCTotal, tempCFix, tempCVar, tempCFuel,tempCNSE, tempCStart,tempCStartFuel, "-", "-", "-"] if !isempty(VRE_STOR) push!(temp_cost_list, "-") end diff --git a/src/write_outputs/write_fuel_consumption.jl b/src/write_outputs/write_fuel_consumption.jl index 75c294351e..e7a34ea1d3 100644 --- a/src/write_outputs/write_fuel_consumption.jl +++ b/src/write_outputs/write_fuel_consumption.jl @@ -38,7 +38,7 @@ function write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, # Fuel consumption by each resource per time step dfPlantFuel_TS = DataFrame(Resource = inputs["RESOURCES"]) - tempts = value.(EP[:ePlantFuel]) + tempts = value.(EP[:vFuel] + EP[:eStartFuel]) if setup["ParameterScale"] == 1 tempts *= ModelScalingFactor # kMMBTU to MMBTU end From c7d96a3a72415242fd6a5c4b4f413bd06989d075 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 22 Aug 2023 19:47:29 -0400 Subject: [PATCH 07/33] add cCO2, which represent the costs or credits associated with CO2. add cCO2, which represent the costs or credits associated with CO2. positive values are costs while negative values are credits. --- src/model/core/co2.jl | 6 +++--- src/write_outputs/write_costs.jl | 16 ++++++++++++++-- 2 files changed, 17 insertions(+), 5 deletions(-) diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 42b0cd5193..1eb52dccbe 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -64,10 +64,10 @@ function co2!(EP::Model, inputs::Dict) # if all the CO2 capture rates from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU if all(x -> x == 0, dfGen.CO2_Capture_Rate) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((1-dfGen.Biomass[y]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) + ((1-dfGen[!, :Biomass][y]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) else @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((1-dfGen.Biomass[y]) - dfGen[!, :CO2_Capture_Rate][y]) * + (1-dfGen[!, :Biomass][y] - dfGen[!, :CO2_Capture_Rate][y]) * ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) @@ -78,7 +78,7 @@ function co2!(EP::Model, inputs::Dict) inputs["fuel_CO2"][dfGen[y,:Fuel]])) - #************************************* not sure why do we need those expressions. + #************************************* @expression(EP, eEmissionsCaptureByPlantYear[y=1:G], sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] for t in 1:T)) diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index 332bc6b4cf..12250ff865 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -12,7 +12,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) VRE_STOR = inputs["VRE_STOR"] ELECTROLYZER = inputs["ELECTROLYZER"] - cost_list = ["cTotal", "cFix", "cVar", "cFuel" ,"cNSE", "cStart", "cStartFuel", "cUnmetRsv", "cNetworkExp", "cUnmetPolicyPenalty"] + cost_list = ["cTotal", "cFix", "cVar", "cFuel" ,"cNSE", "cStart", "cStartFuel", "cUnmetRsv", "cNetworkExp", "cUnmetPolicyPenalty", "cCO2"] if !isempty(VRE_STOR) push!(cost_list, "cGridConnection") end @@ -79,6 +79,10 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) dfCost[!,2][9] = value(EP[:eTotalCGrid]) * (setup["ParameterScale"] == 1 ? ModelScalingFactor^2 : 1) end + if any(x -> x != 0, dfGen.CO2_Capture_Rate) + dfCost[11,2] += value(EP[:eTotaleCCO2Sequestration]) + end + if setup["ParameterScale"] == 1 dfCost[5,2] *= ModelScalingFactor^2 dfCost[6,2] *= ModelScalingFactor^2 @@ -86,6 +90,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) dfCost[8,2] *= ModelScalingFactor^2 dfCost[9,2] *= ModelScalingFactor^2 dfCost[10,2] *= ModelScalingFactor^2 + dfCost[11,2] *= ModelScalingFactor^2 end for z in 1:Z @@ -97,6 +102,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCStartFuel = 0.0 tempCNSE = 0.0 tempHydrogenValue = 0.0 + tempCCO2 = 0.0 Y_ZONE = dfGen[dfGen[!,:Zone].==z,:R_ID] STOR_ALL_ZONE = intersect(inputs["STOR_ALL"], Y_ZONE) @@ -217,6 +223,11 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCNSE = sum(value.(EP[:eCNSE][:,:,z])) tempCTotal += tempCNSE + if any(x -> x != 0, dfGen.CO2_Capture_Rate) + tempCCO2 = sum(value.(EP[:ePlantCCO2Sequestration][Y_ZONE,:])) + tempCTotal += tempCCO2 + end + if setup["ParameterScale"] == 1 tempCTotal *= ModelScalingFactor^2 tempCFix *= ModelScalingFactor^2 @@ -226,8 +237,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCStart *= ModelScalingFactor^2 tempHydrogenValue *= ModelScalingFactor^2 tempCStartFuel *= ModelScalingFactor^2 + tempCCO2 *= ModelScalingFactor^2 end - temp_cost_list = [tempCTotal, tempCFix, tempCVar, tempCFuel,tempCNSE, tempCStart,tempCStartFuel, "-", "-", "-"] + temp_cost_list = [tempCTotal, tempCFix, tempCVar, tempCFuel,tempCNSE, tempCStart,tempCStartFuel, "-", "-", "-", tempCCO2] if !isempty(VRE_STOR) push!(temp_cost_list, "-") end From cc35d608956d7568d5e3e96be87a674d99d3bbb6 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 23 Aug 2023 12:48:27 -0400 Subject: [PATCH 08/33] Update write_fuel_consumption.jl --- src/write_outputs/write_fuel_consumption.jl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/write_outputs/write_fuel_consumption.jl b/src/write_outputs/write_fuel_consumption.jl index e7a34ea1d3..4e9ee7d199 100644 --- a/src/write_outputs/write_fuel_consumption.jl +++ b/src/write_outputs/write_fuel_consumption.jl @@ -28,7 +28,7 @@ function write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, Fuel = dfGen[!, :Fuel], Zone = dfGen[!,:Zone], AnnualSum = zeros(G)) - tempannualsum = value.(EP[:ePlantCFuelOut]) + tempannualsum = value.(EP[:ePlantCFuelOut]) + value.(EP[:ePlantCFuelStart]) if setup["ParameterScale"] == 1 tempannualsum *= ModelScalingFactor # kMMBTU to MMBTU end From 1735a603c7c27a96a480e812d2dd88d850310105 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 23 Aug 2023 16:41:06 -0400 Subject: [PATCH 09/33] fixed an error in write_cost.jl Co-Authored-By: Qingyu Xu --- src/write_outputs/write_costs.jl | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index 12250ff865..c5409dfb3e 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -23,7 +23,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) cVar = value(EP[:eTotalCVarOut])+ (!isempty(inputs["STOR_ALL"]) ? value(EP[:eTotalCVarIn]) : 0.0) + (!isempty(inputs["FLEX"]) ? value(EP[:eTotalCVarFlexIn]) : 0.0) cFix = value(EP[:eTotalCFix]) + (!isempty(inputs["STOR_ALL"]) ? value(EP[:eTotalCFixEnergy]) : 0.0) + (!isempty(inputs["STOR_ASYMMETRIC"]) ? value(EP[:eTotalCFixCharge]) : 0.0) - + + cFuel = value.(EP[:eTotalCFuelOut]) + if !isempty(VRE_STOR) cFix += ((!isempty(inputs["VS_DC"]) ? value(EP[:eTotalCFixDC]) : 0.0) + (!isempty(inputs["VS_SOLAR"]) ? value(EP[:eTotalCFixSolar]) : 0.0) + (!isempty(inputs["VS_WIND"]) ? value(EP[:eTotalCFixWind]) : 0.0)) cVar += ((!isempty(inputs["VS_SOLAR"]) ? value(EP[:eTotalCVarOutSolar]) : 0.0) + (!isempty(inputs["VS_WIND"]) ? value(EP[:eTotalCVarOutWind]) : 0.0)) @@ -31,9 +33,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) cFix += ((!isempty(inputs["VS_STOR"]) ? value(EP[:eTotalCFixStor]) : 0.0) + (!isempty(inputs["VS_ASYM_DC_CHARGE"]) ? value(EP[:eTotalCFixCharge_DC]) : 0.0) + (!isempty(inputs["VS_ASYM_DC_DISCHARGE"]) ? value(EP[:eTotalCFixDischarge_DC]) : 0.0) + (!isempty(inputs["VS_ASYM_AC_CHARGE"]) ? value(EP[:eTotalCFixCharge_AC]) : 0.0) + (!isempty(inputs["VS_ASYM_AC_DISCHARGE"]) ? value(EP[:eTotalCFixDischarge_AC]) : 0.0)) cVar += (!isempty(inputs["VS_STOR"]) ? value(EP[:eTotalCVarStor]) : 0.0) end - total_cost = [objective_value(EP), cFix, cVar, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] + total_cost =[objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] else - total_cost = [objective_value(EP), cFix, cVar, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0] + total_cost = [objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] end if !isempty(ELECTROLYZER) @@ -84,7 +86,6 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) end if setup["ParameterScale"] == 1 - dfCost[5,2] *= ModelScalingFactor^2 dfCost[6,2] *= ModelScalingFactor^2 dfCost[7,2] *= ModelScalingFactor^2 dfCost[8,2] *= ModelScalingFactor^2 From 081be509931491d6a0d0bee3be5fb068a29809d3 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 23 Aug 2023 19:14:00 -0400 Subject: [PATCH 10/33] improve the documentation Co-Authored-By: Qingyu Xu --- src/model/core/co2.jl | 24 +++++++++++++----------- src/model/core/fuel.jl | 23 ++++++++++------------- 2 files changed, 23 insertions(+), 24 deletions(-) diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 1eb52dccbe..758e4e37d4 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -18,34 +18,36 @@ received this license file. If not, see . co2!(EP::Model, inputs::Dict) -This function creates expression to account for $CO_2$ emissions and captured and sequestrated $CO_2$ from thermal generators. It also has the capability to model the negative CO2 emissions from bioenergy with carbon capture and storage. This module will displace the emissions module. +This function creates expression to account for CO2 emissions and captured and sequestrated CO2 from thermal generators. It also has the capability to model the negative CO2 emissions from bioenergy with carbon capture and storage. This module will displace the emissions module. -** Expressions ** +***** Expressions ***** -For thermal generators that use fuels that contain $CO_2$ content (e.g., coal, natural gas, and biomass), the $CO_2$ emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock is biomass. Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be carbon-neutral because the carbon in the biomass is originated from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. +For thermal generators that use fuels that contain CO2 content (e.g., coal, natural gas, and biomass), the CO2 emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock is biomass. Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be carbon-neutral because the carbon in the biomass is originated from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. -Here we create a column called Biomass in the Generator data file (1 or 0), which determines if a generator $g$ uses biomass or not. The CO2 emissions from a generator should be zero without CCS and negative with CCS. +Here we create a column called Biomass in the Generator data file (1 or 0), which determines if a generator $y$ uses biomass or not. The CO2 emissions from a generator should be zero without CCS and negative with CCS. -The CO2 emissions from the generator $g$ at time $t$, denoted by $eEmissionsByPlant_{g,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times (1 - Biomass - CO2 capture rate). In short, the CO2 emissions depend on total CO2 content from fuel consumption, the CO2 capture rate, and whether the generators use biomass. +The CO2 emissions from the generator $y$ at time $t$, denoted by $eEmissionsByPlant_{y,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the CO2 content of the fuel (t CO2/MMBTU), then times (1 - Biomass - CO2 capture rate). In short, the CO2 emissions depend on total CO2 content from fuel consumption, the CO2 capture rate, and whether the generators use biomass. ```math \begin{aligned} -$eEmissionsByPlant_{g,t}$ = (1-$Biomass_y$- $CO2CaptureRate_y$) * ($vFuel_{y,t}$ + $eStartFuel_{y,t}$) * $CO2_{content}$ -\hspace{1cm} \forall g \in \matchal{G}, \forall t \in \matchal{T}, $Biomass_y$ \in {{0,1}} +eEmissionsByPlant_{g,t} = (1-Biomass_y- CO2\_Capture\_Rate_y) * (vFuel_{y,t} + eStartFuel_{y,t}) * CO2_{content} +\hspace{1cm} \forall y \in G, \forall t \in T, Biomass_y \in {{0,1}} \end{aligned} ``` -Where $Biomass_y$ represents a binary variable that determines if the generator $y$ uses biomass (Biomass = 1) or not (Biomass = 0), $CO2CaptureRate_y$ represents a fraction (between 0 - 1) for $CO_2$ capture rate. -In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the generator $g$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times CO2 capture rate. +Where $Biomass_y$ represents a binary variable that determines if the generator $y$ uses biomass (Biomass = 1) or not (Biomass = 0), $CO2\_Capture\_Rate_y$ represents a fraction (between 0 - 1) for CO2 capture rate. + +In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times CO2 capture rate. ```math \begin{aligned} -$eEmissionsCaptureByPlant_{g,t}$ = $CO2CaptureRate_y$ * ($vFuel_{y,t}$ + $eStartFuel_{y,t}$) * $CO2_{content}$ -\hspace{1cm} \forall g \in \matchal{G}, \forall t \in \matchal{T} +eEmissionsCaptureByPlant_{g,t} = CO2\_Capture\_Rate_y * (vFuel_{y,t} + eStartFuel_{y,t}) * CO2_{content} +\hspace{1cm} \forall y \in G, \forall t \in T \end{aligned} ``` + """ function co2!(EP::Model, inputs::Dict) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index fb55da5018..57cdf80008 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -17,15 +17,16 @@ received this license file. If not, see . @doc raw""" + fuel!(EP::Model, inputs::Dict, setup::Dict) This function creates expression to account for total fuel consumption (e.g., coal, natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel consumption in part load (if data is available) -\*\* Expressions \*\* +***** Expressions ****** The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation ($vP_{y,t}$) mutiplied by the corresponding heat rate ($Hear\_Rate_y$). -The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart_{y,t}$, respectively, are determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel_{y,t}$) multiplied by the fuel costs (\$/MMBTU) +The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of the operating mode. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. @@ -35,13 +36,10 @@ vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} \hspace{1cm} \forall y \in G, \forall t \in T, \forall x \in X \end{aligned} ``` - Where $h_{y,x}$ represents incremental heat rate of a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept of fuel consumption of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. We include at most three segements to represent the piecewise heat consumption. Since fuel consumption has a positive value, the optimization will optimize the fuel consumption by enforcing the inequity to equal to the highest piecewise segment. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. - - """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -68,10 +66,11 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) end) # fuel_cost is in $/MMBTU (M$/billion BTU if scaled) - # vFuel is MMBTU (or billion BTU if scaled) - # therefore eCFuel_start or eCFuel_out is $ or Million$) - # separately track the start up fuel and fuel consumption for power generation - # start up cost + # vFuel and eStartFuel is MMBTU (or billion BTU if scaled) + # Therefore eCFuel_start or eCFuel_out is $ or Million$) + # Separately track the start up fuel and fuel consumption for power generation + + # Start up fuel cost @expression(EP, eCFuelStart[y = 1:G, t = 1:T], (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:eStartFuel][y, t])) # plant level start-up fuel cost for output @@ -81,7 +80,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) @expression(EP, eZonalCFuelStart[z = 1:Z], EP[:vZERO] + sum(EP[:ePlantCFuelStart][y] for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) - # fuel cost + # Fuel cost for power generation @expression(EP, eCFuelOut[y = 1:G, t = 1:T], (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:vFuel][y, t])) # plant level start-up fuel cost for output @@ -99,9 +98,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) add_to_expression!(EP[:eObj], EP[:eTotalCFuelOut] + EP[:eTotalCFuelStart]) - - - #fuel consumption (MMBTU) + #fuel consumption (MMBTU or Billion BTU) @expression(EP, eFuelConsumption[f in 1:FUEL, t in 1:T], sum(EP[:vFuel][y, t] + EP[:eStartFuel][y,t] for y in dfGen[dfGen[!,:Fuel] .== string(inputs["fuels"][f]) ,:R_ID])) From 9342e3dfb19e0ff1743922a7c2b0c75b974f1e23 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Thu, 24 Aug 2023 17:45:11 -0400 Subject: [PATCH 11/33] Fixed a typo, change col names, modify the documentation Fixed a typo. For piecewise fuel consumption module, change the "slope" to "Incremental_Heat_Rate_Segment", change "intercept" to "Intercept_Fuel_Consumption_Segment". The updated col names should be better representation than previous names. Also scale the "Intercept_Fuel_Consumption_Segment" when scaling is on. --- src/load_inputs/load_generators_data.jl | 22 +++++++++++++++++++++- src/model/core/fuel.jl | 25 ++++++++++++++----------- 2 files changed, 35 insertions(+), 12 deletions(-) diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 9163dadadd..d56c984d4c 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -205,9 +205,29 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di # Scale CO2_Capture_Cost_per_Metric_Ton for CCS units inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton = ("CO2_Capture_Cost_per_Metric_Ton" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton : zeros(Int, nrow(inputs_gen["dfGen"])) - inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton = inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton/scale_factor + # Scale Intercept of fuel consumption of segments + # Users should at least provide Incremental_Heat_Rate_Segment1 and Intercept_Fuel_Consumption_Segment1 + # if Users didn't provide data for but turn on piecewiseheatrate, we will set the Incremental_Heat_Rate_Segment to be the same as conventional heat rate, and set intetcepts of fuel consumption to zero + if setup["UCommit"] > 0 + if setup["PieceWiseHeatRate"] == 1 + inputs_gen["dfGen"].Incremental_Heat_Rate_Segment1 = ("Incremental_Heat_Rate_Segment1" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Incremental_Heat_Rate_Segment1 : inputs_gen["dfGen"].Heat_Rate_MMBTU_per_MWh + inputs_gen["dfGen"].Incremental_Heat_Rate_Segment2 = ("Incremental_Heat_Rate_Segment2" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Incremental_Heat_Rate_Segment2 : zeros(Int, nrow(inputs_gen["dfGen"])) + inputs_gen["dfGen"].Incremental_Heat_Rate_Segment3 = ("Incremental_Heat_Rate_Segment3" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Incremental_Heat_Rate_Segment3 : zeros(Int, nrow(inputs_gen["dfGen"])) + + inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1 = ("Intercept_Fuel_Consumption_Segment1" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1 : zeros(Int, nrow(inputs_gen["dfGen"])) + inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2 = ("Intercept_Fuel_Consumption_Segment2" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2 : zeros(Int, nrow(inputs_gen["dfGen"])) + inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3 = ("Intercept_Fuel_Consumption_Segment3" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3 : zeros(Int, nrow(inputs_gen["dfGen"])) + # no need to scale incremental heat rate, but the intercept of fuel consumption in each segment needs to be scaled. + inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1 = inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1/scale_factor + inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2 = inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2/scale_factor + inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3 = inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3/scale_factor + end + end + + + println(filename * " Successfully Read!") end diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 57cdf80008..039c25dfef 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -28,7 +28,7 @@ The fuel consumption for power generation $vFuel_{y,t}$ is determined by power g The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) -From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of the operating mode. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. +From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of minimum load or full load. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. ```math \begin{aligned} @@ -36,10 +36,13 @@ vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} \hspace{1cm} \forall y \in G, \forall t \in T, \forall x \in X \end{aligned} ``` -Where $h_{y,x}$ represents incremental heat rate of a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept of fuel consumption of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. We include at most three segements to represent the piecewise heat consumption. +Where $h_{y,x}$ represents incremental heat rate of a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept of fuel consumption of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. We include at most three segments to represent the piecewise heat consumption. Since fuel consumption has a positive value, the optimization will optimize the fuel consumption by enforcing the inequity to equal to the highest piecewise segment. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. +In order to run piecewise fuel consumption module, the unit commitment must be turned on, and users should provide Incremental_Heat_Rate_Segmenti and Intercept_Fuel_Consumption_Segmenti for at least one segment. + +If users only want to model piecewise heat rate for some of thermal generators, then set the Incremental_Heat_Rate_Segment1 for thoese plants to be the same as conventional heat rate, and then set Incremental_Heat_Rate_Segment2/3 and Intercept_Fuel_Consumption_Segment1/2/3 to be zero. """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -113,15 +116,15 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) if !isempty(THERM_COMMIT) if setup["PieceWiseHeatRate"] == 1 # Piecewise heat rate UC - @constraint(EP, First_segement[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Slope1][y] + - EP[:vCOMMIT][y, t] * dfGen[!, :Intercept1][y])) - @constraint(EP, Second_segement[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Slope2][y] + - EP[:vCOMMIT][y, t] * dfGen[!, :Intercept2][y])) - @constraint(EP, Third_segement[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Slope3][y] + - EP[:vCOMMIT][y, t] * dfGen[!, :Intercept3][y])) + @constraint(EP, First_segment[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Incremental_Heat_Rate_Segment1][y] + + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment1][y])) + @constraint(EP, Second_segment[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Incremental_Heat_Rate_Segment2][y] + + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment2][y])) + @constraint(EP, Third_segment[y in THERM_COMMIT, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Incremental_Heat_Rate_Segment3][y] + + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment3][y])) else @constraint(EP, FuelCalculationCommit[y in THERM_COMMIT, t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) From a646ef4181a9c84d918361f1af127fbec9fe8c33 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Fri, 25 Aug 2023 17:08:25 -0400 Subject: [PATCH 12/33] Revise based on Jacob's comments 1. changed "PieceWiseHeatRate" to "PiecewiseHeatRate" 2. Deleted license header 3. No need to initialize array as zeros 4. wrote df[!, col][row] as df[row,: col] 5. replaced inputs_gen["dfGen"] to gen_in 6. used /= operator to avoid listing col names twice 7. create a function to write zeros if col names do not exist in gen_in --- src/configure_settings/configure_settings.jl | 2 +- src/load_inputs/load_generators_data.jl | 41 +++++++++++++------- src/model/core/co2.jl | 22 ++--------- src/model/core/fuel.jl | 36 +++++------------ src/write_outputs/write_co2.jl | 19 +-------- src/write_outputs/write_costs.jl | 2 +- src/write_outputs/write_fuel_consumption.jl | 16 +------- 7 files changed, 42 insertions(+), 96 deletions(-) diff --git a/src/configure_settings/configure_settings.jl b/src/configure_settings/configure_settings.jl index 0ad89b4c98..76a8af3546 100644 --- a/src/configure_settings/configure_settings.jl +++ b/src/configure_settings/configure_settings.jl @@ -24,7 +24,7 @@ function default_settings() "IncludeLossesInESR" => 0, "EnableJuMPStringNames" => false, "HydrogenHourlyMatching" => 0, - "PieceWiseHeatRate" => 0 + "PiecewiseHeatRate" => 0 ) end diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index d56c984d4c..8d2a87531e 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -203,26 +203,26 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di load_vre_stor_data!(inputs_gen, setup, path) + # write zeros if col names are not in the gen_in dataframe + missing_cols = ["Incremental_Heat_Rate_Segment2", "Incremental_Heat_Rate_Segment3", "Intercept_Fuel_Consumption_Segment1","Intercept_Fuel_Consumption_Segment2", "Intercept_Fuel_Consumption_Segment3", + "Biomass", "CO2_Capture_Rate", "CO2_Capture_Cost_per_Metric_Ton"] + write_zeros_if_not_exist!(gen_in, missing_cols) + + # Scale CO2_Capture_Cost_per_Metric_Ton for CCS units - inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton = ("CO2_Capture_Cost_per_Metric_Ton" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton : zeros(Int, nrow(inputs_gen["dfGen"])) - inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton = inputs_gen["dfGen"].CO2_Capture_Cost_per_Metric_Ton/scale_factor + gen_in.CO2_Capture_Cost_per_Metric_Ton /= scale_factor # Scale Intercept of fuel consumption of segments # Users should at least provide Incremental_Heat_Rate_Segment1 and Intercept_Fuel_Consumption_Segment1 - # if Users didn't provide data for but turn on piecewiseheatrate, we will set the Incremental_Heat_Rate_Segment to be the same as conventional heat rate, and set intetcepts of fuel consumption to zero + # if Users didn't provide data for but turn on piecewiseheatrate, we will set the Incremental_Heat_Rate_Segment to be the same as conventional heat rate if setup["UCommit"] > 0 - if setup["PieceWiseHeatRate"] == 1 - inputs_gen["dfGen"].Incremental_Heat_Rate_Segment1 = ("Incremental_Heat_Rate_Segment1" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Incremental_Heat_Rate_Segment1 : inputs_gen["dfGen"].Heat_Rate_MMBTU_per_MWh - inputs_gen["dfGen"].Incremental_Heat_Rate_Segment2 = ("Incremental_Heat_Rate_Segment2" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Incremental_Heat_Rate_Segment2 : zeros(Int, nrow(inputs_gen["dfGen"])) - inputs_gen["dfGen"].Incremental_Heat_Rate_Segment3 = ("Incremental_Heat_Rate_Segment3" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Incremental_Heat_Rate_Segment3 : zeros(Int, nrow(inputs_gen["dfGen"])) - - inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1 = ("Intercept_Fuel_Consumption_Segment1" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1 : zeros(Int, nrow(inputs_gen["dfGen"])) - inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2 = ("Intercept_Fuel_Consumption_Segment2" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2 : zeros(Int, nrow(inputs_gen["dfGen"])) - inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3 = ("Intercept_Fuel_Consumption_Segment3" in names(inputs_gen["dfGen"])) ? inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3 : zeros(Int, nrow(inputs_gen["dfGen"])) + if setup["PiecewiseHeatRate"] == 1 + gen_in.Incremental_Heat_Rate_Segment1 = ("Incremental_Heat_Rate_Segment1" in names(gen_in)) ? gen_in.Incremental_Heat_Rate_Segment1 : gen_in.Heat_Rate_MMBTU_per_MWh + # no need to scale incremental heat rate, but the intercept of fuel consumption in each segment needs to be scaled. - inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1 = inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment1/scale_factor - inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2 = inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment2/scale_factor - inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3 = inputs_gen["dfGen"].Intercept_Fuel_Consumption_Segment3/scale_factor + gen_in.Intercept_Fuel_Consumption_Segment1 /= scale_factor + gen_in.Intercept_Fuel_Consumption_Segment2 /= scale_factor + gen_in.Intercept_Fuel_Consumption_Segment3 /= scale_factor end end @@ -506,4 +506,15 @@ function load_vre_stor_data!(inputs_gen::Dict, setup::Dict, path::AbstractString inputs_gen["dfVRE_STOR"] = DataFrame() end summarize_errors(error_strings) -end \ No newline at end of file +end + + +function write_zeros_if_not_exist!(dfGen::DataFrame, col_names:: Vector{String}) + for col_name in col_names + if !(col_name in names(dfGen)) + dfGen[!, col_name] = zeros(Int, nrow(dfGen)) + end + end + return dfGen +end + diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 758e4e37d4..5a5489ce06 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -1,19 +1,3 @@ -""" -GenX: An Configurable Capacity Expansion Model -Copyright (C) 2021, Massachusetts Institute of Technology -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU General Public License as published by -the Free Software Foundation; either version 2 of the License, or -(at your option) any later version. -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -GNU General Public License for more details. -A complete copy of the GNU General Public License v2 (GPLv2) is available -in LICENSE.txt. Users uncompressing this from an archive may not have -received this license file. If not, see . -""" - @doc raw""" co2!(EP::Model, inputs::Dict) @@ -66,16 +50,16 @@ function co2!(EP::Model, inputs::Dict) # if all the CO2 capture rates from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU if all(x -> x == 0, dfGen.CO2_Capture_Rate) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((1-dfGen[!, :Biomass][y]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) + ((1-dfGen[y, :Biomass]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) else @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - (1-dfGen[!, :Biomass][y] - dfGen[!, :CO2_Capture_Rate][y]) * + (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Rate]) * ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) # CO2 captured from power plants in "Generator_data.csv" @expression(EP, eEmissionsCaptureByPlant[y=1:G, t=1:T], - (dfGen[!, :CO2_Capture_Rate][y]) * + (dfGen[y, :CO2_Capture_Rate]) * ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 039c25dfef..080a9844ce 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -1,23 +1,5 @@ -""" -GenX: An Configurable Capacity Expansion Model -Copyright (C) 2021, Massachusetts Institute of Technology -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU General Public License as published by -the Free Software Foundation; either version 2 of the License, or -(at your option) any later version. -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -GNU General Public License for more details. -A complete copy of the GNU General Public License v2 (GPLv2) is available -in LICENSE.txt. Users uncompressing this from an archive may not have -received this license file. If not, see . -""" @doc raw""" - - - fuel!(EP::Model, inputs::Dict, setup::Dict) This function creates expression to account for total fuel consumption (e.g., coal, natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel consumption in part load (if data is available) @@ -65,7 +47,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) (dfGen[y,:Cap_Size] * EP[:vSTART][y, t] * dfGen[y,:Start_Fuel_MMBTU_per_MW]) else - 1*EP[:vZERO] + EP[:vZERO] end) # fuel_cost is in $/MMBTU (M$/billion BTU if scaled) @@ -80,7 +62,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) @expression(EP, ePlantCFuelStart[y = 1:G], sum(inputs["omega"][t] * EP[:eCFuelStart][y, t] for t in 1:T)) # zonal level total fuel cost for output - @expression(EP, eZonalCFuelStart[z = 1:Z], EP[:vZERO] + + @expression(EP, eZonalCFuelStart[z = 1:Z], sum(EP[:ePlantCFuelStart][y] for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) # Fuel cost for power generation @@ -90,7 +72,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) @expression(EP, ePlantCFuelOut[y = 1:G], sum(inputs["omega"][t] * EP[:eCFuelOut][y, t] for t in 1:T)) # zonal level total fuel cost for output - @expression(EP, eZonalCFuelOut[z = 1:Z], EP[:vZERO] + + @expression(EP, eZonalCFuelOut[z = 1:Z], sum(EP[:ePlantCFuelOut][y] for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) @@ -114,16 +96,16 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) @constraint(EP, FuelCalculation[y in setdiff(ALLGEN, THERM_COMMIT), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) if !isempty(THERM_COMMIT) - if setup["PieceWiseHeatRate"] == 1 + if setup["PiecewiseHeatRate"] == 1 # Piecewise heat rate UC @constraint(EP, First_segment[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Incremental_Heat_Rate_Segment1][y] + - EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment1][y])) + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, :Incremental_Heat_Rate_Segment1] + + EP[:vCOMMIT][y, t] * dfGen[y, :Intercept_Fuel_Consumption_Segment1])) @constraint(EP, Second_segment[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Incremental_Heat_Rate_Segment2][y] + - EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment2][y])) + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, :Incremental_Heat_Rate_Segment2] + + EP[:vCOMMIT][y, t] * dfGen[y, :Intercept_Fuel_Consumption_Segment2])) @constraint(EP, Third_segment[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[!, :Incremental_Heat_Rate_Segment3][y] + + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, :Incremental_Heat_Rate_Segment3] + EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment3][y])) else @constraint(EP, FuelCalculationCommit[y in THERM_COMMIT, t = 1:T], diff --git a/src/write_outputs/write_co2.jl b/src/write_outputs/write_co2.jl index cd75d4d9fd..502e32a373 100644 --- a/src/write_outputs/write_co2.jl +++ b/src/write_outputs/write_co2.jl @@ -1,23 +1,7 @@ -""" -GenX: An Configurable Capacity Expansion Model -Copyright (C) 2021, Massachusetts Institute of Technology -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU General Public License as published by -the Free Software Foundation; either version 2 of the License, or -(at your option) any later version. -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -GNU General Public License for more details. -A complete copy of the GNU General Public License v2 (GPLv2) is available -in LICENSE.txt. Users uncompressing this from an archive may not have -received this license file. If not, see . -""" - @doc raw""" write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) -Function for reporting time-dependent CO$_2$ emissions by zone. +Function for reporting time-dependent CO2 emissions by zone. """ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) @@ -28,7 +12,6 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) # CO2 emissions by plant dfEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) - emissions_plant = zeros(G, T) emissions_plant = value.(EP[:eEmissionsByPlant]) if setup["ParameterScale"] == 1 emissions_plant *= ModelScalingFactor diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index c5409dfb3e..9ec9c86999 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -35,7 +35,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) end total_cost =[objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] else - total_cost = [objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] + total_cost = [objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] end if !isempty(ELECTROLYZER) diff --git a/src/write_outputs/write_fuel_consumption.jl b/src/write_outputs/write_fuel_consumption.jl index 4e9ee7d199..e27159d1c7 100644 --- a/src/write_outputs/write_fuel_consumption.jl +++ b/src/write_outputs/write_fuel_consumption.jl @@ -1,20 +1,6 @@ -""" -GenX: An Configurable Capacity Expansion Model -Copyright (C) 2021, Massachusetts Institute of Technology -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU General Public License as published by -the Free Software Foundation; either version 2 of the License, or -(at your option) any later version. -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -GNU General Public License for more details. -A complete copy of the GNU General Public License v2 (GPLv2) is available -in LICENSE.txt. Users uncompressing this from an archive may not have -received this license file. If not, see . -""" @doc raw""" + write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) write fuel consumption of each power plant. """ function write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) From a8995909ecf153e0daa8209525e854b13bfdce82 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Mon, 28 Aug 2023 16:37:01 -0400 Subject: [PATCH 13/33] revise based on Gabe's comments 1. Changed "PiecewiseHeatRate" to "PiecewiseFuelUsage" as we are modeling the linear approximation of fuel consumption at different load. PiecewiseFuelUsage sounds more accurate since it's in fuel.jl 2. add co2.jl and fuel.jl to MD files 3. make piecewise fuel usage flexible rather than fixing at 3 segments. 4. add "CO2_Capturate_Rate_Startup" for co2 emissions during the start up events. Typically, the CO2 capture rate during the start up is less than the CO2 capture rate at steady state 5. Change "Incremental_Heat_Rate" and "Intercept_fuel_consumption" back to "Slope" and "Intercept" 6. improve the documentation --- docs/src/core.md | 10 ++++- src/configure_settings/configure_settings.jl | 2 +- src/load_inputs/load_fuels_data.jl | 3 +- src/load_inputs/load_generators_data.jl | 37 ++++++++++--------- src/model/core/co2.jl | 35 +++++++++--------- src/model/core/discharge/discharge.jl | 6 +-- src/model/core/fuel.jl | 39 ++++++++++---------- src/model/generate_model.jl | 8 ++-- 8 files changed, 75 insertions(+), 65 deletions(-) diff --git a/docs/src/core.md b/docs/src/core.md index af2b19cca2..00bca332e2 100644 --- a/docs/src/core.md +++ b/docs/src/core.md @@ -29,8 +29,14 @@ Pages = ["transmission.jl"] Modules = [GenX] Pages = ["ucommit.jl"] ``` -## Emissions +## CO2 ```@autodocs Modules = [GenX] -Pages = ["emissions.jl"] +Pages = ["co2.jl"] +``` + +## Fuel +```@autodocs +Modules = [GenX] +Pages = ["fuel.jl"] ``` diff --git a/src/configure_settings/configure_settings.jl b/src/configure_settings/configure_settings.jl index 76a8af3546..4be152e647 100644 --- a/src/configure_settings/configure_settings.jl +++ b/src/configure_settings/configure_settings.jl @@ -24,7 +24,7 @@ function default_settings() "IncludeLossesInESR" => 0, "EnableJuMPStringNames" => false, "HydrogenHourlyMatching" => 0, - "PiecewiseHeatRate" => 0 + "PiecewiseFuelUsage" => 0 ) end diff --git a/src/load_inputs/load_fuels_data.jl b/src/load_inputs/load_fuels_data.jl index a0b0b0eb97..fe15ea824c 100644 --- a/src/load_inputs/load_fuels_data.jl +++ b/src/load_inputs/load_fuels_data.jl @@ -33,8 +33,7 @@ function load_fuels_data!(setup::Dict, path::AbstractString, inputs::Dict) for i = 1:length(fuels) # fuel cost is in $/MMBTU w/o scaling, $/Billon BTU w/ scaling fuel_costs[fuels[i]] = costs[:,i] / scale_factor - # fuel_CO2 is ton/MMBTU w/o scaling, or kton/Billion BTU w/ scaling. - # No need to scale fuel_CO2 + # No need to scale fuel_CO2, fuel_CO2 is ton/MMBTU or kton/Billion BTU fuel_CO2[fuels[i]] = CO2_content[i] end diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 8d2a87531e..f820c2b788 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -190,12 +190,10 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di inputs_gen["C_Start"] = zeros(Float64, G, inputs_gen["T"]) end - # The fuel (including start up fuel) costs and CO2 emissions will be separately tracked in Fuel.jl and CO2.jl - # No need to determine C_Fuel_per_MWh and CO2_per_MWh, and C_Start - # Only scale the start up cost here + # scale the start costs for g in 1:G if g in inputs_gen["COMMIT"] - # Start-up cost is sum of fixed cost per start plus cost of fuel consumed on startup. + # Start-up cost is sum of fixed cost per start startup. inputs_gen["C_Start"][g,:] .= gen_in[g,:Cap_Size] * ( start_cost[g]) end end @@ -204,25 +202,30 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di # write zeros if col names are not in the gen_in dataframe - missing_cols = ["Incremental_Heat_Rate_Segment2", "Incremental_Heat_Rate_Segment3", "Intercept_Fuel_Consumption_Segment1","Intercept_Fuel_Consumption_Segment2", "Intercept_Fuel_Consumption_Segment3", - "Biomass", "CO2_Capture_Rate", "CO2_Capture_Cost_per_Metric_Ton"] + missing_cols = ["Biomass", "CO2_Capture_Rate", "CO2_Capture_Rate_Startup", "CO2_Capture_Cost_per_Metric_Ton"] write_zeros_if_not_exist!(gen_in, missing_cols) - # Scale CO2_Capture_Cost_per_Metric_Ton for CCS units gen_in.CO2_Capture_Cost_per_Metric_Ton /= scale_factor - # Scale Intercept of fuel consumption of segments - # Users should at least provide Incremental_Heat_Rate_Segment1 and Intercept_Fuel_Consumption_Segment1 - # if Users didn't provide data for but turn on piecewiseheatrate, we will set the Incremental_Heat_Rate_Segment to be the same as conventional heat rate + # Piecewise fuel usage module + # Users should specify how many segements are used to build piecewise fuel comsumption. + # Users should at least provide Slope1 and Intercept1 if they want to use piecewise fuel usage if setup["UCommit"] > 0 - if setup["PiecewiseHeatRate"] == 1 - gen_in.Incremental_Heat_Rate_Segment1 = ("Incremental_Heat_Rate_Segment1" in names(gen_in)) ? gen_in.Incremental_Heat_Rate_Segment1 : gen_in.Heat_Rate_MMBTU_per_MWh - - # no need to scale incremental heat rate, but the intercept of fuel consumption in each segment needs to be scaled. - gen_in.Intercept_Fuel_Consumption_Segment1 /= scale_factor - gen_in.Intercept_Fuel_Consumption_Segment2 /= scale_factor - gen_in.Intercept_Fuel_Consumption_Segment3 /= scale_factor + if setup["PiecewiseFuelUsage"] == 1 + num_segments = maximum(gen_in[!,:NUM_SEGMENTS]) + inputs_gen["MAX_NUM_SEGMENTS"] = num_segments + # thermal generators (commit) that have NUM_SEGMENTS >= 1 are able to use piecewise fuel usage optional + inputs_gen["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.NUM_SEGMENTS .> 0,:R_ID]) + # create col names based on maximum num of segments + slope_cols = [ Symbol(string("Slope", i)) for i in 1:num_segments] + intercept_cols = [ Symbol(string("Intercept", i)) for i in 1:num_segments] + # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). + for i in 1:num_segments + gen_in[!, intercept_cols[i]] /= scale_factor + end + inputs_gen["slope_cols"] = slope_cols + inputs_gen["intercept_cols"] = intercept_cols end end diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 5a5489ce06..c7cb71ba48 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -6,26 +6,30 @@ This function creates expression to account for CO2 emissions and captured and s ***** Expressions ***** -For thermal generators that use fuels that contain CO2 content (e.g., coal, natural gas, and biomass), the CO2 emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock is biomass. Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be carbon-neutral because the carbon in the biomass is originated from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. +For thermal generators use fuels that contain CO2 content (e.g., coal, natural gas, and biomass), the CO2 emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock is biomass. -Here we create a column called Biomass in the Generator data file (1 or 0), which determines if a generator $y$ uses biomass or not. The CO2 emissions from a generator should be zero without CCS and negative with CCS. +Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be carbon-neutral because the carbon in the biomass is originated from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. -The CO2 emissions from the generator $y$ at time $t$, denoted by $eEmissionsByPlant_{y,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the CO2 content of the fuel (t CO2/MMBTU), then times (1 - Biomass - CO2 capture rate). In short, the CO2 emissions depend on total CO2 content from fuel consumption, the CO2 capture rate, and whether the generators use biomass. +If users want to represet delicated biomass, then in Generators_data.csv, it requires a column name called "Biomass" (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not. The CO2 emissions from a generator should be zero without CCS and negative with CCS. + +The CO2 emissions from the generator $y$ at time $t$ (commited), is determined by total fuel consumption (MMBTU) multiplied by the CO2 content of the fuel (t CO2/MMBTU), then times (1 - Biomass [0 or 1] - CO2 capture rate [a fraction, between 0 - 1]). The CO2 capture rate during the steady-state and startup event could be differernt (generally startup events have lower CO2 capture rates), so we use separated CO2 capture rates to determine the emissions. + +In short, the CO2 emissions depend on total CO2 content from fuel consumption, the CO2 capture rate, and whether the generators use biomass. ```math \begin{aligned} -eEmissionsByPlant_{g,t} = (1-Biomass_y- CO2\_Capture\_Rate_y) * (vFuel_{y,t} + eStartFuel_{y,t}) * CO2_{content} +eEmissionsByPlant_{g,t} = (1-Biomass_y- CO2\_Capture\_Rate_y) * vFuel_{y,t} * CO2_{content} + (1-Biomass_y- CO2\_Capture\_Rate\_Startup_y) * eStartFuel_{y,t} * CO2_{content} \hspace{1cm} \forall y \in G, \forall t \in T, Biomass_y \in {{0,1}} \end{aligned} ``` Where $Biomass_y$ represents a binary variable that determines if the generator $y$ uses biomass (Biomass = 1) or not (Biomass = 0), $CO2\_Capture\_Rate_y$ represents a fraction (between 0 - 1) for CO2 capture rate. -In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by total fuel consumption (MMBTU, including startup fuel) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times CO2 capture rate. +In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by total fuel consumption (MMBTU) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times CO2 capture rate. ```math \begin{aligned} -eEmissionsCaptureByPlant_{g,t} = CO2\_Capture\_Rate_y * (vFuel_{y,t} + eStartFuel_{y,t}) * CO2_{content} +eEmissionsCaptureByPlant_{g,t} = CO2\_Capture\_Rate_y * vFuel_{y,t} * CO2_{content} + CO2\_Capture\_Rate\_Startup_y * eStartFuel_{y,t} * CO2_{content} \hspace{1cm} \forall y \in G, \forall t \in T \end{aligned} ``` @@ -42,26 +46,23 @@ function co2!(EP::Model, inputs::Dict) T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones - dfGen.Biomass = "Biomass" in names(dfGen) ? dfGen.Biomass : zeros(Int, nrow(dfGen)) - dfGen.CO2_Capture_Rate = "CO2_Capture_Rate" in names(dfGen) ? dfGen.CO2_Capture_Rate : zeros(Int, nrow(dfGen)) - ### Expressions ### - # CO2 emissions from power plants in "Generator_data.csv" + # CO2 emissions from power plants in "Generators_data.csv" # if all the CO2 capture rates from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU if all(x -> x == 0, dfGen.CO2_Capture_Rate) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], ((1-dfGen[y, :Biomass]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) else + # The CO2_Capture_Rate refers to the CO2 capture rate of CCS equiped power plants at a steady state + # The CO2_Capture_Rate_Startup refers to the CO2 capture rate of CCS equiped power plants during the startup event @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Rate]) * - ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * - inputs["fuel_CO2"][dfGen[y,:Fuel]])) + (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Rate]) * EP[:vFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]+ + (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Rate_Startup]) * EP[:eStartFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]) - # CO2 captured from power plants in "Generator_data.csv" + # CO2 captured from power plants in "Generators_data.csv" @expression(EP, eEmissionsCaptureByPlant[y=1:G, t=1:T], - (dfGen[y, :CO2_Capture_Rate]) * - ((EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * - inputs["fuel_CO2"][dfGen[y,:Fuel]])) + dfGen[y, :CO2_Capture_Rate] * EP[:vFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]+ + dfGen[y, :CO2_Capture_Rate_Startup] * EP[:eStartFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]) #************************************* diff --git a/src/model/core/discharge/discharge.jl b/src/model/core/discharge/discharge.jl index f31a1c96dd..977ea4f04c 100644 --- a/src/model/core/discharge/discharge.jl +++ b/src/model/core/discharge/discharge.jl @@ -1,11 +1,11 @@ @doc raw""" discharge(EP::Model, inputs::Dict, setup::Dict) This module defines the power decision variable $\Theta_{y,t} \forall y \in \mathcal{G}, t \in \mathcal{T}$, representing energy injected into the grid by resource $y$ by at time period $t$. -This module additionally defines contributions to the objective function from variable costs of generation (variable O&M plus fuel cost) from all resources $y \in \mathcal{G}$ over all time periods $t \in \mathcal{T}$: +This module additionally defines contributions to the objective function from variable costs of generation (variable O&M) from all resources $y \in \mathcal{G}$ over all time periods $t \in \mathcal{T}$: ```math \begin{aligned} Obj_{Var\_gen} = - \sum_{y \in \mathcal{G} } \sum_{t \in \mathcal{T}}\omega_{t}\times(\pi^{VOM}_{y} + \pi^{FUEL}_{y})\times \Theta_{y,t} + \sum_{y \in \mathcal{G} } \sum_{t \in \mathcal{T}}\omega_{t}\times(\pi^{VOM}_{y})\times \Theta_{y,t} \end{aligned} ``` """ @@ -27,7 +27,7 @@ function discharge!(EP::Model, inputs::Dict, setup::Dict) ## Objective Function Expressions ## - # Variable costs of "generation" for resource "y" during hour "t" = variable O&M, the fuel costs will be determined in fuel.jl + # Variable costs of "generation" for resource "y" during hour "t" = variable O&M @expression(EP, eCVar_out[y=1:G,t=1:T], (inputs["omega"][t]*(dfGen[y,:Var_OM_Cost_per_MWh]*vP[y,t]))) # Sum individual resource contributions to variable discharging costs to get total variable discharging costs @expression(EP, eTotalCVarOutT[t=1:T], sum(eCVar_out[y,t] for y in 1:G)) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 080a9844ce..c6a3e2b710 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -5,11 +5,15 @@ fuel!(EP::Model, inputs::Dict, setup::Dict) This function creates expression to account for total fuel consumption (e.g., coal, natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel consumption in part load (if data is available) ***** Expressions ****** +Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and (2). use the "PiecewiseFuelUsage" options to model the fuel consumption via piecewise linear approximation. By using that option, users could represent higher heat rate when generators are running at minimum load, and lower heatrate when generators are running at maximum load. + +(1). Constant heat rate. The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation ($vP_{y,t}$) mutiplied by the corresponding heat rate ($Hear\_Rate_y$). The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) +(2). Piecewise linear approximation From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of minimum load or full load. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. ```math @@ -18,13 +22,11 @@ vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} \hspace{1cm} \forall y \in G, \forall t \in T, \forall x \in X \end{aligned} ``` -Where $h_{y,x}$ represents incremental heat rate of a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept of fuel consumption of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. We include at most three segments to represent the piecewise heat consumption. - -Since fuel consumption has a positive value, the optimization will optimize the fuel consumption by enforcing the inequity to equal to the highest piecewise segment. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. +Where $h_{y,x}$ represents slope a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept (MMBTU) of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. In "Generators_data.csv", users need to specify the number of segments in a column called NUM_SEGMENTS, then provide corresponding Slopei and Intercepti based on the NUM_SEGMENTS (i = NUM_SEGMENTS). -In order to run piecewise fuel consumption module, the unit commitment must be turned on, and users should provide Incremental_Heat_Rate_Segmenti and Intercept_Fuel_Consumption_Segmenti for at least one segment. +Since fuel consumption (and fuel costs) is postive, the optimization will optimize the fuel consumption by enforcing the inequity to equal to the highest piecewise segment. Only one segment is active at a time for any value of vP. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. -If users only want to model piecewise heat rate for some of thermal generators, then set the Incremental_Heat_Rate_Segment1 for thoese plants to be the same as conventional heat rate, and then set Incremental_Heat_Rate_Segment2/3 and Intercept_Fuel_Consumption_Segment1/2/3 to be zero. +In order to run piecewise fuel consumption module, the unit commitment must be turned on, and users should provide Slope and Intercept for at least one segment. """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -36,6 +38,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) THERM_COMMIT = inputs["THERM_COMMIT"] FUEL = length(inputs["fuels"]) ALLGEN = collect(1:G) + # create variable for fuel consumption for output @variable(EP, vFuel[y in 1:G, t = 1:T] >= 0) @@ -52,9 +55,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) # fuel_cost is in $/MMBTU (M$/billion BTU if scaled) # vFuel and eStartFuel is MMBTU (or billion BTU if scaled) - # Therefore eCFuel_start or eCFuel_out is $ or Million$) - # Separately track the start up fuel and fuel consumption for power generation - + # eCFuel_start or eCFuel_out is $ or Million$ # Start up fuel cost @expression(EP, eCFuelStart[y = 1:G, t = 1:T], (inputs["fuel_costs"][dfGen[y,:Fuel]][t] * EP[:eStartFuel][y, t])) @@ -96,17 +97,17 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) @constraint(EP, FuelCalculation[y in setdiff(ALLGEN, THERM_COMMIT), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) if !isempty(THERM_COMMIT) - if setup["PiecewiseHeatRate"] == 1 - # Piecewise heat rate UC - @constraint(EP, First_segment[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, :Incremental_Heat_Rate_Segment1] + - EP[:vCOMMIT][y, t] * dfGen[y, :Intercept_Fuel_Consumption_Segment1])) - @constraint(EP, Second_segment[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, :Incremental_Heat_Rate_Segment2] + - EP[:vCOMMIT][y, t] * dfGen[y, :Intercept_Fuel_Consumption_Segment2])) - @constraint(EP, Third_segment[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, :Incremental_Heat_Rate_Segment3] + - EP[:vCOMMIT][y, t] * dfGen[!, :Intercept_Fuel_Consumption_Segment3][y])) + if setup["PiecewiseFuelUsage"] == 1 + # Only apply piecewise fuel consumption to thermal generators with NUM_SEGMENTS > 0 + THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] + for i in 1:inputs["MAX_NUM_SEGMENTS"] + @constraint(EP, [y in THERM_COMMIT_PWFU, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, inputs["slope_cols"]][i] + + EP[:vCOMMIT][y, t] * dfGen[y, inputs["intercept_cols"] ][i])) + end + @constraint(EP, [y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], + EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) + else @constraint(EP, FuelCalculationCommit[y in THERM_COMMIT, t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) diff --git a/src/model/generate_model.jl b/src/model/generate_model.jl index 876c46d8da..2577313df3 100644 --- a/src/model/generate_model.jl +++ b/src/model/generate_model.jl @@ -125,9 +125,9 @@ function generate_model(setup::Dict,inputs::Dict,OPTIMIZER::MOI.OptimizerWithAtt end fuel!(EP, inputs, setup) - - # remove emissions as they will be accounted in co2.jl - #emissions!(EP, inputs) + + co2!(EP, inputs) + if setup["Reserves"] > 0 reserves!(EP, inputs, setup) @@ -188,7 +188,7 @@ function generate_model(setup::Dict,inputs::Dict,OPTIMIZER::MOI.OptimizerWithAtt end # Policies - co2!(EP, inputs) + # CO2 emissions limits if setup["CO2Cap"] > 0 co2_cap!(EP, inputs, setup) From 5e9b2741b54a1cb3f4d776f974f277e838d48e50 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 30 Aug 2023 10:39:03 -0400 Subject: [PATCH 14/33] Revise based on Jacob and Gabe's comments v2 1. Add required col names to data_documentation.md 2. Fixed some typos. Improve the documentation. 3. Change the cols names for parameters in piecewise fuel usage module, now all the col names associated with piecewise fuel usage are started with "PWFU" 4. Only apply fuel constraint to generators with valid fuels ( fuel type = "None" are excluded) 5. Combine Startfuel cost and StartCost 6. break down write_fuel_consumption into 3 functions. Only write plant-level fuel costs and consumption for generators with fuel types other than "None" 7. fixed an error in write_net_revenue --- docs/src/data_documentation.md | 13 ++++ src/load_inputs/load_generators_data.jl | 47 ++++++----- src/model/core/co2.jl | 72 ++++++++++------- src/model/core/fuel.jl | 86 ++++++++++++++------- src/model/policies/co2_cap.jl | 2 +- src/write_outputs/write_co2.jl | 2 +- src/write_outputs/write_costs.jl | 37 ++++----- src/write_outputs/write_fuel_consumption.jl | 53 ++++++++----- src/write_outputs/write_net_revenue.jl | 4 +- src/write_outputs/write_outputs.jl | 2 +- 10 files changed, 191 insertions(+), 127 deletions(-) diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index e50050351a..07abba5172 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -311,6 +311,9 @@ This file contains cost and performance parameters for various generators and ot |VRE_STOR | {0, 1}, Flag to indicate membership in set of co-located variable renewable energy resources (onshore wind and utility-scale solar PV) and storage resources (either short- or long-duration energy storage with symmetric or asymmetric charging or discharging capabilities).| ||VRE_STOR = 0: Not part of set (default) | ||VRE_STOR = 1: Co-located VRE and storage (VRE-STOR) resources. | +|BIOMASS | {0, 1}, Flag to indicate if generator use biomass as feedstock (optional input column).| +||BIOMASS = 0: Not part of set (default) | +||BIOMASS = 1: Use biomass as fuel.| |**Existing technology capacity**| |Existing\_Cap\_MW |The existing capacity of a power plant in MW. Note that for co-located VRE-STOR resources, this capacity represents the existing AC grid connection capacity in MW. | |Existing\_Cap\_MWh |The existing capacity of storage in MWh where `STOR = 1` or `STOR = 2`. Note that for co-located VRE-STOR resources, this capacity represents the existing capacity of storage in MWh. | @@ -331,6 +334,7 @@ This file contains cost and performance parameters for various generators and ot |Fixed\_OM\_Cost\_Charge\_per\_MWyr | Fixed operations and maintenance cost of the charging component of a storage technology of type `STOR = 2`. | |Var\_OM\_Cost\_per\_MWh | Variable operations and maintenance cost of a technology ($/MWh). Note that for co-located VRE-STOR resources, these costs apply to the AC generation sent to the grid from the entire site. | |Var\_OM\_Cost\_per\_MWhIn | Variable operations and maintenance cost of the charging aspect of a storage technology with `STOR = 2`, or variable operations and maintenance costs associated with flexible demand deferral with `FLEX = 1`. Otherwise 0 ($/MWh). Note that for co-located VRE-STOR resources, these costs must be 0 (specific variable operations and maintenance costs exist in VRE-STOR dataframe). | +|CCS\_Disposal\_Cost\_per\_Metric_Ton | Cost associated with CCS disposal ($/tCO2), including pipeline, injection and storage costs of CCS-equipped generators| |**Technical performance parameters**| |Heat\_Rate\_MMBTU\_per\_MWh |Heat rate of a generator or MMBtu of fuel consumed per MWh of electricity generated for export (net of on-site consumption). The heat rate is the inverse of the efficiency: a lower heat rate is better. Should be consistent with fuel prices in terms of reporting on higher heating value (HHV) or lower heating value (LHV) basis. | |Fuel |Fuel needed for a generator. The names should match with the ones in the `Fuels_data.csv`. | @@ -346,6 +350,8 @@ This file contains cost and performance parameters for various generators and ot |Max\_Flexible\_Demand\_Delay |Maximum number of hours that demand can be deferred or delayed. Applies to resources with FLEX type 1 (hours). | |Max\_Flexible\_Demand\_Advance |Maximum number of hours that demand can be scheduled in advance of the original schedule. Applies to resources with FLEX type 1 (hours). | |Flexible\_Demand\_Energy\_Eff |[0,1], Energy efficiency associated with time shifting demand. Represents energy losses due to time shifting (or 'snap back' effect of higher consumption due to delay in use) that may apply to some forms of flexible demand. Applies to resources with FLEX type 1 (hours). For example, one may need to pre-cool a building more than normal to advance demand. | +|CO2\_Capture\_Rate |[0,1], The CO2 capture rate of CCS equiped power plants at a steady state, this value should be 0 for generators without CCS | +|CO2\_Capture\_Rate\_Startup |[0,1], The CO2 capture rate of CCS equiped power plants at during the startup events, this value should be 0 for generators without CCS | |**Required for writing outputs**| |region | Name of the model region| |cluster | Number of the cluster when representing multiple clusters of a given technology in a given region. | @@ -389,6 +395,13 @@ This file contains cost and performance parameters for various generators and ot |Electrolyzer_Min_kt| Minimum annual quantity of hydrogen that must be produced by electrolyzer in kilotonnes (kt)| |Hydrogen_Price_Per_Tonne| Price (or value) of hydrogen per metric tonne ($/t)| |Qualified_Hydrogen_Supply| {0,1}, Indicates that generator or storage resources is eligible to supply electrolyzers in the same zone (used for hourly clean supply constraint)| +|**PiecewiseFuelUsage > 0**| +|PWFU\_NUM\_SEGMENTS| The number of segements to construct piecewise linear fuel usage approximation| +|PWFU\_Slope\_*i| The slope (MMBTU/MWh) of i the segement for the piecewise linear fuel usage approximation| +|PWFU\_Intercept\_*i| The intercept (MMBTU) of of i the segement for the piecewise linear fuel usage approximation| + + + ### 2.2 Optional inputs files diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index f820c2b788..8c83834ba4 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -202,30 +202,23 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di # write zeros if col names are not in the gen_in dataframe - missing_cols = ["Biomass", "CO2_Capture_Rate", "CO2_Capture_Rate_Startup", "CO2_Capture_Cost_per_Metric_Ton"] - write_zeros_if_not_exist!(gen_in, missing_cols) + missing_cols_for_co2 = ["BIOMASS", "CO2_Capture_Rate", "CO2_Capture_Rate_Startup", "CCS_Disposal_Cost_per_Metric_Ton"] + for col in missing_cols_for_co2 + ensure_column!(gen_in, col, 0) + end + + # Scale CCS_Disposal_Cost_per_Metric_Ton for CCS units + gen_in.CCS_Disposal_Cost_per_Metric_Ton /= scale_factor - # Scale CO2_Capture_Cost_per_Metric_Ton for CCS units - gen_in.CO2_Capture_Cost_per_Metric_Ton /= scale_factor + # get R_ID when fuel is not None + inputs_gen["FUEL"] = gen_in[(gen_in[!,:Fuel] .!= "None"),:R_ID] # Piecewise fuel usage module # Users should specify how many segements are used to build piecewise fuel comsumption. # Users should at least provide Slope1 and Intercept1 if they want to use piecewise fuel usage if setup["UCommit"] > 0 if setup["PiecewiseFuelUsage"] == 1 - num_segments = maximum(gen_in[!,:NUM_SEGMENTS]) - inputs_gen["MAX_NUM_SEGMENTS"] = num_segments - # thermal generators (commit) that have NUM_SEGMENTS >= 1 are able to use piecewise fuel usage optional - inputs_gen["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.NUM_SEGMENTS .> 0,:R_ID]) - # create col names based on maximum num of segments - slope_cols = [ Symbol(string("Slope", i)) for i in 1:num_segments] - intercept_cols = [ Symbol(string("Intercept", i)) for i in 1:num_segments] - # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). - for i in 1:num_segments - gen_in[!, intercept_cols[i]] /= scale_factor - end - inputs_gen["slope_cols"] = slope_cols - inputs_gen["intercept_cols"] = intercept_cols + process_piecewisefuelusage!(inputs_gen, gen_in, scale_factor) end end @@ -512,12 +505,18 @@ function load_vre_stor_data!(inputs_gen::Dict, setup::Dict, path::AbstractString end -function write_zeros_if_not_exist!(dfGen::DataFrame, col_names:: Vector{String}) - for col_name in col_names - if !(col_name in names(dfGen)) - dfGen[!, col_name] = zeros(Int, nrow(dfGen)) - end +function process_piecewisefuelusage!(inputs_gen::Dict,gen_in::DataFrame, scale_factor) + pwfu_num_segments = maximum(gen_in[!,:PWFU_NUM_SEGMENTS]) + inputs_gen["PWFU_MAX_NUM_SEGMENTS"] = pwfu_num_segments + # thermal generators (commit) that have PWFU_NUM_SEGMENTS >= 1 are able to use piecewise fuel usage optional + inputs_gen["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) + # create col names based on maximum num of segments + slope_cols = [ Symbol(string("Slope_", i)) for i in 1:pwfu_num_segments] + intercept_cols = [ Symbol(string("Intercept_", i)) for i in 1:pwfu_num_segments] + # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). + for i in 1:pwfu_num_segments + gen_in[!, intercept_cols[i]] /= scale_factor end - return dfGen + inputs_gen["slope_cols"] = slope_cols + inputs_gen["intercept_cols"] = intercept_cols end - diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index c7cb71ba48..f3dc1ceb96 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -1,31 +1,45 @@ @doc raw""" + co2!(EP::Model, inputs::Dict) -co2!(EP::Model, inputs::Dict) - -This function creates expression to account for CO2 emissions and captured and sequestrated CO2 from thermal generators. It also has the capability to model the negative CO2 emissions from bioenergy with carbon capture and storage. This module will displace the emissions module. +This function creates expression to account for CO2 emissions and captured and sequestrated +CO2 from thermal generators. It also has the capability to model the negative CO2 emissions +from bioenergy with carbon capture and storage. ***** Expressions ***** -For thermal generators use fuels that contain CO2 content (e.g., coal, natural gas, and biomass), the CO2 emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock is biomass. - -Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be carbon-neutral because the carbon in the biomass is originated from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. - -If users want to represet delicated biomass, then in Generators_data.csv, it requires a column name called "Biomass" (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not. The CO2 emissions from a generator should be zero without CCS and negative with CCS. - -The CO2 emissions from the generator $y$ at time $t$ (commited), is determined by total fuel consumption (MMBTU) multiplied by the CO2 content of the fuel (t CO2/MMBTU), then times (1 - Biomass [0 or 1] - CO2 capture rate [a fraction, between 0 - 1]). The CO2 capture rate during the steady-state and startup event could be differernt (generally startup events have lower CO2 capture rates), so we use separated CO2 capture rates to determine the emissions. - -In short, the CO2 emissions depend on total CO2 content from fuel consumption, the CO2 capture rate, and whether the generators use biomass. +For thermal generators use fuels that contain CO2 content (e.g., coal, natural gas, and biomass), +the CO2 emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock +is biomass. +Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be +carbon-neutral because the carbon in the biomass is originated from the atmosphere. +When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. +If users want to represet delicated biomass, then in Generators_data.csv, it requires a column +name called "BIOMASS" (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not. +The CO2 emissions from a generator should be zero without CCS and negative with CCS. +The CO2 emissions from the generator $y$ at time $t$ (commited), is determined by total fuel +consumption (MMBTU) multiplied by the CO2 content of the fuel (t CO2/MMBTU), +then times (1 - BIOMASS [0 or 1] - CO2 capture rate [a fraction, between 0 - 1]). +The CO2 capture rate during the steady-state and startup event could be differernt +(generally startup events have lower CO2 capture rates), so we use separated CO2 capture rates +to determine the emissions. +In short, the CO2 emissions depend on total CO2 content from fuel consumption, +the CO2 capture rate, and whether the generators use biomass. ```math \begin{aligned} -eEmissionsByPlant_{g,t} = (1-Biomass_y- CO2\_Capture\_Rate_y) * vFuel_{y,t} * CO2_{content} + (1-Biomass_y- CO2\_Capture\_Rate\_Startup_y) * eStartFuel_{y,t} * CO2_{content} +eEmissionsByPlant_{g,t} = (1-BIOMASS_y- CO2\_Capture\_Rate_y) * vFuel_{y,t} * CO2_{content} + (1-BIOMASS_y- CO2\_Capture\_Rate\_Startup_y) * eStartFuel_{y,t} * CO2_{content} \hspace{1cm} \forall y \in G, \forall t \in T, Biomass_y \in {{0,1}} \end{aligned} ``` -Where $Biomass_y$ represents a binary variable that determines if the generator $y$ uses biomass (Biomass = 1) or not (Biomass = 0), $CO2\_Capture\_Rate_y$ represents a fraction (between 0 - 1) for CO2 capture rate. - -In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by total fuel consumption (MMBTU) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), then times CO2 capture rate. +Where $Biomass_y$ represents a binary variable that determines if the generator $y$ +uses biomass (BIOMASS = 1) or not (BIOMASS = 0), $CO2\_Capture\_Rate_y$ represents a +fraction (between 0 - 1) for CO2 capture rate. +In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also +determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the +generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by +total fuel consumption (MMBTU) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), +then times CO2 capture rate. ```math \begin{aligned} @@ -34,35 +48,35 @@ eEmissionsCaptureByPlant_{g,t} = CO2\_Capture\_Rate_y * vFuel_{y,t} * CO2_{cont \end{aligned} ``` - - """ function co2!(EP::Model, inputs::Dict) - println("C02 Module") + println("CO2 Module") dfGen = inputs["dfGen"] G = inputs["G"] # Number of resources (generators, storage, DR, and DERs) T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones - + fuel_CO2 = inputs["fuel_CO2"] # CO2 content of fuel (t CO2/MMBTU or ktCO2/Billion BTU) + FUEL = inputs["FUEL"] ### Expressions ### # CO2 emissions from power plants in "Generators_data.csv" # if all the CO2 capture rates from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU - if all(x -> x == 0, dfGen.CO2_Capture_Rate) + if all(dfGen.CO2_Capture_Rate .==0) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((1-dfGen[y, :Biomass]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * inputs["fuel_CO2"][dfGen[y,:Fuel]])) + ((1-dfGen[y, :BIOMASS]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * fuel_CO2[dfGen[y,:Fuel]])) else + @info "Using the CO2 module to determine the CO2 emissions of CCS-equipped plants" # The CO2_Capture_Rate refers to the CO2 capture rate of CCS equiped power plants at a steady state # The CO2_Capture_Rate_Startup refers to the CO2 capture rate of CCS equiped power plants during the startup event @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Rate]) * EP[:vFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]+ - (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Rate_Startup]) * EP[:eStartFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]) + (1-dfGen[y, :BIOMASS] - dfGen[y, :CO2_Capture_Rate]) * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ + (1-dfGen[y, :BIOMASS] - dfGen[y, :CO2_Capture_Rate_Startup]) * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) # CO2 captured from power plants in "Generators_data.csv" @expression(EP, eEmissionsCaptureByPlant[y=1:G, t=1:T], - dfGen[y, :CO2_Capture_Rate] * EP[:vFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]+ - dfGen[y, :CO2_Capture_Rate_Startup] * EP[:eStartFuel][y, t] * inputs["fuel_CO2"][dfGen[y,:Fuel]]) + dfGen[y, :CO2_Capture_Rate] * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ + dfGen[y, :CO2_Capture_Rate_Startup] * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) #************************************* @@ -71,17 +85,17 @@ function co2!(EP::Model, inputs::Dict) for t in 1:T)) @expression(EP, eEmissionsCaptureByZone[z=1:Z, t=1:T], sum(eEmissionsCaptureByPlant[y, t] - for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) + for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) @expression(EP, eEmissionsCaptureByZoneYear[z=1:Z], sum(eEmissionsCaptureByPlantYear[y] - for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) + for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) #************************************* # add CO2 sequestration cost to objective function # when scale factor is on tCO2/MWh = > kt CO2/GWh @expression(EP, ePlantCCO2Sequestration[y=1:G], sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] * - dfGen[y, :CO2_Capture_Cost_per_Metric_Ton] for t in 1:T)) + dfGen[y, :CCS_Disposal_Cost_per_Metric_Ton] for t in 1:T)) @expression(EP, eZonalCCO2Sequestration[z=1:Z], sum(ePlantCCO2Sequestration[y] diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index c6a3e2b710..640c7ce4ad 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -1,20 +1,33 @@ @doc raw""" -fuel!(EP::Model, inputs::Dict, setup::Dict) + fuel!(EP::Model, inputs::Dict, setup::Dict) -This function creates expression to account for total fuel consumption (e.g., coal, natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel consumption in part load (if data is available) +This function creates expression to account for total fuel consumption (e.g., coal, +natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel +consumption in part load (if data is available) ***** Expressions ****** -Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and (2). use the "PiecewiseFuelUsage" options to model the fuel consumption via piecewise linear approximation. By using that option, users could represent higher heat rate when generators are running at minimum load, and lower heatrate when generators are running at maximum load. +Users have two options to model the fuel consumption as a function of power generation: +(1). Use a constant heat rate, regardless of the minimum load or maximum load; and +(2). use the "PiecewiseFuelUsage" options to model the fuel consumption via piecewise linear +approximation. +By using that option, users could represent higher heat rate when generators are running at +minimum load, and lower heatrate when generators are running at maximum load. (1). Constant heat rate. - -The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation ($vP_{y,t}$) mutiplied by the corresponding heat rate ($Hear\_Rate_y$). - -The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) - +The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation +($vP_{y,t}$) mutiplied by the corresponding heat rate ($Heat\_Rate_y$). +The fuel costs for power generation and start fuel for a plant $y$ at time $t$, +denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ +and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) (2). Piecewise linear approximation -From above formulations, thermal generators are expected to have the same fuel consumption per generating 1 MWh electricity, regardless of minimum load or full load. However, thermal generators tend to have decreased efficiency when operating at part load, leading to higher fuel consumption per generating the same amount of electricity. To have more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. +In the first formulations, thermal generators are expected to have the same fuel consumption +per generating 1 MWh electricity, +regardless of minimum load or full load. However, thermal generators tend to have decreased +efficiency when operating at part load, leading to higher fuel consumption per generating +the same amount of electricity. +To have more precise representation of fuel consumption at part load, +the piecewise-linear fitting of heat input can be introduced. ```math \begin{aligned} @@ -22,11 +35,22 @@ vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} \hspace{1cm} \forall y \in G, \forall t \in T, \forall x \in X \end{aligned} ``` -Where $h_{y,x}$ represents slope a thermal generator $y$ in segment $x$ [MMBTU/MWh] and $f_{y,x}$ represents intercept (MMBTU) of a thermal generator $y$ in segment $x$ [MMBUT], and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. In "Generators_data.csv", users need to specify the number of segments in a column called NUM_SEGMENTS, then provide corresponding Slopei and Intercepti based on the NUM_SEGMENTS (i = NUM_SEGMENTS). - -Since fuel consumption (and fuel costs) is postive, the optimization will optimize the fuel consumption by enforcing the inequity to equal to the highest piecewise segment. Only one segment is active at a time for any value of vP. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. - -In order to run piecewise fuel consumption module, the unit commitment must be turned on, and users should provide Slope and Intercept for at least one segment. +Where $h_{y,x}$ represents slope a thermal generator $y$ in segment $x$ [MMBTU/MWh], +and $f_{y,x}$ represents intercept (MMBTU) of a thermal generator $y$ in segment $x$ [MMBUT], +and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. +In "Generators_data.csv", users need to specify the number of segments in a column called +PWFU_NUM_SEGMENTS, then provide corresponding Slopei and Intercepti based on the PWFU_NUM_SEGMENTS +(i = PWFU_NUM_SEGMENTS). + +Since fuel consumption (and fuel costs) is postive, +the optimization will optimize the fuel consumption by enforcing the inequity to equal to +the highest piecewise segment.Only one segment is active at a time for any value of vP. +When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept +to be zero such that the fuel consumption is zero when thermal units are offline. + +In order to run piecewise fuel consumption module, +the unit commitment must be turned on, and users should provide Slope and +Intercept for at least one segment. """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -34,10 +58,12 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) dfGen = inputs["dfGen"] T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones - G = inputs["G"] + G = inputs["G"] + FUEL = inputs["FUEL"] THERM_COMMIT = inputs["THERM_COMMIT"] - FUEL = length(inputs["fuels"]) - ALLGEN = collect(1:G) + # exclude the "None" from fuels + fuels = inputs["fuels"] + NUM_FUEL = length(fuels) # create variable for fuel consumption for output @variable(EP, vFuel[y in 1:G, t = 1:T] >= 0) @@ -50,7 +76,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) (dfGen[y,:Cap_Size] * EP[:vSTART][y, t] * dfGen[y,:Start_Fuel_MMBTU_per_MW]) else - EP[:vZERO] + 0 end) # fuel_cost is in $/MMBTU (M$/billion BTU if scaled) @@ -85,25 +111,27 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) add_to_expression!(EP[:eObj], EP[:eTotalCFuelOut] + EP[:eTotalCFuelStart]) #fuel consumption (MMBTU or Billion BTU) - @expression(EP, eFuelConsumption[f in 1:FUEL, t in 1:T], + @expression(EP, eFuelConsumption[f in 1:NUM_FUEL, t in 1:T], sum(EP[:vFuel][y, t] + EP[:eStartFuel][y,t] - for y in dfGen[dfGen[!,:Fuel] .== string(inputs["fuels"][f]) ,:R_ID])) + for y in resources_with_fuel(dfGen, fuels[f]))) - @expression(EP, eFuelConsumptionYear[f in 1:FUEL], + @expression(EP, eFuelConsumptionYear[f in 1:NUM_FUEL], sum(inputs["omega"][t] * EP[:eFuelConsumption][f, t] for t in 1:T)) ### Constraint ### - @constraint(EP, FuelCalculation[y in setdiff(ALLGEN, THERM_COMMIT), t = 1:T], + ### only apply constraint to generators with fuel type other than None + @constraint(EP, FuelCalculation[y in setdiff(FUEL, THERM_COMMIT), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) + if !isempty(THERM_COMMIT) if setup["PiecewiseFuelUsage"] == 1 - # Only apply piecewise fuel consumption to thermal generators with NUM_SEGMENTS > 0 + # Only apply piecewise fuel consumption to thermal generators with PWFU_NUM_SEGMENTS > 0 THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] - for i in 1:inputs["MAX_NUM_SEGMENTS"] + for segment in 1:inputs["PWFU_MAX_NUM_SEGMENTS"] @constraint(EP, [y in THERM_COMMIT_PWFU, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, inputs["slope_cols"]][i] + - EP[:vCOMMIT][y, t] * dfGen[y, inputs["intercept_cols"] ][i])) + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, inputs["slope_cols"]][segment] + + EP[:vCOMMIT][y, t] * dfGen[y, inputs["intercept_cols"]][segment])) end @constraint(EP, [y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) @@ -116,3 +144,9 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) return EP end + + +function resources_with_fuel(df::DataFrame, fuel::AbstractString) + return df[df[!, :Fuel] .== fuel, :R_ID] +end + diff --git a/src/model/policies/co2_cap.jl b/src/model/policies/co2_cap.jl index 5238342e17..c8903ae028 100644 --- a/src/model/policies/co2_cap.jl +++ b/src/model/policies/co2_cap.jl @@ -67,7 +67,7 @@ Note that the generator-side rate-based constraint can be used to represent a fe """ function co2_cap!(EP::Model, inputs::Dict, setup::Dict) - println("C02 Policies Module") + println("CO2 Policies Module") dfGen = inputs["dfGen"] SEG = inputs["SEG"] # Number of lines diff --git a/src/write_outputs/write_co2.jl b/src/write_outputs/write_co2.jl index 502e32a373..6f7308d61b 100644 --- a/src/write_outputs/write_co2.jl +++ b/src/write_outputs/write_co2.jl @@ -28,7 +28,7 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) CSV.write(joinpath(path, "emissions_plant.csv"), dftranspose(dfEmissions_plant, false), writeheader=false) dfCapturedEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) - if any(x -> x != 0, dfGen.CO2_Capture_Rate) + if any(dfGen.CO2_Capture_Rate .!= 0) # Captured CO2 emissions by plant emissions_captured_plant = zeros(G, T) emissions_captured_plant = (value.(EP[:eEmissionsCaptureByPlant])) diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index 9ec9c86999..d0dea60265 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -12,7 +12,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) VRE_STOR = inputs["VRE_STOR"] ELECTROLYZER = inputs["ELECTROLYZER"] - cost_list = ["cTotal", "cFix", "cVar", "cFuel" ,"cNSE", "cStart", "cStartFuel", "cUnmetRsv", "cNetworkExp", "cUnmetPolicyPenalty", "cCO2"] + cost_list = ["cTotal", "cFix", "cVar", "cFuel" ,"cNSE", "cStart", "cUnmetRsv", "cNetworkExp", "cUnmetPolicyPenalty", "cCO2"] if !isempty(VRE_STOR) push!(cost_list, "cGridConnection") end @@ -33,9 +33,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) cFix += ((!isempty(inputs["VS_STOR"]) ? value(EP[:eTotalCFixStor]) : 0.0) + (!isempty(inputs["VS_ASYM_DC_CHARGE"]) ? value(EP[:eTotalCFixCharge_DC]) : 0.0) + (!isempty(inputs["VS_ASYM_DC_DISCHARGE"]) ? value(EP[:eTotalCFixDischarge_DC]) : 0.0) + (!isempty(inputs["VS_ASYM_AC_CHARGE"]) ? value(EP[:eTotalCFixCharge_AC]) : 0.0) + (!isempty(inputs["VS_ASYM_AC_DISCHARGE"]) ? value(EP[:eTotalCFixDischarge_AC]) : 0.0)) cVar += (!isempty(inputs["VS_STOR"]) ? value(EP[:eTotalCVarStor]) : 0.0) end - total_cost =[objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] + total_cost =[objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] else - total_cost = [objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] + total_cost = [objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] end if !isempty(ELECTROLYZER) @@ -49,40 +49,39 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) end if setup["UCommit"]>=1 - dfCost[6,2] = value(EP[:eTotalCStart]) - dfCost[7,2] = value(EP[:eTotalCFuelStart]) + dfCost[6,2] = value(EP[:eTotalCStart]) + value(EP[:eTotalCFuelStart]) end if setup["Reserves"]==1 - dfCost[8,2] = value(EP[:eTotalCRsvPen]) + dfCost[7,2] = value(EP[:eTotalCRsvPen]) end if setup["NetworkExpansion"] == 1 && Z > 1 - dfCost[9,2] = value(EP[:eTotalCNetworkExp]) + dfCost[8,2] = value(EP[:eTotalCNetworkExp]) end if haskey(inputs, "dfCapRes_slack") - dfCost[10,2] += value(EP[:eCTotalCapResSlack]) + dfCost[9,2] += value(EP[:eCTotalCapResSlack]) end if haskey(inputs, "dfESR_slack") - dfCost[10,2] += value(EP[:eCTotalESRSlack]) + dfCost[9,2] += value(EP[:eCTotalESRSlack]) end if haskey(inputs, "dfCO2Cap_slack") - dfCost[10,2] += value(EP[:eCTotalCO2CapSlack]) + dfCost[9,2] += value(EP[:eCTotalCO2CapSlack]) end if haskey(inputs, "MinCapPriceCap") - dfCost[10,2] += value(EP[:eTotalCMinCapSlack]) + dfCost[9,2] += value(EP[:eTotalCMinCapSlack]) end if !isempty(VRE_STOR) - dfCost[!,2][9] = value(EP[:eTotalCGrid]) * (setup["ParameterScale"] == 1 ? ModelScalingFactor^2 : 1) + dfCost[!,2][8] = value(EP[:eTotalCGrid]) * (setup["ParameterScale"] == 1 ? ModelScalingFactor^2 : 1) end if any(x -> x != 0, dfGen.CO2_Capture_Rate) - dfCost[11,2] += value(EP[:eTotaleCCO2Sequestration]) + dfCost[10,2] += value(EP[:eTotaleCCO2Sequestration]) end if setup["ParameterScale"] == 1 @@ -91,7 +90,6 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) dfCost[8,2] *= ModelScalingFactor^2 dfCost[9,2] *= ModelScalingFactor^2 dfCost[10,2] *= ModelScalingFactor^2 - dfCost[11,2] *= ModelScalingFactor^2 end for z in 1:Z @@ -100,7 +98,6 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCVar = 0.0 tempCFuel = 0.0 tempCStart = 0.0 - tempCStartFuel = 0.0 tempCNSE = 0.0 tempHydrogenValue = 0.0 tempCCO2 = 0.0 @@ -207,12 +204,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) end if setup["UCommit"] >= 1 && !isempty(COMMIT_ZONE) - eCStart = sum(value.(EP[:eCStart][COMMIT_ZONE,:])) - eCStartFuel = sum(value.(EP[:ePlantCFuelStart][COMMIT_ZONE,:])) + eCStart = sum(value.(EP[:eCStart][COMMIT_ZONE,:])) + sum(value.(EP[:ePlantCFuelStart][COMMIT_ZONE,:])) tempCStart += eCStart - tempCStartFuel += eCStartFuel tempCTotal += eCStart - tempCTotal += eCStartFuel end if !isempty(ELECTROLYZERS_ZONE) @@ -224,7 +218,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCNSE = sum(value.(EP[:eCNSE][:,:,z])) tempCTotal += tempCNSE - if any(x -> x != 0, dfGen.CO2_Capture_Rate) + if any(dfGen.CO2_Capture_Rate .!=0) tempCCO2 = sum(value.(EP[:ePlantCCO2Sequestration][Y_ZONE,:])) tempCTotal += tempCCO2 end @@ -237,10 +231,9 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCNSE *= ModelScalingFactor^2 tempCStart *= ModelScalingFactor^2 tempHydrogenValue *= ModelScalingFactor^2 - tempCStartFuel *= ModelScalingFactor^2 tempCCO2 *= ModelScalingFactor^2 end - temp_cost_list = [tempCTotal, tempCFix, tempCVar, tempCFuel,tempCNSE, tempCStart,tempCStartFuel, "-", "-", "-", tempCCO2] + temp_cost_list = [tempCTotal, tempCFix, tempCVar, tempCFuel,tempCNSE, tempCStart, "-", "-", "-", tempCCO2] if !isempty(VRE_STOR) push!(temp_cost_list, "-") end diff --git a/src/write_outputs/write_fuel_consumption.jl b/src/write_outputs/write_fuel_consumption.jl index e27159d1c7..7147a25d15 100644 --- a/src/write_outputs/write_fuel_consumption.jl +++ b/src/write_outputs/write_fuel_consumption.jl @@ -1,39 +1,51 @@ @doc raw""" - write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) - write fuel consumption of each power plant. + write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, EP::Model). +Write fuel consumption of each power plant. """ function write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + + write_fuel_consumption_plant(path::AbstractString,inputs::Dict, setup::Dict, EP::Model) + write_fuel_consumption_ts(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + write_fuel_consumption_tot(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) +end + +function write_fuel_consumption_plant(path::AbstractString,inputs::Dict, setup::Dict, EP::Model) dfGen = inputs["dfGen"] G = inputs["G"] - T = inputs["T"] # Number of time steps (hours) - + FUEL = inputs["FUEL"] + # Fuel consumption cost by each resource, including start up fuel + dfPlantFuel = DataFrame(Resource = inputs["RESOURCES"][FUEL], + Fuel = dfGen[!, :Fuel][FUEL], + Zone = dfGen[!,:Zone][FUEL], + AnnualSum = zeros(length(FUEL))) + tempannualsum = value.(EP[:ePlantCFuelOut][FUEL]) + value.(EP[:ePlantCFuelStart][FUEL]) - # Fuel consumption by each resource - dfPlantFuel = DataFrame(Resource = inputs["RESOURCES"], - Fuel = dfGen[!, :Fuel], - Zone = dfGen[!,:Zone], - AnnualSum = zeros(G)) - tempannualsum = value.(EP[:ePlantCFuelOut]) + value.(EP[:ePlantCFuelStart]) if setup["ParameterScale"] == 1 - tempannualsum *= ModelScalingFactor # kMMBTU to MMBTU + tempannualsum *= ModelScalingFactor^2 # end - tempannualsum = round.(tempannualsum, digits = 2) dfPlantFuel.AnnualSum .+= tempannualsum - CSV.write(joinpath(path, "FuelConsumption_plant.csv"), dfPlantFuel) + CSV.write(joinpath(path, "Fuel_cost_plant.csv"), dfPlantFuel) +end + - # Fuel consumption by each resource per time step - dfPlantFuel_TS = DataFrame(Resource = inputs["RESOURCES"]) - tempts = value.(EP[:vFuel] + EP[:eStartFuel]) +function write_fuel_consumption_ts(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + T = inputs["T"] # Number of time steps (hours) + FUEL = inputs["FUEL"] + # Fuel consumption by each resource per time step, unit is MMBTU + dfPlantFuel_TS = DataFrame(Resource = inputs["RESOURCES"][FUEL]) + tempts = value.(EP[:vFuel] + EP[:eStartFuel])[FUEL,:] if setup["ParameterScale"] == 1 tempts *= ModelScalingFactor # kMMBTU to MMBTU end - tempts = round.(tempts, digits = 2) dfPlantFuel_TS = hcat(dfPlantFuel_TS, DataFrame(tempts, [Symbol("t$t") for t in 1:T])) - CSV.write(joinpath(path, "FuelConsumption_plant_ts.csv"), + CSV.write(joinpath(path, "FuelConsumption_plant_MMBTU.csv"), dftranspose(dfPlantFuel_TS, false), writeheader=false) +end + +function write_fuel_consumption_tot(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) # types of fuel fuel_types = inputs["fuels"] fuel_number = length(fuel_types) @@ -41,9 +53,8 @@ function write_fuel_consumption(path::AbstractString, inputs::Dict, setup::Dict, AnnualSum = zeros(fuel_number)) tempannualsum = value.(EP[:eFuelConsumptionYear]) if setup["ParameterScale"] == 1 - tempannualsum *= ModelScalingFactor # kMMBTU to MMBTU + tempannualsum *= ModelScalingFactor # billion MMBTU to MMBTU end - tempannualsum = round.(tempannualsum, digits = 2) dfFuel.AnnualSum .+= tempannualsum - CSV.write(joinpath(path,"FuelConsumption.csv"), dfFuel) + CSV.write(joinpath(path,"FuelConsumption_total_MMBTU.csv"), dfFuel) end diff --git a/src/write_outputs/write_net_revenue.jl b/src/write_outputs/write_net_revenue.jl index 5b9679f447..fa643fd663 100644 --- a/src/write_outputs/write_net_revenue.jl +++ b/src/write_outputs/write_net_revenue.jl @@ -77,7 +77,7 @@ function write_net_revenue(path::AbstractString, inputs::Dict, setup::Dict, EP:: end # Add fuel cost to the dataframe - dfNetRevenue.Fuel_cost .= value.(EP[:eTotalCFuelOut]) + dfNetRevenue.Fuel_cost .= sum(value.(EP[:ePlantCFuelOut]), dims = 2) if setup["ParameterScale"] == 1 dfNetRevenue.Fuel_cost *= ModelScalingFactor^2 # converting Million US$ to US$ end @@ -103,7 +103,7 @@ function write_net_revenue(path::AbstractString, inputs::Dict, setup::Dict, EP:: dfNetRevenue.StartCost = zeros(nrow(dfNetRevenue)) if setup["UCommit"]>=1 && !isempty(COMMIT) # if you don't use vec, dimension won't match - dfNetRevenue.StartCost[COMMIT] .= vec(sum(value.(EP[:eCStart][COMMIT, :]).data, dims = 2)) + dfNetRevenue.StartCost[COMMIT] .= vec(sum(value.(EP[:eCStart][COMMIT, :]).data, dims = 2)) + value.(EP[:ePlantCFuelStart][COMMIT,:]) end if setup["ParameterScale"] == 1 dfNetRevenue.StartCost *= ModelScalingFactor^2 # converting Million US$ to US$ diff --git a/src/write_outputs/write_outputs.jl b/src/write_outputs/write_outputs.jl index 59198a97af..13e7df2f57 100644 --- a/src/write_outputs/write_outputs.jl +++ b/src/write_outputs/write_outputs.jl @@ -133,7 +133,7 @@ function write_outputs(EP::Model, path::AbstractString, setup::Dict, inputs::Dic println(elapsed_time_fuel_consumption) elapsed_time_emissions = @elapsed write_co2(path, inputs, setup, EP) - println("Time elapsed for writing emissions is") + println("Time elapsed for writing co2 is") println(elapsed_time_emissions) # Temporary! Suppress these outputs until we know that they are compatable with multi-stage modeling From d27f70dab8f0caf4cdc36b055ce04157759cc850 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 30 Aug 2023 14:50:58 -0400 Subject: [PATCH 15/33] revise based on Jacob's comments v3 1. change "BIOMASS" back to "Biomass" as this is not a type of generator. 2. fixed a lot of typos, change some of variable names, and normalize the tab 3. put the documentation to the right place. 4. change "CO2_Capture_Rate" to "CO2_Capture_Fraction" 5. break write_co2 into 2 functions --- docs/src/data_documentation.md | 22 ++++----- src/load_inputs/load_generators_data.jl | 31 ++++++------ src/model/core/co2.jl | 55 ++++++++++----------- src/model/core/fuel.jl | 38 +++++++------- src/write_outputs/write_co2.jl | 19 +++++-- src/write_outputs/write_costs.jl | 4 +- src/write_outputs/write_fuel_consumption.jl | 20 ++++---- 7 files changed, 99 insertions(+), 90 deletions(-) diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index 07abba5172..b22f5b8ea8 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -311,9 +311,6 @@ This file contains cost and performance parameters for various generators and ot |VRE_STOR | {0, 1}, Flag to indicate membership in set of co-located variable renewable energy resources (onshore wind and utility-scale solar PV) and storage resources (either short- or long-duration energy storage with symmetric or asymmetric charging or discharging capabilities).| ||VRE_STOR = 0: Not part of set (default) | ||VRE_STOR = 1: Co-located VRE and storage (VRE-STOR) resources. | -|BIOMASS | {0, 1}, Flag to indicate if generator use biomass as feedstock (optional input column).| -||BIOMASS = 0: Not part of set (default) | -||BIOMASS = 1: Use biomass as fuel.| |**Existing technology capacity**| |Existing\_Cap\_MW |The existing capacity of a power plant in MW. Note that for co-located VRE-STOR resources, this capacity represents the existing AC grid connection capacity in MW. | |Existing\_Cap\_MWh |The existing capacity of storage in MWh where `STOR = 1` or `STOR = 2`. Note that for co-located VRE-STOR resources, this capacity represents the existing capacity of storage in MWh. | @@ -334,7 +331,6 @@ This file contains cost and performance parameters for various generators and ot |Fixed\_OM\_Cost\_Charge\_per\_MWyr | Fixed operations and maintenance cost of the charging component of a storage technology of type `STOR = 2`. | |Var\_OM\_Cost\_per\_MWh | Variable operations and maintenance cost of a technology ($/MWh). Note that for co-located VRE-STOR resources, these costs apply to the AC generation sent to the grid from the entire site. | |Var\_OM\_Cost\_per\_MWhIn | Variable operations and maintenance cost of the charging aspect of a storage technology with `STOR = 2`, or variable operations and maintenance costs associated with flexible demand deferral with `FLEX = 1`. Otherwise 0 ($/MWh). Note that for co-located VRE-STOR resources, these costs must be 0 (specific variable operations and maintenance costs exist in VRE-STOR dataframe). | -|CCS\_Disposal\_Cost\_per\_Metric_Ton | Cost associated with CCS disposal ($/tCO2), including pipeline, injection and storage costs of CCS-equipped generators| |**Technical performance parameters**| |Heat\_Rate\_MMBTU\_per\_MWh |Heat rate of a generator or MMBtu of fuel consumed per MWh of electricity generated for export (net of on-site consumption). The heat rate is the inverse of the efficiency: a lower heat rate is better. Should be consistent with fuel prices in terms of reporting on higher heating value (HHV) or lower heating value (LHV) basis. | |Fuel |Fuel needed for a generator. The names should match with the ones in the `Fuels_data.csv`. | @@ -350,8 +346,6 @@ This file contains cost and performance parameters for various generators and ot |Max\_Flexible\_Demand\_Delay |Maximum number of hours that demand can be deferred or delayed. Applies to resources with FLEX type 1 (hours). | |Max\_Flexible\_Demand\_Advance |Maximum number of hours that demand can be scheduled in advance of the original schedule. Applies to resources with FLEX type 1 (hours). | |Flexible\_Demand\_Energy\_Eff |[0,1], Energy efficiency associated with time shifting demand. Represents energy losses due to time shifting (or 'snap back' effect of higher consumption due to delay in use) that may apply to some forms of flexible demand. Applies to resources with FLEX type 1 (hours). For example, one may need to pre-cool a building more than normal to advance demand. | -|CO2\_Capture\_Rate |[0,1], The CO2 capture rate of CCS equiped power plants at a steady state, this value should be 0 for generators without CCS | -|CO2\_Capture\_Rate\_Startup |[0,1], The CO2 capture rate of CCS equiped power plants at during the startup events, this value should be 0 for generators without CCS | |**Required for writing outputs**| |region | Name of the model region| |cluster | Number of the cluster when representing multiple clusters of a given technology in a given region. | @@ -390,16 +384,22 @@ This file contains cost and performance parameters for various generators and ot |MinCapTag\_*| Eligibility of resources to participate in Minimum Technology Carveout constraint. \* corresponds to the ith row of the file `Minimum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**MaxCapReq = 1**| |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| +|**PiecewiseFuelUsage > 0**| +|PWFU\_NUM\_SEGMENTS| The number of segments to construct piecewise-linear fuel usage approximation| +|PWFU\_Slope\_*i| The slope (MMBTU/MWh) of i the segment for the piecewise-linear fuel usage approximation| +|PWFU\_Intercept\_*i| The intercept (MMBTU) of of i the segment for the piecewise-linear fuel usage approximation| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| |Hydrogen_MWh_Per_Tonne| Electrolyzer efficiency in megawatt-hours (MWh) of electricity per metric tonne of hydrogen produced (MWh/t)| |Electrolyzer_Min_kt| Minimum annual quantity of hydrogen that must be produced by electrolyzer in kilotonnes (kt)| |Hydrogen_Price_Per_Tonne| Price (or value) of hydrogen per metric tonne ($/t)| |Qualified_Hydrogen_Supply| {0,1}, Indicates that generator or storage resources is eligible to supply electrolyzers in the same zone (used for hourly clean supply constraint)| -|**PiecewiseFuelUsage > 0**| -|PWFU\_NUM\_SEGMENTS| The number of segements to construct piecewise linear fuel usage approximation| -|PWFU\_Slope\_*i| The slope (MMBTU/MWh) of i the segement for the piecewise linear fuel usage approximation| -|PWFU\_Intercept\_*i| The intercept (MMBTU) of of i the segement for the piecewise linear fuel usage approximation| - +|**CO2-related parameters required if any resources have nonzero CO2_Capture_Fraction**| +|CO2\_Capture\_Fraction |[0,1], The CO2 capture fraction of CCS equiped power plants at a steady state, this value should be 0 for generators without CCS | +|CO2\_Capture\_Fraction\_Startup |[0,1], The CO2 capture fraction of CCS equiped power plants at during the startup events, this value should be 0 for generators without CCS | +|Biomass | {0, 1}, Flag to indicate if generator use biomass as feedstock (optional input column).| +||Biomass = 0: Not part of set (default) | +||Biomass = 1: Use biomass as fuel.| +|CCS\_Disposal\_Cost\_per\_Metric_Ton | Cost associated with CCS disposal ($/tCO2), including pipeline, injection and storage costs of CCS-equipped generators| diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 8c83834ba4..b5bd20a011 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -201,24 +201,24 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di load_vre_stor_data!(inputs_gen, setup, path) - # write zeros if col names are not in the gen_in dataframe - missing_cols_for_co2 = ["BIOMASS", "CO2_Capture_Rate", "CO2_Capture_Rate_Startup", "CCS_Disposal_Cost_per_Metric_Ton"] - for col in missing_cols_for_co2 + # write zeros if col names are not in the gen_in dataframe + required_cols_for_co2 = ["Biomass", "CO2_Capture_Fraction", "CO2_Capture_Fraction_Startup", "CCS_Disposal_Cost_per_Metric_Ton"] + for col in required_cols_for_co2 ensure_column!(gen_in, col, 0) end - - # Scale CCS_Disposal_Cost_per_Metric_Ton for CCS units + + # Scale CCS_Disposal_Cost_per_Metric_Ton for CCS units gen_in.CCS_Disposal_Cost_per_Metric_Ton /= scale_factor # get R_ID when fuel is not None - inputs_gen["FUEL"] = gen_in[(gen_in[!,:Fuel] .!= "None"),:R_ID] + inputs_gen["HAS_FUEL"] = gen_in[(gen_in[!,:Fuel] .!= "None"),:R_ID] - # Piecewise fuel usage module - # Users should specify how many segements are used to build piecewise fuel comsumption. - # Users should at least provide Slope1 and Intercept1 if they want to use piecewise fuel usage + # Piecewise fuel usage module + # Users should specify how many segments are used to build piecewise fuel comsumption. + # Users should at least provide Slope_1 and Intercept_1 if they want to use piecewise fuel usage if setup["UCommit"] > 0 if setup["PiecewiseFuelUsage"] == 1 - process_piecewisefuelusage!(inputs_gen, gen_in, scale_factor) + process_piecewisefuelusage!(inputs_gen, scale_factor) end end @@ -505,11 +505,12 @@ function load_vre_stor_data!(inputs_gen::Dict, setup::Dict, path::AbstractString end -function process_piecewisefuelusage!(inputs_gen::Dict,gen_in::DataFrame, scale_factor) +function process_piecewisefuelusage!(inputs::Dict, scale_factor) + gen_in = inputs["dfGen"] pwfu_num_segments = maximum(gen_in[!,:PWFU_NUM_SEGMENTS]) - inputs_gen["PWFU_MAX_NUM_SEGMENTS"] = pwfu_num_segments + inputs["PWFU_MAX_NUM_SEGMENTS"] = pwfu_num_segments # thermal generators (commit) that have PWFU_NUM_SEGMENTS >= 1 are able to use piecewise fuel usage optional - inputs_gen["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) + inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) # create col names based on maximum num of segments slope_cols = [ Symbol(string("Slope_", i)) for i in 1:pwfu_num_segments] intercept_cols = [ Symbol(string("Intercept_", i)) for i in 1:pwfu_num_segments] @@ -517,6 +518,6 @@ function process_piecewisefuelusage!(inputs_gen::Dict,gen_in::DataFrame, scale_f for i in 1:pwfu_num_segments gen_in[!, intercept_cols[i]] /= scale_factor end - inputs_gen["slope_cols"] = slope_cols - inputs_gen["intercept_cols"] = intercept_cols + inputs["slope_cols"] = slope_cols + inputs["intercept_cols"] = intercept_cols end diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index f3dc1ceb96..8c52ba5cf3 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -7,33 +7,33 @@ from bioenergy with carbon capture and storage. ***** Expressions ***** -For thermal generators use fuels that contain CO2 content (e.g., coal, natural gas, and biomass), -the CO2 emissions are a function of fuel consumption, CO2 capture rate, and whether the feedstock -is biomass. -Biomass (e.g., wastes or agriculture resides) derived energy is typically considered to be -carbon-neutral because the carbon in the biomass is originated from the atmosphere. -When bioenergy is coupled with carbon capture and storage (CCS), it creates negative emissions. -If users want to represet delicated biomass, then in Generators_data.csv, it requires a column -name called "BIOMASS" (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not. -The CO2 emissions from a generator should be zero without CCS and negative with CCS. -The CO2 emissions from the generator $y$ at time $t$ (commited), is determined by total fuel -consumption (MMBTU) multiplied by the CO2 content of the fuel (t CO2/MMBTU), -then times (1 - BIOMASS [0 or 1] - CO2 capture rate [a fraction, between 0 - 1]). -The CO2 capture rate during the steady-state and startup event could be differernt -(generally startup events have lower CO2 capture rates), so we use separated CO2 capture rates +For thermal generators which use fuels with CO2 as a combustion product +(e.g., coal, natural gas, and biomass), the net CO2 emission to the environment is a function +of fuel consumption, CO2 capture fraction, and whether the feedstock is biomass. +Biomass (e.g., wastes or agriculture residues) derived energy is typically considered to be +carbon-neutral because the carbon in the biomass originates from the atmosphere. +When bioenergy is coupled with carbon capture and storage (CCS), it yields negative emissions. +If users want to represent delicated biomass, then in Generators_data.csv, it requires a column +called "Biomass" (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not. +The CO2 emissions from such a generator should be zero without CCS and negative with CCS. +The CO2 emissions from the generator $y$ at time $t$, is determined by total fuel +consumption (MMBTU) multiplied by the CO2 content of the fuel (t CO2/MMBTU), and by +(1 - Biomass [0 or 1] - CO2 capture fraction [a fraction, between 0 - 1]). +The CO2 capture fraction could be differernt during the steady-state and startup event +(generally startup events have lower CO2 capture fraction), so we use distinct CO2 capture fraction to determine the emissions. In short, the CO2 emissions depend on total CO2 content from fuel consumption, -the CO2 capture rate, and whether the generators use biomass. +the CO2 capture fraction, and whether the generators use biomass. ```math \begin{aligned} -eEmissionsByPlant_{g,t} = (1-BIOMASS_y- CO2\_Capture\_Rate_y) * vFuel_{y,t} * CO2_{content} + (1-BIOMASS_y- CO2\_Capture\_Rate\_Startup_y) * eStartFuel_{y,t} * CO2_{content} +eEmissionsByPlant_{g,t} = (1-Biomass_y- CO2\_Capture\_Fraction_y) * vFuel_{y,t} * CO2_{content} + (1-Biomass_y- CO2\_Capture\_Fraction\_Startup_y) * eStartFuel_{y,t} * CO2_{content} \hspace{1cm} \forall y \in G, \forall t \in T, Biomass_y \in {{0,1}} \end{aligned} ``` Where $Biomass_y$ represents a binary variable that determines if the generator $y$ -uses biomass (BIOMASS = 1) or not (BIOMASS = 0), $CO2\_Capture\_Rate_y$ represents a +uses biomass (Biomass = 1) or not (Biomass = 0), $CO2\_Capture\_Fraction_y$ represents a fraction (between 0 - 1) for CO2 capture rate. In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the @@ -43,7 +43,7 @@ then times CO2 capture rate. ```math \begin{aligned} -eEmissionsCaptureByPlant_{g,t} = CO2\_Capture\_Rate_y * vFuel_{y,t} * CO2_{content} + CO2\_Capture\_Rate\_Startup_y * eStartFuel_{y,t} * CO2_{content} +eEmissionsCaptureByPlant_{g,t} = CO2\_Capture\_Fraction_y * vFuel_{y,t} * CO2_{content} + CO2\_Capture\_Fraction\_Startup_y * eStartFuel_{y,t} * CO2_{content} \hspace{1cm} \forall y \in G, \forall t \in T \end{aligned} ``` @@ -58,25 +58,24 @@ function co2!(EP::Model, inputs::Dict) T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones fuel_CO2 = inputs["fuel_CO2"] # CO2 content of fuel (t CO2/MMBTU or ktCO2/Billion BTU) - FUEL = inputs["FUEL"] ### Expressions ### # CO2 emissions from power plants in "Generators_data.csv" - # if all the CO2 capture rates from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU - if all(dfGen.CO2_Capture_Rate .==0) + # if all the CO2 capture fraction from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU + if all(dfGen.CO2_Capture_Fraction .==0) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - ((1-dfGen[y, :BIOMASS]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * fuel_CO2[dfGen[y,:Fuel]])) + ((1-dfGen[y, :Biomass]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * fuel_CO2[dfGen[y,:Fuel]])) else @info "Using the CO2 module to determine the CO2 emissions of CCS-equipped plants" - # The CO2_Capture_Rate refers to the CO2 capture rate of CCS equiped power plants at a steady state - # The CO2_Capture_Rate_Startup refers to the CO2 capture rate of CCS equiped power plants during the startup event + # The CO2_Capture_Fraction refers to the CO2 capture rate of CCS equiped power plants at a steady state + # The CO2_Capture_Fraction_Startup refers to the CO2 capture rate of CCS equiped power plants during the startup event @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], - (1-dfGen[y, :BIOMASS] - dfGen[y, :CO2_Capture_Rate]) * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ - (1-dfGen[y, :BIOMASS] - dfGen[y, :CO2_Capture_Rate_Startup]) * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) + (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Fraction]) * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ + (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Fraction_Startup]) * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) # CO2 captured from power plants in "Generators_data.csv" @expression(EP, eEmissionsCaptureByPlant[y=1:G, t=1:T], - dfGen[y, :CO2_Capture_Rate] * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ - dfGen[y, :CO2_Capture_Rate_Startup] * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) + dfGen[y, :CO2_Capture_Fraction] * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ + dfGen[y, :CO2_Capture_Fraction_Startup] * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) #************************************* diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 640c7ce4ad..48c8d83150 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -2,14 +2,14 @@ @doc raw""" fuel!(EP::Model, inputs::Dict, setup::Dict) -This function creates expression to account for total fuel consumption (e.g., coal, -natural gas, hydrogen, etc). It also has the capability to model the piece-wise fuel +This function creates expressions to account for total fuel consumption (e.g., coal, +natural gas, hydrogen, etc). It also has the capability to model the piecewise fuel consumption in part load (if data is available) ***** Expressions ****** Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and -(2). use the "PiecewiseFuelUsage" options to model the fuel consumption via piecewise linear +(2). use the "PiecewiseFuelUsage" options to model the fuel consumption via piecewise-linear approximation. By using that option, users could represent higher heat rate when generators are running at minimum load, and lower heatrate when generators are running at maximum load. @@ -20,13 +20,12 @@ The fuel consumption for power generation $vFuel_{y,t}$ is determined by power g The fuel costs for power generation and start fuel for a plant $y$ at time $t$, denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) -(2). Piecewise linear approximation -In the first formulations, thermal generators are expected to have the same fuel consumption -per generating 1 MWh electricity, -regardless of minimum load or full load. However, thermal generators tend to have decreased -efficiency when operating at part load, leading to higher fuel consumption per generating -the same amount of electricity. -To have more precise representation of fuel consumption at part load, +(2). Piecewise-linear approximation +In the first formulation, thermal generators are expected to have the same fuel consumption +per MWh of electricity generated, whether they are operating at minimum load or full load. +However, thermal generators tend to have decreased efficiency when operating at part load, +leading to higher fuel consumption per amount of electricity generated. +To have a more precise representation of fuel consumption at part load, the piecewise-linear fitting of heat input can be introduced. ```math @@ -36,21 +35,21 @@ vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} \end{aligned} ``` Where $h_{y,x}$ represents slope a thermal generator $y$ in segment $x$ [MMBTU/MWh], -and $f_{y,x}$ represents intercept (MMBTU) of a thermal generator $y$ in segment $x$ [MMBUT], -and $U_{y,t}$ represents the commit status of a thermal generator $y$ at time $t$. +and $f_{y,x}$ represents intercept (MMBTU) of a thermal generator $y$ in segment $x$ [MMBTU], +and $U_{y,t}$ represents the commitment status of a thermal generator $y$ at time $t$. In "Generators_data.csv", users need to specify the number of segments in a column called PWFU_NUM_SEGMENTS, then provide corresponding Slopei and Intercepti based on the PWFU_NUM_SEGMENTS (i = PWFU_NUM_SEGMENTS). -Since fuel consumption (and fuel costs) is postive, -the optimization will optimize the fuel consumption by enforcing the inequity to equal to -the highest piecewise segment.Only one segment is active at a time for any value of vP. +Since fuel consumption and fuel costs are postive, +the optimization will optimize the fuel consumption by enforcing the inequality to equal to +the highest piecewise segment. Only one segment is active at a time for any value of vP. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. In order to run piecewise fuel consumption module, -the unit commitment must be turned on, and users should provide Slope and -Intercept for at least one segment. +the unit commitment must be turned on, and users should provide Slope_* and +Intercept_* for at least one segment. """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -59,9 +58,8 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) T = inputs["T"] # Number of time steps (hours) Z = inputs["Z"] # Number of zones G = inputs["G"] - FUEL = inputs["FUEL"] + HAS_FUEL = inputs["HAS_FUEL"] THERM_COMMIT = inputs["THERM_COMMIT"] - # exclude the "None" from fuels fuels = inputs["fuels"] NUM_FUEL = length(fuels) @@ -121,7 +119,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) ### Constraint ### ### only apply constraint to generators with fuel type other than None - @constraint(EP, FuelCalculation[y in setdiff(FUEL, THERM_COMMIT), t = 1:T], + @constraint(EP, FuelCalculation[y in setdiff(HAS_FUEL, THERM_COMMIT), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) if !isempty(THERM_COMMIT) diff --git a/src/write_outputs/write_co2.jl b/src/write_outputs/write_co2.jl index 6f7308d61b..3cbf100fd0 100644 --- a/src/write_outputs/write_co2.jl +++ b/src/write_outputs/write_co2.jl @@ -5,6 +5,12 @@ Function for reporting time-dependent CO2 emissions by zone. """ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + write_co2_emissions_plant(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + write_co2_capture_plant(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) +end + + +function write_co2_emissions_plant(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) dfGen = inputs["dfGen"] G = inputs["G"] # Number of resources (generators, storage, DR, and DERs) T = inputs["T"] # Number of time steps (hours) @@ -26,9 +32,16 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) total[!, 4:T+3] .= sum(emissions_plant, dims=1) dfEmissions_plant = vcat(dfEmissions_plant, total) CSV.write(joinpath(path, "emissions_plant.csv"), dftranspose(dfEmissions_plant, false), writeheader=false) - +end + +function write_co2_capture_plant(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) + dfGen = inputs["dfGen"] + G = inputs["G"] # Number of resources (generators, storage, DR, and DERs) + T = inputs["T"] # Number of time steps (hours) + Z = inputs["Z"] # Number of zones + dfCapturedEmissions_plant = DataFrame(Resource=inputs["RESOURCES"], Zone=dfGen[!, :Zone], AnnualSum=zeros(G)) - if any(dfGen.CO2_Capture_Rate .!= 0) + if any(dfGen.CO2_Capture_Fraction .!= 0) # Captured CO2 emissions by plant emissions_captured_plant = zeros(G, T) emissions_captured_plant = (value.(EP[:eEmissionsCaptureByPlant])) @@ -47,6 +60,4 @@ function write_co2(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) CSV.write(joinpath(path, "captured_emissions_plant.csv"), dftranspose(dfCapturedEmissions_plant, false), writeheader=false) end - - return dfEmissions_plant, dfCapturedEmissions_plant end diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index d0dea60265..91a9ff2a5b 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -80,7 +80,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) dfCost[!,2][8] = value(EP[:eTotalCGrid]) * (setup["ParameterScale"] == 1 ? ModelScalingFactor^2 : 1) end - if any(x -> x != 0, dfGen.CO2_Capture_Rate) + if any(dfGen.CO2_Capture_Fraction .!= 0) dfCost[10,2] += value(EP[:eTotaleCCO2Sequestration]) end @@ -218,7 +218,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) tempCNSE = sum(value.(EP[:eCNSE][:,:,z])) tempCTotal += tempCNSE - if any(dfGen.CO2_Capture_Rate .!=0) + if any(dfGen.CO2_Capture_Fraction .!=0) tempCCO2 = sum(value.(EP[:ePlantCCO2Sequestration][Y_ZONE,:])) tempCTotal += tempCCO2 end diff --git a/src/write_outputs/write_fuel_consumption.jl b/src/write_outputs/write_fuel_consumption.jl index 7147a25d15..ec88b3bae8 100644 --- a/src/write_outputs/write_fuel_consumption.jl +++ b/src/write_outputs/write_fuel_consumption.jl @@ -13,13 +13,13 @@ end function write_fuel_consumption_plant(path::AbstractString,inputs::Dict, setup::Dict, EP::Model) dfGen = inputs["dfGen"] G = inputs["G"] - FUEL = inputs["FUEL"] + HAS_FUEL = inputs["HAS_FUEL"] # Fuel consumption cost by each resource, including start up fuel - dfPlantFuel = DataFrame(Resource = inputs["RESOURCES"][FUEL], - Fuel = dfGen[!, :Fuel][FUEL], - Zone = dfGen[!,:Zone][FUEL], - AnnualSum = zeros(length(FUEL))) - tempannualsum = value.(EP[:ePlantCFuelOut][FUEL]) + value.(EP[:ePlantCFuelStart][FUEL]) + dfPlantFuel = DataFrame(Resource = inputs["RESOURCES"][HAS_FUEL], + Fuel = dfGen[HAS_FUEL, :Fuel], + Zone = dfGen[HAS_FUEL,:Zone], + AnnualSum = zeros(length(HAS_FUEL))) + tempannualsum = value.(EP[:ePlantCFuelOut][HAS_FUEL]) + value.(EP[:ePlantCFuelStart][HAS_FUEL]) if setup["ParameterScale"] == 1 tempannualsum *= ModelScalingFactor^2 # @@ -31,10 +31,10 @@ end function write_fuel_consumption_ts(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) T = inputs["T"] # Number of time steps (hours) - FUEL = inputs["FUEL"] - # Fuel consumption by each resource per time step, unit is MMBTU - dfPlantFuel_TS = DataFrame(Resource = inputs["RESOURCES"][FUEL]) - tempts = value.(EP[:vFuel] + EP[:eStartFuel])[FUEL,:] + HAS_FUEL = inputs["HAS_FUEL"] + # Fuel consumption by each resource per time step, unit is MMBTU + dfPlantFuel_TS = DataFrame(Resource = inputs["RESOURCES"][HAS_FUEL]) + tempts = value.(EP[:vFuel] + EP[:eStartFuel])[HAS_FUEL,:] if setup["ParameterScale"] == 1 tempts *= ModelScalingFactor # kMMBTU to MMBTU end From ad64bf05a32f618ca8b474589cd11b78d3fabf7f Mon Sep 17 00:00:00 2001 From: Gabe Mantegna Date: Wed, 30 Aug 2023 14:45:22 -0700 Subject: [PATCH 16/33] Fix typos, grammar, and input column name bug --- docs/src/data_documentation.md | 18 ++++----- src/load_inputs/load_generators_data.jl | 7 +--- src/model/core/co2.jl | 52 ++++++++++++------------- src/model/core/fuel.jl | 39 ++++++++----------- 4 files changed, 53 insertions(+), 63 deletions(-) diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index b22f5b8ea8..29ab26ad19 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -385,21 +385,21 @@ This file contains cost and performance parameters for various generators and ot |**MaxCapReq = 1**| |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**PiecewiseFuelUsage > 0**| -|PWFU\_NUM\_SEGMENTS| The number of segments to construct piecewise-linear fuel usage approximation| -|PWFU\_Slope\_*i| The slope (MMBTU/MWh) of i the segment for the piecewise-linear fuel usage approximation| -|PWFU\_Intercept\_*i| The intercept (MMBTU) of of i the segment for the piecewise-linear fuel usage approximation| +|PWFU\_NUM\_SEGMENTS| The number of segments in the piecewise-linear fuel usage approximation| +|PWFU\_Slope\_*i| The slope (MMBTU/MWh) of segment i for the piecewise-linear fuel usage approximation| +|PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| |Hydrogen_MWh_Per_Tonne| Electrolyzer efficiency in megawatt-hours (MWh) of electricity per metric tonne of hydrogen produced (MWh/t)| |Electrolyzer_Min_kt| Minimum annual quantity of hydrogen that must be produced by electrolyzer in kilotonnes (kt)| |Hydrogen_Price_Per_Tonne| Price (or value) of hydrogen per metric tonne ($/t)| |Qualified_Hydrogen_Supply| {0,1}, Indicates that generator or storage resources is eligible to supply electrolyzers in the same zone (used for hourly clean supply constraint)| |**CO2-related parameters required if any resources have nonzero CO2_Capture_Fraction**| -|CO2\_Capture\_Fraction |[0,1], The CO2 capture fraction of CCS equiped power plants at a steady state, this value should be 0 for generators without CCS | -|CO2\_Capture\_Fraction\_Startup |[0,1], The CO2 capture fraction of CCS equiped power plants at during the startup events, this value should be 0 for generators without CCS | -|Biomass | {0, 1}, Flag to indicate if generator use biomass as feedstock (optional input column).| -||Biomass = 0: Not part of set (default) | -||Biomass = 1: Use biomass as fuel.| -|CCS\_Disposal\_Cost\_per\_Metric_Ton | Cost associated with CCS disposal ($/tCO2), including pipeline, injection and storage costs of CCS-equipped generators| +|CO2\_Capture\_Fraction |[0,1], The CO2 capture fraction of CCS-equipped power plants during steady state operation. This value should be 0 for generators without CCS. | +|CO2\_Capture\_Fraction\_Startup |[0,1], The CO2 capture fraction of CCS-equipped power plants during the startup events. This value should be 0 for generators without CCS | +|Biomass | {0, 1}, Flag to indicate if generator uses biomass as feedstock (optional input column).| +||Biomass = 0: Not part of set (default). | +||Biomass = 1: Uses biomass as fuel.| +|CCS\_Disposal\_Cost\_per\_Metric_Ton | Cost associated with CCS disposal ($/tCO2), including pipeline, injection and storage costs of CCS-equipped generators.| diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index b5bd20a011..4b3e8d9c32 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -222,8 +222,6 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di end end - - println(filename * " Successfully Read!") end @@ -509,11 +507,10 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) gen_in = inputs["dfGen"] pwfu_num_segments = maximum(gen_in[!,:PWFU_NUM_SEGMENTS]) inputs["PWFU_MAX_NUM_SEGMENTS"] = pwfu_num_segments - # thermal generators (commit) that have PWFU_NUM_SEGMENTS >= 1 are able to use piecewise fuel usage optional inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) # create col names based on maximum num of segments - slope_cols = [ Symbol(string("Slope_", i)) for i in 1:pwfu_num_segments] - intercept_cols = [ Symbol(string("Intercept_", i)) for i in 1:pwfu_num_segments] + slope_cols = [ Symbol(string("PWFU_Slope_", i)) for i in 1:pwfu_num_segments] + intercept_cols = [ Symbol(string("PWFU_Intercept_", i)) for i in 1:pwfu_num_segments] # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). for i in 1:pwfu_num_segments gen_in[!, intercept_cols[i]] /= scale_factor diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 8c52ba5cf3..a56f7826cb 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -1,29 +1,30 @@ @doc raw""" co2!(EP::Model, inputs::Dict) -This function creates expression to account for CO2 emissions and captured and sequestrated +This function creates expressions to account for CO2 emissions as well as captured and sequestrated CO2 from thermal generators. It also has the capability to model the negative CO2 emissions from bioenergy with carbon capture and storage. ***** Expressions ***** -For thermal generators which use fuels with CO2 as a combustion product -(e.g., coal, natural gas, and biomass), the net CO2 emission to the environment is a function -of fuel consumption, CO2 capture fraction, and whether the feedstock is biomass. -Biomass (e.g., wastes or agriculture residues) derived energy is typically considered to be +For thermal generators which combust fuels (e.g., coal, natural gas, and biomass), +the net CO2 emission to the environment is a function of fuel consumption, CO2 capture fraction, and whether the feedstock is biomass. +The combustion of biomass (e.g., from wastes or agriculture residues) is typically considered to be carbon-neutral because the carbon in the biomass originates from the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it yields negative emissions. -If users want to represent delicated biomass, then in Generators_data.csv, it requires a column -called "Biomass" (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not. -The CO2 emissions from such a generator should be zero without CCS and negative with CCS. -The CO2 emissions from the generator $y$ at time $t$, is determined by total fuel -consumption (MMBTU) multiplied by the CO2 content of the fuel (t CO2/MMBTU), and by + +If a user wishes to represent a generator that combusts biomass, then in Generators_data.csv, +the "Biomass" column (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not, should be set to 1. +The CO2 emissions from such a generator will be assumed to be zero without CCS and negative with CCS. + +The CO2 emissions from generator $y$ at time $t$ are determined by total fuel +consumption (MMBTU) multiplied by the CO2 content of the fuel (tCO2/MMBTU), and by (1 - Biomass [0 or 1] - CO2 capture fraction [a fraction, between 0 - 1]). -The CO2 capture fraction could be differernt during the steady-state and startup event -(generally startup events have lower CO2 capture fraction), so we use distinct CO2 capture fraction +The CO2 capture fraction could be differernt during the steady-state and startup events +(generally startup events have a lower CO2 capture fraction), so we use distinct CO2 capture fractions to determine the emissions. -In short, the CO2 emissions depend on total CO2 content from fuel consumption, -the CO2 capture fraction, and whether the generators use biomass. +In short, the CO2 emissions for a generator depend on the CO2 emission factor from fuel combustion, +the CO2 capture fraction, and whether the generator uses biomass. ```math \begin{aligned} @@ -32,14 +33,14 @@ eEmissionsByPlant_{g,t} = (1-Biomass_y- CO2\_Capture\_Fraction_y) * vFuel_{y,t} \end{aligned} ``` -Where $Biomass_y$ represents a binary variable that determines if the generator $y$ -uses biomass (Biomass = 1) or not (Biomass = 0), $CO2\_Capture\_Fraction_y$ represents a -fraction (between 0 - 1) for CO2 capture rate. -In addition to CO2 emissions, for generators with non-zero CO2 capture rate, we also -determine the amount of CO2 being captured and sequestrated. The CO2 emissions from the -generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, is determined by -total fuel consumption (MMBTU) multiplied by the $CO_2$ content of the fuel (t CO2/MMBTU), -then times CO2 capture rate. +Where $Biomass_y$ represents a binary variable (1 or 0) that determines if the generator $y$ +uses biomass, and $CO2\_Capture\_Fraction_y$ represents a fraction for CO2 capture rate. + +In addition to CO2 emissions, for generators with a non-zero CO2 capture rate, we also +determine the amount of CO2 being captured and sequestered. The CO2 emissions from +generator $y$ at time $t$, denoted by $eEmissionsCaptureByPlant_{g,t}$, are determined by +total fuel consumption (MMBTU) multiplied by the $CO_2$ content of the fuel (tCO2/MMBTU), +times CO2 capture rate. ```math \begin{aligned} @@ -60,14 +61,14 @@ function co2!(EP::Model, inputs::Dict) fuel_CO2 = inputs["fuel_CO2"] # CO2 content of fuel (t CO2/MMBTU or ktCO2/Billion BTU) ### Expressions ### # CO2 emissions from power plants in "Generators_data.csv" - # if all the CO2 capture fraction from generator data are zeros, the CO2 emissions from thermal generators are determined by fuel consumptiono times CO2 content per MMBTU + # If all the CO2 capture fractions from Generators_data are zeros, the CO2 emissions from thermal generators are determined by fuel consumption times CO2 content per MMBTU if all(dfGen.CO2_Capture_Fraction .==0) @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], ((1-dfGen[y, :Biomass]) *(EP[:vFuel][y, t] + EP[:eStartFuel][y, t]) * fuel_CO2[dfGen[y,:Fuel]])) else @info "Using the CO2 module to determine the CO2 emissions of CCS-equipped plants" - # The CO2_Capture_Fraction refers to the CO2 capture rate of CCS equiped power plants at a steady state - # The CO2_Capture_Fraction_Startup refers to the CO2 capture rate of CCS equiped power plants during the startup event + # CO2_Capture_Fraction refers to the CO2 capture rate of CCS equiped power plants at a steady state + # CO2_Capture_Fraction_Startup refers to the CO2 capture rate of CCS equiped power plants during startup events @expression(EP, eEmissionsByPlant[y=1:G, t=1:T], (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Fraction]) * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ (1-dfGen[y, :Biomass] - dfGen[y, :CO2_Capture_Fraction_Startup]) * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) @@ -115,7 +116,6 @@ function co2!(EP::Model, inputs::Dict) @expression(EP, eEmissionsByZoneYear[z = 1:Z], sum(inputs["omega"][t] * eEmissionsByZone[z, t] for t in 1:T)) - return EP end diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 48c8d83150..25a0d93356 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -3,30 +3,26 @@ fuel!(EP::Model, inputs::Dict, setup::Dict) This function creates expressions to account for total fuel consumption (e.g., coal, -natural gas, hydrogen, etc). It also has the capability to model the piecewise fuel -consumption in part load (if data is available) +natural gas, hydrogen, etc). It also has the capability to model heat rates that are +a function of load via a piecewise linear approximation. ***** Expressions ****** Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and -(2). use the "PiecewiseFuelUsage" options to model the fuel consumption via piecewise-linear -approximation. -By using that option, users could represent higher heat rate when generators are running at -minimum load, and lower heatrate when generators are running at maximum load. +(2). Use the "PiecewiseFuelUsage" setting to model the fuel consumption via a piecewise-linear +approximation. By using this option, users can represent the fact that most generators have a decreasing +heat rate as a function of load. (1). Constant heat rate. The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation ($vP_{y,t}$) mutiplied by the corresponding heat rate ($Heat\_Rate_y$). The fuel costs for power generation and start fuel for a plant $y$ at time $t$, -denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, is determined by fuel consumption ($vFuel_{y,t}$ +denoted by $eCFuelOut_{y,t}$ and $eFuelStart$, are determined by fuel consumption ($vFuel_{y,t}$ and $eStartFuel$) multiplied by the fuel costs (\$/MMBTU) (2). Piecewise-linear approximation -In the first formulation, thermal generators are expected to have the same fuel consumption -per MWh of electricity generated, whether they are operating at minimum load or full load. -However, thermal generators tend to have decreased efficiency when operating at part load, -leading to higher fuel consumption per amount of electricity generated. -To have a more precise representation of fuel consumption at part load, -the piecewise-linear fitting of heat input can be introduced. +With this formulation, the heat rate of generators becomes a function of load. +In reality this relationship takes a nonlinear form, but we model it +through a piecewise-linear approximation: ```math \begin{aligned} @@ -34,16 +30,13 @@ vFuel_{y,t} >= vP_{y,t} * h_{y,x} + U_{g,t}* f_{y,x} \hspace{1cm} \forall y \in G, \forall t \in T, \forall x \in X \end{aligned} ``` -Where $h_{y,x}$ represents slope a thermal generator $y$ in segment $x$ [MMBTU/MWh], -and $f_{y,x}$ represents intercept (MMBTU) of a thermal generator $y$ in segment $x$ [MMBTU], -and $U_{y,t}$ represents the commitment status of a thermal generator $y$ at time $t$. -In "Generators_data.csv", users need to specify the number of segments in a column called -PWFU_NUM_SEGMENTS, then provide corresponding Slopei and Intercepti based on the PWFU_NUM_SEGMENTS -(i = PWFU_NUM_SEGMENTS). - -Since fuel consumption and fuel costs are postive, -the optimization will optimize the fuel consumption by enforcing the inequality to equal to -the highest piecewise segment. Only one segment is active at a time for any value of vP. +Where $h_{y,x}$ represents the heat rate slope for generator $y$ in segment $x$ [MMBTU/MWh], + $f_{y,x}$ represents the heat rate intercept (MMBTU) for a generator $y$ in segment $x$ [MMBTU], +and $U_{y,t}$ represents the commitment status of a generator $y$ at time $t$. These parameters +are optional inputs to "Generators_data.csv". + +Since fuel consumption and fuel costs are postive, the optimization will force the heat rate +to be equal to the highest heat rate segment for any given value of vP. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. From ff746eae917a4dc17ee6f525b5bfb58877a5d087 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Thu, 31 Aug 2023 08:58:12 -0400 Subject: [PATCH 17/33] fixed a bug in write_cost.jl --- src/model/core/fuel.jl | 6 +++--- src/write_outputs/write_costs.jl | 2 +- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 25a0d93356..7e9346602d 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -4,7 +4,7 @@ This function creates expressions to account for total fuel consumption (e.g., coal, natural gas, hydrogen, etc). It also has the capability to model heat rates that are -a function of load via a piecewise linear approximation. +a function of load via a piecewise-linear approximation. ***** Expressions ****** Users have two options to model the fuel consumption as a function of power generation: @@ -35,8 +35,8 @@ Where $h_{y,x}$ represents the heat rate slope for generator $y$ in segment $x$ and $U_{y,t}$ represents the commitment status of a generator $y$ at time $t$. These parameters are optional inputs to "Generators_data.csv". -Since fuel consumption and fuel costs are postive, the optimization will force the heat rate -to be equal to the highest heat rate segment for any given value of vP. +Since fuel consumption and fuel costs are postive, the optimization will force the fuel usage +to be equal to the highest fuel usage segment for any given value of vP. When the power output is zero, the commitment variable $U_{g,t}$ will bring the intercept to be zero such that the fuel consumption is zero when thermal units are offline. diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index 91a9ff2a5b..20e1bd6821 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -33,7 +33,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) cFix += ((!isempty(inputs["VS_STOR"]) ? value(EP[:eTotalCFixStor]) : 0.0) + (!isempty(inputs["VS_ASYM_DC_CHARGE"]) ? value(EP[:eTotalCFixCharge_DC]) : 0.0) + (!isempty(inputs["VS_ASYM_DC_DISCHARGE"]) ? value(EP[:eTotalCFixDischarge_DC]) : 0.0) + (!isempty(inputs["VS_ASYM_AC_CHARGE"]) ? value(EP[:eTotalCFixCharge_AC]) : 0.0) + (!isempty(inputs["VS_ASYM_AC_DISCHARGE"]) ? value(EP[:eTotalCFixDischarge_AC]) : 0.0)) cVar += (!isempty(inputs["VS_STOR"]) ? value(EP[:eTotalCVarStor]) : 0.0) end - total_cost =[objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] + total_cost =[objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] else total_cost = [objective_value(EP), cFix, cVar, cFuel, value(EP[:eTotalCNSE]), 0.0, 0.0, 0.0, 0.0, 0.0] end From 6d8797bf6d1c302e7ba1382b9da0cf3ef3b812e4 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Thu, 31 Aug 2023 11:37:34 -0400 Subject: [PATCH 18/33] Dharik sugguested to make PiecewiseFuelUsage something user could pick in Generator_data.csv 1. delete PiecewiseFuelUsage from confidure_setting + relevant changes 2. change documentation --- docs/src/data_documentation.md | 4 +-- src/configure_settings/configure_settings.jl | 3 +- src/load_inputs/load_generators_data.jl | 12 +++---- src/model/core/fuel.jl | 35 +++++++++----------- 4 files changed, 24 insertions(+), 30 deletions(-) diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index 29ab26ad19..c0c5d21fa4 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -384,8 +384,8 @@ This file contains cost and performance parameters for various generators and ot |MinCapTag\_*| Eligibility of resources to participate in Minimum Technology Carveout constraint. \* corresponds to the ith row of the file `Minimum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**MaxCapReq = 1**| |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| -|**PiecewiseFuelUsage > 0**| -|PWFU\_NUM\_SEGMENTS| The number of segments in the piecewise-linear fuel usage approximation| +|**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU_NUM_SEGMENTS**| +|PWFU\_NUM\_SEGMENTS| The number of segments in the piecewise-linear fuel usage approximation. This value should be 0 if a generator only use a constant heat rate.| |PWFU\_Slope\_*i| The slope (MMBTU/MWh) of segment i for the piecewise-linear fuel usage approximation| |PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| diff --git a/src/configure_settings/configure_settings.jl b/src/configure_settings/configure_settings.jl index 4be152e647..d95e3f390f 100644 --- a/src/configure_settings/configure_settings.jl +++ b/src/configure_settings/configure_settings.jl @@ -23,8 +23,7 @@ function default_settings() "MethodofMorris" => 0, "IncludeLossesInESR" => 0, "EnableJuMPStringNames" => false, - "HydrogenHourlyMatching" => 0, - "PiecewiseFuelUsage" => 0 + "HydrogenHourlyMatching" => 0 ) end diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 4b3e8d9c32..52fdd783b4 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -213,13 +213,13 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di # get R_ID when fuel is not None inputs_gen["HAS_FUEL"] = gen_in[(gen_in[!,:Fuel] .!= "None"),:R_ID] - # Piecewise fuel usage module - # Users should specify how many segments are used to build piecewise fuel comsumption. - # Users should at least provide Slope_1 and Intercept_1 if they want to use piecewise fuel usage + # Piecewise fuel usage option if setup["UCommit"] > 0 - if setup["PiecewiseFuelUsage"] == 1 - process_piecewisefuelusage!(inputs_gen, scale_factor) - end + # write zeros if PWFU_NUM_SEGMENTS do not exist in Generators_data.csv + ensure_column!(gen_in, "PWFU_NUM_SEGMENTS", 0) + # Users should specify how many segments (PWFU_NUM_SEGMENTS >0) are used to build piecewise fuel comsumption for a generator. + # Users should at least provide PWFU_Slope_1 and PWFU_Intercept_1 if PWFU_NUM_SEGMENTS > 0 + process_piecewisefuelusage!(inputs_gen, scale_factor) end println(filename * " Successfully Read!") diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 7e9346602d..5fa36a2fde 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -9,9 +9,9 @@ a function of load via a piecewise-linear approximation. ***** Expressions ****** Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and -(2). Use the "PiecewiseFuelUsage" setting to model the fuel consumption via a piecewise-linear -approximation. By using this option, users can represent the fact that most generators have a decreasing -heat rate as a function of load. +(2). Use the PiecewiseFuelUsage-related parameters (PWFU_NUM_SEGMENTS > 0) to model the fuel +consumption via a piecewise-linear approximation. By using this option, users can represent +the fact that most generators have a decreasing heat rate as a function of load. (1). Constant heat rate. The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation @@ -41,8 +41,8 @@ When the power output is zero, the commitment variable $U_{g,t}$ will bring the to be zero such that the fuel consumption is zero when thermal units are offline. In order to run piecewise fuel consumption module, -the unit commitment must be turned on, and users should provide Slope_* and -Intercept_* for at least one segment. +the unit commitment must be turned on, and users should provide PWFU_Slope_* and +PWFU_Intercept_* for at least one segment. """ function fuel!(EP::Model, inputs::Dict, setup::Dict) @@ -115,22 +115,17 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) @constraint(EP, FuelCalculation[y in setdiff(HAS_FUEL, THERM_COMMIT), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) - if !isempty(THERM_COMMIT) - if setup["PiecewiseFuelUsage"] == 1 - # Only apply piecewise fuel consumption to thermal generators with PWFU_NUM_SEGMENTS > 0 - THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] - for segment in 1:inputs["PWFU_MAX_NUM_SEGMENTS"] - @constraint(EP, [y in THERM_COMMIT_PWFU, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, inputs["slope_cols"]][segment] + - EP[:vCOMMIT][y, t] * dfGen[y, inputs["intercept_cols"]][segment])) - end - @constraint(EP, [y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], - EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) - - else - @constraint(EP, FuelCalculationCommit[y in THERM_COMMIT, t = 1:T], - EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) + if !isempty(THERM_COMMIT) + # Only apply piecewise fuel consumption to thermal generators with PWFU_NUM_SEGMENTS > 0 + THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] + for segment in 1:inputs["PWFU_MAX_NUM_SEGMENTS"] + @constraint(EP, [y in THERM_COMMIT_PWFU, t = 1:T], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, inputs["slope_cols"]][segment] + + EP[:vCOMMIT][y, t] * dfGen[y, inputs["intercept_cols"]][segment])) end + # For the rest of generators without piecewise segments, enforce constant heat rates + @constraint(EP, [y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], + EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) end return EP From b4ea599edbec007d762197fbb71d57d1d3ab369b Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 5 Sep 2023 14:30:37 -0400 Subject: [PATCH 19/33] revise v3 1. revise process_piecewisefuelusage such that it gives error message when the piecewise fuel usage data are in valid (e.g., negative slope, different numbers of slope/intercept). revise the constraint formulation by set rather than a for loop 2. slightly revise the description for biomass, avoid saying "carbon-neutral" 3. add an onezone example based on smallnewengland one zone system. include a ngcc-ccs generator and a biomass -ccs generator and set the co2 cap to be net-zero. --- .../PiecewiseFuel_CO2_Example/CO2_cap.csv | 2 + .../PiecewiseFuel_CO2_Example/Demand_data.csv | 8761 ++++++++++++++++ .../PiecewiseFuel_CO2_Example/Fuels_data.csv | 8762 +++++++++++++++++ .../Generators_data.csv | 7 + .../Generators_variability.csv | 8761 ++++++++++++++++ .../PiecewiseFuel_CO2_Example/README.md | 15 + .../PiecewiseFuel_CO2_Example/Run.jl | 3 + .../Settings/cbc_settings.yml | 11 + .../Settings/clp_settings.yml | 14 + .../Settings/cplex_settings.yml | 10 + .../Settings/genx_settings.yml | 21 + .../Settings/gurobi_settings.yml | 15 + .../Settings/highs_settings.yml | 13 + .../Settings/scip_settings.yml | 5 + .../time_domain_reduction_settings.yml | 151 + docs/src/data_documentation.md | 3 +- src/load_inputs/load_generators_data.jl | 52 +- src/model/core/co2.jl | 9 +- src/model/core/fuel.jl | 28 +- 19 files changed, 26611 insertions(+), 32 deletions(-) create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/CO2_cap.csv create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Demand_data.csv create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Fuels_data.csv create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/README.md create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Run.jl create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/gurobi_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/highs_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/CO2_cap.csv b/Example_Systems/PiecewiseFuel_CO2_Example/CO2_cap.csv new file mode 100644 index 0000000000..4971b2515f --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/CO2_cap.csv @@ -0,0 +1,2 @@ +,Network_zones,CO_2_Cap_Zone_1,CO_2_Max_tons_MWh_1,CO_2_Max_Mtons_1 +NE,z1,1,0,0 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Demand_data.csv 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+Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Min_Cap_MWh,Min_Charge_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Hydro_Energy_to_Power_Ratio,Min_Power,Self_Disch,Eff_Up,Eff_Down,Min_Duration,Max_Duration,Max_Flexible_Demand_Advance,Max_Flexible_Demand_Delay,Flexible_Demand_Energy_Eff,Reg_Max,Rsv_Max,Reg_Cost,Rsv_Cost,MaxCapTag_1,MaxCapTag_2,MaxCapTag_3,MinCapTag_1,MinCapTag_2,MinCapTag_3,MGA,Resource_Type,CapRes_1,ESR_1,ESR_2,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass 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+natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,100000,0,0,20000,0,0,3.55,0,8,NG,250,91,2,6,6,0.64,0.64,0,0.468,0,1,1,0,0,0,0,1,0.25,0.5,0,0,0,0,0,0,0,0,1,natural_gas_fired_combined_cycle_ccs,0.93,0,0,NE,1,6,400,7.2,200,0.95,0.6,20,0 +biomass_ccs,1,1,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,200000,0,0,40000,0,0,3.55,0,10,Biomass,250,91,2,6,6,0.64,0.64,0,0.468,0,1,1,0,0,0,0,1,0.25,0.5,0,0,0,0,0,0,0,0,1,biomass_ccs,0.93,0,0,NE,1,0,0,0,0,0.9,0.6,20,1 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv new file mode 100644 index 0000000000..eec3bc3219 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv @@ -0,0 +1,8761 @@ +Time_Index,natural_gas_combined_cycle,solar_pv,onshore_wind,battery,natural_gas_combined_cycle_ccs,biomass_ccs +1,1,0,0.889717042,1,1,1 +2,1,0,0.877715468,1,1,1 +3,1,0,0.903424203,1,1,1 +4,1,0,0.895153165,1,1,1 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b/Example_Systems/PiecewiseFuel_CO2_Example/README.md @@ -0,0 +1,15 @@ +# PiecewiseFuel_CO2: One Zone + +**PiecewiseFuel_CO2** is set of a simplified versions of the more detailed example system RealSystemExample. It is condensed for easy comprehension and quick testing of different components of the GenX. **PiecewiseFuel_CO2** is our most basic model, a one-year example with hourly resolution containing only one zone representing New England. The model includes only natural gas, solar PV, wind, and lithium-ion battery storage with no initial capacity. + +To run the model, first navigate to the example directory at `GenX/Example_Systems/PiecewiseFuel_CO2`: + +`cd("Example_Systems/PiecewiseFuel_CO2")` + +Next, ensure that your settings in `GenX_settings.yml` are correct. The default settings use the solver HiGHS (`Solver: HiGHS`), time domain reduced input data (`TimeDomainReduction: 1`). Other optional policies include minimum capacity requirements, a capacity reserve margin, and more. A rate-based carbon cap of 0 gCO2 per kWh (net-zero) is specified in the `CO2_cap.csv` input file. + +Once the settings are confirmed, run the model with the `Run.jl` script in the example directory: + +`include("Run.jl")` + +Once the model has completed, results will write to the `Results` directory. diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Run.jl b/Example_Systems/PiecewiseFuel_CO2_Example/Run.jl new file mode 100644 index 0000000000..b44ca23ec1 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Run.jl @@ -0,0 +1,3 @@ +using GenX + +run_genx_case!(dirname(@__FILE__)) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml new file mode 100644 index 0000000000..92c6fa892f --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml @@ -0,0 +1,11 @@ +# CBC Solver Parameters +# Common solver settings +TimeLimit: 110000 # Solution timeout limit. For example, set_optimizer_attribute(model, "seconds", 60.0). + +#CBC-specific solver settings +logLevel: 1 # Set to 1 to enable solution output. For example, set_optimizer_attribute(model, "logLevel", 1). +maxSolutions: -1 # Terminate after this many feasible solutions have been found. For example, set_optimizer_attribute(model, "maxSolutions", 1). +maxNodes: 2000 # Terminate after this many branch-and-bound nodes have been evaluated. For example, set_optimizer_attribute(model, "maxNodes", 1). +allowableGap: 1 # Terminate after optimality gap is less than this value (on an absolute scale). For example, set_optimizer_attribute(model, "allowableGap", 0.05). +ratioGap: 0.01 # Terminate after optimality gap is smaller than this relative fraction. For example, set_optimizer_attribute(model, "allowableGap", 0.05). +threads: 2 # Set the number of threads to use for parallel branch & bound. For example, set_optimizer_attribute(model, "threads", 2) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml new file mode 100644 index 0000000000..c4c003d08e --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml @@ -0,0 +1,14 @@ +# Clp Solver parameters https://github.com/jump-dev/Clp.jl +# Common solver settings +Feasib_Tol: 1e-5 # Primal/Dual feasibility tolerance +TimeLimit: -1.0 # Terminate after this many seconds have passed. A negative value means no time limit +Pre_Solve: 0 # Set to 1 to disable presolve +Method: 5 # Solution method: dual simplex (0), primal simplex (1), sprint (2), barrier with crossover (3), barrier without crossover (4), automatic (5) + +#Clp-specific solver settings +DualObjectiveLimit: 1e308 # When using dual simplex (where the objective is monotonically changing), terminate when the objective exceeds this limit +MaximumIterations: 2147483647 # Terminate after performing this number of simplex iterations +LogLevel: 1 # Set to 1, 2, 3, or 4 for increasing output. Set to 0 to disable output +InfeasibleReturn: 0 # Set to 1 to return as soon as the problem is found to be infeasible (by default, an infeasibility proof is computed as well) +Scaling: 3 # 0 -off, 1 equilibrium, 2 geometric, 3 auto, 4 dynamic(later) +Perturbation: 100 # switch on perturbation (50), automatic (100), don't try perturbing (102) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml new file mode 100644 index 0000000000..8d37873eef --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml @@ -0,0 +1,10 @@ +# CPLEX Solver Parameters +Feasib_Tol: 1.0e-05 # Constraint (primal) feasibility tolerances. +Optimal_Tol: 1e-5 # Dual feasibility tolerances. +Pre_Solve: 1 # Controls presolve level. +TimeLimit: 110000 # Limits total time solver. +MIPGap: 1e-3 # Relative (p.u. of optimal) mixed integer optimality tolerance for MIP problems (ignored otherwise). +Method: 2 # Algorithm used to solve continuous models (including MIP root relaxation). +BarConvTol: 1.0e-08 # Barrier convergence tolerance (determines when barrier terminates). +NumericFocus: 0 # Numerical precision emphasis. +SolutionType: 2 # Solution type for LP or QP. diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml new file mode 100644 index 0000000000..57ae7e4482 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml @@ -0,0 +1,21 @@ +OverwriteResults: 0 # Overwrite existing results in output folder or create a new one; 0 = create new folder; 1 = overwrite existing results +PrintModel: 0 # Write the model formulation as an output; 0 = active; 1 = not active +NetworkExpansion: 0 # Transmission network expansionl; 0 = not active; 1 = active systemwide +Trans_Loss_Segments: 1 # Number of segments used in piecewise linear approximation of transmission losses; 1 = linear, >2 = piecewise quadratic +Reserves: 0 # Regulation (primary) and operating (secondary) reserves; 0 = not active, 1 = active systemwide +EnergyShareRequirement: 0 # Minimum qualifying renewables penetration; 0 = not active; 1 = active systemwide +CapacityReserveMargin: 0 # Number of capacity reserve margin constraints; 0 = not active; 1 = active systemwide +CO2Cap: 2 # CO2 emissions cap; 0 = not active (no CO2 emission limit); 1 = mass-based emission limit constraint; 2 = demand + rate-based emission limit constraint; 3 = generation + rate-based emission limit constraint +StorageLosses: 1 # Energy Share Requirement and CO2 constraints account for energy lost; 0 = not active (DO NOT account for energy lost); 1 = active systemwide (DO account for energy lost) +MinCapReq: 0 # Activate minimum technology carveout constraints; 0 = not active; 1 = active +MaxCapReq: 0 # Activate maximum technology carveout constraints; 0 = not active; 1 = active +Solver: HiGHS # Available solvers: Gurobi, CPLEX, Clps +ParameterScale: 1 # Turn on parameter scaling wherein demand, capacity and power variables are defined in GW rather than MW. 0 = not active; 1 = active systemwide +WriteShadowPrices: 1 # Write shadow prices of LP or relaxed MILP; 0 = not active; 1 = active +UCommit: 2 # Unit committment of thermal power plants; 0 = not active; 1 = active using integer clestering; 2 = active using linearized clustering +TimeDomainReductionFolder: "TDR_Results" # Directory name where results from time domain reduction will be saved. If results already exist here, these will be used without running time domain reduction script again. +TimeDomainReduction: 1 # Time domain reduce (i.e. cluster) inputs based on Demand_data.csv, Generators_variability.csv, and Fuels_data.csv; 0 = not active (use input data as provided); 0 = active (cluster input data, or use data that has already been clustered) +ModelingToGenerateAlternatives: 0 # Modeling to generate alternatives; 0 = not active; 1 = active. Note: produces a single solution as output +ModelingtoGenerateAlternativeSlack: 0.1 # Slack value as a fraction of least-cost objective in budget constraint used for evaluating alternative model solutions; positive float value +ModelingToGenerateAlternativeIterations: 3 # Number of MGA iterations with maximization and minimization objective +MethodofMorris: 0 #Flag for turning on the Method of Morris analysis diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/gurobi_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/gurobi_settings.yml new file mode 100644 index 0000000000..0aa53a56d3 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/gurobi_settings.yml @@ -0,0 +1,15 @@ +# Gurobi Solver Parameters +# Common solver settings +Feasib_Tol: 1.0e-05 # Constraint (primal) feasibility tolerances. +Optimal_Tol: 1e-5 # Dual feasibility tolerances. +TimeLimit: 110000 # Limits total time solver. +Pre_Solve: 1 # Controls presolve level. +Method: 2 # Algorithm used to solve continuous models (including MIP root relaxation). + +#Gurobi-specific solver settings +MIPGap: 1e-3 # Relative (p.u. of optimal) mixed integer optimality tolerance for MIP problems (ignored otherwise). +BarConvTol: 1.0e-08 # Barrier convergence tolerance (determines when barrier terminates). +NumericFocus: 0 # Numerical precision emphasis. +Crossover: 0 # Barrier crossver strategy. +PreDual: 0 # Decides whether presolve should pass the primal or dual linear programming problem to the LP optimization algorithm. +AggFill: 10 # Allowed fill during presolve aggregation. diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/highs_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/highs_settings.yml new file mode 100644 index 0000000000..bb4b286074 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/highs_settings.yml @@ -0,0 +1,13 @@ +# HiGHS Solver Parameters +# Common solver settings +Feasib_Tol: 1.0e-05 # Primal feasibility tolerance # [type: double, advanced: false, range: [1e-10, inf], default: 1e-07] +Optimal_Tol: 1.0e-05 # Dual feasibility tolerance # [type: double, advanced: false, range: [1e-10, inf], default: 1e-07] +TimeLimit: 1.0e23 # Time limit # [type: double, advanced: false, range: [0, inf], default: inf] +Pre_Solve: choose # Presolve option: "off", "choose" or "on" # [type: string, advanced: false, default: "choose"] +Method: choose #HiGHS-specific solver settings # Solver option: "simplex", "choose" or "ipm" # [type: string, advanced: false, default: "choose"] + +#highs-specific solver settings + +# run the crossover routine for ipx +# [type: string, advanced: "on", range: {"off", "on"}, default: "off"] +run_crossover: "off" diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml new file mode 100644 index 0000000000..2779d54826 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml @@ -0,0 +1,5 @@ +# SCIP Solver Parameters + +#SCIP-specific solver settings +Dispverblevel: 0 +limitsgap: 0.05 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml new file mode 100644 index 0000000000..537b80d797 --- /dev/null +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml @@ -0,0 +1,151 @@ +##### +# +# TIME DOMAIN REDUCTION SETTINGS +# +# Set parameters here that organize how your full timeseries +# data will be divided into representative period clusters. +# Ensure that time_domain_reduction is set to 1 in GenX_settings.yml +# before running. Run within GenX or use PreCluster.jl to test and +# examine representative period output before proceeding. +# Specify your data input directory as inpath within Run_test.jl +# or PreCluster.jl. +# +##### + + # - TimestepsPerRepPeriod + # Typically 168 timesteps (e.g., hours) per period, this designates + # the length of each representative period. +TimestepsPerRepPeriod: 168 + + # - ClusterMethod + # Either 'kmeans' or 'kmedoids', this designates the method used to cluster + # periods and determine each point's representative period. +ClusterMethod: 'kmeans' + + # - ScalingMethod + # Either 'N' or 'S', this designates directs the module to normalize ([0,1]) + # or standardize (mean 0, variance 1) the input data. +ScalingMethod: "S" + + # - MaxPeriods + # The maximum number of periods - both clustered periods and extreme periods - + # that may be used to represent the input data. If IterativelyAddPeriods is on and the + # error threshold is never met, this will be the total number of periods. +MaxPeriods: 11 + + # - MinPeriods + # The minimum number of periods used to represent the input data. If using + # UseExtremePeriods, this must be at least the number of extreme periods requests. If + # IterativelyAddPeriods if off, this will be the total number of periods. +MinPeriods: 8 + + # - IterativelyAddPeriods + # Either 'yes' or 'no', this designates whether or not to add periods + # until the error threshold between input data and represented data is met or the maximum + # number of periods is reached. +IterativelyAddPeriods: 1 + + # - IterateMethod + # Either 'cluster' or 'extreme', this designates whether to add clusters to + # the kmeans/kmedoids method or to set aside the worst-fitting periods as a new extreme periods. + # The default option is 'cluster'. +IterateMethod: "cluster" + + # - Threshold + # Iterative period addition will end if the period farthest (Euclidean Distance) + # from its representative period is within this percentage of the total possible error (for normalization) + # or ~95% of the total possible error (for standardization). E.g., for a threshold of 0.01, + # every period must be within 1% of the spread of possible error before the clustering + # iterations will terminate (or until the max number of periods is reached). +Threshold: 0.05 + + # - nReps + # The number of times to repeat each kmeans/kmedoids clustering at the same setting. +nReps: 100 + + # - DemandWeight + # Default 1, this is an optional multiplier on demand columns in order to prioritize + # better fits for demand profiles over resource capacity factor profiles. +DemandWeight: 1 + + # - WeightTotal + # Default 8760, the sum to which the relative weights of representative periods will be scaled. +WeightTotal: 8760 + + # - ClusterFuelPrices + # Either 1 (yes) or 0 (no), this indicates whether or not to use the fuel price + # time series in Fuels_data.csv in the clustering process. If 0, this function will still write + # Fuels_data_clustered.csv with reshaped fuel prices based on the number and size of the + # representative weeks, assuming a constant time series of fuel prices with length equal to the + # number of timesteps in the raw input data. +ClusterFuelPrices: 1 + + # - UseExtremePeriods + # Either 'yes' or 'no', this designates whether or not to include + # outliers (by performance or demand/resource extreme) as their own representative periods. + # This setting automatically includes the periods with maximum demand, minimum solar cf and + # minimum wind cf as extreme periods. +UseExtremePeriods: 1 + + # - MultiStageConcatenate + # (Only considered if MultiStage = 1 in genx_settings.yml) + # If 1, this designates that the model should time domain reduce the input data + # of all model stages together. Else if 0, the model will time domain reduce each + # stage separately +MultiStageConcatenate: 0 + +# STILL IN DEVELOPMENT - Currently just uses integral max demand, integral min PV and wind. +# - ExtremePeriods +# Use this to define which periods to be included among the final representative periods +# as "Extreme Periods". +# Select by profile type: demand ("Demand"), solar PV capacity factors ("PV"), and wind capacity factors ("Wind"). +# Select whether to examine these profiles by zone ("Zone") or across the whole system ("System"). +# Select whether to look for absolute max/min at the timestep level ("Absolute") +# or max/min sum across the period ("Integral"). +# Select whether you want the maximum ("Max") or minimum ("Min") (of the prior type) for each profile type. +ExtremePeriods: + Demand: + Zone: + Absolute: + Max: 0 + Min: 0 + Integral: + Max: 0 + Min: 0 + System: + Absolute: + Max: 1 + Min: 0 + Integral: + Max: 0 + Min: 0 + PV: + Zone: + Absolute: + Max: 0 + Min: 0 + Integral: + Max: 0 + Min: 1 + System: + Absolute: + Max: 0 + Min: 0 + Integral: + Max: 0 + Min: 0 + Wind: + Zone: + Absolute: + Max: 0 + Min: 0 + Integral: + Max: 0 + Min: 1 + System: + Absolute: + Max: 0 + Min: 0 + Integral: + Max: 0 + Min: 0 diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index c0c5d21fa4..aa0e7f4f75 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -384,8 +384,7 @@ This file contains cost and performance parameters for various generators and ot |MinCapTag\_*| Eligibility of resources to participate in Minimum Technology Carveout constraint. \* corresponds to the ith row of the file `Minimum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**MaxCapReq = 1**| |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| -|**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU_NUM_SEGMENTS**| -|PWFU\_NUM\_SEGMENTS| The number of segments in the piecewise-linear fuel usage approximation. This value should be 0 if a generator only use a constant heat rate.| +|**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU_Slope and PWFU_Intercept**| |PWFU\_Slope\_*i| The slope (MMBTU/MWh) of segment i for the piecewise-linear fuel usage approximation| |PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 52fdd783b4..fa39a363dc 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -215,10 +215,6 @@ function load_generators_data!(setup::Dict, path::AbstractString, inputs_gen::Di # Piecewise fuel usage option if setup["UCommit"] > 0 - # write zeros if PWFU_NUM_SEGMENTS do not exist in Generators_data.csv - ensure_column!(gen_in, "PWFU_NUM_SEGMENTS", 0) - # Users should specify how many segments (PWFU_NUM_SEGMENTS >0) are used to build piecewise fuel comsumption for a generator. - # Users should at least provide PWFU_Slope_1 and PWFU_Intercept_1 if PWFU_NUM_SEGMENTS > 0 process_piecewisefuelusage!(inputs_gen, scale_factor) end @@ -505,16 +501,42 @@ end function process_piecewisefuelusage!(inputs::Dict, scale_factor) gen_in = inputs["dfGen"] - pwfu_num_segments = maximum(gen_in[!,:PWFU_NUM_SEGMENTS]) - inputs["PWFU_MAX_NUM_SEGMENTS"] = pwfu_num_segments - inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) - # create col names based on maximum num of segments - slope_cols = [ Symbol(string("PWFU_Slope_", i)) for i in 1:pwfu_num_segments] - intercept_cols = [ Symbol(string("PWFU_Intercept_", i)) for i in 1:pwfu_num_segments] - # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). - for i in 1:pwfu_num_segments - gen_in[!, intercept_cols[i]] /= scale_factor + inputs["PWFU_Max_Num_Segments"] = 0 + inputs["THERM_COMMIT_PWFU"] = Int64[] + + if any(occursin.(Ref("PWFU_"), names(gen_in))) + slope_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Slope") + intercept_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Intercept") + if size(slope_mat)[2] != size(intercept_mat)[2] + @error """ The number of slope and intercept used for piecewise fuel consumption must be equal + """ + end + + # check if values for piecewise fuel consumption make sense. Negative slopes are not allowed as they will make the model non-convex + if any(slope_mat .< 0) + @error """ Slope used for piecewise fuel consumption cannot be negative + """ + end + + # create OR matrix that identify nonzero slope and intercept + slope_check_zero = slope_mat .!= 0 + intercept_check_zero = intercept_mat .!=0 + slope_or_intercept = slope_check_zero .| intercept_check_zero + + # determine if a generator contains piecewise fuel usage segment + gen_in.PWFU_NUM_SEGMENTS .= any(slope_or_intercept .!=0, dims = 2) + # the maximum segment is equal to the maximum number of PWFU_Slope_* and PWFU_Intercept_* that user provide. + max_segments = maximum(size(slope_or_intercept)[2]) + # create col names + slope_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Slope"),names(gen_in))) + intercept_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Intercept"),names(gen_in))) + # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). + for i in 1:max_segments + gen_in[!, intercept_cols[i]] /= scale_factor + end + inputs["slope_cols"] = slope_cols + inputs["intercept_cols"] = intercept_cols + inputs["PWFU_Max_Num_Segments"] =max_segments + inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) end - inputs["slope_cols"] = slope_cols - inputs["intercept_cols"] = intercept_cols end diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index a56f7826cb..0662caad3f 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -8,10 +8,11 @@ from bioenergy with carbon capture and storage. ***** Expressions ***** For thermal generators which combust fuels (e.g., coal, natural gas, and biomass), -the net CO2 emission to the environment is a function of fuel consumption, CO2 capture fraction, and whether the feedstock is biomass. -The combustion of biomass (e.g., from wastes or agriculture residues) is typically considered to be -carbon-neutral because the carbon in the biomass originates from the atmosphere. -When bioenergy is coupled with carbon capture and storage (CCS), it yields negative emissions. +the net CO2 emission to the environment is a function of fuel consumption, CO2 capture fraction, +and whether the feedstock is biomass. Here we do not account for the biogenic CO2 from biomass +(e.g., from wastes or agriculture residues) because the carbon in the biomass originates from +the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it yields +negative emissions. If a user wishes to represent a generator that combusts biomass, then in Generators_data.csv, the "Biomass" column (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not, should be set to 1. diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 5fa36a2fde..f097441d65 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -9,9 +9,9 @@ a function of load via a piecewise-linear approximation. ***** Expressions ****** Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and -(2). Use the PiecewiseFuelUsage-related parameters (PWFU_NUM_SEGMENTS > 0) to model the fuel -consumption via a piecewise-linear approximation. By using this option, users can represent -the fact that most generators have a decreasing heat rate as a function of load. +(2). Use the PiecewiseFuelUsage-related parameters to model the fuel consumption via a +piecewise-linear approximation. By using this option, users can represent the fact that most +generators have a decreasing heat rate as a function of load. (1). Constant heat rate. The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation @@ -56,6 +56,7 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) fuels = inputs["fuels"] NUM_FUEL = length(fuels) + # create variable for fuel consumption for output @variable(EP, vFuel[y in 1:G, t = 1:T] >= 0) @@ -116,15 +117,20 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) if !isempty(THERM_COMMIT) - # Only apply piecewise fuel consumption to thermal generators with PWFU_NUM_SEGMENTS > 0 + # Only apply piecewise fuel consumption to thermal generators in THERM_COMMIT_PWFU set THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] - for segment in 1:inputs["PWFU_MAX_NUM_SEGMENTS"] - @constraint(EP, [y in THERM_COMMIT_PWFU, t = 1:T], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * dfGen[y, inputs["slope_cols"]][segment] + - EP[:vCOMMIT][y, t] * dfGen[y, inputs["intercept_cols"]][segment])) - end - # For the rest of generators without piecewise segments, enforce constant heat rates - @constraint(EP, [y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], + # segemnt for piecewise fuel usage + segs = 1:inputs["PWFU_Max_Num_Segments"] + slope_cols = inputs["slope_cols"] + intercept_cols = inputs["intercept_cols"] + segment_intercept(y, seg) = dfGen[y, intercept_cols[seg]] + segment_slope(y, seg) = dfGen[y, slope_cols[seg]] + # constraint for piecewise fuel consumption + @constraint(EP, PiecewiseFuelUsage[y in THERM_COMMIT_PWFU, t = 1:T, seg in segs], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * segment_slope(y, seg) + + EP[:vCOMMIT][y, t] * segment_intercept(y, seg))) + # constraint for fuel consumption at a constant heat rate + @constraint(EP, FuelCalculationCommit[y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) end From e8deaa8273898005eeed1ce4f5aaf5293f2b0c40 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 5 Sep 2023 17:03:40 -0400 Subject: [PATCH 20/33] simplify the example system and fixed a bug in fuel module.. --- .../PiecewiseFuel_CO2_Example/Demand_data.csv | 8786 +--------------- .../PiecewiseFuel_CO2_Example/Fuels_data.csv | 8788 +---------------- .../Generators_data.csv | 11 +- .../Generators_variability.csv | 8786 +--------------- .../PiecewiseFuel_CO2_Example/README.md | 6 +- .../Settings/cbc_settings.yml | 11 - .../Settings/clp_settings.yml | 14 - .../Settings/cplex_settings.yml | 10 - .../Settings/genx_settings.yml | 127 +- .../Settings/scip_settings.yml | 5 - .../time_domain_reduction_settings.yml | 151 - src/model/core/fuel.jl | 20 +- 12 files changed, 200 insertions(+), 26515 deletions(-) delete mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml delete mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml delete mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml delete mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml delete mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Demand_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Demand_data.csv index e1faac16c8..01f65be662 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Demand_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Demand_data.csv @@ -1,8761 +1,25 @@ -Voll,Demand_Segment,Cost_of_Demand_Curtailment_per_MW,Max_Demand_Curtailment,Rep_Periods,Timesteps_per_Rep_Period,Sub_Weights,Time_Index,Demand_MW_z1 -50000,1,1,1,1,8760,8760,1,11162 -,,,,,,,2,10556 -,,,,,,,3,10105 -,,,,,,,4,9878 -,,,,,,,5,9843 -,,,,,,,6,10017 -,,,,,,,7,10390 -,,,,,,,8,10727 -,,,,,,,9,11298 -,,,,,,,10,11859 -,,,,,,,11,12196 -,,,,,,,12,12321 -,,,,,,,13,12381 -,,,,,,,14,12270 -,,,,,,,15,12149 -,,,,,,,16,12219 -,,,,,,,17,13410 -,,,,,,,18,14539 -,,,,,,,19,14454 -,,,,,,,20,14012 -,,,,,,,21,13494 -,,,,,,,22,12772 -,,,,,,,23,11877 -,,,,,,,24,10874 -,,,,,,,25,10025 -,,,,,,,26,9511 -,,,,,,,27,9264 -,,,,,,,28,9208 -,,,,,,,29,9410 -,,,,,,,30,9924 -,,,,,,,31,10696 -,,,,,,,32,11329 -,,,,,,,33,12105 -,,,,,,,34,12899 -,,,,,,,35,13482 -,,,,,,,36,13721 -,,,,,,,37,13699 -,,,,,,,38,13611 -,,,,,,,39,13568 -,,,,,,,40,13774 -,,,,,,,41,15066 -,,,,,,,42,16374 -,,,,,,,43,16230 -,,,,,,,44,15838 -,,,,,,,45,15197 -,,,,,,,46,14189 -,,,,,,,47,12940 -,,,,,,,48,11808 -,,,,,,,49,11057 -,,,,,,,50,10682 -,,,,,,,51,10502 -,,,,,,,52,10524 -,,,,,,,53,10901 -,,,,,,,54,12021 -,,,,,,,55,14003 -,,,,,,,56,15113 -,,,,,,,57,15301 -,,,,,,,58,15406 -,,,,,,,59,15544 -,,,,,,,60,15570 -,,,,,,,61,15507 -,,,,,,,62,15485 -,,,,,,,63,15426 -,,,,,,,64,15639 -,,,,,,,65,16860 -,,,,,,,66,18195 -,,,,,,,67,18230 -,,,,,,,68,17924 -,,,,,,,69,17341 -,,,,,,,70,16318 -,,,,,,,71,14952 -,,,,,,,72,13756 -,,,,,,,73,13012 -,,,,,,,74,12621 -,,,,,,,75,12422 -,,,,,,,76,12444 -,,,,,,,77,12784 -,,,,,,,78,13840 -,,,,,,,79,15761 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-,,,,,,,356,17098 -,,,,,,,357,16608 -,,,,,,,358,15781 -,,,,,,,359,14792 -,,,,,,,360,13802 -,,,,,,,361,13108 -,,,,,,,362,12744 -,,,,,,,363,12598 -,,,,,,,364,12604 -,,,,,,,365,12895 -,,,,,,,366,13656 -,,,,,,,367,14913 -,,,,,,,368,15839 -,,,,,,,369,16476 -,,,,,,,370,16832 -,,,,,,,371,16968 -,,,,,,,372,16833 -,,,,,,,373,16562 -,,,,,,,374,16374 -,,,,,,,375,16167 -,,,,,,,376,16199 -,,,,,,,377,17023 -,,,,,,,378,18122 -,,,,,,,379,17922 -,,,,,,,380,17380 -,,,,,,,381,16590 -,,,,,,,382,15454 -,,,,,,,383,14092 -,,,,,,,384,12838 -,,,,,,,385,11975 -,,,,,,,386,11489 -,,,,,,,387,11270 -,,,,,,,388,11212 -,,,,,,,389,11495 -,,,,,,,390,12471 -,,,,,,,391,14244 -,,,,,,,392,15283 -,,,,,,,393,15437 -,,,,,,,394,15442 -,,,,,,,395,15432 -,,,,,,,396,15372 -,,,,,,,397,15291 -,,,,,,,398,15273 -,,,,,,,399,15221 -,,,,,,,400,15368 -,,,,,,,401,16221 -,,,,,,,402,17049 -,,,,,,,403,16811 -,,,,,,,404,16305 -,,,,,,,405,15551 -,,,,,,,406,14425 -,,,,,,,407,13021 -,,,,,,,408,11759 -,,,,,,,409,10910 -,,,,,,,410,10476 -,,,,,,,411,10252 -,,,,,,,412,10226 -,,,,,,,413,10562 -,,,,,,,414,11652 -,,,,,,,415,13652 -,,,,,,,416,14698 -,,,,,,,417,14807 -,,,,,,,418,14897 -,,,,,,,419,15012 -,,,,,,,420,15020 -,,,,,,,421,14951 -,,,,,,,422,14934 -,,,,,,,423,14862 -,,,,,,,424,14987 -,,,,,,,425,15879 -,,,,,,,426,17379 -,,,,,,,427,17506 -,,,,,,,428,17201 -,,,,,,,429,16609 -,,,,,,,430,15606 -,,,,,,,431,14327 -,,,,,,,432,13151 -,,,,,,,433,12419 -,,,,,,,434,12069 -,,,,,,,435,11924 -,,,,,,,436,11951 -,,,,,,,437,12330 -,,,,,,,438,13432 -,,,,,,,439,15441 -,,,,,,,440,16495 -,,,,,,,441,16541 -,,,,,,,442,16458 -,,,,,,,443,16368 -,,,,,,,444,16164 -,,,,,,,445,15911 -,,,,,,,446,15752 -,,,,,,,447,15565 -,,,,,,,448,15672 -,,,,,,,449,16462 -,,,,,,,450,17564 -,,,,,,,451,17532 -,,,,,,,452,17230 -,,,,,,,453,16538 -,,,,,,,454,15449 -,,,,,,,455,14077 -,,,,,,,456,12834 -,,,,,,,457,11993 -,,,,,,,458,11519 -,,,,,,,459,11299 -,,,,,,,460,11252 -,,,,,,,461,11592 -,,,,,,,462,12607 -,,,,,,,463,14487 -,,,,,,,464,15486 -,,,,,,,465,15598 -,,,,,,,466,15644 -,,,,,,,467,15688 -,,,,,,,468,15624 -,,,,,,,469,15449 -,,,,,,,470,15337 -,,,,,,,471,15152 -,,,,,,,472,15178 -,,,,,,,473,15852 -,,,,,,,474,17100 -,,,,,,,475,17034 -,,,,,,,476,16616 -,,,,,,,477,16075 -,,,,,,,478,15301 -,,,,,,,479,14246 -,,,,,,,480,13142 -,,,,,,,481,12357 -,,,,,,,482,11915 -,,,,,,,483,11645 -,,,,,,,484,11540 -,,,,,,,485,11639 -,,,,,,,486,12016 -,,,,,,,487,12759 -,,,,,,,488,13644 -,,,,,,,489,14632 -,,,,,,,490,15491 -,,,,,,,491,16021 -,,,,,,,492,16247 -,,,,,,,493,16246 -,,,,,,,494,16039 -,,,,,,,495,15778 -,,,,,,,496,15666 -,,,,,,,497,16265 -,,,,,,,498,17292 -,,,,,,,499,17114 -,,,,,,,500,16521 -,,,,,,,501,15910 -,,,,,,,502,15120 -,,,,,,,503,14150 -,,,,,,,504,13200 -,,,,,,,505,12458 -,,,,,,,506,12050 -,,,,,,,507,11852 -,,,,,,,508,11767 -,,,,,,,509,11845 -,,,,,,,510,12167 -,,,,,,,511,12740 -,,,,,,,512,13365 -,,,,,,,513,14193 -,,,,,,,514,14704 -,,,,,,,515,14906 -,,,,,,,516,14902 -,,,,,,,517,14813 -,,,,,,,518,14701 -,,,,,,,519,14657 -,,,,,,,520,14683 -,,,,,,,521,15368 -,,,,,,,522,16390 -,,,,,,,523,16396 -,,,,,,,524,16097 -,,,,,,,525,15507 -,,,,,,,526,14535 -,,,,,,,527,13448 -,,,,,,,528,12346 -,,,,,,,529,11555 -,,,,,,,530,11150 -,,,,,,,531,10988 -,,,,,,,532,10997 -,,,,,,,533,11337 -,,,,,,,534,12375 -,,,,,,,535,14267 -,,,,,,,536,15329 -,,,,,,,537,15560 -,,,,,,,538,15688 -,,,,,,,539,15811 -,,,,,,,540,15787 -,,,,,,,541,15635 -,,,,,,,542,15529 -,,,,,,,543,15361 -,,,,,,,544,15368 -,,,,,,,545,16068 -,,,,,,,546,17090 -,,,,,,,547,16948 -,,,,,,,548,16411 -,,,,,,,549,15636 -,,,,,,,550,14499 -,,,,,,,551,13072 -,,,,,,,552,11781 -,,,,,,,553,10958 -,,,,,,,554,10438 -,,,,,,,555,10183 -,,,,,,,556,10118 -,,,,,,,557,10407 -,,,,,,,558,11367 -,,,,,,,559,13276 -,,,,,,,560,14330 -,,,,,,,561,14437 -,,,,,,,562,14377 -,,,,,,,563,14394 -,,,,,,,564,14334 -,,,,,,,565,14169 -,,,,,,,566,14062 -,,,,,,,567,13910 -,,,,,,,568,13922 -,,,,,,,569,14619 -,,,,,,,570,15901 -,,,,,,,571,15914 -,,,,,,,572,15535 -,,,,,,,573,14920 -,,,,,,,574,13900 -,,,,,,,575,12627 -,,,,,,,576,11435 -,,,,,,,577,10669 -,,,,,,,578,10283 -,,,,,,,579,10111 -,,,,,,,580,10120 -,,,,,,,581,10445 -,,,,,,,582,11498 -,,,,,,,583,13494 -,,,,,,,584,14608 -,,,,,,,585,14699 -,,,,,,,586,14783 -,,,,,,,587,14849 -,,,,,,,588,14811 -,,,,,,,589,14663 -,,,,,,,590,14583 -,,,,,,,591,14416 -,,,,,,,592,14393 -,,,,,,,593,15041 -,,,,,,,594,16457 -,,,,,,,595,16552 -,,,,,,,596,16175 -,,,,,,,597,15582 -,,,,,,,598,14519 -,,,,,,,599,13142 -,,,,,,,600,11922 -,,,,,,,601,11127 -,,,,,,,602,10720 -,,,,,,,603,10528 -,,,,,,,604,10520 -,,,,,,,605,10852 -,,,,,,,606,11863 -,,,,,,,607,13845 -,,,,,,,608,14905 -,,,,,,,609,14976 -,,,,,,,610,14931 -,,,,,,,611,14893 -,,,,,,,612,14795 -,,,,,,,613,14677 -,,,,,,,614,14665 -,,,,,,,615,14624 -,,,,,,,616,14737 -,,,,,,,617,15454 -,,,,,,,618,16580 -,,,,,,,619,16536 -,,,,,,,620,16155 -,,,,,,,621,15515 -,,,,,,,622,14490 -,,,,,,,623,13144 -,,,,,,,624,11939 -,,,,,,,625,11122 -,,,,,,,626,10655 -,,,,,,,627,10441 -,,,,,,,628,10365 -,,,,,,,629,10639 -,,,,,,,630,11577 -,,,,,,,631,13349 -,,,,,,,632,14550 -,,,,,,,633,14922 -,,,,,,,634,15165 -,,,,,,,635,15328 -,,,,,,,636,15380 -,,,,,,,637,15275 -,,,,,,,638,15154 -,,,,,,,639,14953 -,,,,,,,640,14885 -,,,,,,,641,15340 -,,,,,,,642,16003 -,,,,,,,643,15767 -,,,,,,,644,15236 -,,,,,,,645,14663 -,,,,,,,646,13889 -,,,,,,,647,12855 -,,,,,,,648,11809 -,,,,,,,649,10967 -,,,,,,,650,10460 -,,,,,,,651,10200 -,,,,,,,652,10104 -,,,,,,,653,10196 -,,,,,,,654,10623 -,,,,,,,655,11360 -,,,,,,,656,12147 -,,,,,,,657,12981 -,,,,,,,658,13515 -,,,,,,,659,13751 -,,,,,,,660,13619 -,,,,,,,661,13362 -,,,,,,,662,13013 -,,,,,,,663,12800 -,,,,,,,664,12804 -,,,,,,,665,13416 -,,,,,,,666,14704 -,,,,,,,667,14811 -,,,,,,,668,14378 -,,,,,,,669,13939 -,,,,,,,670,13268 -,,,,,,,671,12413 -,,,,,,,672,11501 -,,,,,,,673,10759 -,,,,,,,674,10315 -,,,,,,,675,10078 -,,,,,,,676,10001 -,,,,,,,677,10097 -,,,,,,,678,10398 -,,,,,,,679,10948 -,,,,,,,680,11503 -,,,,,,,681,12332 -,,,,,,,682,12895 -,,,,,,,683,13203 -,,,,,,,684,13311 -,,,,,,,685,13269 -,,,,,,,686,13134 -,,,,,,,687,12993 -,,,,,,,688,13049 -,,,,,,,689,13801 -,,,,,,,690,15331 -,,,,,,,691,15570 -,,,,,,,692,15202 -,,,,,,,693,14629 -,,,,,,,694,13705 -,,,,,,,695,12582 -,,,,,,,696,11539 -,,,,,,,697,10834 -,,,,,,,698,10485 -,,,,,,,699,10349 -,,,,,,,700,10390 -,,,,,,,701,10765 -,,,,,,,702,11827 -,,,,,,,703,13830 -,,,,,,,704,14902 -,,,,,,,705,15044 -,,,,,,,706,15171 -,,,,,,,707,15160 -,,,,,,,708,15093 -,,,,,,,709,14976 -,,,,,,,710,14864 -,,,,,,,711,14707 -,,,,,,,712,14759 -,,,,,,,713,15380 -,,,,,,,714,16843 -,,,,,,,715,17027 -,,,,,,,716,16625 -,,,,,,,717,16002 -,,,,,,,718,14909 -,,,,,,,719,13521 -,,,,,,,720,12274 -,,,,,,,721,11495 -,,,,,,,722,11069 -,,,,,,,723,10863 -,,,,,,,724,10844 -,,,,,,,725,11157 -,,,,,,,726,12167 -,,,,,,,727,14091 -,,,,,,,728,15157 -,,,,,,,729,15260 -,,,,,,,730,15244 -,,,,,,,731,15171 -,,,,,,,732,14997 -,,,,,,,733,14740 -,,,,,,,734,14532 -,,,,,,,735,14288 -,,,,,,,736,14205 -,,,,,,,737,14693 -,,,,,,,738,16059 -,,,,,,,739,16242 -,,,,,,,740,15852 -,,,,,,,741,15206 -,,,,,,,742,14178 -,,,,,,,743,12819 -,,,,,,,744,11609 -,,,,,,,745,10830 -,,,,,,,746,10401 -,,,,,,,747,10195 -,,,,,,,748,10196 -,,,,,,,749,10483 -,,,,,,,750,11511 -,,,,,,,751,13433 -,,,,,,,752,14543 -,,,,,,,753,14653 -,,,,,,,754,14663 -,,,,,,,755,14652 -,,,,,,,756,14622 -,,,,,,,757,14471 -,,,,,,,758,14332 -,,,,,,,759,14044 -,,,,,,,760,13923 -,,,,,,,761,14325 -,,,,,,,762,15598 -,,,,,,,763,15772 -,,,,,,,764,15385 -,,,,,,,765,14765 -,,,,,,,766,13761 -,,,,,,,767,12424 -,,,,,,,768,11239 -,,,,,,,769,10472 -,,,,,,,770,10077 -,,,,,,,771,9897 -,,,,,,,772,9912 -,,,,,,,773,10242 -,,,,,,,774,11308 -,,,,,,,775,13302 -,,,,,,,776,14359 -,,,,,,,777,14554 -,,,,,,,778,14687 -,,,,,,,779,14830 -,,,,,,,780,14862 -,,,,,,,781,14802 -,,,,,,,782,14777 -,,,,,,,783,14729 -,,,,,,,784,14863 -,,,,,,,785,15507 -,,,,,,,786,16466 -,,,,,,,787,16512 -,,,,,,,788,16134 -,,,,,,,789,15548 -,,,,,,,790,14540 -,,,,,,,791,13229 -,,,,,,,792,12054 -,,,,,,,793,11283 -,,,,,,,794,10872 -,,,,,,,795,10725 -,,,,,,,796,10746 -,,,,,,,797,11078 -,,,,,,,798,12152 -,,,,,,,799,14134 -,,,,,,,800,15110 -,,,,,,,801,15229 -,,,,,,,802,15193 -,,,,,,,803,15159 -,,,,,,,804,15011 -,,,,,,,805,14738 -,,,,,,,806,14553 -,,,,,,,807,14327 -,,,,,,,808,14253 -,,,,,,,809,14677 -,,,,,,,810,15851 -,,,,,,,811,16011 -,,,,,,,812,15615 -,,,,,,,813,15090 -,,,,,,,814,14306 -,,,,,,,815,13237 -,,,,,,,816,12085 -,,,,,,,817,11234 -,,,,,,,818,10764 -,,,,,,,819,10503 -,,,,,,,820,10402 -,,,,,,,821,10480 -,,,,,,,822,10860 -,,,,,,,823,11607 -,,,,,,,824,12374 -,,,,,,,825,13184 -,,,,,,,826,13678 -,,,,,,,827,13847 -,,,,,,,828,13741 -,,,,,,,829,13513 -,,,,,,,830,13228 -,,,,,,,831,13051 -,,,,,,,832,13066 -,,,,,,,833,13581 -,,,,,,,834,14892 -,,,,,,,835,15177 -,,,,,,,836,14827 -,,,,,,,837,14409 -,,,,,,,838,13771 -,,,,,,,839,12921 -,,,,,,,840,12028 -,,,,,,,841,11313 -,,,,,,,842,10907 -,,,,,,,843,10719 -,,,,,,,844,10666 -,,,,,,,845,10747 -,,,,,,,846,11061 -,,,,,,,847,11582 -,,,,,,,848,12220 -,,,,,,,849,13066 -,,,,,,,850,13608 -,,,,,,,851,13833 -,,,,,,,852,13909 -,,,,,,,853,13852 -,,,,,,,854,13656 -,,,,,,,855,13517 -,,,,,,,856,13592 -,,,,,,,857,14184 -,,,,,,,858,15456 -,,,,,,,859,15253 -,,,,,,,860,14510 -,,,,,,,861,14134 -,,,,,,,862,13524 -,,,,,,,863,13059 -,,,,,,,864,11988 -,,,,,,,865,11184 -,,,,,,,866,10805 -,,,,,,,867,10668 -,,,,,,,868,10705 -,,,,,,,869,11046 -,,,,,,,870,12082 -,,,,,,,871,13973 -,,,,,,,872,14914 -,,,,,,,873,15047 -,,,,,,,874,14967 -,,,,,,,875,14927 -,,,,,,,876,14794 -,,,,,,,877,14532 -,,,,,,,878,14329 -,,,,,,,879,14074 -,,,,,,,880,13969 -,,,,,,,881,14404 -,,,,,,,882,15775 -,,,,,,,883,16170 -,,,,,,,884,15769 -,,,,,,,885,15075 -,,,,,,,886,13995 -,,,,,,,887,12694 -,,,,,,,888,11511 -,,,,,,,889,10764 -,,,,,,,890,10373 -,,,,,,,891,10219 -,,,,,,,892,10239 -,,,,,,,893,10580 -,,,,,,,894,11655 -,,,,,,,895,13570 -,,,,,,,896,14529 -,,,,,,,897,14631 -,,,,,,,898,14640 -,,,,,,,899,14655 -,,,,,,,900,14607 -,,,,,,,901,14459 -,,,,,,,902,14349 -,,,,,,,903,14169 -,,,,,,,904,14180 -,,,,,,,905,14670 -,,,,,,,906,15963 -,,,,,,,907,16286 -,,,,,,,908,15958 -,,,,,,,909,15376 -,,,,,,,910,14378 -,,,,,,,911,13068 -,,,,,,,912,11940 -,,,,,,,913,11228 -,,,,,,,914,10889 -,,,,,,,915,10777 -,,,,,,,916,10846 -,,,,,,,917,11211 -,,,,,,,918,12341 -,,,,,,,919,14333 -,,,,,,,920,15300 -,,,,,,,921,15419 -,,,,,,,922,15341 -,,,,,,,923,15246 -,,,,,,,924,15074 -,,,,,,,925,14839 -,,,,,,,926,14714 -,,,,,,,927,14585 -,,,,,,,928,14724 -,,,,,,,929,15333 -,,,,,,,930,16519 -,,,,,,,931,16707 -,,,,,,,932,16289 -,,,,,,,933,15647 -,,,,,,,934,14586 -,,,,,,,935,13173 -,,,,,,,936,11978 -,,,,,,,937,11194 -,,,,,,,938,10799 -,,,,,,,939,10615 -,,,,,,,940,10627 -,,,,,,,941,10984 -,,,,,,,942,12097 -,,,,,,,943,14067 -,,,,,,,944,14975 -,,,,,,,945,14977 -,,,,,,,946,14856 -,,,,,,,947,14772 -,,,,,,,948,14608 -,,,,,,,949,14371 -,,,,,,,950,14219 -,,,,,,,951,13994 -,,,,,,,952,13956 -,,,,,,,953,14369 -,,,,,,,954,15663 -,,,,,,,955,16150 -,,,,,,,956,15855 -,,,,,,,957,15325 -,,,,,,,958,14379 -,,,,,,,959,13063 -,,,,,,,960,11920 -,,,,,,,961,11208 -,,,,,,,962,10837 -,,,,,,,963,10679 -,,,,,,,964,10710 -,,,,,,,965,11055 -,,,,,,,966,12095 -,,,,,,,967,13984 -,,,,,,,968,14936 -,,,,,,,969,14937 -,,,,,,,970,14774 -,,,,,,,971,14660 -,,,,,,,972,14471 -,,,,,,,973,14177 -,,,,,,,974,14010 -,,,,,,,975,13819 -,,,,,,,976,13756 -,,,,,,,977,14162 -,,,,,,,978,15292 -,,,,,,,979,15479 -,,,,,,,980,15038 -,,,,,,,981,14473 -,,,,,,,982,13688 -,,,,,,,983,12647 -,,,,,,,984,11606 -,,,,,,,985,10825 -,,,,,,,986,10388 -,,,,,,,987,10127 -,,,,,,,988,10032 -,,,,,,,989,10141 -,,,,,,,990,10544 -,,,,,,,991,11292 -,,,,,,,992,12114 -,,,,,,,993,13080 -,,,,,,,994,13826 -,,,,,,,995,14177 -,,,,,,,996,14228 -,,,,,,,997,14097 -,,,,,,,998,13893 -,,,,,,,999,13689 -,,,,,,,1000,13592 -,,,,,,,1001,14009 -,,,,,,,1002,15053 -,,,,,,,1003,15259 -,,,,,,,1004,14819 -,,,,,,,1005,14335 -,,,,,,,1006,13691 -,,,,,,,1007,12881 -,,,,,,,1008,12042 -,,,,,,,1009,11422 -,,,,,,,1010,11081 -,,,,,,,1011,10965 -,,,,,,,1012,10974 -,,,,,,,1013,11122 -,,,,,,,1014,11464 -,,,,,,,1015,12017 -,,,,,,,1016,12630 -,,,,,,,1017,13492 -,,,,,,,1018,14114 -,,,,,,,1019,14421 -,,,,,,,1020,14488 -,,,,,,,1021,14427 -,,,,,,,1022,14270 -,,,,,,,1023,14114 -,,,,,,,1024,14192 -,,,,,,,1025,14793 -,,,,,,,1026,16166 -,,,,,,,1027,16719 -,,,,,,,1028,16432 -,,,,,,,1029,15857 -,,,,,,,1030,14907 -,,,,,,,1031,13823 -,,,,,,,1032,12793 -,,,,,,,1033,12094 -,,,,,,,1034,11751 -,,,,,,,1035,11615 -,,,,,,,1036,11644 -,,,,,,,1037,11984 -,,,,,,,1038,13006 -,,,,,,,1039,14872 -,,,,,,,1040,15783 -,,,,,,,1041,15852 -,,,,,,,1042,15756 -,,,,,,,1043,15663 -,,,,,,,1044,15524 -,,,,,,,1045,15229 -,,,,,,,1046,15001 -,,,,,,,1047,14729 -,,,,,,,1048,14632 -,,,,,,,1049,14981 -,,,,,,,1050,16214 -,,,,,,,1051,16728 -,,,,,,,1052,16414 -,,,,,,,1053,15831 -,,,,,,,1054,14818 -,,,,,,,1055,13486 -,,,,,,,1056,12276 -,,,,,,,1057,11503 -,,,,,,,1058,11107 -,,,,,,,1059,10962 -,,,,,,,1060,10958 -,,,,,,,1061,11295 -,,,,,,,1062,12342 -,,,,,,,1063,14253 -,,,,,,,1064,15157 -,,,,,,,1065,15216 -,,,,,,,1066,15168 -,,,,,,,1067,15141 -,,,,,,,1068,15010 -,,,,,,,1069,14837 -,,,,,,,1070,14704 -,,,,,,,1071,14539 -,,,,,,,1072,14459 -,,,,,,,1073,14763 -,,,,,,,1074,15903 -,,,,,,,1075,16335 -,,,,,,,1076,15921 -,,,,,,,1077,15302 -,,,,,,,1078,14299 -,,,,,,,1079,12988 -,,,,,,,1080,11827 -,,,,,,,1081,11038 -,,,,,,,1082,10616 -,,,,,,,1083,10411 -,,,,,,,1084,10390 -,,,,,,,1085,10678 -,,,,,,,1086,11734 -,,,,,,,1087,13623 -,,,,,,,1088,14633 -,,,,,,,1089,14832 -,,,,,,,1090,14881 -,,,,,,,1091,14923 -,,,,,,,1092,14857 -,,,,,,,1093,14681 -,,,,,,,1094,14597 -,,,,,,,1095,14431 -,,,,,,,1096,14375 -,,,,,,,1097,14731 -,,,,,,,1098,15782 -,,,,,,,1099,16146 -,,,,,,,1100,15767 -,,,,,,,1101,15123 -,,,,,,,1102,14115 -,,,,,,,1103,12788 -,,,,,,,1104,11577 -,,,,,,,1105,10843 -,,,,,,,1106,10453 -,,,,,,,1107,10304 -,,,,,,,1108,10375 -,,,,,,,1109,10710 -,,,,,,,1110,11821 -,,,,,,,1111,13709 -,,,,,,,1112,14628 -,,,,,,,1113,14745 -,,,,,,,1114,14767 -,,,,,,,1115,14738 -,,,,,,,1116,14660 -,,,,,,,1117,14570 -,,,,,,,1118,14566 -,,,,,,,1119,14458 -,,,,,,,1120,14510 -,,,,,,,1121,15033 -,,,,,,,1122,16010 -,,,,,,,1123,16218 -,,,,,,,1124,15813 -,,,,,,,1125,15185 -,,,,,,,1126,14170 -,,,,,,,1127,12834 -,,,,,,,1128,11641 -,,,,,,,1129,10823 -,,,,,,,1130,10357 -,,,,,,,1131,10110 -,,,,,,,1132,10070 -,,,,,,,1133,10331 -,,,,,,,1134,11292 -,,,,,,,1135,13068 -,,,,,,,1136,14126 -,,,,,,,1137,14425 -,,,,,,,1138,14502 -,,,,,,,1139,14523 -,,,,,,,1140,14412 -,,,,,,,1141,14167 -,,,,,,,1142,13995 -,,,,,,,1143,13760 -,,,,,,,1144,13635 -,,,,,,,1145,13873 -,,,,,,,1146,14820 -,,,,,,,1147,15260 -,,,,,,,1148,14881 -,,,,,,,1149,14378 -,,,,,,,1150,13662 -,,,,,,,1151,12659 -,,,,,,,1152,11616 -,,,,,,,1153,10844 -,,,,,,,1154,10407 -,,,,,,,1155,10202 -,,,,,,,1156,10116 -,,,,,,,1157,10221 -,,,,,,,1158,10654 -,,,,,,,1159,11334 -,,,,,,,1160,12068 -,,,,,,,1161,12874 -,,,,,,,1162,13335 -,,,,,,,1163,13473 -,,,,,,,1164,13362 -,,,,,,,1165,13100 -,,,,,,,1166,12779 -,,,,,,,1167,12578 -,,,,,,,1168,12591 -,,,,,,,1169,13018 -,,,,,,,1170,14075 -,,,,,,,1171,14508 -,,,,,,,1172,14127 -,,,,,,,1173,13686 -,,,,,,,1174,13054 -,,,,,,,1175,12202 -,,,,,,,1176,11334 -,,,,,,,1177,10649 -,,,,,,,1178,10252 -,,,,,,,1179,10037 -,,,,,,,1180,9970 -,,,,,,,1181,10053 -,,,,,,,1182,10370 -,,,,,,,1183,10819 -,,,,,,,1184,11392 -,,,,,,,1185,12141 -,,,,,,,1186,12655 -,,,,,,,1187,12846 -,,,,,,,1188,12873 -,,,,,,,1189,12731 -,,,,,,,1190,12486 -,,,,,,,1191,12264 -,,,,,,,1192,12244 -,,,,,,,1193,12680 -,,,,,,,1194,13898 -,,,,,,,1195,14638 -,,,,,,,1196,14327 -,,,,,,,1197,13872 -,,,,,,,1198,13154 -,,,,,,,1199,12257 -,,,,,,,1200,11381 -,,,,,,,1201,10794 -,,,,,,,1202,10450 -,,,,,,,1203,10252 -,,,,,,,1204,10285 -,,,,,,,1205,10562 -,,,,,,,1206,11320 -,,,,,,,1207,12433 -,,,,,,,1208,13291 -,,,,,,,1209,13975 -,,,,,,,1210,14403 -,,,,,,,1211,14593 -,,,,,,,1212,14543 -,,,,,,,1213,14308 -,,,,,,,1214,14052 -,,,,,,,1215,13847 -,,,,,,,1216,13787 -,,,,,,,1217,14205 -,,,,,,,1218,15445 -,,,,,,,1219,16093 -,,,,,,,1220,15698 -,,,,,,,1221,15093 -,,,,,,,1222,14165 -,,,,,,,1223,12979 -,,,,,,,1224,11904 -,,,,,,,1225,11216 -,,,,,,,1226,10863 -,,,,,,,1227,10728 -,,,,,,,1228,10785 -,,,,,,,1229,11135 -,,,,,,,1230,12145 -,,,,,,,1231,13723 -,,,,,,,1232,14633 -,,,,,,,1233,14917 -,,,,,,,1234,14902 -,,,,,,,1235,14866 -,,,,,,,1236,14718 -,,,,,,,1237,14490 -,,,,,,,1238,14376 -,,,,,,,1239,14274 -,,,,,,,1240,14279 -,,,,,,,1241,14699 -,,,,,,,1242,15815 -,,,,,,,1243,16235 -,,,,,,,1244,15779 -,,,,,,,1245,15073 -,,,,,,,1246,14056 -,,,,,,,1247,12751 -,,,,,,,1248,11593 -,,,,,,,1249,10805 -,,,,,,,1250,10357 -,,,,,,,1251,10162 -,,,,,,,1252,10131 -,,,,,,,1253,10426 -,,,,,,,1254,11363 -,,,,,,,1255,12864 -,,,,,,,1256,13839 -,,,,,,,1257,14149 -,,,,,,,1258,14179 -,,,,,,,1259,14225 -,,,,,,,1260,14149 -,,,,,,,1261,13945 -,,,,,,,1262,13805 -,,,,,,,1263,13593 -,,,,,,,1264,13464 -,,,,,,,1265,13731 -,,,,,,,1266,14761 -,,,,,,,1267,15384 -,,,,,,,1268,15018 -,,,,,,,1269,14435 -,,,,,,,1270,13519 -,,,,,,,1271,12282 -,,,,,,,1272,11157 -,,,,,,,1273,10384 -,,,,,,,1274,9952 -,,,,,,,1275,9723 -,,,,,,,1276,9697 -,,,,,,,1277,9954 -,,,,,,,1278,10880 -,,,,,,,1279,12433 -,,,,,,,1280,13438 -,,,,,,,1281,13878 -,,,,,,,1282,14112 -,,,,,,,1283,14192 -,,,,,,,1284,14183 -,,,,,,,1285,14044 -,,,,,,,1286,13894 -,,,,,,,1287,13724 -,,,,,,,1288,13566 -,,,,,,,1289,13751 -,,,,,,,1290,14724 -,,,,,,,1291,15408 -,,,,,,,1292,15101 -,,,,,,,1293,14528 -,,,,,,,1294,13633 -,,,,,,,1295,12430 -,,,,,,,1296,11343 -,,,,,,,1297,10602 -,,,,,,,1298,10176 -,,,,,,,1299,9980 -,,,,,,,1300,9992 -,,,,,,,1301,10281 -,,,,,,,1302,11177 -,,,,,,,1303,12671 -,,,,,,,1304,13796 -,,,,,,,1305,14485 -,,,,,,,1306,14847 -,,,,,,,1307,15091 -,,,,,,,1308,15170 -,,,,,,,1309,15077 -,,,,,,,1310,15022 -,,,,,,,1311,14915 -,,,,,,,1312,14850 -,,,,,,,1313,15128 -,,,,,,,1314,15743 -,,,,,,,1315,15778 -,,,,,,,1316,15279 -,,,,,,,1317,14631 -,,,,,,,1318,13778 -,,,,,,,1319,12697 -,,,,,,,1320,11628 -,,,,,,,1321,10837 -,,,,,,,1322,10362 -,,,,,,,1323,10109 -,,,,,,,1324,10016 -,,,,,,,1325,10140 -,,,,,,,1326,10536 -,,,,,,,1327,11130 -,,,,,,,1328,11824 -,,,,,,,1329,12660 -,,,,,,,1330,13306 -,,,,,,,1331,13625 -,,,,,,,1332,13632 -,,,,,,,1333,13487 -,,,,,,,1334,13249 -,,,,,,,1335,13074 -,,,,,,,1336,13046 -,,,,,,,1337,13396 -,,,,,,,1338,14357 -,,,,,,,1339,15014 -,,,,,,,1340,14683 -,,,,,,,1341,14213 -,,,,,,,1342,13583 -,,,,,,,1343,12687 -,,,,,,,1344,11827 -,,,,,,,1345,11177 -,,,,,,,1346,10756 -,,,,,,,1347,10540 -,,,,,,,1348,10494 -,,,,,,,1349,10580 -,,,,,,,1350,10899 -,,,,,,,1351,11299 -,,,,,,,1352,11848 -,,,,,,,1353,12635 -,,,,,,,1354,13137 -,,,,,,,1355,13382 -,,,,,,,1356,13454 -,,,,,,,1357,13382 -,,,,,,,1358,13131 -,,,,,,,1359,12868 -,,,,,,,1360,12844 -,,,,,,,1361,13260 -,,,,,,,1362,14359 -,,,,,,,1363,15378 -,,,,,,,1364,15102 -,,,,,,,1365,14540 -,,,,,,,1366,13676 -,,,,,,,1367,12602 -,,,,,,,1368,11647 -,,,,,,,1369,11026 -,,,,,,,1370,10717 -,,,,,,,1371,10611 -,,,,,,,1372,10675 -,,,,,,,1373,11070 -,,,,,,,1374,12173 -,,,,,,,1375,13898 -,,,,,,,1376,14818 -,,,,,,,1377,14917 -,,,,,,,1378,14865 -,,,,,,,1379,14802 -,,,,,,,1380,14677 -,,,,,,,1381,14513 -,,,,,,,1382,14389 -,,,,,,,1383,14203 -,,,,,,,1384,14193 -,,,,,,,1385,14618 -,,,,,,,1386,15582 -,,,,,,,1387,16108 -,,,,,,,1388,15693 -,,,,,,,1389,14967 -,,,,,,,1390,13918 -,,,,,,,1391,12618 -,,,,,,,1392,11437 -,,,,,,,1393,10693 -,,,,,,,1394,10281 -,,,,,,,1395,10105 -,,,,,,,1396,10104 -,,,,,,,1397,10429 -,,,,,,,1398,11507 -,,,,,,,1399,13210 -,,,,,,,1400,14121 -,,,,,,,1401,14307 -,,,,,,,1402,14365 -,,,,,,,1403,14349 -,,,,,,,1404,14245 -,,,,,,,1405,14041 -,,,,,,,1406,13917 -,,,,,,,1407,13735 -,,,,,,,1408,13654 -,,,,,,,1409,13940 -,,,,,,,1410,14956 -,,,,,,,1411,15877 -,,,,,,,1412,16385 -,,,,,,,1413,15638 -,,,,,,,1414,14525 -,,,,,,,1415,13168 -,,,,,,,1416,11983 -,,,,,,,1417,11198 -,,,,,,,1418,10813 -,,,,,,,1419,10618 -,,,,,,,1420,10620 -,,,,,,,1421,10910 -,,,,,,,1422,11871 -,,,,,,,1423,13498 -,,,,,,,1424,14538 -,,,,,,,1425,14997 -,,,,,,,1426,15288 -,,,,,,,1427,15541 -,,,,,,,1428,15627 -,,,,,,,1429,15582 -,,,,,,,1430,15500 -,,,,,,,1431,15379 -,,,,,,,1432,15336 -,,,,,,,1433,15629 -,,,,,,,1434,16387 -,,,,,,,1435,16874 -,,,,,,,1436,16501 -,,,,,,,1437,15849 -,,,,,,,1438,14811 -,,,,,,,1439,13475 -,,,,,,,1440,12287 -,,,,,,,1441,11546 -,,,,,,,1442,11140 -,,,,,,,1443,10924 -,,,,,,,1444,10939 -,,,,,,,1445,11238 -,,,,,,,1446,12279 -,,,,,,,1447,13944 -,,,,,,,1448,14943 -,,,,,,,1449,15242 -,,,,,,,1450,15322 -,,,,,,,1451,15377 -,,,,,,,1452,15287 -,,,,,,,1453,15120 -,,,,,,,1454,15032 -,,,,,,,1455,14856 -,,,,,,,1456,14784 -,,,,,,,1457,15062 -,,,,,,,1458,15755 -,,,,,,,1459,16084 -,,,,,,,1460,15665 -,,,,,,,1461,15076 -,,,,,,,1462,14269 -,,,,,,,1463,13199 -,,,,,,,1464,12110 -,,,,,,,1465,11349 -,,,,,,,1466,10884 -,,,,,,,1467,10591 -,,,,,,,1468,10437 -,,,,,,,1469,10480 -,,,,,,,1470,10827 -,,,,,,,1471,11455 -,,,,,,,1472,12225 -,,,,,,,1473,13167 -,,,,,,,1474,13862 -,,,,,,,1475,14178 -,,,,,,,1476,14243 -,,,,,,,1477,14034 -,,,,,,,1478,13627 -,,,,,,,1479,13213 -,,,,,,,1480,12943 -,,,,,,,1481,12995 -,,,,,,,1482,13670 -,,,,,,,1483,14535 -,,,,,,,1484,14213 -,,,,,,,1485,13767 -,,,,,,,1486,13084 -,,,,,,,1487,12231 -,,,,,,,1488,11343 -,,,,,,,1489,10632 -,,,,,,,1490,10198 -,,,,,,,1491,9956 -,,,,,,,1492,9857 -,,,,,,,1493,9932 -,,,,,,,1494,10204 -,,,,,,,1495,10639 -,,,,,,,1496,11263 -,,,,,,,1497,12169 -,,,,,,,1498,12883 -,,,,,,,1499,13200 -,,,,,,,1500,13320 -,,,,,,,1501,13293 -,,,,,,,1502,13090 -,,,,,,,1503,12962 -,,,,,,,1504,12965 -,,,,,,,1505,13284 -,,,,,,,1506,14182 -,,,,,,,1507,15162 -,,,,,,,1508,14925 -,,,,,,,1509,14357 -,,,,,,,1510,13446 -,,,,,,,1511,12339 -,,,,,,,1512,11366 -,,,,,,,1513,10739 -,,,,,,,1514,10452 -,,,,,,,1515,10354 -,,,,,,,1516,10429 -,,,,,,,1517,10834 -,,,,,,,1518,11965 -,,,,,,,1519,13695 -,,,,,,,1520,14658 -,,,,,,,1521,14852 -,,,,,,,1522,14890 -,,,,,,,1523,14909 -,,,,,,,1524,14813 -,,,,,,,1525,14591 -,,,,,,,1526,14429 -,,,,,,,1527,14187 -,,,,,,,1528,14127 -,,,,,,,1529,14447 -,,,,,,,1530,15421 -,,,,,,,1531,16516 -,,,,,,,1532,16293 -,,,,,,,1533,15711 -,,,,,,,1534,14726 -,,,,,,,1535,13426 -,,,,,,,1536,12309 -,,,,,,,1537,11607 -,,,,,,,1538,11297 -,,,,,,,1539,11179 -,,,,,,,1540,11231 -,,,,,,,1541,11610 -,,,,,,,1542,12718 -,,,,,,,1543,14404 -,,,,,,,1544,15298 -,,,,,,,1545,15379 -,,,,,,,1546,15216 -,,,,,,,1547,15145 -,,,,,,,1548,15025 -,,,,,,,1549,14753 -,,,,,,,1550,14583 -,,,,,,,1551,14340 -,,,,,,,1552,14158 -,,,,,,,1553,14421 -,,,,,,,1554,15238 -,,,,,,,1555,16297 -,,,,,,,1556,16136 -,,,,,,,1557,15584 -,,,,,,,1558,14570 -,,,,,,,1559,13208 -,,,,,,,1560,11996 -,,,,,,,1561,11247 -,,,,,,,1562,10867 -,,,,,,,1563,10666 -,,,,,,,1564,10672 -,,,,,,,1565,10971 -,,,,,,,1566,12042 -,,,,,,,1567,13652 -,,,,,,,1568,14455 -,,,,,,,1569,14482 -,,,,,,,1570,14385 -,,,,,,,1571,14300 -,,,,,,,1572,14131 -,,,,,,,1573,13922 -,,,,,,,1574,13802 -,,,,,,,1575,13551 -,,,,,,,1576,13428 -,,,,,,,1577,13613 -,,,,,,,1578,14374 -,,,,,,,1579,15363 -,,,,,,,1580,15131 -,,,,,,,1581,14545 -,,,,,,,1582,13533 -,,,,,,,1583,12214 -,,,,,,,1584,11006 -,,,,,,,1585,10276 -,,,,,,,1586,9878 -,,,,,,,1587,9675 -,,,,,,,1588,9630 -,,,,,,,1589,9922 -,,,,,,,1590,10941 -,,,,,,,1591,12474 -,,,,,,,1592,13426 -,,,,,,,1593,13637 -,,,,,,,1594,13709 -,,,,,,,1595,13759 -,,,,,,,1596,13745 -,,,,,,,1597,13615 -,,,,,,,1598,13553 -,,,,,,,1599,13400 -,,,,,,,1600,13307 -,,,,,,,1601,13471 -,,,,,,,1602,14184 -,,,,,,,1603,14956 -,,,,,,,1604,14681 -,,,,,,,1605,14063 -,,,,,,,1606,13066 -,,,,,,,1607,11743 -,,,,,,,1608,10589 -,,,,,,,1609,9839 -,,,,,,,1610,9450 -,,,,,,,1611,9252 -,,,,,,,1612,9213 -,,,,,,,1613,9511 -,,,,,,,1614,10527 -,,,,,,,1615,12266 -,,,,,,,1616,13428 -,,,,,,,1617,13797 -,,,,,,,1618,13931 -,,,,,,,1619,13994 -,,,,,,,1620,13918 -,,,,,,,1621,13720 -,,,,,,,1622,13594 -,,,,,,,1623,13402 -,,,,,,,1624,13332 -,,,,,,,1625,13495 -,,,,,,,1626,14065 -,,,,,,,1627,14906 -,,,,,,,1628,14653 -,,,,,,,1629,14168 -,,,,,,,1630,13443 -,,,,,,,1631,12424 -,,,,,,,1632,11384 -,,,,,,,1633,10661 -,,,,,,,1634,10294 -,,,,,,,1635,10111 -,,,,,,,1636,10071 -,,,,,,,1637,10216 -,,,,,,,1638,10643 -,,,,,,,1639,11242 -,,,,,,,1640,12129 -,,,,,,,1641,12970 -,,,,,,,1642,13494 -,,,,,,,1643,13606 -,,,,,,,1644,13504 -,,,,,,,1645,13264 -,,,,,,,1646,12968 -,,,,,,,1647,12712 -,,,,,,,1648,12615 -,,,,,,,1649,12811 -,,,,,,,1650,13439 -,,,,,,,1651,14428 -,,,,,,,1652,14238 -,,,,,,,1653,13845 -,,,,,,,1654,13205 -,,,,,,,1655,12323 -,,,,,,,1656,11456 -,,,,,,,1657,10794 -,,,,,,,1658,10595 -,,,,,,,1659,10398 -,,,,,,,1660,10194 -,,,,,,,1661,10149 -,,,,,,,1662,10307 -,,,,,,,1663,10681 -,,,,,,,1664,11104 -,,,,,,,1665,11741 -,,,,,,,1666,12319 -,,,,,,,1667,12620 -,,,,,,,1668,12696 -,,,,,,,1669,12608 -,,,,,,,1670,12355 -,,,,,,,1671,12047 -,,,,,,,1672,11855 -,,,,,,,1673,11908 -,,,,,,,1674,12255 -,,,,,,,1675,12855 -,,,,,,,1676,13924 -,,,,,,,1677,13709 -,,,,,,,1678,12876 -,,,,,,,1679,11803 -,,,,,,,1680,10682 -,,,,,,,1681,9979 -,,,,,,,1682,9570 -,,,,,,,1683,9416 -,,,,,,,1684,9437 -,,,,,,,1685,9718 -,,,,,,,1686,10728 -,,,,,,,1687,12633 -,,,,,,,1688,13736 -,,,,,,,1689,13885 -,,,,,,,1690,13831 -,,,,,,,1691,13878 -,,,,,,,1692,13847 -,,,,,,,1693,13704 -,,,,,,,1694,13615 -,,,,,,,1695,13406 -,,,,,,,1696,13213 -,,,,,,,1697,13161 -,,,,,,,1698,13333 -,,,,,,,1699,13780 -,,,,,,,1700,14504 -,,,,,,,1701,14070 -,,,,,,,1702,13052 -,,,,,,,1703,11741 -,,,,,,,1704,10528 -,,,,,,,1705,9702 -,,,,,,,1706,9229 -,,,,,,,1707,9004 -,,,,,,,1708,8951 -,,,,,,,1709,9188 -,,,,,,,1710,10087 -,,,,,,,1711,11929 -,,,,,,,1712,13166 -,,,,,,,1713,13504 -,,,,,,,1714,13632 -,,,,,,,1715,13724 -,,,,,,,1716,13742 -,,,,,,,1717,13665 -,,,,,,,1718,13641 -,,,,,,,1719,13501 -,,,,,,,1720,13366 -,,,,,,,1721,13376 -,,,,,,,1722,13524 -,,,,,,,1723,13736 -,,,,,,,1724,14401 -,,,,,,,1725,14006 -,,,,,,,1726,13006 -,,,,,,,1727,11658 -,,,,,,,1728,10416 -,,,,,,,1729,9584 -,,,,,,,1730,9135 -,,,,,,,1731,8906 -,,,,,,,1732,8897 -,,,,,,,1733,9107 -,,,,,,,1734,10028 -,,,,,,,1735,11888 -,,,,,,,1736,13034 -,,,,,,,1737,13300 -,,,,,,,1738,13456 -,,,,,,,1739,13579 -,,,,,,,1740,13602 -,,,,,,,1741,13479 -,,,,,,,1742,13451 -,,,,,,,1743,13307 -,,,,,,,1744,13204 -,,,,,,,1745,13304 -,,,,,,,1746,13618 -,,,,,,,1747,13948 -,,,,,,,1748,14459 -,,,,,,,1749,14089 -,,,,,,,1750,13154 -,,,,,,,1751,11846 -,,,,,,,1752,10646 -,,,,,,,1753,9876 -,,,,,,,1754,9450 -,,,,,,,1755,9242 -,,,,,,,1756,9226 -,,,,,,,1757,9484 -,,,,,,,1758,10452 -,,,,,,,1759,12366 -,,,,,,,1760,13578 -,,,,,,,1761,13857 -,,,,,,,1762,13984 -,,,,,,,1763,14096 -,,,,,,,1764,14034 -,,,,,,,1765,13859 -,,,,,,,1766,13740 -,,,,,,,1767,13486 -,,,,,,,1768,13352 -,,,,,,,1769,13445 -,,,,,,,1770,13785 -,,,,,,,1771,14239 -,,,,,,,1772,14828 -,,,,,,,1773,14449 -,,,,,,,1774,13582 -,,,,,,,1775,12289 -,,,,,,,1776,11074 -,,,,,,,1777,10258 -,,,,,,,1778,9800 -,,,,,,,1779,9605 -,,,,,,,1780,9554 -,,,,,,,1781,9797 -,,,,,,,1782,10724 -,,,,,,,1783,12543 -,,,,,,,1784,13670 -,,,,,,,1785,14017 -,,,,,,,1786,14196 -,,,,,,,1787,14357 -,,,,,,,1788,14381 -,,,,,,,1789,14278 -,,,,,,,1790,14220 -,,,,,,,1791,14046 -,,,,,,,1792,13906 -,,,,,,,1793,13869 -,,,,,,,1794,13914 -,,,,,,,1795,14039 -,,,,,,,1796,14384 -,,,,,,,1797,13995 -,,,,,,,1798,13269 -,,,,,,,1799,12233 -,,,,,,,1800,11115 -,,,,,,,1801,10252 -,,,,,,,1802,9724 -,,,,,,,1803,9450 -,,,,,,,1804,9321 -,,,,,,,1805,9382 -,,,,,,,1806,9712 -,,,,,,,1807,10376 -,,,,,,,1808,11140 -,,,,,,,1809,12082 -,,,,,,,1810,12717 -,,,,,,,1811,13010 -,,,,,,,1812,12972 -,,,,,,,1813,12740 -,,,,,,,1814,12441 -,,,,,,,1815,12134 -,,,,,,,1816,11878 -,,,,,,,1817,11823 -,,,,,,,1818,11871 -,,,,,,,1819,12097 -,,,,,,,1820,12883 -,,,,,,,1821,12784 -,,,,,,,1822,12241 -,,,,,,,1823,11451 -,,,,,,,1824,10565 -,,,,,,,1825,9847 -,,,,,,,1826,9407 -,,,,,,,1827,9179 -,,,,,,,1828,9062 -,,,,,,,1829,9092 -,,,,,,,1830,9321 -,,,,,,,1831,9779 -,,,,,,,1832,10306 -,,,,,,,1833,11104 -,,,,,,,1834,11755 -,,,,,,,1835,12030 -,,,,,,,1836,12081 -,,,,,,,1837,11954 -,,,,,,,1838,11726 -,,,,,,,1839,11531 -,,,,,,,1840,11422 -,,,,,,,1841,11572 -,,,,,,,1842,11864 -,,,,,,,1843,12248 -,,,,,,,1844,13251 -,,,,,,,1845,13071 -,,,,,,,1846,12169 -,,,,,,,1847,11016 -,,,,,,,1848,9966 -,,,,,,,1849,9225 -,,,,,,,1850,8844 -,,,,,,,1851,8669 -,,,,,,,1852,8667 -,,,,,,,1853,8965 -,,,,,,,1854,9966 -,,,,,,,1855,11832 -,,,,,,,1856,12921 -,,,,,,,1857,13228 -,,,,,,,1858,13403 -,,,,,,,1859,13623 -,,,,,,,1860,13736 -,,,,,,,1861,13742 -,,,,,,,1862,13793 -,,,,,,,1863,13686 -,,,,,,,1864,13527 -,,,,,,,1865,13423 -,,,,,,,1866,13420 -,,,,,,,1867,13523 -,,,,,,,1868,14267 -,,,,,,,1869,13940 -,,,,,,,1870,12872 -,,,,,,,1871,11495 -,,,,,,,1872,10269 -,,,,,,,1873,9466 -,,,,,,,1874,9050 -,,,,,,,1875,8857 -,,,,,,,1876,8798 -,,,,,,,1877,9076 -,,,,,,,1878,10007 -,,,,,,,1879,11825 -,,,,,,,1880,12880 -,,,,,,,1881,13139 -,,,,,,,1882,13273 -,,,,,,,1883,13463 -,,,,,,,1884,13582 -,,,,,,,1885,13637 -,,,,,,,1886,13744 -,,,,,,,1887,13707 -,,,,,,,1888,13642 -,,,,,,,1889,13633 -,,,,,,,1890,13667 -,,,,,,,1891,13685 -,,,,,,,1892,14409 -,,,,,,,1893,14170 -,,,,,,,1894,13140 -,,,,,,,1895,11716 -,,,,,,,1896,10483 -,,,,,,,1897,9639 -,,,,,,,1898,9192 -,,,,,,,1899,8934 -,,,,,,,1900,8868 -,,,,,,,1901,9100 -,,,,,,,1902,9982 -,,,,,,,1903,11785 -,,,,,,,1904,12848 -,,,,,,,1905,13267 -,,,,,,,1906,13525 -,,,,,,,1907,13806 -,,,,,,,1908,13981 -,,,,,,,1909,14027 -,,,,,,,1910,14108 -,,,,,,,1911,14065 -,,,,,,,1912,13995 -,,,,,,,1913,13959 -,,,,,,,1914,13956 -,,,,,,,1915,13904 -,,,,,,,1916,14567 -,,,,,,,1917,14319 -,,,,,,,1918,13309 -,,,,,,,1919,11918 -,,,,,,,1920,10628 -,,,,,,,1921,9846 -,,,,,,,1922,9328 -,,,,,,,1923,9070 -,,,,,,,1924,8979 -,,,,,,,1925,9179 -,,,,,,,1926,10041 -,,,,,,,1927,11825 -,,,,,,,1928,12893 -,,,,,,,1929,13321 -,,,,,,,1930,13652 -,,,,,,,1931,13989 -,,,,,,,1932,14172 -,,,,,,,1933,14220 -,,,,,,,1934,14382 -,,,,,,,1935,14378 -,,,,,,,1936,14356 -,,,,,,,1937,14332 -,,,,,,,1938,14274 -,,,,,,,1939,14125 -,,,,,,,1940,14736 -,,,,,,,1941,14531 -,,,,,,,1942,13541 -,,,,,,,1943,12105 -,,,,,,,1944,10834 -,,,,,,,1945,10013 -,,,,,,,1946,9503 -,,,,,,,1947,9187 -,,,,,,,1948,9086 -,,,,,,,1949,9279 -,,,,,,,1950,10090 -,,,,,,,1951,11776 -,,,,,,,1952,12853 -,,,,,,,1953,13274 -,,,,,,,1954,13551 -,,,,,,,1955,13791 -,,,,,,,1956,13857 -,,,,,,,1957,13748 -,,,,,,,1958,13781 -,,,,,,,1959,13655 -,,,,,,,1960,13491 -,,,,,,,1961,13401 -,,,,,,,1962,13254 -,,,,,,,1963,12993 -,,,,,,,1964,13536 -,,,,,,,1965,13286 -,,,,,,,1966,12517 -,,,,,,,1967,11478 -,,,,,,,1968,10381 -,,,,,,,1969,9549 -,,,,,,,1970,9030 -,,,,,,,1971,8735 -,,,,,,,1972,8579 -,,,,,,,1973,8592 -,,,,,,,1974,8880 -,,,,,,,1975,9470 -,,,,,,,1976,10176 -,,,,,,,1977,11146 -,,,,,,,1978,11838 -,,,,,,,1979,12142 -,,,,,,,1980,12199 -,,,,,,,1981,12062 -,,,,,,,1982,11820 -,,,,,,,1983,11624 -,,,,,,,1984,11531 -,,,,,,,1985,11611 -,,,,,,,1986,11905 -,,,,,,,1987,12204 -,,,,,,,1988,12690 -,,,,,,,1989,12458 -,,,,,,,1990,11820 -,,,,,,,1991,10962 -,,,,,,,1992,10076 -,,,,,,,1993,9344 -,,,,,,,1994,8859 -,,,,,,,1995,8615 -,,,,,,,1996,8495 -,,,,,,,1997,8517 -,,,,,,,1998,8710 -,,,,,,,1999,9166 -,,,,,,,2000,9784 -,,,,,,,2001,10760 -,,,,,,,2002,11602 -,,,,,,,2003,12129 -,,,,,,,2004,12438 -,,,,,,,2005,12543 -,,,,,,,2006,12419 -,,,,,,,2007,12279 -,,,,,,,2008,12184 -,,,,,,,2009,12357 -,,,,,,,2010,12702 -,,,,,,,2011,12990 -,,,,,,,2012,13530 -,,,,,,,2013,13255 -,,,,,,,2014,12332 -,,,,,,,2015,11219 -,,,,,,,2016,10187 -,,,,,,,2017,9465 -,,,,,,,2018,9078 -,,,,,,,2019,8919 -,,,,,,,2020,8932 -,,,,,,,2021,9251 -,,,,,,,2022,10271 -,,,,,,,2023,12169 -,,,,,,,2024,13279 -,,,,,,,2025,13661 -,,,,,,,2026,13818 -,,,,,,,2027,13896 -,,,,,,,2028,13835 -,,,,,,,2029,13689 -,,,,,,,2030,13608 -,,,,,,,2031,13408 -,,,,,,,2032,13305 -,,,,,,,2033,13406 -,,,,,,,2034,13767 -,,,,,,,2035,14132 -,,,,,,,2036,15011 -,,,,,,,2037,14892 -,,,,,,,2038,14001 -,,,,,,,2039,12702 -,,,,,,,2040,11546 -,,,,,,,2041,10809 -,,,,,,,2042,10450 -,,,,,,,2043,10298 -,,,,,,,2044,10317 -,,,,,,,2045,10649 -,,,,,,,2046,11680 -,,,,,,,2047,13538 -,,,,,,,2048,14560 -,,,,,,,2049,14675 -,,,,,,,2050,14638 -,,,,,,,2051,14597 -,,,,,,,2052,14500 -,,,,,,,2053,14291 -,,,,,,,2054,14088 -,,,,,,,2055,13789 -,,,,,,,2056,13587 -,,,,,,,2057,13567 -,,,,,,,2058,13757 -,,,,,,,2059,13965 -,,,,,,,2060,14811 -,,,,,,,2061,14743 -,,,,,,,2062,13841 -,,,,,,,2063,12516 -,,,,,,,2064,11304 -,,,,,,,2065,10549 -,,,,,,,2066,10128 -,,,,,,,2067,9932 -,,,,,,,2068,9868 -,,,,,,,2069,10137 -,,,,,,,2070,11111 -,,,,,,,2071,12943 -,,,,,,,2072,14006 -,,,,,,,2073,14207 -,,,,,,,2074,14232 -,,,,,,,2075,14320 -,,,,,,,2076,14333 -,,,,,,,2077,14265 -,,,,,,,2078,14226 -,,,,,,,2079,13956 -,,,,,,,2080,13727 -,,,,,,,2081,13760 -,,,,,,,2082,13917 -,,,,,,,2083,14071 -,,,,,,,2084,14606 -,,,,,,,2085,14350 -,,,,,,,2086,13387 -,,,,,,,2087,12001 -,,,,,,,2088,10781 -,,,,,,,2089,9979 -,,,,,,,2090,9565 -,,,,,,,2091,9357 -,,,,,,,2092,9322 -,,,,,,,2093,9601 -,,,,,,,2094,10562 -,,,,,,,2095,12401 -,,,,,,,2096,13475 -,,,,,,,2097,13781 -,,,,,,,2098,13989 -,,,,,,,2099,14150 -,,,,,,,2100,14174 -,,,,,,,2101,14079 -,,,,,,,2102,14009 -,,,,,,,2103,13787 -,,,,,,,2104,13704 -,,,,,,,2105,13813 -,,,,,,,2106,14063 -,,,,,,,2107,14314 -,,,,,,,2108,14802 -,,,,,,,2109,14525 -,,,,,,,2110,13593 -,,,,,,,2111,12245 -,,,,,,,2112,11070 -,,,,,,,2113,10307 -,,,,,,,2114,9901 -,,,,,,,2115,9721 -,,,,,,,2116,9686 -,,,,,,,2117,9984 -,,,,,,,2118,10956 -,,,,,,,2119,12685 -,,,,,,,2120,13676 -,,,,,,,2121,13857 -,,,,,,,2122,13889 -,,,,,,,2123,13917 -,,,,,,,2124,13811 -,,,,,,,2125,13574 -,,,,,,,2126,13429 -,,,,,,,2127,13160 -,,,,,,,2128,12914 -,,,,,,,2129,12816 -,,,,,,,2130,12807 -,,,,,,,2131,12886 -,,,,,,,2132,13599 -,,,,,,,2133,13595 -,,,,,,,2134,12978 -,,,,,,,2135,11995 -,,,,,,,2136,10921 -,,,,,,,2137,10077 -,,,,,,,2138,9615 -,,,,,,,2139,9378 -,,,,,,,2140,9307 -,,,,,,,2141,9383 -,,,,,,,2142,9735 -,,,,,,,2143,10376 -,,,,,,,2144,11274 -,,,,,,,2145,12296 -,,,,,,,2146,12917 -,,,,,,,2147,13271 -,,,,,,,2148,13333 -,,,,,,,2149,13218 -,,,,,,,2150,12915 -,,,,,,,2151,12633 -,,,,,,,2152,12455 -,,,,,,,2153,12474 -,,,,,,,2154,12636 -,,,,,,,2155,12769 -,,,,,,,2156,13316 -,,,,,,,2157,13255 -,,,,,,,2158,12726 -,,,,,,,2159,11929 -,,,,,,,2160,11007 -,,,,,,,2161,10271 -,,,,,,,2162,9815 -,,,,,,,2163,9597 -,,,,,,,2164,9511 -,,,,,,,2165,9552 -,,,,,,,2166,9820 -,,,,,,,2167,10216 -,,,,,,,2168,10800 -,,,,,,,2169,11539 -,,,,,,,2170,12016 -,,,,,,,2171,12195 -,,,,,,,2172,12226 -,,,,,,,2173,12219 -,,,,,,,2174,12143 -,,,,,,,2175,12063 -,,,,,,,2176,12134 -,,,,,,,2177,12487 -,,,,,,,2178,13015 -,,,,,,,2179,13397 -,,,,,,,2180,13844 -,,,,,,,2181,13492 -,,,,,,,2182,12616 -,,,,,,,2183,11491 -,,,,,,,2184,10458 -,,,,,,,2185,9776 -,,,,,,,2186,9405 -,,,,,,,2187,9266 -,,,,,,,2188,9287 -,,,,,,,2189,9621 -,,,,,,,2190,10696 -,,,,,,,2191,12536 -,,,,,,,2192,13636 -,,,,,,,2193,13962 -,,,,,,,2194,14100 -,,,,,,,2195,14169 -,,,,,,,2196,14065 -,,,,,,,2197,13865 -,,,,,,,2198,13717 -,,,,,,,2199,13466 -,,,,,,,2200,13269 -,,,,,,,2201,13260 -,,,,,,,2202,13448 -,,,,,,,2203,13589 -,,,,,,,2204,14340 -,,,,,,,2205,14403 -,,,,,,,2206,13538 -,,,,,,,2207,12226 -,,,,,,,2208,11000 -,,,,,,,2209,10242 -,,,,,,,2210,9856 -,,,,,,,2211,9696 -,,,,,,,2212,9714 -,,,,,,,2213,10062 -,,,,,,,2214,11133 -,,,,,,,2215,12916 -,,,,,,,2216,13890 -,,,,,,,2217,13977 -,,,,,,,2218,13956 -,,,,,,,2219,13933 -,,,,,,,2220,13812 -,,,,,,,2221,13629 -,,,,,,,2222,13478 -,,,,,,,2223,13276 -,,,,,,,2224,13139 -,,,,,,,2225,13129 -,,,,,,,2226,13256 -,,,,,,,2227,13386 -,,,,,,,2228,14130 -,,,,,,,2229,14212 -,,,,,,,2230,13270 -,,,,,,,2231,11929 -,,,,,,,2232,10702 -,,,,,,,2233,9897 -,,,,,,,2234,9497 -,,,,,,,2235,9291 -,,,,,,,2236,9261 -,,,,,,,2237,9531 -,,,,,,,2238,10538 -,,,,,,,2239,12267 -,,,,,,,2240,13244 -,,,,,,,2241,13412 -,,,,,,,2242,13452 -,,,,,,,2243,13540 -,,,,,,,2244,13541 -,,,,,,,2245,13423 -,,,,,,,2246,13392 -,,,,,,,2247,13278 -,,,,,,,2248,13136 -,,,,,,,2249,13138 -,,,,,,,2250,13260 -,,,,,,,2251,13379 -,,,,,,,2252,14025 -,,,,,,,2253,13994 -,,,,,,,2254,13081 -,,,,,,,2255,11783 -,,,,,,,2256,10556 -,,,,,,,2257,9818 -,,,,,,,2258,9426 -,,,,,,,2259,9253 -,,,,,,,2260,9254 -,,,,,,,2261,9577 -,,,,,,,2262,10590 -,,,,,,,2263,12367 -,,,,,,,2264,13386 -,,,,,,,2265,13593 -,,,,,,,2266,13698 -,,,,,,,2267,13771 -,,,,,,,2268,13726 -,,,,,,,2269,13585 -,,,,,,,2270,13492 -,,,,,,,2271,13257 -,,,,,,,2272,13066 -,,,,,,,2273,13025 -,,,,,,,2274,13113 -,,,,,,,2275,13196 -,,,,,,,2276,13828 -,,,,,,,2277,13973 -,,,,,,,2278,13246 -,,,,,,,2279,12042 -,,,,,,,2280,10880 -,,,,,,,2281,10104 -,,,,,,,2282,9698 -,,,,,,,2283,9513 -,,,,,,,2284,9502 -,,,,,,,2285,9754 -,,,,,,,2286,10575 -,,,,,,,2287,11843 -,,,,,,,2288,12815 -,,,,,,,2289,13257 -,,,,,,,2290,13471 -,,,,,,,2291,13527 -,,,,,,,2292,13399 -,,,,,,,2293,13187 -,,,,,,,2294,12996 -,,,,,,,2295,12721 -,,,,,,,2296,12490 -,,,,,,,2297,12453 -,,,,,,,2298,12533 -,,,,,,,2299,12581 -,,,,,,,2300,13140 -,,,,,,,2301,13284 -,,,,,,,2302,12681 -,,,,,,,2303,11730 -,,,,,,,2304,10732 -,,,,,,,2305,9988 -,,,,,,,2306,9555 -,,,,,,,2307,9336 -,,,,,,,2308,9263 -,,,,,,,2309,9379 -,,,,,,,2310,9761 -,,,,,,,2311,10312 -,,,,,,,2312,11164 -,,,,,,,2313,12006 -,,,,,,,2314,12447 -,,,,,,,2315,12547 -,,,,,,,2316,12469 -,,,,,,,2317,12277 -,,,,,,,2318,12030 -,,,,,,,2319,11804 -,,,,,,,2320,11763 -,,,,,,,2321,11980 -,,,,,,,2322,12296 -,,,,,,,2323,12537 -,,,,,,,2324,13039 -,,,,,,,2325,13026 -,,,,,,,2326,12427 -,,,,,,,2327,11528 -,,,,,,,2328,10541 -,,,,,,,2329,9733 -,,,,,,,2330,9264 -,,,,,,,2331,8984 -,,,,,,,2332,8883 -,,,,,,,2333,8928 -,,,,,,,2334,9182 -,,,,,,,2335,9621 -,,,,,,,2336,10426 -,,,,,,,2337,11345 -,,,,,,,2338,11916 -,,,,,,,2339,12114 -,,,,,,,2340,12229 -,,,,,,,2341,12124 -,,,,,,,2342,11689 -,,,,,,,2343,11250 -,,,,,,,2344,11005 -,,,,,,,2345,10950 -,,,,,,,2346,11075 -,,,,,,,2347,11376 -,,,,,,,2348,12248 -,,,,,,,2349,12684 -,,,,,,,2350,11999 -,,,,,,,2351,10958 -,,,,,,,2352,9998 -,,,,,,,2353,9355 -,,,,,,,2354,9042 -,,,,,,,2355,8926 -,,,,,,,2356,8932 -,,,,,,,2357,9258 -,,,,,,,2358,10292 -,,,,,,,2359,11981 -,,,,,,,2360,13117 -,,,,,,,2361,13520 -,,,,,,,2362,13689 -,,,,,,,2363,13843 -,,,,,,,2364,13844 -,,,,,,,2365,13732 -,,,,,,,2366,13629 -,,,,,,,2367,13408 -,,,,,,,2368,13255 -,,,,,,,2369,13257 -,,,,,,,2370,13412 -,,,,,,,2371,13544 -,,,,,,,2372,14116 -,,,,,,,2373,14140 -,,,,,,,2374,13160 -,,,,,,,2375,11819 -,,,,,,,2376,10573 -,,,,,,,2377,9824 -,,,,,,,2378,9447 -,,,,,,,2379,9275 -,,,,,,,2380,9261 -,,,,,,,2381,9580 -,,,,,,,2382,10575 -,,,,,,,2383,12217 -,,,,,,,2384,13246 -,,,,,,,2385,13452 -,,,,,,,2386,13538 -,,,,,,,2387,13627 -,,,,,,,2388,13594 -,,,,,,,2389,13513 -,,,,,,,2390,13479 -,,,,,,,2391,13297 -,,,,,,,2392,13141 -,,,,,,,2393,13163 -,,,,,,,2394,13268 -,,,,,,,2395,13359 -,,,,,,,2396,13951 -,,,,,,,2397,14004 -,,,,,,,2398,13046 -,,,,,,,2399,11702 -,,,,,,,2400,10489 -,,,,,,,2401,9741 -,,,,,,,2402,9354 -,,,,,,,2403,9182 -,,,,,,,2404,9182 -,,,,,,,2405,9488 -,,,,,,,2406,10483 -,,,,,,,2407,12145 -,,,,,,,2408,13257 -,,,,,,,2409,13536 -,,,,,,,2410,13583 -,,,,,,,2411,13647 -,,,,,,,2412,13611 -,,,,,,,2413,13475 -,,,,,,,2414,13413 -,,,,,,,2415,13255 -,,,,,,,2416,13117 -,,,,,,,2417,13150 -,,,,,,,2418,13291 -,,,,,,,2419,13426 -,,,,,,,2420,14026 -,,,,,,,2421,14025 -,,,,,,,2422,13093 -,,,,,,,2423,11784 -,,,,,,,2424,10587 -,,,,,,,2425,9808 -,,,,,,,2426,9399 -,,,,,,,2427,9212 -,,,,,,,2428,9207 -,,,,,,,2429,9493 -,,,,,,,2430,10499 -,,,,,,,2431,12136 -,,,,,,,2432,13192 -,,,,,,,2433,13461 -,,,,,,,2434,13540 -,,,,,,,2435,13586 -,,,,,,,2436,13597 -,,,,,,,2437,13544 -,,,,,,,2438,13530 -,,,,,,,2439,13367 -,,,,,,,2440,13242 -,,,,,,,2441,13282 -,,,,,,,2442,13438 -,,,,,,,2443,13479 -,,,,,,,2444,13967 -,,,,,,,2445,14039 -,,,,,,,2446,13185 -,,,,,,,2447,11917 -,,,,,,,2448,10703 -,,,,,,,2449,9941 -,,,,,,,2450,9561 -,,,,,,,2451,9378 -,,,,,,,2452,9379 -,,,,,,,2453,9671 -,,,,,,,2454,10637 -,,,,,,,2455,12210 -,,,,,,,2456,13232 -,,,,,,,2457,13433 -,,,,,,,2458,13504 -,,,,,,,2459,13567 -,,,,,,,2460,13479 -,,,,,,,2461,13325 -,,,,,,,2462,13237 -,,,,,,,2463,13034 -,,,,,,,2464,12799 -,,,,,,,2465,12697 -,,,,,,,2466,12626 -,,,,,,,2467,12520 -,,,,,,,2468,12946 -,,,,,,,2469,13195 -,,,,,,,2470,12509 -,,,,,,,2471,11485 -,,,,,,,2472,10380 -,,,,,,,2473,9605 -,,,,,,,2474,9153 -,,,,,,,2475,8896 -,,,,,,,2476,8842 -,,,,,,,2477,8941 -,,,,,,,2478,9325 -,,,,,,,2479,9817 -,,,,,,,2480,10702 -,,,,,,,2481,11487 -,,,,,,,2482,11969 -,,,,,,,2483,12159 -,,,,,,,2484,12109 -,,,,,,,2485,11931 -,,,,,,,2486,11711 -,,,,,,,2487,11519 -,,,,,,,2488,11451 -,,,,,,,2489,11497 -,,,,,,,2490,11641 -,,,,,,,2491,11711 -,,,,,,,2492,12162 -,,,,,,,2493,12371 -,,,,,,,2494,11763 -,,,,,,,2495,10854 -,,,,,,,2496,9941 -,,,,,,,2497,9213 -,,,,,,,2498,8755 -,,,,,,,2499,8487 -,,,,,,,2500,8382 -,,,,,,,2501,8402 -,,,,,,,2502,8598 -,,,,,,,2503,8876 -,,,,,,,2504,9539 -,,,,,,,2505,10451 -,,,,,,,2506,11148 -,,,,,,,2507,11515 -,,,,,,,2508,11721 -,,,,,,,2509,11765 -,,,,,,,2510,11678 -,,,,,,,2511,11606 -,,,,,,,2512,11630 -,,,,,,,2513,11818 -,,,,,,,2514,12094 -,,,,,,,2515,12201 -,,,,,,,2516,12644 -,,,,,,,2517,12843 -,,,,,,,2518,12110 -,,,,,,,2519,11088 -,,,,,,,2520,10111 -,,,,,,,2521,9397 -,,,,,,,2522,8984 -,,,,,,,2523,8775 -,,,,,,,2524,8730 -,,,,,,,2525,8963 -,,,,,,,2526,9760 -,,,,,,,2527,10904 -,,,,,,,2528,12160 -,,,,,,,2529,13092 -,,,,,,,2530,13761 -,,,,,,,2531,14296 -,,,,,,,2532,14654 -,,,,,,,2533,14878 -,,,,,,,2534,15031 -,,,,,,,2535,15074 -,,,,,,,2536,15064 -,,,,,,,2537,15041 -,,,,,,,2538,14919 -,,,,,,,2539,14640 -,,,,,,,2540,14735 -,,,,,,,2541,14894 -,,,,,,,2542,13852 -,,,,,,,2543,12422 -,,,,,,,2544,11087 -,,,,,,,2545,10161 -,,,,,,,2546,9627 -,,,,,,,2547,9302 -,,,,,,,2548,9165 -,,,,,,,2549,9366 -,,,,,,,2550,10145 -,,,,,,,2551,11358 -,,,,,,,2552,12704 -,,,,,,,2553,13492 -,,,,,,,2554,13970 -,,,,,,,2555,14323 -,,,,,,,2556,14501 -,,,,,,,2557,14577 -,,,,,,,2558,14724 -,,,,,,,2559,14740 -,,,,,,,2560,14709 -,,,,,,,2561,14674 -,,,,,,,2562,14544 -,,,,,,,2563,14178 -,,,,,,,2564,14228 -,,,,,,,2565,14360 -,,,,,,,2566,13319 -,,,,,,,2567,11908 -,,,,,,,2568,10650 -,,,,,,,2569,9743 -,,,,,,,2570,9224 -,,,,,,,2571,8943 -,,,,,,,2572,8827 -,,,,,,,2573,9022 -,,,,,,,2574,9786 -,,,,,,,2575,10924 -,,,,,,,2576,12100 -,,,,,,,2577,12688 -,,,,,,,2578,13013 -,,,,,,,2579,13266 -,,,,,,,2580,13382 -,,,,,,,2581,13344 -,,,,,,,2582,13350 -,,,,,,,2583,13224 -,,,,,,,2584,13029 -,,,,,,,2585,12992 -,,,,,,,2586,13047 -,,,,,,,2587,13054 -,,,,,,,2588,13406 -,,,,,,,2589,13494 -,,,,,,,2590,12627 -,,,,,,,2591,11411 -,,,,,,,2592,10252 -,,,,,,,2593,9485 -,,,,,,,2594,9059 -,,,,,,,2595,8822 -,,,,,,,2596,8778 -,,,,,,,2597,9032 -,,,,,,,2598,9837 -,,,,,,,2599,11097 -,,,,,,,2600,12257 -,,,,,,,2601,12792 -,,,,,,,2602,13125 -,,,,,,,2603,13385 -,,,,,,,2604,13500 -,,,,,,,2605,13477 -,,,,,,,2606,13481 -,,,,,,,2607,13385 -,,,,,,,2608,13272 -,,,,,,,2609,13253 -,,,,,,,2610,13204 -,,,,,,,2611,13046 -,,,,,,,2612,13295 -,,,,,,,2613,13606 -,,,,,,,2614,12773 -,,,,,,,2615,11529 -,,,,,,,2616,10332 -,,,,,,,2617,9552 -,,,,,,,2618,9126 -,,,,,,,2619,8909 -,,,,,,,2620,8818 -,,,,,,,2621,9040 -,,,,,,,2622,9762 -,,,,,,,2623,10907 -,,,,,,,2624,12052 -,,,,,,,2625,12732 -,,,,,,,2626,13213 -,,,,,,,2627,13568 -,,,,,,,2628,13736 -,,,,,,,2629,13727 -,,,,,,,2630,13742 -,,,,,,,2631,13623 -,,,,,,,2632,13458 -,,,,,,,2633,13341 -,,,,,,,2634,13154 -,,,,,,,2635,12834 -,,,,,,,2636,12974 -,,,,,,,2637,13182 -,,,,,,,2638,12433 -,,,,,,,2639,11379 -,,,,,,,2640,10290 -,,,,,,,2641,9486 -,,,,,,,2642,9016 -,,,,,,,2643,8745 -,,,,,,,2644,8624 -,,,,,,,2645,8691 -,,,,,,,2646,8982 -,,,,,,,2647,9416 -,,,,,,,2648,10263 -,,,,,,,2649,11209 -,,,,,,,2650,11888 -,,,,,,,2651,12250 -,,,,,,,2652,12371 -,,,,,,,2653,12367 -,,,,,,,2654,12285 -,,,,,,,2655,12204 -,,,,,,,2656,12186 -,,,,,,,2657,12270 -,,,,,,,2658,12395 -,,,,,,,2659,12342 -,,,,,,,2660,12568 -,,,,,,,2661,12816 -,,,,,,,2662,12173 -,,,,,,,2663,11242 -,,,,,,,2664,10286 -,,,,,,,2665,9501 -,,,,,,,2666,9026 -,,,,,,,2667,8721 -,,,,,,,2668,8563 -,,,,,,,2669,8555 -,,,,,,,2670,8709 -,,,,,,,2671,8922 -,,,,,,,2672,9564 -,,,,,,,2673,10450 -,,,,,,,2674,11217 -,,,,,,,2675,11692 -,,,,,,,2676,12009 -,,,,,,,2677,12171 -,,,,,,,2678,12178 -,,,,,,,2679,12129 -,,,,,,,2680,12184 -,,,,,,,2681,12442 -,,,,,,,2682,12736 -,,,,,,,2683,12964 -,,,,,,,2684,13142 -,,,,,,,2685,12940 -,,,,,,,2686,12070 -,,,,,,,2687,11028 -,,,,,,,2688,10055 -,,,,,,,2689,9422 -,,,,,,,2690,9088 -,,,,,,,2691,8938 -,,,,,,,2692,8906 -,,,,,,,2693,9163 -,,,,,,,2694,10133 -,,,,,,,2695,11809 -,,,,,,,2696,13077 -,,,,,,,2697,13605 -,,,,,,,2698,13871 -,,,,,,,2699,14064 -,,,,,,,2700,14144 -,,,,,,,2701,14055 -,,,,,,,2702,13992 -,,,,,,,2703,13799 -,,,,,,,2704,13645 -,,,,,,,2705,13705 -,,,,,,,2706,13866 -,,,,,,,2707,13839 -,,,,,,,2708,13989 -,,,,,,,2709,13951 -,,,,,,,2710,12966 -,,,,,,,2711,11636 -,,,,,,,2712,10421 -,,,,,,,2713,9640 -,,,,,,,2714,9269 -,,,,,,,2715,9067 -,,,,,,,2716,9029 -,,,,,,,2717,9302 -,,,,,,,2718,10211 -,,,,,,,2719,11721 -,,,,,,,2720,12861 -,,,,,,,2721,13228 -,,,,,,,2722,13437 -,,,,,,,2723,13585 -,,,,,,,2724,13574 -,,,,,,,2725,13470 -,,,,,,,2726,13421 -,,,,,,,2727,13273 -,,,,,,,2728,13132 -,,,,,,,2729,13153 -,,,,,,,2730,13235 -,,,,,,,2731,13260 -,,,,,,,2732,13636 -,,,,,,,2733,13984 -,,,,,,,2734,13114 -,,,,,,,2735,11753 -,,,,,,,2736,10527 -,,,,,,,2737,9735 -,,,,,,,2738,9331 -,,,,,,,2739,9149 -,,,,,,,2740,9095 -,,,,,,,2741,9395 -,,,,,,,2742,10320 -,,,,,,,2743,11832 -,,,,,,,2744,12876 -,,,,,,,2745,13150 -,,,,,,,2746,13317 -,,,,,,,2747,13430 -,,,,,,,2748,13474 -,,,,,,,2749,13410 -,,,,,,,2750,13382 -,,,,,,,2751,13201 -,,,,,,,2752,13081 -,,,,,,,2753,13106 -,,,,,,,2754,13189 -,,,,,,,2755,13243 -,,,,,,,2756,13549 -,,,,,,,2757,13797 -,,,,,,,2758,12990 -,,,,,,,2759,11717 -,,,,,,,2760,10528 -,,,,,,,2761,9727 -,,,,,,,2762,9308 -,,,,,,,2763,9138 -,,,,,,,2764,9138 -,,,,,,,2765,9430 -,,,,,,,2766,10389 -,,,,,,,2767,11907 -,,,,,,,2768,12959 -,,,,,,,2769,13242 -,,,,,,,2770,13361 -,,,,,,,2771,13465 -,,,,,,,2772,13524 -,,,,,,,2773,13473 -,,,,,,,2774,13481 -,,,,,,,2775,13338 -,,,,,,,2776,13225 -,,,,,,,2777,13349 -,,,,,,,2778,13631 -,,,,,,,2779,13717 -,,,,,,,2780,13915 -,,,,,,,2781,13912 -,,,,,,,2782,13005 -,,,,,,,2783,11690 -,,,,,,,2784,10485 -,,,,,,,2785,9680 -,,,,,,,2786,9242 -,,,,,,,2787,9010 -,,,,,,,2788,8955 -,,,,,,,2789,9179 -,,,,,,,2790,10045 -,,,,,,,2791,11544 -,,,,,,,2792,12718 -,,,,,,,2793,13163 -,,,,,,,2794,13376 -,,,,,,,2795,13512 -,,,,,,,2796,13483 -,,,,,,,2797,13344 -,,,,,,,2798,13260 -,,,,,,,2799,13049 -,,,,,,,2800,12840 -,,,,,,,2801,12786 -,,,,,,,2802,12759 -,,,,,,,2803,12718 -,,,,,,,2804,13069 -,,,,,,,2805,13492 -,,,,,,,2806,12908 -,,,,,,,2807,11879 -,,,,,,,2808,10798 -,,,,,,,2809,9992 -,,,,,,,2810,9536 -,,,,,,,2811,9325 -,,,,,,,2812,9246 -,,,,,,,2813,9372 -,,,,,,,2814,9701 -,,,,,,,2815,10175 -,,,,,,,2816,11111 -,,,,,,,2817,11888 -,,,,,,,2818,12295 -,,,,,,,2819,12364 -,,,,,,,2820,12267 -,,,,,,,2821,12052 -,,,,,,,2822,11798 -,,,,,,,2823,11572 -,,,,,,,2824,11435 -,,,,,,,2825,11498 -,,,,,,,2826,11664 -,,,,,,,2827,11771 -,,,,,,,2828,12082 -,,,,,,,2829,12547 -,,,,,,,2830,12047 -,,,,,,,2831,11179 -,,,,,,,2832,10261 -,,,,,,,2833,9496 -,,,,,,,2834,9070 -,,,,,,,2835,8859 -,,,,,,,2836,8792 -,,,,,,,2837,8852 -,,,,,,,2838,9041 -,,,,,,,2839,9336 -,,,,,,,2840,10034 -,,,,,,,2841,10822 -,,,,,,,2842,11388 -,,,,,,,2843,11626 -,,,,,,,2844,11728 -,,,,,,,2845,11673 -,,,,,,,2846,11520 -,,,,,,,2847,11351 -,,,,,,,2848,11323 -,,,,,,,2849,11494 -,,,,,,,2850,11815 -,,,,,,,2851,12017 -,,,,,,,2852,12401 -,,,,,,,2853,12962 -,,,,,,,2854,12214 -,,,,,,,2855,11071 -,,,,,,,2856,10027 -,,,,,,,2857,9361 -,,,,,,,2858,9024 -,,,,,,,2859,8900 -,,,,,,,2860,8946 -,,,,,,,2861,9294 -,,,,,,,2862,10280 -,,,,,,,2863,11934 -,,,,,,,2864,13044 -,,,,,,,2865,13263 -,,,,,,,2866,13385 -,,,,,,,2867,13478 -,,,,,,,2868,13469 -,,,,,,,2869,13373 -,,,,,,,2870,13346 -,,,,,,,2871,13202 -,,,,,,,2872,13065 -,,,,,,,2873,13055 -,,,,,,,2874,13144 -,,,,,,,2875,13251 -,,,,,,,2876,13619 -,,,,,,,2877,13891 -,,,,,,,2878,12906 -,,,,,,,2879,11543 -,,,,,,,2880,10320 -,,,,,,,2881,9539 -,,,,,,,2882,9173 -,,,,,,,2883,8976 -,,,,,,,2884,8929 -,,,,,,,2885,9157 -,,,,,,,2886,10099 -,,,,,,,2887,11745 -,,,,,,,2888,13054 -,,,,,,,2889,13570 -,,,,,,,2890,13896 -,,,,,,,2891,14088 -,,,,,,,2892,14278 -,,,,,,,2893,14246 -,,,,,,,2894,14133 -,,,,,,,2895,13975 -,,,,,,,2896,13855 -,,,,,,,2897,13948 -,,,,,,,2898,14145 -,,,,,,,2899,14145 -,,,,,,,2900,14235 -,,,,,,,2901,14225 -,,,,,,,2902,13270 -,,,,,,,2903,11863 -,,,,,,,2904,10625 -,,,,,,,2905,9813 -,,,,,,,2906,9379 -,,,,,,,2907,9161 -,,,,,,,2908,9110 -,,,,,,,2909,9354 -,,,,,,,2910,10268 -,,,,,,,2911,11901 -,,,,,,,2912,13126 -,,,,,,,2913,13485 -,,,,,,,2914,13692 -,,,,,,,2915,13862 -,,,,,,,2916,13869 -,,,,,,,2917,13770 -,,,,,,,2918,13724 -,,,,,,,2919,13565 -,,,,,,,2920,13428 -,,,,,,,2921,13474 -,,,,,,,2922,13637 -,,,,,,,2923,13756 -,,,,,,,2924,14003 -,,,,,,,2925,14101 -,,,,,,,2926,13204 -,,,,,,,2927,11818 -,,,,,,,2928,10577 -,,,,,,,2929,9755 -,,,,,,,2930,9334 -,,,,,,,2931,9107 -,,,,,,,2932,9052 -,,,,,,,2933,9305 -,,,,,,,2934,10210 -,,,,,,,2935,11864 -,,,,,,,2936,13124 -,,,,,,,2937,13527 -,,,,,,,2938,13740 -,,,,,,,2939,13900 -,,,,,,,2940,13948 -,,,,,,,2941,13840 -,,,,,,,2942,13808 -,,,,,,,2943,13608 -,,,,,,,2944,13471 -,,,,,,,2945,13538 -,,,,,,,2946,13687 -,,,,,,,2947,13742 -,,,,,,,2948,13956 -,,,,,,,2949,14055 -,,,,,,,2950,13169 -,,,,,,,2951,11794 -,,,,,,,2952,10541 -,,,,,,,2953,9723 -,,,,,,,2954,9269 -,,,,,,,2955,9036 -,,,,,,,2956,8974 -,,,,,,,2957,9200 -,,,,,,,2958,10066 -,,,,,,,2959,11682 -,,,,,,,2960,12939 -,,,,,,,2961,13454 -,,,,,,,2962,13710 -,,,,,,,2963,13956 -,,,,,,,2964,13989 -,,,,,,,2965,13907 -,,,,,,,2966,13859 -,,,,,,,2967,13652 -,,,,,,,2968,13469 -,,,,,,,2969,13454 -,,,,,,,2970,13416 -,,,,,,,2971,13293 -,,,,,,,2972,13309 -,,,,,,,2973,13466 -,,,,,,,2974,12793 -,,,,,,,2975,11717 -,,,,,,,2976,10585 -,,,,,,,2977,9684 -,,,,,,,2978,9184 -,,,,,,,2979,8878 -,,,,,,,2980,8739 -,,,,,,,2981,8784 -,,,,,,,2982,9067 -,,,,,,,2983,9597 -,,,,,,,2984,10525 -,,,,,,,2985,11502 -,,,,,,,2986,12134 -,,,,,,,2987,12414 -,,,,,,,2988,12469 -,,,,,,,2989,12345 -,,,,,,,2990,12142 -,,,,,,,2991,11945 -,,,,,,,2992,11809 -,,,,,,,2993,11798 -,,,,,,,2994,11871 -,,,,,,,2995,11846 -,,,,,,,2996,11981 -,,,,,,,2997,12433 -,,,,,,,2998,11972 -,,,,,,,2999,11097 -,,,,,,,3000,10159 -,,,,,,,3001,9407 -,,,,,,,3002,8937 -,,,,,,,3003,8659 -,,,,,,,3004,8524 -,,,,,,,3005,8526 -,,,,,,,3006,8647 -,,,,,,,3007,8908 -,,,,,,,3008,9630 -,,,,,,,3009,10511 -,,,,,,,3010,11177 -,,,,,,,3011,11529 -,,,,,,,3012,11669 -,,,,,,,3013,11671 -,,,,,,,3014,11555 -,,,,,,,3015,11397 -,,,,,,,3016,11365 -,,,,,,,3017,11535 -,,,,,,,3018,11841 -,,,,,,,3019,12028 -,,,,,,,3020,12288 -,,,,,,,3021,12893 -,,,,,,,3022,12180 -,,,,,,,3023,11034 -,,,,,,,3024,9955 -,,,,,,,3025,9190 -,,,,,,,3026,8805 -,,,,,,,3027,8639 -,,,,,,,3028,8613 -,,,,,,,3029,8912 -,,,,,,,3030,9749 -,,,,,,,3031,11367 -,,,,,,,3032,12615 -,,,,,,,3033,13038 -,,,,,,,3034,13309 -,,,,,,,3035,13573 -,,,,,,,3036,13689 -,,,,,,,3037,13683 -,,,,,,,3038,13715 -,,,,,,,3039,13597 -,,,,,,,3040,13441 -,,,,,,,3041,13378 -,,,,,,,3042,13323 -,,,,,,,3043,13225 -,,,,,,,3044,13438 -,,,,,,,3045,13827 -,,,,,,,3046,12932 -,,,,,,,3047,11528 -,,,,,,,3048,10253 -,,,,,,,3049,9445 -,,,,,,,3050,9022 -,,,,,,,3051,8795 -,,,,,,,3052,8732 -,,,,,,,3053,8982 -,,,,,,,3054,9831 -,,,,,,,3055,11451 -,,,,,,,3056,12768 -,,,,,,,3057,13243 -,,,,,,,3058,13519 -,,,,,,,3059,13768 -,,,,,,,3060,13847 -,,,,,,,3061,13766 -,,,,,,,3062,13787 -,,,,,,,3063,13657 -,,,,,,,3064,13586 -,,,,,,,3065,13740 -,,,,,,,3066,13967 -,,,,,,,3067,13956 -,,,,,,,3068,14029 -,,,,,,,3069,13981 -,,,,,,,3070,13017 -,,,,,,,3071,11671 -,,,,,,,3072,10440 -,,,,,,,3073,9610 -,,,,,,,3074,9183 -,,,,,,,3075,8957 -,,,,,,,3076,8893 -,,,,,,,3077,9132 -,,,,,,,3078,10030 -,,,,,,,3079,11697 -,,,,,,,3080,13077 -,,,,,,,3081,13583 -,,,,,,,3082,13889 -,,,,,,,3083,14136 -,,,,,,,3084,14238 -,,,,,,,3085,14187 -,,,,,,,3086,14178 -,,,,,,,3087,14018 -,,,,,,,3088,13927 -,,,,,,,3089,14026 -,,,,,,,3090,14147 -,,,,,,,3091,14070 -,,,,,,,3092,14126 -,,,,,,,3093,14103 -,,,,,,,3094,13193 -,,,,,,,3095,11813 -,,,,,,,3096,10569 -,,,,,,,3097,9743 -,,,,,,,3098,9289 -,,,,,,,3099,9055 -,,,,,,,3100,9003 -,,,,,,,3101,9207 -,,,,,,,3102,10028 -,,,,,,,3103,11633 -,,,,,,,3104,12947 -,,,,,,,3105,13420 -,,,,,,,3106,13653 -,,,,,,,3107,13848 -,,,,,,,3108,13915 -,,,,,,,3109,13857 -,,,,,,,3110,13818 -,,,,,,,3111,13645 -,,,,,,,3112,13482 -,,,,,,,3113,13436 -,,,,,,,3114,13410 -,,,,,,,3115,13279 -,,,,,,,3116,13342 -,,,,,,,3117,13730 -,,,,,,,3118,13034 -,,,,,,,3119,11755 -,,,,,,,3120,10473 -,,,,,,,3121,9635 -,,,,,,,3122,9184 -,,,,,,,3123,8941 -,,,,,,,3124,8883 -,,,,,,,3125,9140 -,,,,,,,3126,9880 -,,,,,,,3127,11472 -,,,,,,,3128,12664 -,,,,,,,3129,13059 -,,,,,,,3130,13293 -,,,,,,,3131,13464 -,,,,,,,3132,13533 -,,,,,,,3133,13444 -,,,,,,,3134,13382 -,,,,,,,3135,13208 -,,,,,,,3136,13032 -,,,,,,,3137,12940 -,,,,,,,3138,12831 -,,,,,,,3139,12649 -,,,,,,,3140,12621 -,,,,,,,3141,13052 -,,,,,,,3142,12594 -,,,,,,,3143,11567 -,,,,,,,3144,10420 -,,,,,,,3145,9561 -,,,,,,,3146,9062 -,,,,,,,3147,8786 -,,,,,,,3148,8685 -,,,,,,,3149,8728 -,,,,,,,3150,8918 -,,,,,,,3151,9480 -,,,,,,,3152,10426 -,,,,,,,3153,11353 -,,,,,,,3154,11910 -,,,,,,,3155,12104 -,,,,,,,3156,12130 -,,,,,,,3157,12030 -,,,,,,,3158,11902 -,,,,,,,3159,11796 -,,,,,,,3160,11819 -,,,,,,,3161,11940 -,,,,,,,3162,12087 -,,,,,,,3163,12111 -,,,,,,,3164,12155 -,,,,,,,3165,12622 -,,,,,,,3166,12216 -,,,,,,,3167,11296 -,,,,,,,3168,10263 -,,,,,,,3169,9451 -,,,,,,,3170,8900 -,,,,,,,3171,8585 -,,,,,,,3172,8414 -,,,,,,,3173,8389 -,,,,,,,3174,8404 -,,,,,,,3175,8731 -,,,,,,,3176,9560 -,,,,,,,3177,10581 -,,,,,,,3178,11347 -,,,,,,,3179,11758 -,,,,,,,3180,11976 -,,,,,,,3181,12079 -,,,,,,,3182,12056 -,,,,,,,3183,12033 -,,,,,,,3184,12085 -,,,,,,,3185,12228 -,,,,,,,3186,12403 -,,,,,,,3187,12447 -,,,,,,,3188,12654 -,,,,,,,3189,13235 -,,,,,,,3190,12686 -,,,,,,,3191,11526 -,,,,,,,3192,10378 -,,,,,,,3193,9558 -,,,,,,,3194,9131 -,,,,,,,3195,8892 -,,,,,,,3196,8826 -,,,,,,,3197,9096 -,,,,,,,3198,9902 -,,,,,,,3199,11495 -,,,,,,,3200,12851 -,,,,,,,3201,13441 -,,,,,,,3202,13852 -,,,,,,,3203,14214 -,,,,,,,3204,14428 -,,,,,,,3205,14499 -,,,,,,,3206,14493 -,,,,,,,3207,14378 -,,,,,,,3208,14246 -,,,,,,,3209,14239 -,,,,,,,3210,14279 -,,,,,,,3211,14175 -,,,,,,,3212,14174 -,,,,,,,3213,14263 -,,,,,,,3214,13360 -,,,,,,,3215,11972 -,,,,,,,3216,10673 -,,,,,,,3217,9830 -,,,,,,,3218,9364 -,,,,,,,3219,9107 -,,,,,,,3220,9045 -,,,,,,,3221,9272 -,,,,,,,3222,10077 -,,,,,,,3223,11669 -,,,,,,,3224,13009 -,,,,,,,3225,13608 -,,,,,,,3226,13992 -,,,,,,,3227,14340 -,,,,,,,3228,14490 -,,,,,,,3229,14502 -,,,,,,,3230,14491 -,,,,,,,3231,14313 -,,,,,,,3232,14177 -,,,,,,,3233,14229 -,,,,,,,3234,14342 -,,,,,,,3235,14290 -,,,,,,,3236,14304 -,,,,,,,3237,14286 -,,,,,,,3238,13367 -,,,,,,,3239,11995 -,,,,,,,3240,10728 -,,,,,,,3241,9904 -,,,,,,,3242,9440 -,,,,,,,3243,9199 -,,,,,,,3244,9124 -,,,,,,,3245,9352 -,,,,,,,3246,10214 -,,,,,,,3247,11862 -,,,,,,,3248,13234 -,,,,,,,3249,13844 -,,,,,,,3250,14207 -,,,,,,,3251,14488 -,,,,,,,3252,14619 -,,,,,,,3253,14608 -,,,,,,,3254,14644 -,,,,,,,3255,14632 -,,,,,,,3256,14632 -,,,,,,,3257,14675 -,,,,,,,3258,14652 -,,,,,,,3259,14455 -,,,,,,,3260,14366 -,,,,,,,3261,14687 -,,,,,,,3262,13891 -,,,,,,,3263,12444 -,,,,,,,3264,11038 -,,,,,,,3265,10105 -,,,,,,,3266,9572 -,,,,,,,3267,9267 -,,,,,,,3268,9131 -,,,,,,,3269,9285 -,,,,,,,3270,9941 -,,,,,,,3271,11490 -,,,,,,,3272,12726 -,,,,,,,3273,13236 -,,,,,,,3274,13541 -,,,,,,,3275,13808 -,,,,,,,3276,13940 -,,,,,,,3277,13940 -,,,,,,,3278,14014 -,,,,,,,3279,13956 -,,,,,,,3280,13901 -,,,,,,,3281,13883 -,,,,,,,3282,13799 -,,,,,,,3283,13570 -,,,,,,,3284,13495 -,,,,,,,3285,13911 -,,,,,,,3286,13289 -,,,,,,,3287,11905 -,,,,,,,3288,10585 -,,,,,,,3289,9701 -,,,,,,,3290,9182 -,,,,,,,3291,8920 -,,,,,,,3292,8830 -,,,,,,,3293,9052 -,,,,,,,3294,9725 -,,,,,,,3295,11286 -,,,,,,,3296,12592 -,,,,,,,3297,13166 -,,,,,,,3298,13524 -,,,,,,,3299,13805 -,,,,,,,3300,13933 -,,,,,,,3301,13917 -,,,,,,,3302,13948 -,,,,,,,3303,13842 -,,,,,,,3304,13735 -,,,,,,,3305,13625 -,,,,,,,3306,13420 -,,,,,,,3307,13104 -,,,,,,,3308,12917 -,,,,,,,3309,13251 -,,,,,,,3310,12804 -,,,,,,,3311,11705 -,,,,,,,3312,10504 -,,,,,,,3313,9610 -,,,,,,,3314,9095 -,,,,,,,3315,8788 -,,,,,,,3316,8626 -,,,,,,,3317,8679 -,,,,,,,3318,8793 -,,,,,,,3319,9388 -,,,,,,,3320,10390 -,,,,,,,3321,11424 -,,,,,,,3322,12071 -,,,,,,,3323,12395 -,,,,,,,3324,12548 -,,,,,,,3325,12542 -,,,,,,,3326,12465 -,,,,,,,3327,12427 -,,,,,,,3328,12490 -,,,,,,,3329,12630 -,,,,,,,3330,12751 -,,,,,,,3331,12681 -,,,,,,,3332,12519 -,,,,,,,3333,12839 -,,,,,,,3334,12492 -,,,,,,,3335,11519 -,,,,,,,3336,10450 -,,,,,,,3337,9598 -,,,,,,,3338,9048 -,,,,,,,3339,8701 -,,,,,,,3340,8553 -,,,,,,,3341,8539 -,,,,,,,3342,8518 -,,,,,,,3343,8870 -,,,,,,,3344,9733 -,,,,,,,3345,10789 -,,,,,,,3346,11621 -,,,,,,,3347,12132 -,,,,,,,3348,12469 -,,,,,,,3349,12642 -,,,,,,,3350,12668 -,,,,,,,3351,12690 -,,,,,,,3352,12776 -,,,,,,,3353,12948 -,,,,,,,3354,13120 -,,,,,,,3355,13112 -,,,,,,,3356,13045 -,,,,,,,3357,13461 -,,,,,,,3358,12879 -,,,,,,,3359,11593 -,,,,,,,3360,10383 -,,,,,,,3361,9519 -,,,,,,,3362,9100 -,,,,,,,3363,8872 -,,,,,,,3364,8816 -,,,,,,,3365,9052 -,,,,,,,3366,9772 -,,,,,,,3367,11376 -,,,,,,,3368,12799 -,,,,,,,3369,13467 -,,,,,,,3370,13923 -,,,,,,,3371,14304 -,,,,,,,3372,14524 -,,,,,,,3373,14572 -,,,,,,,3374,14667 -,,,,,,,3375,14582 -,,,,,,,3376,14463 -,,,,,,,3377,14490 -,,,,,,,3378,14514 -,,,,,,,3379,14419 -,,,,,,,3380,14367 -,,,,,,,3381,14414 -,,,,,,,3382,13518 -,,,,,,,3383,12100 -,,,,,,,3384,10827 -,,,,,,,3385,9988 -,,,,,,,3386,9524 -,,,,,,,3387,9302 -,,,,,,,3388,9215 -,,,,,,,3389,9457 -,,,,,,,3390,10253 -,,,,,,,3391,11891 -,,,,,,,3392,13238 -,,,,,,,3393,13797 -,,,,,,,3394,14175 -,,,,,,,3395,14538 -,,,,,,,3396,14705 -,,,,,,,3397,14693 -,,,,,,,3398,14706 -,,,,,,,3399,14593 -,,,,,,,3400,14498 -,,,,,,,3401,14504 -,,,,,,,3402,14542 -,,,,,,,3403,14387 -,,,,,,,3404,14284 -,,,,,,,3405,14359 -,,,,,,,3406,13579 -,,,,,,,3407,12238 -,,,,,,,3408,10949 -,,,,,,,3409,10025 -,,,,,,,3410,9572 -,,,,,,,3411,9331 -,,,,,,,3412,9251 -,,,,,,,3413,9494 -,,,,,,,3414,10224 -,,,,,,,3415,11893 -,,,,,,,3416,13304 -,,,,,,,3417,13962 -,,,,,,,3418,14397 -,,,,,,,3419,14789 -,,,,,,,3420,15046 -,,,,,,,3421,15170 -,,,,,,,3422,15335 -,,,,,,,3423,15317 -,,,,,,,3424,15211 -,,,,,,,3425,15232 -,,,,,,,3426,15202 -,,,,,,,3427,14977 -,,,,,,,3428,14803 -,,,,,,,3429,15060 -,,,,,,,3430,14428 -,,,,,,,3431,12934 -,,,,,,,3432,11480 -,,,,,,,3433,10481 -,,,,,,,3434,9880 -,,,,,,,3435,9545 -,,,,,,,3436,9407 -,,,,,,,3437,9610 -,,,,,,,3438,10337 -,,,,,,,3439,12050 -,,,,,,,3440,13500 -,,,,,,,3441,14220 -,,,,,,,3442,14757 -,,,,,,,3443,15199 -,,,,,,,3444,15458 -,,,,,,,3445,15535 -,,,,,,,3446,15603 -,,,,,,,3447,15562 -,,,,,,,3448,15421 -,,,,,,,3449,15350 -,,,,,,,3450,15131 -,,,,,,,3451,14811 -,,,,,,,3452,14644 -,,,,,,,3453,14900 -,,,,,,,3454,14278 -,,,,,,,3455,12795 -,,,,,,,3456,11338 -,,,,,,,3457,10385 -,,,,,,,3458,9862 -,,,,,,,3459,9549 -,,,,,,,3460,9451 -,,,,,,,3461,9651 -,,,,,,,3462,10365 -,,,,,,,3463,11908 -,,,,,,,3464,13251 -,,,,,,,3465,13908 -,,,,,,,3466,14314 -,,,,,,,3467,14616 -,,,,,,,3468,14821 -,,,,,,,3469,14854 -,,,,,,,3470,14910 -,,,,,,,3471,14834 -,,,,,,,3472,14761 -,,,,,,,3473,14757 -,,,,,,,3474,14637 -,,,,,,,3475,14373 -,,,,,,,3476,14150 -,,,,,,,3477,14337 -,,,,,,,3478,13926 -,,,,,,,3479,12814 -,,,,,,,3480,11557 -,,,,,,,3481,10601 -,,,,,,,3482,10023 -,,,,,,,3483,9671 -,,,,,,,3484,9493 -,,,,,,,3485,9514 -,,,,,,,3486,9657 -,,,,,,,3487,10210 -,,,,,,,3488,11253 -,,,,,,,3489,12482 -,,,,,,,3490,13487 -,,,,,,,3491,14178 -,,,,,,,3492,14623 -,,,,,,,3493,14890 -,,,,,,,3494,14974 -,,,,,,,3495,15031 -,,,,,,,3496,15031 -,,,,,,,3497,15137 -,,,,,,,3498,15137 -,,,,,,,3499,14926 -,,,,,,,3500,14647 -,,,,,,,3501,14788 -,,,,,,,3502,14370 -,,,,,,,3503,13191 -,,,,,,,3504,11921 -,,,,,,,3505,10863 -,,,,,,,3506,10183 -,,,,,,,3507,9727 -,,,,,,,3508,9451 -,,,,,,,3509,9325 -,,,,,,,3510,9181 -,,,,,,,3511,9504 -,,,,,,,3512,10331 -,,,,,,,3513,11369 -,,,,,,,3514,12288 -,,,,,,,3515,12880 -,,,,,,,3516,13281 -,,,,,,,3517,13519 -,,,,,,,3518,13558 -,,,,,,,3519,13586 -,,,,,,,3520,13657 -,,,,,,,3521,13787 -,,,,,,,3522,13845 -,,,,,,,3523,13622 -,,,,,,,3524,13363 -,,,,,,,3525,13617 -,,,,,,,3526,13337 -,,,,,,,3527,12417 -,,,,,,,3528,11332 -,,,,,,,3529,10464 -,,,,,,,3530,9892 -,,,,,,,3531,9569 -,,,,,,,3532,9410 -,,,,,,,3533,9430 -,,,,,,,3534,9521 -,,,,,,,3535,9956 -,,,,,,,3536,10850 -,,,,,,,3537,12054 -,,,,,,,3538,13054 -,,,,,,,3539,13815 -,,,,,,,3540,14383 -,,,,,,,3541,14789 -,,,,,,,3542,14937 -,,,,,,,3543,15038 -,,,,,,,3544,15153 -,,,,,,,3545,15360 -,,,,,,,3546,15511 -,,,,,,,3547,15337 -,,,,,,,3548,15146 -,,,,,,,3549,15353 -,,,,,,,3550,14667 -,,,,,,,3551,13175 -,,,,,,,3552,11746 -,,,,,,,3553,10806 -,,,,,,,3554,10235 -,,,,,,,3555,9920 -,,,,,,,3556,9836 -,,,,,,,3557,10040 -,,,,,,,3558,10812 -,,,,,,,3559,12514 -,,,,,,,3560,14064 -,,,,,,,3561,14976 -,,,,,,,3562,15710 -,,,,,,,3563,16409 -,,,,,,,3564,17004 -,,,,,,,3565,17429 -,,,,,,,3566,17803 -,,,,,,,3567,17946 -,,,,,,,3568,18121 -,,,,,,,3569,18250 -,,,,,,,3570,18113 -,,,,,,,3571,17624 -,,,,,,,3572,17256 -,,,,,,,3573,17030 -,,,,,,,3574,15806 -,,,,,,,3575,14140 -,,,,,,,3576,12644 -,,,,,,,3577,11597 -,,,,,,,3578,10971 -,,,,,,,3579,10612 -,,,,,,,3580,10469 -,,,,,,,3581,10672 -,,,,,,,3582,11410 -,,,,,,,3583,13104 -,,,,,,,3584,14561 -,,,,,,,3585,15237 -,,,,,,,3586,15688 -,,,,,,,3587,16061 -,,,,,,,3588,16286 -,,,,,,,3589,16358 -,,,,,,,3590,16482 -,,,,,,,3591,16433 -,,,,,,,3592,16394 -,,,,,,,3593,16437 -,,,,,,,3594,16341 -,,,,,,,3595,15998 -,,,,,,,3596,15745 -,,,,,,,3597,15934 -,,,,,,,3598,15263 -,,,,,,,3599,13719 -,,,,,,,3600,12216 -,,,,,,,3601,11115 -,,,,,,,3602,10483 -,,,,,,,3603,10109 -,,,,,,,3604,9948 -,,,,,,,3605,10114 -,,,,,,,3606,10778 -,,,,,,,3607,12422 -,,,,,,,3608,13940 -,,,,,,,3609,14676 -,,,,,,,3610,15285 -,,,,,,,3611,15819 -,,,,,,,3612,16177 -,,,,,,,3613,16376 -,,,,,,,3614,16637 -,,,,,,,3615,16724 -,,,,,,,3616,16786 -,,,,,,,3617,16788 -,,,,,,,3618,16552 -,,,,,,,3619,16059 -,,,,,,,3620,15556 -,,,,,,,3621,15591 -,,,,,,,3622,15018 -,,,,,,,3623,13437 -,,,,,,,3624,11871 -,,,,,,,3625,10794 -,,,,,,,3626,10138 -,,,,,,,3627,9773 -,,,,,,,3628,9631 -,,,,,,,3629,9748 -,,,,,,,3630,10294 -,,,,,,,3631,11864 -,,,,,,,3632,13268 -,,,,,,,3633,13953 -,,,,,,,3634,14405 -,,,,,,,3635,14780 -,,,,,,,3636,14961 -,,,,,,,3637,14988 -,,,,,,,3638,15067 -,,,,,,,3639,15009 -,,,,,,,3640,14847 -,,,,,,,3641,14626 -,,,,,,,3642,14237 -,,,,,,,3643,13778 -,,,,,,,3644,13556 -,,,,,,,3645,13751 -,,,,,,,3646,13308 -,,,,,,,3647,12187 -,,,,,,,3648,10986 -,,,,,,,3649,10050 -,,,,,,,3650,9496 -,,,,,,,3651,9179 -,,,,,,,3652,9050 -,,,,,,,3653,9086 -,,,,,,,3654,9285 -,,,,,,,3655,9768 -,,,,,,,3656,10664 -,,,,,,,3657,11746 -,,,,,,,3658,12598 -,,,,,,,3659,13158 -,,,,,,,3660,13382 -,,,,,,,3661,13365 -,,,,,,,3662,13213 -,,,,,,,3663,13052 -,,,,,,,3664,12967 -,,,,,,,3665,13054 -,,,,,,,3666,13176 -,,,,,,,3667,13129 -,,,,,,,3668,13030 -,,,,,,,3669,13079 -,,,,,,,3670,12642 -,,,,,,,3671,11745 -,,,,,,,3672,10737 -,,,,,,,3673,9921 -,,,,,,,3674,9357 -,,,,,,,3675,9021 -,,,,,,,3676,8834 -,,,,,,,3677,8800 -,,,,,,,3678,8784 -,,,,,,,3679,9110 -,,,,,,,3680,9887 -,,,,,,,3681,10928 -,,,,,,,3682,11746 -,,,,,,,3683,12260 -,,,,,,,3684,12591 -,,,,,,,3685,12721 -,,,,,,,3686,12668 -,,,,,,,3687,12607 -,,,,,,,3688,12580 -,,,,,,,3689,12688 -,,,,,,,3690,12844 -,,,,,,,3691,12950 -,,,,,,,3692,12984 -,,,,,,,3693,13138 -,,,,,,,3694,12588 -,,,,,,,3695,11494 -,,,,,,,3696,10389 -,,,,,,,3697,9592 -,,,,,,,3698,9129 -,,,,,,,3699,8895 -,,,,,,,3700,8853 -,,,,,,,3701,9095 -,,,,,,,3702,9850 -,,,,,,,3703,11445 -,,,,,,,3704,12808 -,,,,,,,3705,13406 -,,,,,,,3706,13783 -,,,,,,,3707,14092 -,,,,,,,3708,14191 -,,,,,,,3709,14162 -,,,,,,,3710,14114 -,,,,,,,3711,13964 -,,,,,,,3712,13871 -,,,,,,,3713,13951 -,,,,,,,3714,14092 -,,,,,,,3715,13973 -,,,,,,,3716,13808 -,,,,,,,3717,13837 -,,,,,,,3718,13144 -,,,,,,,3719,11806 -,,,,,,,3720,10548 -,,,,,,,3721,9731 -,,,,,,,3722,9291 -,,,,,,,3723,9069 -,,,,,,,3724,9004 -,,,,,,,3725,9225 -,,,,,,,3726,9935 -,,,,,,,3727,11536 -,,,,,,,3728,12867 -,,,,,,,3729,13400 -,,,,,,,3730,13692 -,,,,,,,3731,13935 -,,,,,,,3732,14062 -,,,,,,,3733,14034 -,,,,,,,3734,14036 -,,,,,,,3735,13887 -,,,,,,,3736,13800 -,,,,,,,3737,13840 -,,,,,,,3738,13867 -,,,,,,,3739,13718 -,,,,,,,3740,13673 -,,,,,,,3741,13818 -,,,,,,,3742,13301 -,,,,,,,3743,11973 -,,,,,,,3744,10712 -,,,,,,,3745,9796 -,,,,,,,3746,9311 -,,,,,,,3747,9078 -,,,,,,,3748,8984 -,,,,,,,3749,9224 -,,,,,,,3750,9902 -,,,,,,,3751,11496 -,,,,,,,3752,12830 -,,,,,,,3753,13376 -,,,,,,,3754,13694 -,,,,,,,3755,14001 -,,,,,,,3756,14150 -,,,,,,,3757,14184 -,,,,,,,3758,14235 -,,,,,,,3759,14132 -,,,,,,,3760,14044 -,,,,,,,3761,14041 -,,,,,,,3762,13989 -,,,,,,,3763,13744 -,,,,,,,3764,13635 -,,,,,,,3765,13900 -,,,,,,,3766,13419 -,,,,,,,3767,12027 -,,,,,,,3768,10712 -,,,,,,,3769,9854 -,,,,,,,3770,9354 -,,,,,,,3771,9102 -,,,,,,,3772,9033 -,,,,,,,3773,9256 -,,,,,,,3774,9938 -,,,,,,,3775,11514 -,,,,,,,3776,12792 -,,,,,,,3777,13390 -,,,,,,,3778,13884 -,,,,,,,3779,14304 -,,,,,,,3780,14578 -,,,,,,,3781,14611 -,,,,,,,3782,14707 -,,,,,,,3783,14610 -,,,,,,,3784,14540 -,,,,,,,3785,14501 -,,,,,,,3786,14382 -,,,,,,,3787,14086 -,,,,,,,3788,13931 -,,,,,,,3789,14163 -,,,,,,,3790,13688 -,,,,,,,3791,12334 -,,,,,,,3792,10980 -,,,,,,,3793,10037 -,,,,,,,3794,9545 -,,,,,,,3795,9252 -,,,,,,,3796,9121 -,,,,,,,3797,9331 -,,,,,,,3798,9956 -,,,,,,,3799,11506 -,,,,,,,3800,12907 -,,,,,,,3801,13627 -,,,,,,,3802,14182 -,,,,,,,3803,14686 -,,,,,,,3804,14998 -,,,,,,,3805,15120 -,,,,,,,3806,15311 -,,,,,,,3807,15308 -,,,,,,,3808,15190 -,,,,,,,3809,15089 -,,,,,,,3810,14823 -,,,,,,,3811,14386 -,,,,,,,3812,14106 -,,,,,,,3813,14228 -,,,,,,,3814,13827 -,,,,,,,3815,12656 -,,,,,,,3816,11397 -,,,,,,,3817,10428 -,,,,,,,3818,9804 -,,,,,,,3819,9457 -,,,,,,,3820,9225 -,,,,,,,3821,9182 -,,,,,,,3822,9227 -,,,,,,,3823,9859 -,,,,,,,3824,10932 -,,,,,,,3825,12056 -,,,,,,,3826,12782 -,,,,,,,3827,13187 -,,,,,,,3828,13355 -,,,,,,,3829,13366 -,,,,,,,3830,13271 -,,,,,,,3831,13187 -,,,,,,,3832,13205 -,,,,,,,3833,13346 -,,,,,,,3834,13447 -,,,,,,,3835,13352 -,,,,,,,3836,13201 -,,,,,,,3837,13392 -,,,,,,,3838,13274 -,,,,,,,3839,12352 -,,,,,,,3840,11249 -,,,,,,,3841,10288 -,,,,,,,3842,9688 -,,,,,,,3843,9314 -,,,,,,,3844,9100 -,,,,,,,3845,9000 -,,,,,,,3846,8908 -,,,,,,,3847,9314 -,,,,,,,3848,10258 -,,,,,,,3849,11425 -,,,,,,,3850,12404 -,,,,,,,3851,13069 -,,,,,,,3852,13508 -,,,,,,,3853,13774 -,,,,,,,3854,13847 -,,,,,,,3855,13895 -,,,,,,,3856,13992 -,,,,,,,3857,14180 -,,,,,,,3858,14312 -,,,,,,,3859,14220 -,,,,,,,3860,14020 -,,,,,,,3861,14132 -,,,,,,,3862,13810 -,,,,,,,3863,12489 -,,,,,,,3864,11165 -,,,,,,,3865,10235 -,,,,,,,3866,9697 -,,,,,,,3867,9430 -,,,,,,,3868,9349 -,,,,,,,3869,9557 -,,,,,,,3870,10243 -,,,,,,,3871,11870 -,,,,,,,3872,13336 -,,,,,,,3873,14125 -,,,,,,,3874,14677 -,,,,,,,3875,15106 -,,,,,,,3876,15370 -,,,,,,,3877,15515 -,,,,,,,3878,15656 -,,,,,,,3879,15658 -,,,,,,,3880,15667 -,,,,,,,3881,15684 -,,,,,,,3882,15547 -,,,,,,,3883,15119 -,,,,,,,3884,14771 -,,,,,,,3885,14842 -,,,,,,,3886,14288 -,,,,,,,3887,12797 -,,,,,,,3888,11363 -,,,,,,,3889,10434 -,,,,,,,3890,9866 -,,,,,,,3891,9599 -,,,,,,,3892,9493 -,,,,,,,3893,9726 -,,,,,,,3894,10380 -,,,,,,,3895,12020 -,,,,,,,3896,13464 -,,,,,,,3897,14228 -,,,,,,,3898,14705 -,,,,,,,3899,15110 -,,,,,,,3900,15328 -,,,,,,,3901,15427 -,,,,,,,3902,15608 -,,,,,,,3903,15570 -,,,,,,,3904,15487 -,,,,,,,3905,15454 -,,,,,,,3906,15310 -,,,,,,,3907,15002 -,,,,,,,3908,14807 -,,,,,,,3909,14898 -,,,,,,,3910,14245 -,,,,,,,3911,12839 -,,,,,,,3912,11498 -,,,,,,,3913,10605 -,,,,,,,3914,10097 -,,,,,,,3915,9823 -,,,,,,,3916,9735 -,,,,,,,3917,9928 -,,,,,,,3918,10692 -,,,,,,,3919,12262 -,,,,,,,3920,13731 -,,,,,,,3921,14423 -,,,,,,,3922,14818 -,,,,,,,3923,15123 -,,,,,,,3924,15260 -,,,,,,,3925,15240 -,,,,,,,3926,15271 -,,,,,,,3927,15156 -,,,,,,,3928,15041 -,,,,,,,3929,15071 -,,,,,,,3930,15060 -,,,,,,,3931,14831 -,,,,,,,3932,14603 -,,,,,,,3933,14632 -,,,,,,,3934,14183 -,,,,,,,3935,12825 -,,,,,,,3936,11458 -,,,,,,,3937,10511 -,,,,,,,3938,9958 -,,,,,,,3939,9615 -,,,,,,,3940,9509 -,,,,,,,3941,9689 -,,,,,,,3942,10367 -,,,,,,,3943,11921 -,,,,,,,3944,13358 -,,,,,,,3945,14104 -,,,,,,,3946,14535 -,,,,,,,3947,14885 -,,,,,,,3948,15036 -,,,,,,,3949,15089 -,,,,,,,3950,15207 -,,,,,,,3951,15245 -,,,,,,,3952,15260 -,,,,,,,3953,15282 -,,,,,,,3954,15167 -,,,,,,,3955,14812 -,,,,,,,3956,14475 -,,,,,,,3957,14512 -,,,,,,,3958,14208 -,,,,,,,3959,12823 -,,,,,,,3960,11406 -,,,,,,,3961,10407 -,,,,,,,3962,9782 -,,,,,,,3963,9451 -,,,,,,,3964,9331 -,,,,,,,3965,9487 -,,,,,,,3966,10030 -,,,,,,,3967,11540 -,,,,,,,3968,13001 -,,,,,,,3969,13889 -,,,,,,,3970,14470 -,,,,,,,3971,14907 -,,,,,,,3972,15116 -,,,,,,,3973,15179 -,,,,,,,3974,15303 -,,,,,,,3975,15303 -,,,,,,,3976,15266 -,,,,,,,3977,15230 -,,,,,,,3978,15009 -,,,,,,,3979,14543 -,,,,,,,3980,14102 -,,,,,,,3981,14025 -,,,,,,,3982,13765 -,,,,,,,3983,12591 -,,,,,,,3984,11295 -,,,,,,,3985,10281 -,,,,,,,3986,9671 -,,,,,,,3987,9328 -,,,,,,,3988,9138 -,,,,,,,3989,9093 -,,,,,,,3990,9104 -,,,,,,,3991,9733 -,,,,,,,3992,10825 -,,,,,,,3993,11994 -,,,,,,,3994,12789 -,,,,,,,3995,13216 -,,,,,,,3996,13370 -,,,,,,,3997,13368 -,,,,,,,3998,13247 -,,,,,,,3999,13137 -,,,,,,,4000,13109 -,,,,,,,4001,13150 -,,,,,,,4002,13182 -,,,,,,,4003,13020 -,,,,,,,4004,12776 -,,,,,,,4005,12870 -,,,,,,,4006,12730 -,,,,,,,4007,11825 -,,,,,,,4008,10722 -,,,,,,,4009,9857 -,,,,,,,4010,9314 -,,,,,,,4011,8990 -,,,,,,,4012,8799 -,,,,,,,4013,8760 -,,,,,,,4014,8690 -,,,,,,,4015,9024 -,,,,,,,4016,9836 -,,,,,,,4017,10869 -,,,,,,,4018,11659 -,,,,,,,4019,12142 -,,,,,,,4020,12419 -,,,,,,,4021,12536 -,,,,,,,4022,12472 -,,,,,,,4023,12433 -,,,,,,,4024,12472 -,,,,,,,4025,12619 -,,,,,,,4026,12772 -,,,,,,,4027,12740 -,,,,,,,4028,12639 -,,,,,,,4029,12894 -,,,,,,,4030,12734 -,,,,,,,4031,11634 -,,,,,,,4032,10455 -,,,,,,,4033,9642 -,,,,,,,4034,9166 -,,,,,,,4035,8971 -,,,,,,,4036,8930 -,,,,,,,4037,9182 -,,,,,,,4038,9862 -,,,,,,,4039,11288 -,,,,,,,4040,12718 -,,,,,,,4041,13558 -,,,,,,,4042,14104 -,,,,,,,4043,14542 -,,,,,,,4044,14772 -,,,,,,,4045,14816 -,,,,,,,4046,15021 -,,,,,,,4047,14956 -,,,,,,,4048,14922 -,,,,,,,4049,14946 -,,,,,,,4050,14859 -,,,,,,,4051,14557 -,,,,,,,4052,14264 -,,,,,,,4053,14308 -,,,,,,,4054,13896 -,,,,,,,4055,12489 -,,,,,,,4056,11127 -,,,,,,,4057,10219 -,,,,,,,4058,9671 -,,,,,,,4059,9383 -,,,,,,,4060,9269 -,,,,,,,4061,9483 -,,,,,,,4062,10103 -,,,,,,,4063,11573 -,,,,,,,4064,13059 -,,,,,,,4065,13905 -,,,,,,,4066,14430 -,,,,,,,4067,14873 -,,,,,,,4068,15179 -,,,,,,,4069,15323 -,,,,,,,4070,15515 -,,,,,,,4071,15537 -,,,,,,,4072,15481 -,,,,,,,4073,15485 -,,,,,,,4074,15440 -,,,,,,,4075,15208 -,,,,,,,4076,15028 -,,,,,,,4077,15221 -,,,,,,,4078,14913 -,,,,,,,4079,13573 -,,,,,,,4080,12159 -,,,,,,,4081,11157 -,,,,,,,4082,10562 -,,,,,,,4083,10248 -,,,,,,,4084,10115 -,,,,,,,4085,10311 -,,,,,,,4086,10965 -,,,,,,,4087,12622 -,,,,,,,4088,14563 -,,,,,,,4089,16111 -,,,,,,,4090,17523 -,,,,,,,4091,18871 -,,,,,,,4092,19932 -,,,,,,,4093,20733 -,,,,,,,4094,21462 -,,,,,,,4095,21965 -,,,,,,,4096,22334 -,,,,,,,4097,22621 -,,,,,,,4098,22645 -,,,,,,,4099,22324 -,,,,,,,4100,21841 -,,,,,,,4101,21575 -,,,,,,,4102,20998 -,,,,,,,4103,19104 -,,,,,,,4104,17185 -,,,,,,,4105,15695 -,,,,,,,4106,14764 -,,,,,,,4107,14126 -,,,,,,,4108,13706 -,,,,,,,4109,13640 -,,,,,,,4110,14053 -,,,,,,,4111,15668 -,,,,,,,4112,17606 -,,,,,,,4113,19178 -,,,,,,,4114,20486 -,,,,,,,4115,21568 -,,,,,,,4116,22338 -,,,,,,,4117,22809 -,,,,,,,4118,23192 -,,,,,,,4119,23401 -,,,,,,,4120,23516 -,,,,,,,4121,23585 -,,,,,,,4122,23391 -,,,,,,,4123,22942 -,,,,,,,4124,22276 -,,,,,,,4125,21849 -,,,,,,,4126,21132 -,,,,,,,4127,19181 -,,,,,,,4128,17212 -,,,,,,,4129,15707 -,,,,,,,4130,14715 -,,,,,,,4131,14044 -,,,,,,,4132,13614 -,,,,,,,4133,13594 -,,,,,,,4134,13992 -,,,,,,,4135,15507 -,,,,,,,4136,17405 -,,,,,,,4137,18975 -,,,,,,,4138,20292 -,,,,,,,4139,21373 -,,,,,,,4140,22232 -,,,,,,,4141,22799 -,,,,,,,4142,23125 -,,,,,,,4143,23063 -,,,,,,,4144,22757 -,,,,,,,4145,22042 -,,,,,,,4146,21095 -,,,,,,,4147,19943 -,,,,,,,4148,19008 -,,,,,,,4149,18578 -,,,,,,,4150,17878 -,,,,,,,4151,16439 -,,,,,,,4152,14884 -,,,,,,,4153,13627 -,,,,,,,4154,12844 -,,,,,,,4155,12295 -,,,,,,,4156,11956 -,,,,,,,4157,11850 -,,,,,,,4158,11906 -,,,,,,,4159,12336 -,,,,,,,4160,13179 -,,,,,,,4161,14315 -,,,,,,,4162,15350 -,,,,,,,4163,16249 -,,,,,,,4164,16913 -,,,,,,,4165,17323 -,,,,,,,4166,17511 -,,,,,,,4167,17631 -,,,,,,,4168,17677 -,,,,,,,4169,17529 -,,,,,,,4170,16983 -,,,,,,,4171,16180 -,,,,,,,4172,15468 -,,,,,,,4173,15093 -,,,,,,,4174,14737 -,,,,,,,4175,13678 -,,,,,,,4176,12447 -,,,,,,,4177,11486 -,,,,,,,4178,10781 -,,,,,,,4179,10326 -,,,,,,,4180,10050 -,,,,,,,4181,9930 -,,,,,,,4182,9788 -,,,,,,,4183,10214 -,,,,,,,4184,11182 -,,,,,,,4185,12381 -,,,,,,,4186,13429 -,,,,,,,4187,14183 -,,,,,,,4188,14704 -,,,,,,,4189,15037 -,,,,,,,4190,15256 -,,,,,,,4191,15494 -,,,,,,,4192,15739 -,,,,,,,4193,15958 -,,,,,,,4194,15963 -,,,,,,,4195,15802 -,,,,,,,4196,15532 -,,,,,,,4197,15644 -,,,,,,,4198,15426 -,,,,,,,4199,14222 -,,,,,,,4200,12890 -,,,,,,,4201,11876 -,,,,,,,4202,11261 -,,,,,,,4203,10911 -,,,,,,,4204,10789 -,,,,,,,4205,10974 -,,,,,,,4206,11585 -,,,,,,,4207,12979 -,,,,,,,4208,14528 -,,,,,,,4209,15418 -,,,,,,,4210,15907 -,,,,,,,4211,16261 -,,,,,,,4212,16328 -,,,,,,,4213,16266 -,,,,,,,4214,16214 -,,,,,,,4215,16150 -,,,,,,,4216,16113 -,,,,,,,4217,16013 -,,,,,,,4218,15907 -,,,,,,,4219,15575 -,,,,,,,4220,15185 -,,,,,,,4221,15118 -,,,,,,,4222,14602 -,,,,,,,4223,13216 -,,,,,,,4224,11844 -,,,,,,,4225,10872 -,,,,,,,4226,10283 -,,,,,,,4227,9961 -,,,,,,,4228,9801 -,,,,,,,4229,9947 -,,,,,,,4230,10476 -,,,,,,,4231,11765 -,,,,,,,4232,13132 -,,,,,,,4233,13987 -,,,,,,,4234,14538 -,,,,,,,4235,15062 -,,,,,,,4236,15346 -,,,,,,,4237,15482 -,,,,,,,4238,15562 -,,,,,,,4239,15514 -,,,,,,,4240,15361 -,,,,,,,4241,15282 -,,,,,,,4242,15154 -,,,,,,,4243,14813 -,,,,,,,4244,14481 -,,,,,,,4245,14483 -,,,,,,,4246,14039 -,,,,,,,4247,12761 -,,,,,,,4248,11417 -,,,,,,,4249,10506 -,,,,,,,4250,9949 -,,,,,,,4251,9617 -,,,,,,,4252,9526 -,,,,,,,4253,9695 -,,,,,,,4254,10283 -,,,,,,,4255,11585 -,,,,,,,4256,13005 -,,,,,,,4257,13918 -,,,,,,,4258,14557 -,,,,,,,4259,15112 -,,,,,,,4260,15458 -,,,,,,,4261,15640 -,,,,,,,4262,15868 -,,,,,,,4263,15946 -,,,,,,,4264,15926 -,,,,,,,4265,15905 -,,,,,,,4266,15785 -,,,,,,,4267,15445 -,,,,,,,4268,15116 -,,,,,,,4269,15081 -,,,,,,,4270,14728 -,,,,,,,4271,13412 -,,,,,,,4272,12035 -,,,,,,,4273,11023 -,,,,,,,4274,10411 -,,,,,,,4275,10054 -,,,,,,,4276,9868 -,,,,,,,4277,10019 -,,,,,,,4278,10581 -,,,,,,,4279,11935 -,,,,,,,4280,13548 -,,,,,,,4281,14682 -,,,,,,,4282,15503 -,,,,,,,4283,16236 -,,,,,,,4284,16761 -,,,,,,,4285,17136 -,,,,,,,4286,17456 -,,,,,,,4287,17769 -,,,,,,,4288,17977 -,,,,,,,4289,18227 -,,,,,,,4290,18254 -,,,,,,,4291,17912 -,,,,,,,4292,17372 -,,,,,,,4293,17196 -,,,,,,,4294,16777 -,,,,,,,4295,15267 -,,,,,,,4296,13642 -,,,,,,,4297,12408 -,,,,,,,4298,11646 -,,,,,,,4299,11198 -,,,,,,,4300,10993 -,,,,,,,4301,11122 -,,,,,,,4302,11722 -,,,,,,,4303,13004 -,,,,,,,4304,14563 -,,,,,,,4305,15582 -,,,,,,,4306,16286 -,,,,,,,4307,17039 -,,,,,,,4308,17870 -,,,,,,,4309,18700 -,,,,,,,4310,19594 -,,,,,,,4311,20293 -,,,,,,,4312,20698 -,,,,,,,4313,21027 -,,,,,,,4314,21035 -,,,,,,,4315,20562 -,,,,,,,4316,19775 -,,,,,,,4317,19206 -,,,,,,,4318,18449 -,,,,,,,4319,16753 -,,,,,,,4320,14907 -,,,,,,,4321,13436 -,,,,,,,4322,12419 -,,,,,,,4323,11734 -,,,,,,,4324,11311 -,,,,,,,4325,11131 -,,,,,,,4326,11053 -,,,,,,,4327,11731 -,,,,,,,4328,13071 -,,,,,,,4329,14623 -,,,,,,,4330,15974 -,,,,,,,4331,17034 -,,,,,,,4332,17725 -,,,,,,,4333,18137 -,,,,,,,4334,18453 -,,,,,,,4335,18687 -,,,,,,,4336,18924 -,,,,,,,4337,19106 -,,,,,,,4338,19048 -,,,,,,,4339,18626 -,,,,,,,4340,18027 -,,,,,,,4341,17664 -,,,,,,,4342,17321 -,,,,,,,4343,16068 -,,,,,,,4344,14629 -,,,,,,,4345,13402 -,,,,,,,4346,12536 -,,,,,,,4347,11922 -,,,,,,,4348,11546 -,,,,,,,4349,11331 -,,,,,,,4350,11145 -,,,,,,,4351,11559 -,,,,,,,4352,12690 -,,,,,,,4353,14209 -,,,,,,,4354,15684 -,,,,,,,4355,16877 -,,,,,,,4356,17818 -,,,,,,,4357,18474 -,,,,,,,4358,18912 -,,,,,,,4359,19098 -,,,,,,,4360,18836 -,,,,,,,4361,18543 -,,,,,,,4362,18462 -,,,,,,,4363,18329 -,,,,,,,4364,17884 -,,,,,,,4365,17599 -,,,,,,,4366,17134 -,,,,,,,4367,15663 -,,,,,,,4368,14052 -,,,,,,,4369,12868 -,,,,,,,4370,12099 -,,,,,,,4371,11601 -,,,,,,,4372,11360 -,,,,,,,4373,11472 -,,,,,,,4374,11905 -,,,,,,,4375,13254 -,,,,,,,4376,14937 -,,,,,,,4377,16236 -,,,,,,,4378,17286 -,,,,,,,4379,18111 -,,,,,,,4380,18632 -,,,,,,,4381,18913 -,,,,,,,4382,19172 -,,,,,,,4383,19319 -,,,,,,,4384,19254 -,,,,,,,4385,19192 -,,,,,,,4386,19064 -,,,,,,,4387,18630 -,,,,,,,4388,17968 -,,,,,,,4389,17519 -,,,,,,,4390,16948 -,,,,,,,4391,15360 -,,,,,,,4392,13681 -,,,,,,,4393,12444 -,,,,,,,4394,11711 -,,,,,,,4395,11210 -,,,,,,,4396,10957 -,,,,,,,4397,11003 -,,,,,,,4398,11401 -,,,,,,,4399,12709 -,,,,,,,4400,14368 -,,,,,,,4401,15632 -,,,,,,,4402,16640 -,,,,,,,4403,17415 -,,,,,,,4404,17927 -,,,,,,,4405,18271 -,,,,,,,4406,18608 -,,,,,,,4407,18834 -,,,,,,,4408,18984 -,,,,,,,4409,19084 -,,,,,,,4410,18893 -,,,,,,,4411,18152 -,,,,,,,4412,17286 -,,,,,,,4413,16937 -,,,,,,,4414,16305 -,,,,,,,4415,15112 -,,,,,,,4416,13806 -,,,,,,,4417,12709 -,,,,,,,4418,11955 -,,,,,,,4419,11470 -,,,,,,,4420,11245 -,,,,,,,4421,11261 -,,,,,,,4422,11396 -,,,,,,,4423,11767 -,,,,,,,4424,12439 -,,,,,,,4425,13366 -,,,,,,,4426,14526 -,,,,,,,4427,15714 -,,,,,,,4428,16673 -,,,,,,,4429,17354 -,,,,,,,4430,17690 -,,,,,,,4431,17894 -,,,,,,,4432,18100 -,,,,,,,4433,18328 -,,,,,,,4434,18441 -,,,,,,,4435,18119 -,,,,,,,4436,17564 -,,,,,,,4437,17305 -,,,,,,,4438,16845 -,,,,,,,4439,15938 -,,,,,,,4440,14674 -,,,,,,,4441,13561 -,,,,,,,4442,12786 -,,,,,,,4443,12293 -,,,,,,,4444,12011 -,,,,,,,4445,12065 -,,,,,,,4446,12460 -,,,,,,,4447,13790 -,,,,,,,4448,15535 -,,,,,,,4449,16953 -,,,,,,,4450,18026 -,,,,,,,4451,18839 -,,,,,,,4452,19340 -,,,,,,,4453,19644 -,,,,,,,4454,19902 -,,,,,,,4455,20058 -,,,,,,,4456,20072 -,,,,,,,4457,20024 -,,,,,,,4458,19869 -,,,,,,,4459,19349 -,,,,,,,4460,18640 -,,,,,,,4461,18213 -,,,,,,,4462,17630 -,,,,,,,4463,16020 -,,,,,,,4464,14313 -,,,,,,,4465,13038 -,,,,,,,4466,12213 -,,,,,,,4467,11677 -,,,,,,,4468,11372 -,,,,,,,4469,11375 -,,,,,,,4470,11735 -,,,,,,,4471,13012 -,,,,,,,4472,14717 -,,,,,,,4473,16154 -,,,,,,,4474,17362 -,,,,,,,4475,18375 -,,,,,,,4476,19071 -,,,,,,,4477,19525 -,,,,,,,4478,20002 -,,,,,,,4479,20302 -,,,,,,,4480,20540 -,,,,,,,4481,20666 -,,,,,,,4482,20596 -,,,,,,,4483,19909 -,,,,,,,4484,19127 -,,,,,,,4485,18861 -,,,,,,,4486,18284 -,,,,,,,4487,16839 -,,,,,,,4488,15272 -,,,,,,,4489,14053 -,,,,,,,4490,13229 -,,,,,,,4491,12668 -,,,,,,,4492,12315 -,,,,,,,4493,12169 -,,,,,,,4494,12150 -,,,,,,,4495,12659 -,,,,,,,4496,13867 -,,,,,,,4497,15404 -,,,,,,,4498,16710 -,,,,,,,4499,17611 -,,,,,,,4500,18238 -,,,,,,,4501,18665 -,,,,,,,4502,18660 -,,,,,,,4503,18262 -,,,,,,,4504,17885 -,,,,,,,4505,17880 -,,,,,,,4506,17988 -,,,,,,,4507,17784 -,,,,,,,4508,17303 -,,,,,,,4509,17034 -,,,,,,,4510,16729 -,,,,,,,4511,15611 -,,,,,,,4512,14274 -,,,,,,,4513,13087 -,,,,,,,4514,12268 -,,,,,,,4515,11699 -,,,,,,,4516,11336 -,,,,,,,4517,11131 -,,,,,,,4518,10933 -,,,,,,,4519,11321 -,,,,,,,4520,12389 -,,,,,,,4521,13802 -,,,,,,,4522,15125 -,,,,,,,4523,16228 -,,,,,,,4524,17112 -,,,,,,,4525,17689 -,,,,,,,4526,18001 -,,,,,,,4527,18229 -,,,,,,,4528,18446 -,,,,,,,4529,18714 -,,,,,,,4530,18865 -,,,,,,,4531,18594 -,,,,,,,4532,18029 -,,,,,,,4533,17840 -,,,,,,,4534,17415 -,,,,,,,4535,15915 -,,,,,,,4536,14238 -,,,,,,,4537,12933 -,,,,,,,4538,12055 -,,,,,,,4539,11500 -,,,,,,,4540,11189 -,,,,,,,4541,11220 -,,,,,,,4542,11625 -,,,,,,,4543,12941 -,,,,,,,4544,14528 -,,,,,,,4545,15631 -,,,,,,,4546,16509 -,,,,,,,4547,17208 -,,,,,,,4548,17677 -,,,,,,,4549,18014 -,,,,,,,4550,18377 -,,,,,,,4551,18592 -,,,,,,,4552,18724 -,,,,,,,4553,18844 -,,,,,,,4554,18774 -,,,,,,,4555,18258 -,,,,,,,4556,17558 -,,,,,,,4557,17179 -,,,,,,,4558,16567 -,,,,,,,4559,14944 -,,,,,,,4560,13291 -,,,,,,,4561,12088 -,,,,,,,4562,11332 -,,,,,,,4563,10850 -,,,,,,,4564,10627 -,,,,,,,4565,10693 -,,,,,,,4566,11095 -,,,,,,,4567,12417 -,,,,,,,4568,13994 -,,,,,,,4569,15112 -,,,,,,,4570,15980 -,,,,,,,4571,16735 -,,,,,,,4572,17238 -,,,,,,,4573,17598 -,,,,,,,4574,18027 -,,,,,,,4575,18362 -,,,,,,,4576,18608 -,,,,,,,4577,18769 -,,,,,,,4578,18682 -,,,,,,,4579,18223 -,,,,,,,4580,17555 -,,,,,,,4581,17270 -,,,,,,,4582,16791 -,,,,,,,4583,15216 -,,,,,,,4584,13614 -,,,,,,,4585,12433 -,,,,,,,4586,11685 -,,,,,,,4587,11231 -,,,,,,,4588,11022 -,,,,,,,4589,11110 -,,,,,,,4590,11577 -,,,,,,,4591,12908 -,,,,,,,4592,14532 -,,,,,,,4593,15762 -,,,,,,,4594,16731 -,,,,,,,4595,17590 -,,,,,,,4596,18283 -,,,,,,,4597,18753 -,,,,,,,4598,19139 -,,,,,,,4599,19340 -,,,,,,,4600,19481 -,,,,,,,4601,19649 -,,,,,,,4602,19605 -,,,,,,,4603,19123 -,,,,,,,4604,18397 -,,,,,,,4605,18042 -,,,,,,,4606,17532 -,,,,,,,4607,15923 -,,,,,,,4608,14231 -,,,,,,,4609,12998 -,,,,,,,4610,12194 -,,,,,,,4611,11656 -,,,,,,,4612,11376 -,,,,,,,4613,11435 -,,,,,,,4614,11903 -,,,,,,,4615,13313 -,,,,,,,4616,14984 -,,,,,,,4617,16284 -,,,,,,,4618,17371 -,,,,,,,4619,18441 -,,,,,,,4620,19279 -,,,,,,,4621,19726 -,,,,,,,4622,20213 -,,,,,,,4623,20545 -,,,,,,,4624,20756 -,,,,,,,4625,20906 -,,,,,,,4626,20735 -,,,,,,,4627,20152 -,,,,,,,4628,19267 -,,,,,,,4629,18845 -,,,,,,,4630,18183 -,,,,,,,4631,16490 -,,,,,,,4632,14749 -,,,,,,,4633,13404 -,,,,,,,4634,12543 -,,,,,,,4635,12016 -,,,,,,,4636,11726 -,,,,,,,4637,11784 -,,,,,,,4638,12260 -,,,,,,,4639,13580 -,,,,,,,4640,15318 -,,,,,,,4641,16724 -,,,,,,,4642,17948 -,,,,,,,4643,19040 -,,,,,,,4644,19903 -,,,,,,,4645,20533 -,,,,,,,4646,21043 -,,,,,,,4647,21224 -,,,,,,,4648,21192 -,,,,,,,4649,21053 -,,,,,,,4650,20582 -,,,,,,,4651,19738 -,,,,,,,4652,18919 -,,,,,,,4653,18609 -,,,,,,,4654,18020 -,,,,,,,4655,16521 -,,,,,,,4656,14943 -,,,,,,,4657,13710 -,,,,,,,4658,12929 -,,,,,,,4659,12414 -,,,,,,,4660,12109 -,,,,,,,4661,12021 -,,,,,,,4662,12166 -,,,,,,,4663,12668 -,,,,,,,4664,13662 -,,,,,,,4665,15004 -,,,,,,,4666,16206 -,,,,,,,4667,17101 -,,,,,,,4668,17831 -,,,,,,,4669,18393 -,,,,,,,4670,18856 -,,,,,,,4671,19304 -,,,,,,,4672,19659 -,,,,,,,4673,19896 -,,,,,,,4674,19920 -,,,,,,,4675,19539 -,,,,,,,4676,18848 -,,,,,,,4677,18530 -,,,,,,,4678,18079 -,,,,,,,4679,16721 -,,,,,,,4680,15202 -,,,,,,,4681,13940 -,,,,,,,4682,13049 -,,,,,,,4683,12439 -,,,,,,,4684,12038 -,,,,,,,4685,11812 -,,,,,,,4686,11637 -,,,,,,,4687,11968 -,,,,,,,4688,13083 -,,,,,,,4689,14623 -,,,,,,,4690,16125 -,,,,,,,4691,17454 -,,,,,,,4692,18526 -,,,,,,,4693,19139 -,,,,,,,4694,19257 -,,,,,,,4695,19268 -,,,,,,,4696,19296 -,,,,,,,4697,19332 -,,,,,,,4698,19322 -,,,,,,,4699,19009 -,,,,,,,4700,18736 -,,,,,,,4701,18799 -,,,,,,,4702,18119 -,,,,,,,4703,16702 -,,,,,,,4704,15231 -,,,,,,,4705,14170 -,,,,,,,4706,13491 -,,,,,,,4707,13056 -,,,,,,,4708,12827 -,,,,,,,4709,12915 -,,,,,,,4710,13504 -,,,,,,,4711,14917 -,,,,,,,4712,16790 -,,,,,,,4713,18245 -,,,,,,,4714,19414 -,,,,,,,4715,20442 -,,,,,,,4716,21270 -,,,,,,,4717,21907 -,,,,,,,4718,22457 -,,,,,,,4719,22574 -,,,,,,,4720,22619 -,,,,,,,4721,22576 -,,,,,,,4722,22409 -,,,,,,,4723,21887 -,,,,,,,4724,21200 -,,,,,,,4725,20931 -,,,,,,,4726,20099 -,,,,,,,4727,18179 -,,,,,,,4728,16280 -,,,,,,,4729,14935 -,,,,,,,4730,14062 -,,,,,,,4731,13498 -,,,,,,,4732,13146 -,,,,,,,4733,13178 -,,,,,,,4734,13712 -,,,,,,,4735,15192 -,,,,,,,4736,17114 -,,,,,,,4737,18656 -,,,,,,,4738,20020 -,,,,,,,4739,21201 -,,,,,,,4740,22009 -,,,,,,,4741,22567 -,,,,,,,4742,23070 -,,,,,,,4743,23388 -,,,,,,,4744,23629 -,,,,,,,4745,23770 -,,,,,,,4746,23575 -,,,,,,,4747,23034 -,,,,,,,4748,22325 -,,,,,,,4749,21921 -,,,,,,,4750,21122 -,,,,,,,4751,19311 -,,,,,,,4752,17514 -,,,,,,,4753,16250 -,,,,,,,4754,15465 -,,,,,,,4755,14968 -,,,,,,,4756,14669 -,,,,,,,4757,14653 -,,,,,,,4758,15166 -,,,,,,,4759,16509 -,,,,,,,4760,18482 -,,,,,,,4761,19867 -,,,,,,,4762,20982 -,,,,,,,4763,22131 -,,,,,,,4764,23007 -,,,,,,,4765,23558 -,,,,,,,4766,23575 -,,,,,,,4767,23022 -,,,,,,,4768,21947 -,,,,,,,4769,21132 -,,,,,,,4770,20783 -,,,,,,,4771,20254 -,,,,,,,4772,19748 -,,,,,,,4773,19598 -,,,,,,,4774,18960 -,,,,,,,4775,17351 -,,,,,,,4776,15670 -,,,,,,,4777,14379 -,,,,,,,4778,13452 -,,,,,,,4779,12861 -,,,,,,,4780,12500 -,,,,,,,4781,12479 -,,,,,,,4782,12920 -,,,,,,,4783,13992 -,,,,,,,4784,15296 -,,,,,,,4785,16055 -,,,,,,,4786,16582 -,,,,,,,4787,17096 -,,,,,,,4788,17452 -,,,,,,,4789,17668 -,,,,,,,4790,17979 -,,,,,,,4791,18090 -,,,,,,,4792,18229 -,,,,,,,4793,18373 -,,,,,,,4794,18322 -,,,,,,,4795,17795 -,,,,,,,4796,17159 -,,,,,,,4797,17055 -,,,,,,,4798,16463 -,,,,,,,4799,15028 -,,,,,,,4800,13517 -,,,,,,,4801,12384 -,,,,,,,4802,11725 -,,,,,,,4803,11307 -,,,,,,,4804,11118 -,,,,,,,4805,11231 -,,,,,,,4806,11798 -,,,,,,,4807,12933 -,,,,,,,4808,14273 -,,,,,,,4809,15155 -,,,,,,,4810,15614 -,,,,,,,4811,15917 -,,,,,,,4812,15969 -,,,,,,,4813,15892 -,,,,,,,4814,15875 -,,,,,,,4815,15719 -,,,,,,,4816,15491 -,,,,,,,4817,15368 -,,,,,,,4818,15206 -,,,,,,,4819,14837 -,,,,,,,4820,14531 -,,,,,,,4821,14655 -,,,,,,,4822,14290 -,,,,,,,4823,13182 -,,,,,,,4824,11938 -,,,,,,,4825,10962 -,,,,,,,4826,10327 -,,,,,,,4827,9939 -,,,,,,,4828,9725 -,,,,,,,4829,9693 -,,,,,,,4830,9766 -,,,,,,,4831,10261 -,,,,,,,4832,11289 -,,,,,,,4833,12518 -,,,,,,,4834,13453 -,,,,,,,4835,14046 -,,,,,,,4836,14391 -,,,,,,,4837,14566 -,,,,,,,4838,14653 -,,,,,,,4839,14734 -,,,,,,,4840,14856 -,,,,,,,4841,15047 -,,,,,,,4842,15139 -,,,,,,,4843,14949 -,,,,,,,4844,14486 -,,,,,,,4845,14436 -,,,,,,,4846,14121 -,,,,,,,4847,13100 -,,,,,,,4848,11970 -,,,,,,,4849,11008 -,,,,,,,4850,10390 -,,,,,,,4851,10000 -,,,,,,,4852,9758 -,,,,,,,4853,9662 -,,,,,,,4854,9567 -,,,,,,,4855,9859 -,,,,,,,4856,10742 -,,,,,,,4857,11949 -,,,,,,,4858,13044 -,,,,,,,4859,13944 -,,,,,,,4860,14673 -,,,,,,,4861,15190 -,,,,,,,4862,15488 -,,,,,,,4863,15763 -,,,,,,,4864,16042 -,,,,,,,4865,16412 -,,,,,,,4866,16643 -,,,,,,,4867,16465 -,,,,,,,4868,16024 -,,,,,,,4869,16034 -,,,,,,,4870,15632 -,,,,,,,4871,14413 -,,,,,,,4872,13088 -,,,,,,,4873,12091 -,,,,,,,4874,11445 -,,,,,,,4875,11075 -,,,,,,,4876,10947 -,,,,,,,4877,11169 -,,,,,,,4878,11880 -,,,,,,,4879,13157 -,,,,,,,4880,14670 -,,,,,,,4881,15780 -,,,,,,,4882,16607 -,,,,,,,4883,17383 -,,,,,,,4884,18004 -,,,,,,,4885,18435 -,,,,,,,4886,19057 -,,,,,,,4887,19541 -,,,,,,,4888,19899 -,,,,,,,4889,20115 -,,,,,,,4890,20034 -,,,,,,,4891,19565 -,,,,,,,4892,19069 -,,,,,,,4893,19105 -,,,,,,,4894,18392 -,,,,,,,4895,16796 -,,,,,,,4896,15156 -,,,,,,,4897,13967 -,,,,,,,4898,13229 -,,,,,,,4899,12764 -,,,,,,,4900,12552 -,,,,,,,4901,12652 -,,,,,,,4902,13216 -,,,,,,,4903,14428 -,,,,,,,4904,16085 -,,,,,,,4905,17514 -,,,,,,,4906,18688 -,,,,,,,4907,19731 -,,,,,,,4908,20408 -,,,,,,,4909,20997 -,,,,,,,4910,21505 -,,,,,,,4911,21698 -,,,,,,,4912,21509 -,,,,,,,4913,21142 -,,,,,,,4914,20672 -,,,,,,,4915,19932 -,,,,,,,4916,19177 -,,,,,,,4917,18844 -,,,,,,,4918,17826 -,,,,,,,4919,15958 -,,,,,,,4920,14149 -,,,,,,,4921,12773 -,,,,,,,4922,11886 -,,,,,,,4923,11337 -,,,,,,,4924,11016 -,,,,,,,4925,11058 -,,,,,,,4926,11542 -,,,,,,,4927,12708 -,,,,,,,4928,14207 -,,,,,,,4929,15263 -,,,,,,,4930,15986 -,,,,,,,4931,16553 -,,,,,,,4932,16919 -,,,,,,,4933,17169 -,,,,,,,4934,17525 -,,,,,,,4935,17824 -,,,,,,,4936,18098 -,,,,,,,4937,18337 -,,,,,,,4938,18327 -,,,,,,,4939,17837 -,,,,,,,4940,17199 -,,,,,,,4941,17224 -,,,,,,,4942,16567 -,,,,,,,4943,15063 -,,,,,,,4944,13523 -,,,,,,,4945,12455 -,,,,,,,4946,11750 -,,,,,,,4947,11328 -,,,,,,,4948,11161 -,,,,,,,4949,11311 -,,,,,,,4950,12022 -,,,,,,,4951,13332 -,,,,,,,4952,14757 -,,,,,,,4953,15709 -,,,,,,,4954,16361 -,,,,,,,4955,16848 -,,,,,,,4956,17129 -,,,,,,,4957,17369 -,,,,,,,4958,17879 -,,,,,,,4959,18328 -,,,,,,,4960,18742 -,,,,,,,4961,19158 -,,,,,,,4962,19383 -,,,,,,,4963,19178 -,,,,,,,4964,18893 -,,,,,,,4965,18700 -,,,,,,,4966,17773 -,,,,,,,4967,16233 -,,,,,,,4968,14701 -,,,,,,,4969,13577 -,,,,,,,4970,12816 -,,,,,,,4971,12316 -,,,,,,,4972,12065 -,,,,,,,4973,12173 -,,,,,,,4974,12859 -,,,,,,,4975,14061 -,,,,,,,4976,15452 -,,,,,,,4977,16445 -,,,,,,,4978,17258 -,,,,,,,4979,17971 -,,,,,,,4980,18485 -,,,,,,,4981,18806 -,,,,,,,4982,19022 -,,,,,,,4983,19020 -,,,,,,,4984,18923 -,,,,,,,4985,18809 -,,,,,,,4986,18647 -,,,,,,,4987,18192 -,,,,,,,4988,17638 -,,,,,,,4989,17437 -,,,,,,,4990,16896 -,,,,,,,4991,15603 -,,,,,,,4992,14187 -,,,,,,,4993,13021 -,,,,,,,4994,12200 -,,,,,,,4995,11659 -,,,,,,,4996,11330 -,,,,,,,4997,11256 -,,,,,,,4998,11356 -,,,,,,,4999,11791 -,,,,,,,5000,12835 -,,,,,,,5001,14153 -,,,,,,,5002,15332 -,,,,,,,5003,16171 -,,,,,,,5004,16616 -,,,,,,,5005,16787 -,,,,,,,5006,16799 -,,,,,,,5007,16666 -,,,,,,,5008,16283 -,,,,,,,5009,15951 -,,,,,,,5010,15793 -,,,,,,,5011,15550 -,,,,,,,5012,15343 -,,,,,,,5013,15349 -,,,,,,,5014,14802 -,,,,,,,5015,13832 -,,,,,,,5016,12746 -,,,,,,,5017,11801 -,,,,,,,5018,11186 -,,,,,,,5019,10784 -,,,,,,,5020,10550 -,,,,,,,5021,10495 -,,,,,,,5022,10577 -,,,,,,,5023,10760 -,,,,,,,5024,11461 -,,,,,,,5025,12458 -,,,,,,,5026,13352 -,,,,,,,5027,13970 -,,,,,,,5028,14434 -,,,,,,,5029,14714 -,,,,,,,5030,14748 -,,,,,,,5031,14701 -,,,,,,,5032,14632 -,,,,,,,5033,14775 -,,,,,,,5034,14979 -,,,,,,,5035,14894 -,,,,,,,5036,14682 -,,,,,,,5037,14842 -,,,,,,,5038,14404 -,,,,,,,5039,13315 -,,,,,,,5040,12130 -,,,,,,,5041,11195 -,,,,,,,5042,10613 -,,,,,,,5043,10283 -,,,,,,,5044,10149 -,,,,,,,5045,10360 -,,,,,,,5046,10985 -,,,,,,,5047,12202 -,,,,,,,5048,13767 -,,,,,,,5049,14968 -,,,,,,,5050,15863 -,,,,,,,5051,16645 -,,,,,,,5052,17216 -,,,,,,,5053,17644 -,,,,,,,5054,18117 -,,,,,,,5055,18425 -,,,,,,,5056,18594 -,,,,,,,5057,18739 -,,,,,,,5058,18634 -,,,,,,,5059,18135 -,,,,,,,5060,17458 -,,,,,,,5061,17299 -,,,,,,,5062,16508 -,,,,,,,5063,14885 -,,,,,,,5064,13288 -,,,,,,,5065,12128 -,,,,,,,5066,11407 -,,,,,,,5067,10980 -,,,,,,,5068,10767 -,,,,,,,5069,10896 -,,,,,,,5070,11497 -,,,,,,,5071,12689 -,,,,,,,5072,14174 -,,,,,,,5073,15234 -,,,,,,,5074,15992 -,,,,,,,5075,16647 -,,,,,,,5076,17050 -,,,,,,,5077,17282 -,,,,,,,5078,17544 -,,,,,,,5079,17547 -,,,,,,,5080,17362 -,,,,,,,5081,17181 -,,,,,,,5082,16992 -,,,,,,,5083,16682 -,,,,,,,5084,16448 -,,,,,,,5085,16554 -,,,,,,,5086,15813 -,,,,,,,5087,14431 -,,,,,,,5088,13083 -,,,,,,,5089,12066 -,,,,,,,5090,11426 -,,,,,,,5091,11037 -,,,,,,,5092,10875 -,,,,,,,5093,11045 -,,,,,,,5094,11734 -,,,,,,,5095,12974 -,,,,,,,5096,14507 -,,,,,,,5097,15643 -,,,,,,,5098,16585 -,,,,,,,5099,17418 -,,,,,,,5100,18028 -,,,,,,,5101,18487 -,,,,,,,5102,18894 -,,,,,,,5103,19031 -,,,,,,,5104,18852 -,,,,,,,5105,18697 -,,,,,,,5106,18471 -,,,,,,,5107,18049 -,,,,,,,5108,17654 -,,,,,,,5109,17682 -,,,,,,,5110,16985 -,,,,,,,5111,15460 -,,,,,,,5112,13948 -,,,,,,,5113,12863 -,,,,,,,5114,12167 -,,,,,,,5115,11726 -,,,,,,,5116,11578 -,,,,,,,5117,11726 -,,,,,,,5118,12417 -,,,,,,,5119,13676 -,,,,,,,5120,15277 -,,,,,,,5121,16579 -,,,,,,,5122,17740 -,,,,,,,5123,18839 -,,,,,,,5124,19694 -,,,,,,,5125,20283 -,,,,,,,5126,20855 -,,,,,,,5127,21204 -,,,,,,,5128,21421 -,,,,,,,5129,21524 -,,,,,,,5130,21422 -,,,,,,,5131,20941 -,,,,,,,5132,20276 -,,,,,,,5133,20115 -,,,,,,,5134,19256 -,,,,,,,5135,17486 -,,,,,,,5136,15772 -,,,,,,,5137,14400 -,,,,,,,5138,13525 -,,,,,,,5139,12921 -,,,,,,,5140,12611 -,,,,,,,5141,12672 -,,,,,,,5142,13282 -,,,,,,,5143,14507 -,,,,,,,5144,16111 -,,,,,,,5145,17560 -,,,,,,,5146,18855 -,,,,,,,5147,20109 -,,,,,,,5148,21039 -,,,,,,,5149,21679 -,,,,,,,5150,22233 -,,,,,,,5151,22602 -,,,,,,,5152,22734 -,,,,,,,5153,22722 -,,,,,,,5154,22421 -,,,,,,,5155,21697 -,,,,,,,5156,20965 -,,,,,,,5157,20793 -,,,,,,,5158,20003 -,,,,,,,5159,18398 -,,,,,,,5160,16711 -,,,,,,,5161,15227 -,,,,,,,5162,14290 -,,,,,,,5163,13602 -,,,,,,,5164,13163 -,,,,,,,5165,12969 -,,,,,,,5166,13025 -,,,,,,,5167,13474 -,,,,,,,5168,14693 -,,,,,,,5169,16292 -,,,,,,,5170,17763 -,,,,,,,5171,19052 -,,,,,,,5172,20003 -,,,,,,,5173,20595 -,,,,,,,5174,20945 -,,,,,,,5175,21142 -,,,,,,,5176,21161 -,,,,,,,5177,20979 -,,,,,,,5178,20586 -,,,,,,,5179,19892 -,,,,,,,5180,19214 -,,,,,,,5181,19129 -,,,,,,,5182,18423 -,,,,,,,5183,17135 -,,,,,,,5184,15746 -,,,,,,,5185,14611 -,,,,,,,5186,13795 -,,,,,,,5187,13269 -,,,,,,,5188,12933 -,,,,,,,5189,12813 -,,,,,,,5190,12857 -,,,,,,,5191,13129 -,,,,,,,5192,14093 -,,,,,,,5193,15485 -,,,,,,,5194,16963 -,,,,,,,5195,18187 -,,,,,,,5196,19187 -,,,,,,,5197,19931 -,,,,,,,5198,20278 -,,,,,,,5199,20379 -,,,,,,,5200,20388 -,,,,,,,5201,20254 -,,,,,,,5202,19839 -,,,,,,,5203,19429 -,,,,,,,5204,19127 -,,,,,,,5205,19019 -,,,,,,,5206,18249 -,,,,,,,5207,16919 -,,,,,,,5208,15507 -,,,,,,,5209,14358 -,,,,,,,5210,13644 -,,,,,,,5211,13218 -,,,,,,,5212,13009 -,,,,,,,5213,13173 -,,,,,,,5214,13847 -,,,,,,,5215,15036 -,,,,,,,5216,16684 -,,,,,,,5217,17995 -,,,,,,,5218,18918 -,,,,,,,5219,19452 -,,,,,,,5220,19864 -,,,,,,,5221,20123 -,,,,,,,5222,20371 -,,,,,,,5223,20468 -,,,,,,,5224,20509 -,,,,,,,5225,20420 -,,,,,,,5226,20076 -,,,,,,,5227,19309 -,,,,,,,5228,18496 -,,,,,,,5229,18285 -,,,,,,,5230,17273 -,,,,,,,5231,15484 -,,,,,,,5232,13833 -,,,,,,,5233,12572 -,,,,,,,5234,11788 -,,,,,,,5235,11290 -,,,,,,,5236,11062 -,,,,,,,5237,11151 -,,,,,,,5238,11721 -,,,,,,,5239,12868 -,,,,,,,5240,14390 -,,,,,,,5241,15479 -,,,,,,,5242,16371 -,,,,,,,5243,17180 -,,,,,,,5244,17802 -,,,,,,,5245,18233 -,,,,,,,5246,18696 -,,,,,,,5247,18953 -,,,,,,,5248,19122 -,,,,,,,5249,19205 -,,,,,,,5250,19005 -,,,,,,,5251,18452 -,,,,,,,5252,17890 -,,,,,,,5253,17955 -,,,,,,,5254,17120 -,,,,,,,5255,15524 -,,,,,,,5256,13956 -,,,,,,,5257,12779 -,,,,,,,5258,12000 -,,,,,,,5259,11491 -,,,,,,,5260,11239 -,,,,,,,5261,11360 -,,,,,,,5262,11989 -,,,,,,,5263,13177 -,,,,,,,5264,14765 -,,,,,,,5265,16111 -,,,,,,,5266,17246 -,,,,,,,5267,18338 -,,,,,,,5268,19160 -,,,,,,,5269,19744 -,,,,,,,5270,20284 -,,,,,,,5271,20575 -,,,,,,,5272,20711 -,,,,,,,5273,20657 -,,,,,,,5274,20366 -,,,,,,,5275,19801 -,,,,,,,5276,19323 -,,,,,,,5277,19387 -,,,,,,,5278,18450 -,,,,,,,5279,16773 -,,,,,,,5280,15065 -,,,,,,,5281,13752 -,,,,,,,5282,13007 -,,,,,,,5283,12505 -,,,,,,,5284,12272 -,,,,,,,5285,12390 -,,,,,,,5286,13102 -,,,,,,,5287,14312 -,,,,,,,5288,15892 -,,,,,,,5289,17261 -,,,,,,,5290,18503 -,,,,,,,5291,19700 -,,,,,,,5292,20612 -,,,,,,,5293,21223 -,,,,,,,5294,21728 -,,,,,,,5295,21915 -,,,,,,,5296,21939 -,,,,,,,5297,21806 -,,,,,,,5298,21414 -,,,,,,,5299,20680 -,,,,,,,5300,20173 -,,,,,,,5301,20146 -,,,,,,,5302,19138 -,,,,,,,5303,17458 -,,,,,,,5304,15795 -,,,,,,,5305,14561 -,,,,,,,5306,13801 -,,,,,,,5307,13304 -,,,,,,,5308,13082 -,,,,,,,5309,13199 -,,,,,,,5310,13910 -,,,,,,,5311,15136 -,,,,,,,5312,16707 -,,,,,,,5313,18002 -,,,,,,,5314,19049 -,,,,,,,5315,19878 -,,,,,,,5316,20433 -,,,,,,,5317,20559 -,,,,,,,5318,20446 -,,,,,,,5319,20025 -,,,,,,,5320,19447 -,,,,,,,5321,19099 -,,,,,,,5322,18705 -,,,,,,,5323,18185 -,,,,,,,5324,17806 -,,,,,,,5325,17804 -,,,,,,,5326,17137 -,,,,,,,5327,15940 -,,,,,,,5328,14608 -,,,,,,,5329,13522 -,,,,,,,5330,12799 -,,,,,,,5331,12319 -,,,,,,,5332,12051 -,,,,,,,5333,11968 -,,,,,,,5334,12110 -,,,,,,,5335,12514 -,,,,,,,5336,13552 -,,,,,,,5337,14837 -,,,,,,,5338,16019 -,,,,,,,5339,17011 -,,,,,,,5340,17606 -,,,,,,,5341,17953 -,,,,,,,5342,18163 -,,,,,,,5343,18278 -,,,,,,,5344,18369 -,,,,,,,5345,18442 -,,,,,,,5346,18409 -,,,,,,,5347,18117 -,,,,,,,5348,17817 -,,,,,,,5349,17923 -,,,,,,,5350,17264 -,,,,,,,5351,16127 -,,,,,,,5352,14856 -,,,,,,,5353,13774 -,,,,,,,5354,13038 -,,,,,,,5355,12517 -,,,,,,,5356,12230 -,,,,,,,5357,12125 -,,,,,,,5358,12221 -,,,,,,,5359,12427 -,,,,,,,5360,13062 -,,,,,,,5361,14150 -,,,,,,,5362,15272 -,,,,,,,5363,16246 -,,,,,,,5364,17005 -,,,,,,,5365,17581 -,,,,,,,5366,17943 -,,,,,,,5367,18283 -,,,,,,,5368,18587 -,,,,,,,5369,18809 -,,,,,,,5370,18855 -,,,,,,,5371,18565 -,,,,,,,5372,18153 -,,,,,,,5373,18231 -,,,,,,,5374,17372 -,,,,,,,5375,15896 -,,,,,,,5376,14386 -,,,,,,,5377,13225 -,,,,,,,5378,12461 -,,,,,,,5379,11976 -,,,,,,,5380,11726 -,,,,,,,5381,11825 -,,,,,,,5382,12453 -,,,,,,,5383,13531 -,,,,,,,5384,15071 -,,,,,,,5385,16363 -,,,,,,,5386,17447 -,,,,,,,5387,18389 -,,,,,,,5388,19054 -,,,,,,,5389,19483 -,,,,,,,5390,19875 -,,,,,,,5391,20136 -,,,,,,,5392,20249 -,,,,,,,5393,20347 -,,,,,,,5394,20203 -,,,,,,,5395,19578 -,,,,,,,5396,18981 -,,,,,,,5397,18919 -,,,,,,,5398,17773 -,,,,,,,5399,16030 -,,,,,,,5400,14359 -,,,,,,,5401,13121 -,,,,,,,5402,12304 -,,,,,,,5403,11773 -,,,,,,,5404,11515 -,,,,,,,5405,11598 -,,,,,,,5406,12268 -,,,,,,,5407,13383 -,,,,,,,5408,14923 -,,,,,,,5409,16131 -,,,,,,,5410,17167 -,,,,,,,5411,18030 -,,,,,,,5412,18613 -,,,,,,,5413,18947 -,,,,,,,5414,19183 -,,,,,,,5415,19249 -,,,,,,,5416,19178 -,,,,,,,5417,19139 -,,,,,,,5418,18927 -,,,,,,,5419,18460 -,,,,,,,5420,18164 -,,,,,,,5421,18305 -,,,,,,,5422,17341 -,,,,,,,5423,15777 -,,,,,,,5424,14244 -,,,,,,,5425,13172 -,,,,,,,5426,12469 -,,,,,,,5427,12035 -,,,,,,,5428,11853 -,,,,,,,5429,11993 -,,,,,,,5430,12742 -,,,,,,,5431,14016 -,,,,,,,5432,15280 -,,,,,,,5433,16076 -,,,,,,,5434,16659 -,,,,,,,5435,17417 -,,,,,,,5436,18171 -,,,,,,,5437,18737 -,,,,,,,5438,19260 -,,,,,,,5439,19521 -,,,,,,,5440,19626 -,,,,,,,5441,19538 -,,,,,,,5442,19230 -,,,,,,,5443,18725 -,,,,,,,5444,18517 -,,,,,,,5445,18461 -,,,,,,,5446,17437 -,,,,,,,5447,15838 -,,,,,,,5448,14263 -,,,,,,,5449,13039 -,,,,,,,5450,12260 -,,,,,,,5451,11788 -,,,,,,,5452,11580 -,,,,,,,5453,11677 -,,,,,,,5454,12384 -,,,,,,,5455,13586 -,,,,,,,5456,14898 -,,,,,,,5457,15970 -,,,,,,,5458,16943 -,,,,,,,5459,17834 -,,,,,,,5460,18495 -,,,,,,,5461,18922 -,,,,,,,5462,19296 -,,,,,,,5463,19505 -,,,,,,,5464,19592 -,,,,,,,5465,19626 -,,,,,,,5466,19422 -,,,,,,,5467,18775 -,,,,,,,5468,18192 -,,,,,,,5469,18140 -,,,,,,,5470,17090 -,,,,,,,5471,15479 -,,,,,,,5472,13852 -,,,,,,,5473,12663 -,,,,,,,5474,11869 -,,,,,,,5475,11372 -,,,,,,,5476,11122 -,,,,,,,5477,11201 -,,,,,,,5478,11799 -,,,,,,,5479,12844 -,,,,,,,5480,14253 -,,,,,,,5481,15541 -,,,,,,,5482,16634 -,,,,,,,5483,17653 -,,,,,,,5484,18431 -,,,,,,,5485,19070 -,,,,,,,5486,19668 -,,,,,,,5487,20039 -,,,,,,,5488,20163 -,,,,,,,5489,20149 -,,,,,,,5490,19800 -,,,,,,,5491,19054 -,,,,,,,5492,18618 -,,,,,,,5493,18522 -,,,,,,,5494,17524 -,,,,,,,5495,16018 -,,,,,,,5496,14519 -,,,,,,,5497,13282 -,,,,,,,5498,12447 -,,,,,,,5499,11889 -,,,,,,,5500,11525 -,,,,,,,5501,11391 -,,,,,,,5502,11526 -,,,,,,,5503,11815 -,,,,,,,5504,12526 -,,,,,,,5505,13461 -,,,,,,,5506,14198 -,,,,,,,5507,14670 -,,,,,,,5508,14956 -,,,,,,,5509,15002 -,,,,,,,5510,14959 -,,,,,,,5511,14901 -,,,,,,,5512,14849 -,,,,,,,5513,14893 -,,,,,,,5514,14890 -,,,,,,,5515,14695 -,,,,,,,5516,14498 -,,,,,,,5517,14670 -,,,,,,,5518,13992 -,,,,,,,5519,12948 -,,,,,,,5520,11812 -,,,,,,,5521,10892 -,,,,,,,5522,10246 -,,,,,,,5523,9802 -,,,,,,,5524,9574 -,,,,,,,5525,9475 -,,,,,,,5526,9538 -,,,,,,,5527,9639 -,,,,,,,5528,10345 -,,,,,,,5529,11407 -,,,,,,,5530,12350 -,,,,,,,5531,13000 -,,,,,,,5532,13392 -,,,,,,,5533,13613 -,,,,,,,5534,13633 -,,,,,,,5535,13644 -,,,,,,,5536,13723 -,,,,,,,5537,13951 -,,,,,,,5538,14116 -,,,,,,,5539,14086 -,,,,,,,5540,14153 -,,,,,,,5541,14465 -,,,,,,,5542,13767 -,,,,,,,5543,12641 -,,,,,,,5544,11547 -,,,,,,,5545,10737 -,,,,,,,5546,10232 -,,,,,,,5547,9935 -,,,,,,,5548,9833 -,,,,,,,5549,10032 -,,,,,,,5550,10710 -,,,,,,,5551,11839 -,,,,,,,5552,13136 -,,,,,,,5553,14174 -,,,,,,,5554,15050 -,,,,,,,5555,15785 -,,,,,,,5556,16302 -,,,,,,,5557,16614 -,,,,,,,5558,16843 -,,,,,,,5559,16890 -,,,,,,,5560,16858 -,,,,,,,5561,16884 -,,,,,,,5562,16829 -,,,,,,,5563,16384 -,,,,,,,5564,16155 -,,,,,,,5565,16298 -,,,,,,,5566,15292 -,,,,,,,5567,13831 -,,,,,,,5568,12442 -,,,,,,,5569,11448 -,,,,,,,5570,10891 -,,,,,,,5571,10531 -,,,,,,,5572,10388 -,,,,,,,5573,10585 -,,,,,,,5574,11360 -,,,,,,,5575,12601 -,,,,,,,5576,13899 -,,,,,,,5577,14887 -,,,,,,,5578,15714 -,,,,,,,5579,16447 -,,,,,,,5580,16936 -,,,,,,,5581,17268 -,,,,,,,5582,17602 -,,,,,,,5583,17781 -,,,,,,,5584,17839 -,,,,,,,5585,17841 -,,,,,,,5586,17550 -,,,,,,,5587,16961 -,,,,,,,5588,16630 -,,,,,,,5589,16707 -,,,,,,,5590,15673 -,,,,,,,5591,14130 -,,,,,,,5592,12669 -,,,,,,,5593,11621 -,,,,,,,5594,10976 -,,,,,,,5595,10566 -,,,,,,,5596,10352 -,,,,,,,5597,10472 -,,,,,,,5598,11158 -,,,,,,,5599,12225 -,,,,,,,5600,13639 -,,,,,,,5601,14715 -,,,,,,,5602,15638 -,,,,,,,5603,16446 -,,,,,,,5604,17023 -,,,,,,,5605,17374 -,,,,,,,5606,17749 -,,,,,,,5607,17980 -,,,,,,,5608,18042 -,,,,,,,5609,18081 -,,,,,,,5610,17860 -,,,,,,,5611,17309 -,,,,,,,5612,16921 -,,,,,,,5613,17010 -,,,,,,,5614,15996 -,,,,,,,5615,14438 -,,,,,,,5616,12974 -,,,,,,,5617,11904 -,,,,,,,5618,11237 -,,,,,,,5619,10791 -,,,,,,,5620,10618 -,,,,,,,5621,10732 -,,,,,,,5622,11470 -,,,,,,,5623,12588 -,,,,,,,5624,14058 -,,,,,,,5625,15269 -,,,,,,,5626,16246 -,,,,,,,5627,17082 -,,,,,,,5628,17753 -,,,,,,,5629,18275 -,,,,,,,5630,18798 -,,,,,,,5631,19044 -,,,,,,,5632,19162 -,,,,,,,5633,19196 -,,,,,,,5634,18974 -,,,,,,,5635,18397 -,,,,,,,5636,17981 -,,,,,,,5637,18011 -,,,,,,,5638,16953 -,,,,,,,5639,15350 -,,,,,,,5640,13802 -,,,,,,,5641,12689 -,,,,,,,5642,11931 -,,,,,,,5643,11442 -,,,,,,,5644,11181 -,,,,,,,5645,11270 -,,,,,,,5646,11929 -,,,,,,,5647,12984 -,,,,,,,5648,14369 -,,,,,,,5649,15562 -,,,,,,,5650,16576 -,,,,,,,5651,17490 -,,,,,,,5652,18164 -,,,,,,,5653,18606 -,,,,,,,5654,19035 -,,,,,,,5655,19217 -,,,,,,,5656,19170 -,,,,,,,5657,19084 -,,,,,,,5658,18703 -,,,,,,,5659,17998 -,,,,,,,5660,17623 -,,,,,,,5661,17528 -,,,,,,,5662,16546 -,,,,,,,5663,15160 -,,,,,,,5664,13719 -,,,,,,,5665,12557 -,,,,,,,5666,11829 -,,,,,,,5667,11334 -,,,,,,,5668,11050 -,,,,,,,5669,11005 -,,,,,,,5670,11237 -,,,,,,,5671,11652 -,,,,,,,5672,12585 -,,,,,,,5673,13808 -,,,,,,,5674,14896 -,,,,,,,5675,15698 -,,,,,,,5676,16213 -,,,,,,,5677,16534 -,,,,,,,5678,16732 -,,,,,,,5679,16831 -,,,,,,,5680,16796 -,,,,,,,5681,16703 -,,,,,,,5682,16463 -,,,,,,,5683,15977 -,,,,,,,5684,15759 -,,,,,,,5685,15717 -,,,,,,,5686,14927 -,,,,,,,5687,13796 -,,,,,,,5688,12588 -,,,,,,,5689,11630 -,,,,,,,5690,10949 -,,,,,,,5691,10520 -,,,,,,,5692,10242 -,,,,,,,5693,10155 -,,,,,,,5694,10258 -,,,,,,,5695,10381 -,,,,,,,5696,11153 -,,,,,,,5697,12332 -,,,,,,,5698,13433 -,,,,,,,5699,14278 -,,,,,,,5700,14934 -,,,,,,,5701,15449 -,,,,,,,5702,15733 -,,,,,,,5703,15990 -,,,,,,,5704,16250 -,,,,,,,5705,16510 -,,,,,,,5706,16641 -,,,,,,,5707,16338 -,,,,,,,5708,16150 -,,,,,,,5709,16195 -,,,,,,,5710,15193 -,,,,,,,5711,13796 -,,,,,,,5712,12541 -,,,,,,,5713,11546 -,,,,,,,5714,10946 -,,,,,,,5715,10588 -,,,,,,,5716,10427 -,,,,,,,5717,10609 -,,,,,,,5718,11385 -,,,,,,,5719,12579 -,,,,,,,5720,13997 -,,,,,,,5721,15184 -,,,,,,,5722,16163 -,,,,,,,5723,17014 -,,,,,,,5724,17725 -,,,,,,,5725,18258 -,,,,,,,5726,18815 -,,,,,,,5727,19088 -,,,,,,,5728,19126 -,,,,,,,5729,19077 -,,,,,,,5730,18830 -,,,,,,,5731,18358 -,,,,,,,5732,18375 -,,,,,,,5733,18352 -,,,,,,,5734,17309 -,,,,,,,5735,15789 -,,,,,,,5736,14373 -,,,,,,,5737,13377 -,,,,,,,5738,12744 -,,,,,,,5739,12367 -,,,,,,,5740,12220 -,,,,,,,5741,12439 -,,,,,,,5742,13365 -,,,,,,,5743,14952 -,,,,,,,5744,16291 -,,,,,,,5745,17062 -,,,,,,,5746,17549 -,,,,,,,5747,18030 -,,,,,,,5748,18585 -,,,,,,,5749,19059 -,,,,,,,5750,19599 -,,,,,,,5751,19941 -,,,,,,,5752,20057 -,,,,,,,5753,20095 -,,,,,,,5754,19813 -,,,,,,,5755,19039 -,,,,,,,5756,18705 -,,,,,,,5757,18464 -,,,,,,,5758,17107 -,,,,,,,5759,15297 -,,,,,,,5760,13642 -,,,,,,,5761,12355 -,,,,,,,5762,11568 -,,,,,,,5763,11021 -,,,,,,,5764,10732 -,,,,,,,5765,10763 -,,,,,,,5766,11485 -,,,,,,,5767,12695 -,,,,,,,5768,13884 -,,,,,,,5769,14623 -,,,,,,,5770,15156 -,,,,,,,5771,15600 -,,,,,,,5772,15873 -,,,,,,,5773,16059 -,,,,,,,5774,16297 -,,,,,,,5775,16441 -,,,,,,,5776,16534 -,,,,,,,5777,16641 -,,,,,,,5778,16560 -,,,,,,,5779,16095 -,,,,,,,5780,15938 -,,,,,,,5781,15843 -,,,,,,,5782,14707 -,,,,,,,5783,13169 -,,,,,,,5784,11746 -,,,,,,,5785,10792 -,,,,,,,5786,10205 -,,,,,,,5787,9854 -,,,,,,,5788,9718 -,,,,,,,5789,9880 -,,,,,,,5790,10674 -,,,,,,,5791,11997 -,,,,,,,5792,13236 -,,,,,,,5793,14124 -,,,,,,,5794,14850 -,,,,,,,5795,15490 -,,,,,,,5796,15900 -,,,,,,,5797,16168 -,,,,,,,5798,16521 -,,,,,,,5799,16719 -,,,,,,,5800,16851 -,,,,,,,5801,16950 -,,,,,,,5802,16770 -,,,,,,,5803,16276 -,,,,,,,5804,16300 -,,,,,,,5805,16274 -,,,,,,,5806,15211 -,,,,,,,5807,13731 -,,,,,,,5808,12397 -,,,,,,,5809,11403 -,,,,,,,5810,10746 -,,,,,,,5811,10373 -,,,,,,,5812,10211 -,,,,,,,5813,10359 -,,,,,,,5814,11133 -,,,,,,,5815,12353 -,,,,,,,5816,13636 -,,,,,,,5817,14714 -,,,,,,,5818,15622 -,,,,,,,5819,16431 -,,,,,,,5820,17105 -,,,,,,,5821,17582 -,,,,,,,5822,18149 -,,,,,,,5823,18469 -,,,,,,,5824,18640 -,,,,,,,5825,18676 -,,,,,,,5826,18509 -,,,,,,,5827,17930 -,,,,,,,5828,17707 -,,,,,,,5829,17565 -,,,,,,,5830,16620 -,,,,,,,5831,15338 -,,,,,,,5832,13935 -,,,,,,,5833,12655 -,,,,,,,5834,12044 -,,,,,,,5835,11621 -,,,,,,,5836,11328 -,,,,,,,5837,11191 -,,,,,,,5838,11361 -,,,,,,,5839,11656 -,,,,,,,5840,12551 -,,,,,,,5841,13879 -,,,,,,,5842,15015 -,,,,,,,5843,15790 -,,,,,,,5844,16316 -,,,,,,,5845,16582 -,,,,,,,5846,16614 -,,,,,,,5847,16560 -,,,,,,,5848,16421 -,,,,,,,5849,16319 -,,,,,,,5850,16046 -,,,,,,,5851,15513 -,,,,,,,5852,15399 -,,,,,,,5853,15251 -,,,,,,,5854,14461 -,,,,,,,5855,13374 -,,,,,,,5856,12219 -,,,,,,,5857,11281 -,,,,,,,5858,10668 -,,,,,,,5859,10261 -,,,,,,,5860,10044 -,,,,,,,5861,9953 -,,,,,,,5862,10054 -,,,,,,,5863,10193 -,,,,,,,5864,10854 -,,,,,,,5865,11922 -,,,,,,,5866,12836 -,,,,,,,5867,13461 -,,,,,,,5868,13891 -,,,,,,,5869,14240 -,,,,,,,5870,14385 -,,,,,,,5871,14464 -,,,,,,,5872,14490 -,,,,,,,5873,14518 -,,,,,,,5874,14539 -,,,,,,,5875,14331 -,,,,,,,5876,14401 -,,,,,,,5877,14322 -,,,,,,,5878,13625 -,,,,,,,5879,12639 -,,,,,,,5880,11577 -,,,,,,,5881,10731 -,,,,,,,5882,10166 -,,,,,,,5883,9819 -,,,,,,,5884,9646 -,,,,,,,5885,9661 -,,,,,,,5886,9937 -,,,,,,,5887,10250 -,,,,,,,5888,10889 -,,,,,,,5889,11920 -,,,,,,,5890,12926 -,,,,,,,5891,13640 -,,,,,,,5892,14101 -,,,,,,,5893,14353 -,,,,,,,5894,14510 -,,,,,,,5895,14613 -,,,,,,,5896,14711 -,,,,,,,5897,14894 -,,,,,,,5898,15024 -,,,,,,,5899,14896 -,,,,,,,5900,15208 -,,,,,,,5901,15143 -,,,,,,,5902,14069 -,,,,,,,5903,12683 -,,,,,,,5904,11471 -,,,,,,,5905,10681 -,,,,,,,5906,10219 -,,,,,,,5907,10004 -,,,,,,,5908,9966 -,,,,,,,5909,10219 -,,,,,,,5910,11210 -,,,,,,,5911,13004 -,,,,,,,5912,14307 -,,,,,,,5913,15018 -,,,,,,,5914,15593 -,,,,,,,5915,16061 -,,,,,,,5916,16299 -,,,,,,,5917,16397 -,,,,,,,5918,16509 -,,,,,,,5919,16482 -,,,,,,,5920,16547 -,,,,,,,5921,16694 -,,,,,,,5922,16882 -,,,,,,,5923,16935 -,,,,,,,5924,17238 -,,,,,,,5925,16992 -,,,,,,,5926,15974 -,,,,,,,5927,14540 -,,,,,,,5928,13246 -,,,,,,,5929,12368 -,,,,,,,5930,11870 -,,,,,,,5931,11630 -,,,,,,,5932,11577 -,,,,,,,5933,11871 -,,,,,,,5934,12917 -,,,,,,,5935,14850 -,,,,,,,5936,16240 -,,,,,,,5937,17004 -,,,,,,,5938,17605 -,,,,,,,5939,17908 -,,,,,,,5940,17992 -,,,,,,,5941,17973 -,,,,,,,5942,18106 -,,,,,,,5943,18242 -,,,,,,,5944,18306 -,,,,,,,5945,18467 -,,,,,,,5946,18443 -,,,,,,,5947,18113 -,,,,,,,5948,18189 -,,,,,,,5949,17832 -,,,,,,,5950,16550 -,,,,,,,5951,14838 -,,,,,,,5952,13299 -,,,,,,,5953,12160 -,,,,,,,5954,11456 -,,,,,,,5955,11053 -,,,,,,,5956,10880 -,,,,,,,5957,11046 -,,,,,,,5958,11929 -,,,,,,,5959,13533 -,,,,,,,5960,14730 -,,,,,,,5961,15429 -,,,,,,,5962,16013 -,,,,,,,5963,16560 -,,,,,,,5964,16885 -,,,,,,,5965,17039 -,,,,,,,5966,17406 -,,,,,,,5967,17690 -,,,,,,,5968,17830 -,,,,,,,5969,17842 -,,,,,,,5970,17612 -,,,,,,,5971,17275 -,,,,,,,5972,17603 -,,,,,,,5973,17362 -,,,,,,,5974,16195 -,,,,,,,5975,14599 -,,,,,,,5976,13140 -,,,,,,,5977,12129 -,,,,,,,5978,11505 -,,,,,,,5979,11128 -,,,,,,,5980,10945 -,,,,,,,5981,11137 -,,,,,,,5982,12046 -,,,,,,,5983,13676 -,,,,,,,5984,14929 -,,,,,,,5985,15803 -,,,,,,,5986,16631 -,,,,,,,5987,17439 -,,,,,,,5988,18197 -,,,,,,,5989,18727 -,,,,,,,5990,19201 -,,,,,,,5991,19540 -,,,,,,,5992,19691 -,,,,,,,5993,19686 -,,,,,,,5994,19260 -,,,,,,,5995,18613 -,,,,,,,5996,18621 -,,,,,,,5997,18226 -,,,,,,,5998,17126 -,,,,,,,5999,15670 -,,,,,,,6000,14192 -,,,,,,,6001,13074 -,,,,,,,6002,12328 -,,,,,,,6003,11880 -,,,,,,,6004,11632 -,,,,,,,6005,11590 -,,,,,,,6006,11929 -,,,,,,,6007,12447 -,,,,,,,6008,13324 -,,,,,,,6009,14614 -,,,,,,,6010,15692 -,,,,,,,6011,16483 -,,,,,,,6012,16916 -,,,,,,,6013,17137 -,,,,,,,6014,17179 -,,,,,,,6015,17144 -,,,,,,,6016,17095 -,,,,,,,6017,17084 -,,,,,,,6018,17073 -,,,,,,,6019,17098 -,,,,,,,6020,17195 -,,,,,,,6021,16680 -,,,,,,,6022,15684 -,,,,,,,6023,14271 -,,,,,,,6024,12813 -,,,,,,,6025,11737 -,,,,,,,6026,11014 -,,,,,,,6027,10498 -,,,,,,,6028,10197 -,,,,,,,6029,10063 -,,,,,,,6030,10161 -,,,,,,,6031,10406 -,,,,,,,6032,10910 -,,,,,,,6033,11797 -,,,,,,,6034,12574 -,,,,,,,6035,13054 -,,,,,,,6036,13369 -,,,,,,,6037,13611 -,,,,,,,6038,13627 -,,,,,,,6039,13704 -,,,,,,,6040,13835 -,,,,,,,6041,14089 -,,,,,,,6042,14296 -,,,,,,,6043,14244 -,,,,,,,6044,14611 -,,,,,,,6045,14347 -,,,,,,,6046,13316 -,,,,,,,6047,12047 -,,,,,,,6048,10896 -,,,,,,,6049,10103 -,,,,,,,6050,9630 -,,,,,,,6051,9373 -,,,,,,,6052,9305 -,,,,,,,6053,9544 -,,,,,,,6054,10452 -,,,,,,,6055,11984 -,,,,,,,6056,13049 -,,,,,,,6057,13666 -,,,,,,,6058,14148 -,,,,,,,6059,14548 -,,,,,,,6060,14736 -,,,,,,,6061,14723 -,,,,,,,6062,14719 -,,,,,,,6063,14583 -,,,,,,,6064,14437 -,,,,,,,6065,14414 -,,,,,,,6066,14391 -,,,,,,,6067,14266 -,,,,,,,6068,14636 -,,,,,,,6069,14258 -,,,,,,,6070,13146 -,,,,,,,6071,11744 -,,,,,,,6072,10501 -,,,,,,,6073,9716 -,,,,,,,6074,9250 -,,,,,,,6075,8996 -,,,,,,,6076,8937 -,,,,,,,6077,9166 -,,,,,,,6078,10077 -,,,,,,,6079,11601 -,,,,,,,6080,12636 -,,,,,,,6081,13142 -,,,,,,,6082,13561 -,,,,,,,6083,13917 -,,,,,,,6084,14150 -,,,,,,,6085,14259 -,,,,,,,6086,14436 -,,,,,,,6087,14458 -,,,,,,,6088,14467 -,,,,,,,6089,14527 -,,,,,,,6090,14527 -,,,,,,,6091,14378 -,,,,,,,6092,14797 -,,,,,,,6093,14440 -,,,,,,,6094,13307 -,,,,,,,6095,11877 -,,,,,,,6096,10627 -,,,,,,,6097,9789 -,,,,,,,6098,9319 -,,,,,,,6099,9079 -,,,,,,,6100,9012 -,,,,,,,6101,9225 -,,,,,,,6102,10119 -,,,,,,,6103,11711 -,,,,,,,6104,12767 -,,,,,,,6105,13274 -,,,,,,,6106,13759 -,,,,,,,6107,14270 -,,,,,,,6108,14632 -,,,,,,,6109,14823 -,,,,,,,6110,15080 -,,,,,,,6111,15152 -,,,,,,,6112,15204 -,,,,,,,6113,15264 -,,,,,,,6114,15206 -,,,,,,,6115,14979 -,,,,,,,6116,15411 -,,,,,,,6117,15018 -,,,,,,,6118,13882 -,,,,,,,6119,12447 -,,,,,,,6120,11128 -,,,,,,,6121,10259 -,,,,,,,6122,9755 -,,,,,,,6123,9494 -,,,,,,,6124,9395 -,,,,,,,6125,9599 -,,,,,,,6126,10477 -,,,,,,,6127,12074 -,,,,,,,6128,13163 -,,,,,,,6129,13873 -,,,,,,,6130,14481 -,,,,,,,6131,15072 -,,,,,,,6132,15524 -,,,,,,,6133,15806 -,,,,,,,6134,16146 -,,,,,,,6135,16295 -,,,,,,,6136,16404 -,,,,,,,6137,16469 -,,,,,,,6138,16292 -,,,,,,,6139,15949 -,,,,,,,6140,16304 -,,,,,,,6141,15880 -,,,,,,,6142,14687 -,,,,,,,6143,13166 -,,,,,,,6144,11782 -,,,,,,,6145,10815 -,,,,,,,6146,10245 -,,,,,,,6147,9909 -,,,,,,,6148,9785 -,,,,,,,6149,9956 -,,,,,,,6150,10813 -,,,,,,,6151,12376 -,,,,,,,6152,13476 -,,,,,,,6153,14231 -,,,,,,,6154,14909 -,,,,,,,6155,15536 -,,,,,,,6156,16011 -,,,,,,,6157,16318 -,,,,,,,6158,16658 -,,,,,,,6159,16783 -,,,,,,,6160,16762 -,,,,,,,6161,16633 -,,,,,,,6162,16172 -,,,,,,,6163,15677 -,,,,,,,6164,15880 -,,,,,,,6165,15412 -,,,,,,,6166,14479 -,,,,,,,6167,13229 -,,,,,,,6168,11969 -,,,,,,,6169,11008 -,,,,,,,6170,10419 -,,,,,,,6171,10075 -,,,,,,,6172,9888 -,,,,,,,6173,9892 -,,,,,,,6174,10200 -,,,,,,,6175,10690 -,,,,,,,6176,11436 -,,,,,,,6177,12400 -,,,,,,,6178,13052 -,,,,,,,6179,13361 -,,,,,,,6180,13454 -,,,,,,,6181,13445 -,,,,,,,6182,13350 -,,,,,,,6183,13238 -,,,,,,,6184,13183 -,,,,,,,6185,13213 -,,,,,,,6186,13216 -,,,,,,,6187,13144 -,,,,,,,6188,13511 -,,,,,,,6189,13182 -,,,,,,,6190,12421 -,,,,,,,6191,11458 -,,,,,,,6192,10445 -,,,,,,,6193,9674 -,,,,,,,6194,9179 -,,,,,,,6195,8870 -,,,,,,,6196,8696 -,,,,,,,6197,8684 -,,,,,,,6198,8867 -,,,,,,,6199,9149 -,,,,,,,6200,9788 -,,,,,,,6201,10780 -,,,,,,,6202,11534 -,,,,,,,6203,11983 -,,,,,,,6204,12235 -,,,,,,,6205,12410 -,,,,,,,6206,12403 -,,,,,,,6207,12401 -,,,,,,,6208,12471 -,,,,,,,6209,12681 -,,,,,,,6210,13000 -,,,,,,,6211,13131 -,,,,,,,6212,13679 -,,,,,,,6213,13255 -,,,,,,,6214,12253 -,,,,,,,6215,11080 -,,,,,,,6216,10039 -,,,,,,,6217,9357 -,,,,,,,6218,8974 -,,,,,,,6219,8769 -,,,,,,,6220,8753 -,,,,,,,6221,9010 -,,,,,,,6222,9940 -,,,,,,,6223,11495 -,,,,,,,6224,12546 -,,,,,,,6225,13142 -,,,,,,,6226,13619 -,,,,,,,6227,14071 -,,,,,,,6228,14344 -,,,,,,,6229,14484 -,,,,,,,6230,14681 -,,,,,,,6231,14736 -,,,,,,,6232,14751 -,,,,,,,6233,14789 -,,,,,,,6234,14814 -,,,,,,,6235,14785 -,,,,,,,6236,15268 -,,,,,,,6237,14695 -,,,,,,,6238,13533 -,,,,,,,6239,12100 -,,,,,,,6240,10847 -,,,,,,,6241,10040 -,,,,,,,6242,9548 -,,,,,,,6243,9286 -,,,,,,,6244,9236 -,,,,,,,6245,9492 -,,,,,,,6246,10455 -,,,,,,,6247,12169 -,,,,,,,6248,13333 -,,,,,,,6249,13984 -,,,,,,,6250,14473 -,,,,,,,6251,14918 -,,,,,,,6252,15159 -,,,,,,,6253,15245 -,,,,,,,6254,15388 -,,,,,,,6255,15341 -,,,,,,,6256,15316 -,,,,,,,6257,15494 -,,,,,,,6258,15751 -,,,,,,,6259,15942 -,,,,,,,6260,16100 -,,,,,,,6261,15509 -,,,,,,,6262,14391 -,,,,,,,6263,12991 -,,,,,,,6264,11788 -,,,,,,,6265,10950 -,,,,,,,6266,10450 -,,,,,,,6267,10147 -,,,,,,,6268,10022 -,,,,,,,6269,10161 -,,,,,,,6270,10985 -,,,,,,,6271,12595 -,,,,,,,6272,13599 -,,,,,,,6273,13959 -,,,,,,,6274,14208 -,,,,,,,6275,14464 -,,,,,,,6276,14632 -,,,,,,,6277,14673 -,,,,,,,6278,14774 -,,,,,,,6279,14710 -,,,,,,,6280,14629 -,,,,,,,6281,14608 -,,,,,,,6282,14489 -,,,,,,,6283,14382 -,,,,,,,6284,14873 -,,,,,,,6285,14359 -,,,,,,,6286,13258 -,,,,,,,6287,11818 -,,,,,,,6288,10588 -,,,,,,,6289,9743 -,,,,,,,6290,9282 -,,,,,,,6291,9031 -,,,,,,,6292,8957 -,,,,,,,6293,9191 -,,,,,,,6294,10100 -,,,,,,,6295,11763 -,,,,,,,6296,12742 -,,,,,,,6297,13181 -,,,,,,,6298,13504 -,,,,,,,6299,13828 -,,,,,,,6300,13975 -,,,,,,,6301,13975 -,,,,,,,6302,14073 -,,,,,,,6303,14006 -,,,,,,,6304,13898 -,,,,,,,6305,13876 -,,,,,,,6306,13870 -,,,,,,,6307,13964 -,,,,,,,6308,14527 -,,,,,,,6309,14075 -,,,,,,,6310,13047 -,,,,,,,6311,11686 -,,,,,,,6312,10455 -,,,,,,,6313,9646 -,,,,,,,6314,9202 -,,,,,,,6315,8966 -,,,,,,,6316,8904 -,,,,,,,6317,9129 -,,,,,,,6318,10015 -,,,,,,,6319,11717 -,,,,,,,6320,12743 -,,,,,,,6321,13212 -,,,,,,,6322,13536 -,,,,,,,6323,13800 -,,,,,,,6324,13884 -,,,,,,,6325,13906 -,,,,,,,6326,13931 -,,,,,,,6327,13867 -,,,,,,,6328,13783 -,,,,,,,6329,13742 -,,,,,,,6330,13642 -,,,,,,,6331,13670 -,,,,,,,6332,14078 -,,,,,,,6333,13628 -,,,,,,,6334,12761 -,,,,,,,6335,11649 -,,,,,,,6336,10515 -,,,,,,,6337,9693 -,,,,,,,6338,9202 -,,,,,,,6339,8922 -,,,,,,,6340,8823 -,,,,,,,6341,8850 -,,,,,,,6342,9165 -,,,,,,,6343,9767 -,,,,,,,6344,10549 -,,,,,,,6345,11545 -,,,,,,,6346,12236 -,,,,,,,6347,12592 -,,,,,,,6348,12695 -,,,,,,,6349,12692 -,,,,,,,6350,12600 -,,,,,,,6351,12560 -,,,,,,,6352,12557 -,,,,,,,6353,12680 -,,,,,,,6354,12863 -,,,,,,,6355,13168 -,,,,,,,6356,13586 -,,,,,,,6357,13195 -,,,,,,,6358,12536 -,,,,,,,6359,11617 -,,,,,,,6360,10626 -,,,,,,,6361,9932 -,,,,,,,6362,9407 -,,,,,,,6363,9104 -,,,,,,,6364,8951 -,,,,,,,6365,8908 -,,,,,,,6366,9086 -,,,,,,,6367,9405 -,,,,,,,6368,9954 -,,,,,,,6369,10887 -,,,,,,,6370,11615 -,,,,,,,6371,12038 -,,,,,,,6372,12258 -,,,,,,,6373,12342 -,,,,,,,6374,12293 -,,,,,,,6375,12262 -,,,,,,,6376,12305 -,,,,,,,6377,12487 -,,,,,,,6378,12805 -,,,,,,,6379,13104 -,,,,,,,6380,13648 -,,,,,,,6381,13129 -,,,,,,,6382,12123 -,,,,,,,6383,11027 -,,,,,,,6384,9979 -,,,,,,,6385,9216 -,,,,,,,6386,8778 -,,,,,,,6387,8570 -,,,,,,,6388,8545 -,,,,,,,6389,8807 -,,,,,,,6390,9768 -,,,,,,,6391,11511 -,,,,,,,6392,12580 -,,,,,,,6393,13062 -,,,,,,,6394,13411 -,,,,,,,6395,13705 -,,,,,,,6396,13871 -,,,,,,,6397,13896 -,,,,,,,6398,13948 -,,,,,,,6399,13840 -,,,,,,,6400,13733 -,,,,,,,6401,13743 -,,,,,,,6402,13881 -,,,,,,,6403,14145 -,,,,,,,6404,14632 -,,,,,,,6405,13992 -,,,,,,,6406,12868 -,,,,,,,6407,11487 -,,,,,,,6408,10287 -,,,,,,,6409,9509 -,,,,,,,6410,9096 -,,,,,,,6411,8870 -,,,,,,,6412,8834 -,,,,,,,6413,9077 -,,,,,,,6414,10030 -,,,,,,,6415,11810 -,,,,,,,6416,12830 -,,,,,,,6417,13201 -,,,,,,,6418,13470 -,,,,,,,6419,13771 -,,,,,,,6420,13896 -,,,,,,,6421,13922 -,,,,,,,6422,14006 -,,,,,,,6423,13967 -,,,,,,,6424,13915 -,,,,,,,6425,13984 -,,,,,,,6426,14045 -,,,,,,,6427,14307 -,,,,,,,6428,14764 -,,,,,,,6429,14133 -,,,,,,,6430,13077 -,,,,,,,6431,11697 -,,,,,,,6432,10521 -,,,,,,,6433,9727 -,,,,,,,6434,9300 -,,,,,,,6435,9086 -,,,,,,,6436,9036 -,,,,,,,6437,9314 -,,,,,,,6438,10249 -,,,,,,,6439,11985 -,,,,,,,6440,13083 -,,,,,,,6441,13667 -,,,,,,,6442,14115 -,,,,,,,6443,14512 -,,,,,,,6444,14682 -,,,,,,,6445,14713 -,,,,,,,6446,14760 -,,,,,,,6447,14669 -,,,,,,,6448,14530 -,,,,,,,6449,14618 -,,,,,,,6450,14853 -,,,,,,,6451,15171 -,,,,,,,6452,15320 -,,,,,,,6453,14686 -,,,,,,,6454,13622 -,,,,,,,6455,12244 -,,,,,,,6456,11012 -,,,,,,,6457,10176 -,,,,,,,6458,9709 -,,,,,,,6459,9418 -,,,,,,,6460,9335 -,,,,,,,6461,9549 -,,,,,,,6462,10528 -,,,,,,,6463,12307 -,,,,,,,6464,13315 -,,,,,,,6465,13758 -,,,,,,,6466,14057 -,,,,,,,6467,14315 -,,,,,,,6468,14449 -,,,,,,,6469,14461 -,,,,,,,6470,14493 -,,,,,,,6471,14404 -,,,,,,,6472,14299 -,,,,,,,6473,14258 -,,,,,,,6474,14190 -,,,,,,,6475,14423 -,,,,,,,6476,14823 -,,,,,,,6477,14230 -,,,,,,,6478,13179 -,,,,,,,6479,11835 -,,,,,,,6480,10602 -,,,,,,,6481,9769 -,,,,,,,6482,9286 -,,,,,,,6483,9026 -,,,,,,,6484,8963 -,,,,,,,6485,9185 -,,,,,,,6486,10056 -,,,,,,,6487,11826 -,,,,,,,6488,12955 -,,,,,,,6489,13484 -,,,,,,,6490,13794 -,,,,,,,6491,14032 -,,,,,,,6492,14139 -,,,,,,,6493,14112 -,,,,,,,6494,14113 -,,,,,,,6495,13970 -,,,,,,,6496,13894 -,,,,,,,6497,13951 -,,,,,,,6498,14087 -,,,,,,,6499,14304 -,,,,,,,6500,14239 -,,,,,,,6501,13622 -,,,,,,,6502,12795 -,,,,,,,6503,11730 -,,,,,,,6504,10625 -,,,,,,,6505,9774 -,,,,,,,6506,9274 -,,,,,,,6507,8984 -,,,,,,,6508,8846 -,,,,,,,6509,8873 -,,,,,,,6510,9220 -,,,,,,,6511,9875 -,,,,,,,6512,10704 -,,,,,,,6513,11689 -,,,,,,,6514,12383 -,,,,,,,6515,12735 -,,,,,,,6516,12801 -,,,,,,,6517,12718 -,,,,,,,6518,12514 -,,,,,,,6519,12350 -,,,,,,,6520,12255 -,,,,,,,6521,12370 -,,,,,,,6522,12651 -,,,,,,,6523,13069 -,,,,,,,6524,13182 -,,,,,,,6525,12741 -,,,,,,,6526,12076 -,,,,,,,6527,11189 -,,,,,,,6528,10215 -,,,,,,,6529,9456 -,,,,,,,6530,8972 -,,,,,,,6531,8696 -,,,,,,,6532,8553 -,,,,,,,6533,8555 -,,,,,,,6534,8764 -,,,,,,,6535,9219 -,,,,,,,6536,9839 -,,,,,,,6537,10823 -,,,,,,,6538,11684 -,,,,,,,6539,12225 -,,,,,,,6540,12523 -,,,,,,,6541,12656 -,,,,,,,6542,12528 -,,,,,,,6543,12438 -,,,,,,,6544,12361 -,,,,,,,6545,12536 -,,,,,,,6546,12804 -,,,,,,,6547,13323 -,,,,,,,6548,13634 -,,,,,,,6549,13090 -,,,,,,,6550,12106 -,,,,,,,6551,10995 -,,,,,,,6552,9958 -,,,,,,,6553,9218 -,,,,,,,6554,8816 -,,,,,,,6555,8647 -,,,,,,,6556,8615 -,,,,,,,6557,8903 -,,,,,,,6558,9903 -,,,,,,,6559,11715 -,,,,,,,6560,12750 -,,,,,,,6561,13170 -,,,,,,,6562,13483 -,,,,,,,6563,13767 -,,,,,,,6564,13893 -,,,,,,,6565,13905 -,,,,,,,6566,13913 -,,,,,,,6567,13823 -,,,,,,,6568,13737 -,,,,,,,6569,13779 -,,,,,,,6570,14009 -,,,,,,,6571,14533 -,,,,,,,6572,14814 -,,,,,,,6573,14172 -,,,,,,,6574,13059 -,,,,,,,6575,11677 -,,,,,,,6576,10434 -,,,,,,,6577,9607 -,,,,,,,6578,9166 -,,,,,,,6579,8947 -,,,,,,,6580,8903 -,,,,,,,6581,9160 -,,,,,,,6582,10075 -,,,,,,,6583,11905 -,,,,,,,6584,12921 -,,,,,,,6585,13353 -,,,,,,,6586,13673 -,,,,,,,6587,13997 -,,,,,,,6588,14192 -,,,,,,,6589,14216 -,,,,,,,6590,14262 -,,,,,,,6591,14156 -,,,,,,,6592,14080 -,,,,,,,6593,14169 -,,,,,,,6594,14475 -,,,,,,,6595,14949 -,,,,,,,6596,14964 -,,,,,,,6597,14297 -,,,,,,,6598,13244 -,,,,,,,6599,11874 -,,,,,,,6600,10660 -,,,,,,,6601,9831 -,,,,,,,6602,9392 -,,,,,,,6603,9190 -,,,,,,,6604,9153 -,,,,,,,6605,9399 -,,,,,,,6606,10340 -,,,,,,,6607,12200 -,,,,,,,6608,13384 -,,,,,,,6609,13805 -,,,,,,,6610,14140 -,,,,,,,6611,14436 -,,,,,,,6612,14572 -,,,,,,,6613,14540 -,,,,,,,6614,14566 -,,,,,,,6615,14473 -,,,,,,,6616,14413 -,,,,,,,6617,14507 -,,,,,,,6618,14801 -,,,,,,,6619,15270 -,,,,,,,6620,15249 -,,,,,,,6621,14676 -,,,,,,,6622,13565 -,,,,,,,6623,12274 -,,,,,,,6624,11037 -,,,,,,,6625,10122 -,,,,,,,6626,9626 -,,,,,,,6627,9379 -,,,,,,,6628,9314 -,,,,,,,6629,9537 -,,,,,,,6630,10472 -,,,,,,,6631,12357 -,,,,,,,6632,13557 -,,,,,,,6633,14017 -,,,,,,,6634,14348 -,,,,,,,6635,14623 -,,,,,,,6636,14748 -,,,,,,,6637,14711 -,,,,,,,6638,14685 -,,,,,,,6639,14532 -,,,,,,,6640,14423 -,,,,,,,6641,14506 -,,,,,,,6642,14783 -,,,,,,,6643,15227 -,,,,,,,6644,15171 -,,,,,,,6645,14568 -,,,,,,,6646,13562 -,,,,,,,6647,12247 -,,,,,,,6648,10974 -,,,,,,,6649,10112 -,,,,,,,6650,9617 -,,,,,,,6651,9335 -,,,,,,,6652,9261 -,,,,,,,6653,9477 -,,,,,,,6654,10320 -,,,,,,,6655,12051 -,,,,,,,6656,13116 -,,,,,,,6657,13617 -,,,,,,,6658,14065 -,,,,,,,6659,14476 -,,,,,,,6660,14693 -,,,,,,,6661,14733 -,,,,,,,6662,14794 -,,,,,,,6663,14733 -,,,,,,,6664,14637 -,,,,,,,6665,14524 -,,,,,,,6666,14340 -,,,,,,,6667,14648 -,,,,,,,6668,14769 -,,,,,,,6669,14176 -,,,,,,,6670,13332 -,,,,,,,6671,12229 -,,,,,,,6672,11080 -,,,,,,,6673,10188 -,,,,,,,6674,9613 -,,,,,,,6675,9285 -,,,,,,,6676,9138 -,,,,,,,6677,9144 -,,,,,,,6678,9431 -,,,,,,,6679,10066 -,,,,,,,6680,10794 -,,,,,,,6681,11815 -,,,,,,,6682,12561 -,,,,,,,6683,12975 -,,,,,,,6684,13182 -,,,,,,,6685,13199 -,,,,,,,6686,13099 -,,,,,,,6687,13009 -,,,,,,,6688,12959 -,,,,,,,6689,13071 -,,,,,,,6690,13321 -,,,,,,,6691,13585 -,,,,,,,6692,13446 -,,,,,,,6693,12887 -,,,,,,,6694,12192 -,,,,,,,6695,11233 -,,,,,,,6696,10250 -,,,,,,,6697,9465 -,,,,,,,6698,8974 -,,,,,,,6699,8694 -,,,,,,,6700,8570 -,,,,,,,6701,8572 -,,,,,,,6702,8755 -,,,,,,,6703,9171 -,,,,,,,6704,9748 -,,,,,,,6705,10681 -,,,,,,,6706,11347 -,,,,,,,6707,11709 -,,,,,,,6708,11892 -,,,,,,,6709,12019 -,,,,,,,6710,12012 -,,,,,,,6711,12015 -,,,,,,,6712,12069 -,,,,,,,6713,12291 -,,,,,,,6714,12602 -,,,,,,,6715,13254 -,,,,,,,6716,13218 -,,,,,,,6717,12715 -,,,,,,,6718,11911 -,,,,,,,6719,10950 -,,,,,,,6720,10000 -,,,,,,,6721,9282 -,,,,,,,6722,8858 -,,,,,,,6723,8659 -,,,,,,,6724,8633 -,,,,,,,6725,8851 -,,,,,,,6726,9511 -,,,,,,,6727,10657 -,,,,,,,6728,11648 -,,,,,,,6729,12451 -,,,,,,,6730,12993 -,,,,,,,6731,13307 -,,,,,,,6732,13408 -,,,,,,,6733,13323 -,,,,,,,6734,13258 -,,,,,,,6735,13168 -,,,,,,,6736,13084 -,,,,,,,6737,13257 -,,,,,,,6738,13739 -,,,,,,,6739,14529 -,,,,,,,6740,14583 -,,,,,,,6741,13937 -,,,,,,,6742,12865 -,,,,,,,6743,11543 -,,,,,,,6744,10365 -,,,,,,,6745,9552 -,,,,,,,6746,9117 -,,,,,,,6747,8917 -,,,,,,,6748,8888 -,,,,,,,6749,9158 -,,,,,,,6750,10137 -,,,,,,,6751,12051 -,,,,,,,6752,13183 -,,,,,,,6753,13528 -,,,,,,,6754,13742 -,,,,,,,6755,13909 -,,,,,,,6756,13980 -,,,,,,,6757,13927 -,,,,,,,6758,13913 -,,,,,,,6759,13786 -,,,,,,,6760,13699 -,,,,,,,6761,13822 -,,,,,,,6762,14228 -,,,,,,,6763,14932 -,,,,,,,6764,14905 -,,,,,,,6765,14237 -,,,,,,,6766,13126 -,,,,,,,6767,11732 -,,,,,,,6768,10495 -,,,,,,,6769,9701 -,,,,,,,6770,9266 -,,,,,,,6771,9053 -,,,,,,,6772,9002 -,,,,,,,6773,9251 -,,,,,,,6774,10193 -,,,,,,,6775,12088 -,,,,,,,6776,13274 -,,,,,,,6777,13612 -,,,,,,,6778,13830 -,,,,,,,6779,14033 -,,,,,,,6780,14127 -,,,,,,,6781,14106 -,,,,,,,6782,14108 -,,,,,,,6783,14026 -,,,,,,,6784,13977 -,,,,,,,6785,14130 -,,,,,,,6786,14451 -,,,,,,,6787,14993 -,,,,,,,6788,14949 -,,,,,,,6789,14282 -,,,,,,,6790,13200 -,,,,,,,6791,11818 -,,,,,,,6792,10565 -,,,,,,,6793,9738 -,,,,,,,6794,9296 -,,,,,,,6795,9054 -,,,,,,,6796,9032 -,,,,,,,6797,9300 -,,,,,,,6798,10258 -,,,,,,,6799,12148 -,,,,,,,6800,13149 -,,,,,,,6801,13423 -,,,,,,,6802,13551 -,,,,,,,6803,13620 -,,,,,,,6804,13608 -,,,,,,,6805,13521 -,,,,,,,6806,13489 -,,,,,,,6807,13321 -,,,,,,,6808,13219 -,,,,,,,6809,13269 -,,,,,,,6810,13569 -,,,,,,,6811,14436 -,,,,,,,6812,14679 -,,,,,,,6813,14156 -,,,,,,,6814,13140 -,,,,,,,6815,11904 -,,,,,,,6816,10710 -,,,,,,,6817,9839 -,,,,,,,6818,9386 -,,,,,,,6819,9156 -,,,,,,,6820,9112 -,,,,,,,6821,9349 -,,,,,,,6822,10301 -,,,,,,,6823,12156 -,,,,,,,6824,13194 -,,,,,,,6825,13500 -,,,,,,,6826,13771 -,,,,,,,6827,13997 -,,,,,,,6828,14044 -,,,,,,,6829,13914 -,,,,,,,6830,13796 -,,,,,,,6831,13515 -,,,,,,,6832,13304 -,,,,,,,6833,13323 -,,,,,,,6834,13615 -,,,,,,,6835,14369 -,,,,,,,6836,14454 -,,,,,,,6837,13965 -,,,,,,,6838,13219 -,,,,,,,6839,12145 -,,,,,,,6840,11057 -,,,,,,,6841,10225 -,,,,,,,6842,9782 -,,,,,,,6843,9561 -,,,,,,,6844,9478 -,,,,,,,6845,9595 -,,,,,,,6846,10016 -,,,,,,,6847,10765 -,,,,,,,6848,11576 -,,,,,,,6849,12419 -,,,,,,,6850,12799 -,,,,,,,6851,12853 -,,,,,,,6852,12679 -,,,,,,,6853,12411 -,,,,,,,6854,12119 -,,,,,,,6855,11889 -,,,,,,,6856,11825 -,,,,,,,6857,12020 -,,,,,,,6858,12528 -,,,,,,,6859,13466 -,,,,,,,6860,13491 -,,,,,,,6861,13089 -,,,,,,,6862,12430 -,,,,,,,6863,11539 -,,,,,,,6864,10596 -,,,,,,,6865,9831 -,,,,,,,6866,9311 -,,,,,,,6867,9054 -,,,,,,,6868,8917 -,,,,,,,6869,8918 -,,,,,,,6870,9146 -,,,,,,,6871,9636 -,,,,,,,6872,10315 -,,,,,,,6873,11271 -,,,,,,,6874,12062 -,,,,,,,6875,12512 -,,,,,,,6876,12760 -,,,,,,,6877,12815 -,,,,,,,6878,12661 -,,,,,,,6879,12461 -,,,,,,,6880,12366 -,,,,,,,6881,12526 -,,,,,,,6882,12924 -,,,,,,,6883,13747 -,,,,,,,6884,13805 -,,,,,,,6885,13269 -,,,,,,,6886,12247 -,,,,,,,6887,11122 -,,,,,,,6888,10107 -,,,,,,,6889,9398 -,,,,,,,6890,9043 -,,,,,,,6891,8888 -,,,,,,,6892,8883 -,,,,,,,6893,9166 -,,,,,,,6894,10164 -,,,,,,,6895,12056 -,,,,,,,6896,13156 -,,,,,,,6897,13510 -,,,,,,,6898,13922 -,,,,,,,6899,14204 -,,,,,,,6900,14323 -,,,,,,,6901,14304 -,,,,,,,6902,14320 -,,,,,,,6903,14189 -,,,,,,,6904,14090 -,,,,,,,6905,14178 -,,,,,,,6906,14605 -,,,,,,,6907,15321 -,,,,,,,6908,15106 -,,,,,,,6909,14371 -,,,,,,,6910,13249 -,,,,,,,6911,11874 -,,,,,,,6912,10677 -,,,,,,,6913,9858 -,,,,,,,6914,9386 -,,,,,,,6915,9120 -,,,,,,,6916,9014 -,,,,,,,6917,9190 -,,,,,,,6918,10058 -,,,,,,,6919,11888 -,,,,,,,6920,13017 -,,,,,,,6921,13231 -,,,,,,,6922,13386 -,,,,,,,6923,13575 -,,,,,,,6924,13620 -,,,,,,,6925,13524 -,,,,,,,6926,13483 -,,,,,,,6927,13312 -,,,,,,,6928,13201 -,,,,,,,6929,13324 -,,,,,,,6930,13740 -,,,,,,,6931,14689 -,,,,,,,6932,14711 -,,,,,,,6933,14126 -,,,,,,,6934,13046 -,,,,,,,6935,11841 -,,,,,,,6936,10700 -,,,,,,,6937,9824 -,,,,,,,6938,9407 -,,,,,,,6939,9226 -,,,,,,,6940,9211 -,,,,,,,6941,9509 -,,,,,,,6942,10513 -,,,,,,,6943,12477 -,,,,,,,6944,13504 -,,,,,,,6945,13686 -,,,,,,,6946,13692 -,,,,,,,6947,13731 -,,,,,,,6948,13674 -,,,,,,,6949,13577 -,,,,,,,6950,13543 -,,,,,,,6951,13408 -,,,,,,,6952,13306 -,,,,,,,6953,13361 -,,,,,,,6954,13756 -,,,,,,,6955,14711 -,,,,,,,6956,14701 -,,,,,,,6957,14124 -,,,,,,,6958,13100 -,,,,,,,6959,11697 -,,,,,,,6960,10539 -,,,,,,,6961,9752 -,,,,,,,6962,9339 -,,,,,,,6963,9161 -,,,,,,,6964,9117 -,,,,,,,6965,9403 -,,,,,,,6966,10389 -,,,,,,,6967,12357 -,,,,,,,6968,13419 -,,,,,,,6969,13599 -,,,,,,,6970,13673 -,,,,,,,6971,13767 -,,,,,,,6972,13130 -,,,,,,,6973,13386 -,,,,,,,6974,13375 -,,,,,,,6975,13724 -,,,,,,,6976,12889 -,,,,,,,6977,13466 -,,,,,,,6978,13785 -,,,,,,,6979,14660 -,,,,,,,6980,14653 -,,,,,,,6981,14059 -,,,,,,,6982,13056 -,,,,,,,6983,11741 -,,,,,,,6984,10531 -,,,,,,,6985,9705 -,,,,,,,6986,9258 -,,,,,,,6987,9046 -,,,,,,,6988,8998 -,,,,,,,6989,9240 -,,,,,,,6990,10148 -,,,,,,,6991,11994 -,,,,,,,6992,13237 -,,,,,,,6993,13673 -,,,,,,,6994,13984 -,,,,,,,6995,14239 -,,,,,,,6996,14308 -,,,,,,,6997,14230 -,,,,,,,6998,14215 -,,,,,,,6999,14095 -,,,,,,,7000,14014 -,,,,,,,7001,14124 -,,,,,,,7002,14475 -,,,,,,,7003,14812 -,,,,,,,7004,14451 -,,,,,,,7005,13875 -,,,,,,,7006,13060 -,,,,,,,7007,11969 -,,,,,,,7008,10825 -,,,,,,,7009,9966 -,,,,,,,7010,9474 -,,,,,,,7011,9183 -,,,,,,,7012,9057 -,,,,,,,7013,9095 -,,,,,,,7014,9398 -,,,,,,,7015,10098 -,,,,,,,7016,10924 -,,,,,,,7017,11869 -,,,,,,,7018,12599 -,,,,,,,7019,12963 -,,,,,,,7020,13059 -,,,,,,,7021,12957 -,,,,,,,7022,12744 -,,,,,,,7023,12489 -,,,,,,,7024,12329 -,,,,,,,7025,12366 -,,,,,,,7026,12630 -,,,,,,,7027,13394 -,,,,,,,7028,13221 -,,,,,,,7029,12742 -,,,,,,,7030,12050 -,,,,,,,7031,11141 -,,,,,,,7032,10192 -,,,,,,,7033,9412 -,,,,,,,7034,8905 -,,,,,,,7035,8636 -,,,,,,,7036,8492 -,,,,,,,7037,8502 -,,,,,,,7038,8708 -,,,,,,,7039,9196 -,,,,,,,7040,9761 -,,,,,,,7041,10650 -,,,,,,,7042,11346 -,,,,,,,7043,11682 -,,,,,,,7044,11861 -,,,,,,,7045,11925 -,,,,,,,7046,11848 -,,,,,,,7047,11789 -,,,,,,,7048,11821 -,,,,,,,7049,12112 -,,,,,,,7050,12677 -,,,,,,,7051,13657 -,,,,,,,7052,13420 -,,,,,,,7053,12952 -,,,,,,,7054,11985 -,,,,,,,7055,10850 -,,,,,,,7056,9830 -,,,,,,,7057,9118 -,,,,,,,7058,8758 -,,,,,,,7059,8613 -,,,,,,,7060,8622 -,,,,,,,7061,8906 -,,,,,,,7062,9909 -,,,,,,,7063,11852 -,,,,,,,7064,12912 -,,,,,,,7065,13175 -,,,,,,,7066,13426 -,,,,,,,7067,13644 -,,,,,,,7068,13724 -,,,,,,,7069,13662 -,,,,,,,7070,13644 -,,,,,,,7071,13507 -,,,,,,,7072,13402 -,,,,,,,7073,13489 -,,,,,,,7074,13915 -,,,,,,,7075,14859 -,,,,,,,7076,14698 -,,,,,,,7077,13967 -,,,,,,,7078,12884 -,,,,,,,7079,11595 -,,,,,,,7080,10415 -,,,,,,,7081,9548 -,,,,,,,7082,9096 -,,,,,,,7083,8871 -,,,,,,,7084,8847 -,,,,,,,7085,9077 -,,,,,,,7086,10090 -,,,,,,,7087,12035 -,,,,,,,7088,13065 -,,,,,,,7089,13270 -,,,,,,,7090,13406 -,,,,,,,7091,13558 -,,,,,,,7092,13623 -,,,,,,,7093,13581 -,,,,,,,7094,13599 -,,,,,,,7095,13470 -,,,,,,,7096,13382 -,,,,,,,7097,13509 -,,,,,,,7098,14049 -,,,,,,,7099,14938 -,,,,,,,7100,14688 -,,,,,,,7101,14001 -,,,,,,,7102,12952 -,,,,,,,7103,11585 -,,,,,,,7104,10394 -,,,,,,,7105,9622 -,,,,,,,7106,9201 -,,,,,,,7107,8983 -,,,,,,,7108,8930 -,,,,,,,7109,9185 -,,,,,,,7110,10145 -,,,,,,,7111,12120 -,,,,,,,7112,13238 -,,,,,,,7113,13463 -,,,,,,,7114,13617 -,,,,,,,7115,13726 -,,,,,,,7116,13737 -,,,,,,,7117,13688 -,,,,,,,7118,13661 -,,,,,,,7119,13513 -,,,,,,,7120,13411 -,,,,,,,7121,13562 -,,,,,,,7122,14139 -,,,,,,,7123,14918 -,,,,,,,7124,14689 -,,,,,,,7125,14047 -,,,,,,,7126,13044 -,,,,,,,7127,11652 -,,,,,,,7128,10476 -,,,,,,,7129,9677 -,,,,,,,7130,9258 -,,,,,,,7131,9057 -,,,,,,,7132,9032 -,,,,,,,7133,9282 -,,,,,,,7134,10273 -,,,,,,,7135,12228 -,,,,,,,7136,13265 -,,,,,,,7137,13411 -,,,,,,,7138,13550 -,,,,,,,7139,13675 -,,,,,,,7140,13688 -,,,,,,,7141,13599 -,,,,,,,7142,13566 -,,,,,,,7143,13409 -,,,,,,,7144,13295 -,,,,,,,7145,13382 -,,,,,,,7146,13866 -,,,,,,,7147,14766 -,,,,,,,7148,14612 -,,,,,,,7149,14030 -,,,,,,,7150,13052 -,,,,,,,7151,11728 -,,,,,,,7152,10524 -,,,,,,,7153,9719 -,,,,,,,7154,9261 -,,,,,,,7155,9045 -,,,,,,,7156,9012 -,,,,,,,7157,9246 -,,,,,,,7158,10192 -,,,,,,,7159,12059 -,,,,,,,7160,13140 -,,,,,,,7161,13386 -,,,,,,,7162,13602 -,,,,,,,7163,13758 -,,,,,,,7164,13770 -,,,,,,,7165,13661 -,,,,,,,7166,13583 -,,,,,,,7167,13428 -,,,,,,,7168,13287 -,,,,,,,7169,13271 -,,,,,,,7170,13601 -,,,,,,,7171,14262 -,,,,,,,7172,13951 -,,,,,,,7173,13400 -,,,,,,,7174,12604 -,,,,,,,7175,11533 -,,,,,,,7176,10431 -,,,,,,,7177,9610 -,,,,,,,7178,9125 -,,,,,,,7179,8857 -,,,,,,,7180,8729 -,,,,,,,7181,8783 -,,,,,,,7182,9146 -,,,,,,,7183,9900 -,,,,,,,7184,10707 -,,,,,,,7185,11607 -,,,,,,,7186,12219 -,,,,,,,7187,12494 -,,,,,,,7188,12498 -,,,,,,,7189,12412 -,,,,,,,7190,12240 -,,,,,,,7191,12051 -,,,,,,,7192,11963 -,,,,,,,7193,12089 -,,,,,,,7194,12680 -,,,,,,,7195,13478 -,,,,,,,7196,13183 -,,,,,,,7197,12691 -,,,,,,,7198,12008 -,,,,,,,7199,11146 -,,,,,,,7200,10216 -,,,,,,,7201,9476 -,,,,,,,7202,8988 -,,,,,,,7203,8693 -,,,,,,,7204,8553 -,,,,,,,7205,8550 -,,,,,,,7206,8769 -,,,,,,,7207,9286 -,,,,,,,7208,10003 -,,,,,,,7209,10945 -,,,,,,,7210,11782 -,,,,,,,7211,12266 -,,,,,,,7212,12557 -,,,,,,,7213,12734 -,,,,,,,7214,12708 -,,,,,,,7215,12664 -,,,,,,,7216,12686 -,,,,,,,7217,13030 -,,,,,,,7218,13778 -,,,,,,,7219,14403 -,,,,,,,7220,14081 -,,,,,,,7221,13416 -,,,,,,,7222,12503 -,,,,,,,7223,11455 -,,,,,,,7224,10441 -,,,,,,,7225,9598 -,,,,,,,7226,9114 -,,,,,,,7227,8861 -,,,,,,,7228,8801 -,,,,,,,7229,9013 -,,,,,,,7230,9818 -,,,,,,,7231,11194 -,,,,,,,7232,12307 -,,,,,,,7233,13104 -,,,,,,,7234,13779 -,,,,,,,7235,14160 -,,,,,,,7236,14258 -,,,,,,,7237,14078 -,,,,,,,7238,13784 -,,,,,,,7239,13181 -,,,,,,,7240,12554 -,,,,,,,7241,12238 -,,,,,,,7242,12269 -,,,,,,,7243,11921 -,,,,,,,7244,11075 -,,,,,,,7245,10344 -,,,,,,,7246,9649 -,,,,,,,7247,8877 -,,,,,,,7248,8169 -,,,,,,,7249,7673 -,,,,,,,7250,7404 -,,,,,,,7251,7258 -,,,,,,,7252,7249 -,,,,,,,7253,7459 -,,,,,,,7254,8094 -,,,,,,,7255,9283 -,,,,,,,7256,10300 -,,,,,,,7257,10938 -,,,,,,,7258,11441 -,,,,,,,7259,11849 -,,,,,,,7260,12056 -,,,,,,,7261,12168 -,,,,,,,7262,12204 -,,,,,,,7263,12108 -,,,,,,,7264,12117 -,,,,,,,7265,12380 -,,,,,,,7266,13062 -,,,,,,,7267,13488 -,,,,,,,7268,13131 -,,,,,,,7269,12562 -,,,,,,,7270,11595 -,,,,,,,7271,10531 -,,,,,,,7272,9565 -,,,,,,,7273,8921 -,,,,,,,7274,8555 -,,,,,,,7275,8355 -,,,,,,,7276,8316 -,,,,,,,7277,8534 -,,,,,,,7278,9374 -,,,,,,,7279,11041 -,,,,,,,7280,12131 -,,,,,,,7281,12400 -,,,,,,,7282,12655 -,,,,,,,7283,12868 -,,,,,,,7284,12947 -,,,,,,,7285,12905 -,,,,,,,7286,12880 -,,,,,,,7287,12773 -,,,,,,,7288,12724 -,,,,,,,7289,12876 -,,,,,,,7290,13237 -,,,,,,,7291,13491 -,,,,,,,7292,13213 -,,,,,,,7293,12888 -,,,,,,,7294,12147 -,,,,,,,7295,11026 -,,,,,,,7296,9979 -,,,,,,,7297,9294 -,,,,,,,7298,8930 -,,,,,,,7299,8731 -,,,,,,,7300,8688 -,,,,,,,7301,8940 -,,,,,,,7302,9842 -,,,,,,,7303,11601 -,,,,,,,7304,12680 -,,,,,,,7305,12865 -,,,,,,,7306,13025 -,,,,,,,7307,13141 -,,,,,,,7308,13135 -,,,,,,,7309,13056 -,,,,,,,7310,13013 -,,,,,,,7311,12891 -,,,,,,,7312,12850 -,,,,,,,7313,13079 -,,,,,,,7314,13818 -,,,,,,,7315,14454 -,,,,,,,7316,14214 -,,,,,,,7317,13643 -,,,,,,,7318,12713 -,,,,,,,7319,11475 -,,,,,,,7320,10370 -,,,,,,,7321,9599 -,,,,,,,7322,9174 -,,,,,,,7323,8941 -,,,,,,,7324,8894 -,,,,,,,7325,9132 -,,,,,,,7326,10042 -,,,,,,,7327,11819 -,,,,,,,7328,12973 -,,,,,,,7329,13193 -,,,,,,,7330,13342 -,,,,,,,7331,13449 -,,,,,,,7332,13344 -,,,,,,,7333,13230 -,,,,,,,7334,13212 -,,,,,,,7335,13081 -,,,,,,,7336,13006 -,,,,,,,7337,13219 -,,,,,,,7338,13827 -,,,,,,,7339,14309 -,,,,,,,7340,13967 -,,,,,,,7341,13445 -,,,,,,,7342,12703 -,,,,,,,7343,11695 -,,,,,,,7344,10651 -,,,,,,,7345,9858 -,,,,,,,7346,9370 -,,,,,,,7347,9134 -,,,,,,,7348,9024 -,,,,,,,7349,9097 -,,,,,,,7350,9451 -,,,,,,,7351,10192 -,,,,,,,7352,10992 -,,,,,,,7353,11773 -,,,,,,,7354,12321 -,,,,,,,7355,12502 -,,,,,,,7356,12438 -,,,,,,,7357,12277 -,,,,,,,7358,12059 -,,,,,,,7359,11890 -,,,,,,,7360,11824 -,,,,,,,7361,12110 -,,,,,,,7362,12895 -,,,,,,,7363,13604 -,,,,,,,7364,13317 -,,,,,,,7365,12908 -,,,,,,,7366,12308 -,,,,,,,7367,11502 -,,,,,,,7368,10655 -,,,,,,,7369,9880 -,,,,,,,7370,9252 -,,,,,,,7371,8978 -,,,,,,,7372,8963 -,,,,,,,7373,9120 -,,,,,,,7374,9509 -,,,,,,,7375,10059 -,,,,,,,7376,10863 -,,,,,,,7377,11662 -,,,,,,,7378,12053 -,,,,,,,7379,12100 -,,,,,,,7380,12059 -,,,,,,,7381,11984 -,,,,,,,7382,11895 -,,,,,,,7383,11862 -,,,,,,,7384,12074 -,,,,,,,7385,13202 -,,,,,,,7386,14215 -,,,,,,,7387,14247 -,,,,,,,7388,13811 -,,,,,,,7389,13347 -,,,,,,,7390,12164 -,,,,,,,7391,11027 -,,,,,,,7392,10070 -,,,,,,,7393,9643 -,,,,,,,7394,9357 -,,,,,,,7395,9250 -,,,,,,,7396,9313 -,,,,,,,7397,9708 -,,,,,,,7398,10869 -,,,,,,,7399,12786 -,,,,,,,7400,13815 -,,,,,,,7401,14064 -,,,,,,,7402,14182 -,,,,,,,7403,14213 -,,,,,,,7404,14162 -,,,,,,,7405,14041 -,,,,,,,7406,13942 -,,,,,,,7407,13706 -,,,,,,,7408,13817 -,,,,,,,7409,14831 -,,,,,,,7410,16058 -,,,,,,,7411,15980 -,,,,,,,7412,15541 -,,,,,,,7413,14872 -,,,,,,,7414,13830 -,,,,,,,7415,12569 -,,,,,,,7416,11428 -,,,,,,,7417,10734 -,,,,,,,7418,10394 -,,,,,,,7419,10277 -,,,,,,,7420,10324 -,,,,,,,7421,10692 -,,,,,,,7422,11833 -,,,,,,,7423,13457 -,,,,,,,7424,14263 -,,,,,,,7425,14408 -,,,,,,,7426,14388 -,,,,,,,7427,14342 -,,,,,,,7428,14254 -,,,,,,,7429,14088 -,,,,,,,7430,13973 -,,,,,,,7431,13852 -,,,,,,,7432,13894 -,,,,,,,7433,14750 -,,,,,,,7434,16089 -,,,,,,,7435,16106 -,,,,,,,7436,15789 -,,,,,,,7437,15154 -,,,,,,,7438,14163 -,,,,,,,7439,12922 -,,,,,,,7440,11854 -,,,,,,,7441,11298 -,,,,,,,7442,10841 -,,,,,,,7443,10539 -,,,,,,,7444,10460 -,,,,,,,7445,10867 -,,,,,,,7446,11869 -,,,,,,,7447,13687 -,,,,,,,7448,14544 -,,,,,,,7449,14878 -,,,,,,,7450,15071 -,,,,,,,7451,15215 -,,,,,,,7452,15333 -,,,,,,,7453,15331 -,,,,,,,7454,15393 -,,,,,,,7455,15447 -,,,,,,,7456,15762 -,,,,,,,7457,16508 -,,,,,,,7458,17259 -,,,,,,,7459,17206 -,,,,,,,7460,16537 -,,,,,,,7461,15923 -,,,,,,,7462,14658 -,,,,,,,7463,13225 -,,,,,,,7464,12051 -,,,,,,,7465,11220 -,,,,,,,7466,10828 -,,,,,,,7467,10627 -,,,,,,,7468,10629 -,,,,,,,7469,10944 -,,,,,,,7470,11968 -,,,,,,,7471,13617 -,,,,,,,7472,14616 -,,,,,,,7473,15053 -,,,,,,,7474,15186 -,,,,,,,7475,15319 -,,,,,,,7476,15345 -,,,,,,,7477,15213 -,,,,,,,7478,15168 -,,,,,,,7479,15037 -,,,,,,,7480,15135 -,,,,,,,7481,15940 -,,,,,,,7482,16628 -,,,,,,,7483,16406 -,,,,,,,7484,15972 -,,,,,,,7485,15294 -,,,,,,,7486,14161 -,,,,,,,7487,12813 -,,,,,,,7488,11590 -,,,,,,,7489,10858 -,,,,,,,7490,10449 -,,,,,,,7491,10228 -,,,,,,,7492,10214 -,,,,,,,7493,10539 -,,,,,,,7494,11576 -,,,,,,,7495,13267 -,,,,,,,7496,14096 -,,,,,,,7497,14242 -,,,,,,,7498,14226 -,,,,,,,7499,14202 -,,,,,,,7500,14074 -,,,,,,,7501,13826 -,,,,,,,7502,13695 -,,,,,,,7503,13542 -,,,,,,,7504,13538 -,,,,,,,7505,14296 -,,,,,,,7506,15291 -,,,,,,,7507,15089 -,,,,,,,7508,14610 -,,,,,,,7509,14056 -,,,,,,,7510,13260 -,,,,,,,7511,12228 -,,,,,,,7512,11195 -,,,,,,,7513,10396 -,,,,,,,7514,9974 -,,,,,,,7515,9731 -,,,,,,,7516,9645 -,,,,,,,7517,9772 -,,,,,,,7518,10192 -,,,,,,,7519,10851 -,,,,,,,7520,11633 -,,,,,,,7521,12408 -,,,,,,,7522,12766 -,,,,,,,7523,12791 -,,,,,,,7524,12640 -,,,,,,,7525,12410 -,,,,,,,7526,12169 -,,,,,,,7527,12028 -,,,,,,,7528,12125 -,,,,,,,7529,13080 -,,,,,,,7530,14130 -,,,,,,,7531,13942 -,,,,,,,7532,13534 -,,,,,,,7533,13071 -,,,,,,,7534,12424 -,,,,,,,7535,11586 -,,,,,,,7536,10693 -,,,,,,,7537,10014 -,,,,,,,7538,9568 -,,,,,,,7539,9319 -,,,,,,,7540,9209 -,,,,,,,7541,9266 -,,,,,,,7542,9518 -,,,,,,,7543,9966 -,,,,,,,7544,10629 -,,,,,,,7545,11487 -,,,,,,,7546,11985 -,,,,,,,7547,12169 -,,,,,,,7548,12218 -,,,,,,,7549,12194 -,,,,,,,7550,12033 -,,,,,,,7551,11893 -,,,,,,,7552,11942 -,,,,,,,7553,12926 -,,,,,,,7554,14071 -,,,,,,,7555,13893 -,,,,,,,7556,13430 -,,,,,,,7557,12850 -,,,,,,,7558,12019 -,,,,,,,7559,11045 -,,,,,,,7560,10138 -,,,,,,,7561,9502 -,,,,,,,7562,9143 -,,,,,,,7563,8972 -,,,,,,,7564,8979 -,,,,,,,7565,9258 -,,,,,,,7566,10109 -,,,,,,,7567,11389 -,,,,,,,7568,12398 -,,,,,,,7569,13059 -,,,,,,,7570,13433 -,,,,,,,7571,13654 -,,,,,,,7572,13705 -,,,,,,,7573,13642 -,,,,,,,7574,13579 -,,,,,,,7575,13477 -,,,,,,,7576,13490 -,,,,,,,7577,14452 -,,,,,,,7578,15467 -,,,,,,,7579,15217 -,,,,,,,7580,14677 -,,,,,,,7581,13942 -,,,,,,,7582,12848 -,,,,,,,7583,11555 -,,,,,,,7584,10466 -,,,,,,,7585,9704 -,,,,,,,7586,9277 -,,,,,,,7587,9052 -,,,,,,,7588,9033 -,,,,,,,7589,9304 -,,,,,,,7590,10311 -,,,,,,,7591,12109 -,,,,,,,7592,13178 -,,,,,,,7593,13475 -,,,,,,,7594,13692 -,,,,,,,7595,13906 -,,,,,,,7596,13980 -,,,,,,,7597,13956 -,,,,,,,7598,13965 -,,,,,,,7599,13896 -,,,,,,,7600,14036 -,,,,,,,7601,14858 -,,,,,,,7602,15754 -,,,,,,,7603,15614 -,,,,,,,7604,15185 -,,,,,,,7605,14544 -,,,,,,,7606,13549 -,,,,,,,7607,12242 -,,,,,,,7608,11104 -,,,,,,,7609,10378 -,,,,,,,7610,9988 -,,,,,,,7611,9825 -,,,,,,,7612,9844 -,,,,,,,7613,10198 -,,,,,,,7614,11313 -,,,,,,,7615,13196 -,,,,,,,7616,14099 -,,,,,,,7617,14204 -,,,,,,,7618,14156 -,,,,,,,7619,14122 -,,,,,,,7620,14006 -,,,,,,,7621,13845 -,,,,,,,7622,13736 -,,,,,,,7623,13662 -,,,,,,,7624,13809 -,,,,,,,7625,14797 -,,,,,,,7626,16003 -,,,,,,,7627,15949 -,,,,,,,7628,15583 -,,,,,,,7629,15015 -,,,,,,,7630,14027 -,,,,,,,7631,12748 -,,,,,,,7632,11581 -,,,,,,,7633,10812 -,,,,,,,7634,10427 -,,,,,,,7635,10250 -,,,,,,,7636,10295 -,,,,,,,7637,10632 -,,,,,,,7638,11684 -,,,,,,,7639,13548 -,,,,,,,7640,14485 -,,,,,,,7641,14633 -,,,,,,,7642,14643 -,,,,,,,7643,14606 -,,,,,,,7644,14465 -,,,,,,,7645,14269 -,,,,,,,7646,14200 -,,,,,,,7647,14084 -,,,,,,,7648,14254 -,,,,,,,7649,15297 -,,,,,,,7650,16224 -,,,,,,,7651,16132 -,,,,,,,7652,15753 -,,,,,,,7653,15149 -,,,,,,,7654,14134 -,,,,,,,7655,12844 -,,,,,,,7656,11655 -,,,,,,,7657,10904 -,,,,,,,7658,10506 -,,,,,,,7659,10298 -,,,,,,,7660,10315 -,,,,,,,7661,10625 -,,,,,,,7662,11658 -,,,,,,,7663,13437 -,,,,,,,7664,14358 -,,,,,,,7665,14532 -,,,,,,,7666,14488 -,,,,,,,7667,14429 -,,,,,,,7668,14251 -,,,,,,,7669,14064 -,,,,,,,7670,13992 -,,,,,,,7671,13878 -,,,,,,,7672,13935 -,,,,,,,7673,14848 -,,,,,,,7674,15660 -,,,,,,,7675,15447 -,,,,,,,7676,15002 -,,,,,,,7677,14500 -,,,,,,,7678,13739 -,,,,,,,7679,12750 -,,,,,,,7680,11696 -,,,,,,,7681,10884 -,,,,,,,7682,10432 -,,,,,,,7683,10224 -,,,,,,,7684,10170 -,,,,,,,7685,10283 -,,,,,,,7686,10728 -,,,,,,,7687,11443 -,,,,,,,7688,12212 -,,,,,,,7689,12906 -,,,,,,,7690,13240 -,,,,,,,7691,13222 -,,,,,,,7692,13055 -,,,,,,,7693,12797 -,,,,,,,7694,12529 -,,,,,,,7695,12358 -,,,,,,,7696,12505 -,,,,,,,7697,13550 -,,,,,,,7698,14602 -,,,,,,,7699,14451 -,,,,,,,7700,14059 -,,,,,,,7701,13638 -,,,,,,,7702,13017 -,,,,,,,7703,12241 -,,,,,,,7704,11372 -,,,,,,,7705,10676 -,,,,,,,7706,10273 -,,,,,,,7707,10078 -,,,,,,,7708,10009 -,,,,,,,7709,10097 -,,,,,,,7710,10427 -,,,,,,,7711,10955 -,,,,,,,7712,11598 -,,,,,,,7713,12329 -,,,,,,,7714,12711 -,,,,,,,7715,12804 -,,,,,,,7716,12791 -,,,,,,,7717,12686 -,,,,,,,7718,12548 -,,,,,,,7719,12486 -,,,,,,,7720,12777 -,,,,,,,7721,14017 -,,,,,,,7722,15116 -,,,,,,,7723,15049 -,,,,,,,7724,14652 -,,,,,,,7725,14130 -,,,,,,,7726,13209 -,,,,,,,7727,12128 -,,,,,,,7728,11163 -,,,,,,,7729,10531 -,,,,,,,7730,10216 -,,,,,,,7731,10112 -,,,,,,,7732,10175 -,,,,,,,7733,10560 -,,,,,,,7734,11666 -,,,,,,,7735,13575 -,,,,,,,7736,14544 -,,,,,,,7737,14698 -,,,,,,,7738,14632 -,,,,,,,7739,14562 -,,,,,,,7740,14419 -,,,,,,,7741,14190 -,,,,,,,7742,14064 -,,,,,,,7743,13915 -,,,,,,,7744,14020 -,,,,,,,7745,15079 -,,,,,,,7746,16177 -,,,,,,,7747,16111 -,,,,,,,7748,15743 -,,,,,,,7749,15154 -,,,,,,,7750,14118 -,,,,,,,7751,12836 -,,,,,,,7752,11636 -,,,,,,,7753,10867 -,,,,,,,7754,10471 -,,,,,,,7755,10336 -,,,,,,,7756,10367 -,,,,,,,7757,10721 -,,,,,,,7758,11836 -,,,,,,,7759,13652 -,,,,,,,7760,14514 -,,,,,,,7761,14623 -,,,,,,,7762,14532 -,,,,,,,7763,14421 -,,,,,,,7764,14265 -,,,,,,,7765,14096 -,,,,,,,7766,13990 -,,,,,,,7767,13852 -,,,,,,,7768,13962 -,,,,,,,7769,15056 -,,,,,,,7770,15986 -,,,,,,,7771,15909 -,,,,,,,7772,15534 -,,,,,,,7773,14946 -,,,,,,,7774,14020 -,,,,,,,7775,12721 -,,,,,,,7776,11509 -,,,,,,,7777,10694 -,,,,,,,7778,10258 -,,,,,,,7779,10047 -,,,,,,,7780,10023 -,,,,,,,7781,10328 -,,,,,,,7782,11303 -,,,,,,,7783,12952 -,,,,,,,7784,13956 -,,,,,,,7785,14309 -,,,,,,,7786,14449 -,,,,,,,7787,14465 -,,,,,,,7788,14362 -,,,,,,,7789,14132 -,,,,,,,7790,14026 -,,,,,,,7791,13887 -,,,,,,,7792,13844 -,,,,,,,7793,14775 -,,,,,,,7794,15701 -,,,,,,,7795,15491 -,,,,,,,7796,15050 -,,,,,,,7797,14452 -,,,,,,,7798,13591 -,,,,,,,7799,12471 -,,,,,,,7800,11312 -,,,,,,,7801,10436 -,,,,,,,7802,9930 -,,,,,,,7803,9643 -,,,,,,,7804,9543 -,,,,,,,7805,9643 -,,,,,,,7806,10103 -,,,,,,,7807,10790 -,,,,,,,7808,11629 -,,,,,,,7809,12563 -,,,,,,,7810,13176 -,,,,,,,7811,13441 -,,,,,,,7812,13438 -,,,,,,,7813,12975 -,,,,,,,7814,12225 -,,,,,,,7815,11559 -,,,,,,,7816,11220 -,,,,,,,7817,11647 -,,,,,,,7818,12147 -,,,,,,,7819,12155 -,,,,,,,7820,12131 -,,,,,,,7821,12074 -,,,,,,,7822,11746 -,,,,,,,7823,11237 -,,,,,,,7824,10536 -,,,,,,,7825,9909 -,,,,,,,7826,9569 -,,,,,,,7827,9442 -,,,,,,,7828,9426 -,,,,,,,7829,9650 -,,,,,,,7830,10219 -,,,,,,,7831,10965 -,,,,,,,7832,11598 -,,,,,,,7833,12216 -,,,,,,,7834,12585 -,,,,,,,7835,12702 -,,,,,,,7836,12643 -,,,,,,,7837,12456 -,,,,,,,7838,12250 -,,,,,,,7839,12139 -,,,,,,,7840,12269 -,,,,,,,7841,13394 -,,,,,,,7842,14242 -,,,,,,,7843,14013 -,,,,,,,7844,13575 -,,,,,,,7845,13071 -,,,,,,,7846,12398 -,,,,,,,7847,11509 -,,,,,,,7848,10525 -,,,,,,,7849,9772 -,,,,,,,7850,9305 -,,,,,,,7851,9067 -,,,,,,,7852,8972 -,,,,,,,7853,9060 -,,,,,,,7854,9432 -,,,,,,,7855,10097 -,,,,,,,7856,10854 -,,,,,,,7857,11836 -,,,,,,,7858,12507 -,,,,,,,7859,12739 -,,,,,,,7860,12777 -,,,,,,,7861,12716 -,,,,,,,7862,12565 -,,,,,,,7863,12519 -,,,,,,,7864,12740 -,,,,,,,7865,13897 -,,,,,,,7866,14774 -,,,,,,,7867,14655 -,,,,,,,7868,14309 -,,,,,,,7869,13913 -,,,,,,,7870,13308 -,,,,,,,7871,12447 -,,,,,,,7872,11523 -,,,,,,,7873,10777 -,,,,,,,7874,10318 -,,,,,,,7875,10086 -,,,,,,,7876,10005 -,,,,,,,7877,10097 -,,,,,,,7878,10393 -,,,,,,,7879,10860 -,,,,,,,7880,11435 -,,,,,,,7881,12355 -,,,,,,,7882,13038 -,,,,,,,7883,13448 -,,,,,,,7884,13653 -,,,,,,,7885,13670 -,,,,,,,7886,13530 -,,,,,,,7887,13520 -,,,,,,,7888,13790 -,,,,,,,7889,15029 -,,,,,,,7890,15968 -,,,,,,,7891,15846 -,,,,,,,7892,15422 -,,,,,,,7893,14900 -,,,,,,,7894,13793 -,,,,,,,7895,12593 -,,,,,,,7896,11513 -,,,,,,,7897,10794 -,,,,,,,7898,10419 -,,,,,,,7899,10263 -,,,,,,,7900,10270 -,,,,,,,7901,10649 -,,,,,,,7902,11731 -,,,,,,,7903,13637 -,,,,,,,7904,14600 -,,,,,,,7905,14683 -,,,,,,,7906,14708 -,,,,,,,7907,14688 -,,,,,,,7908,14603 -,,,,,,,7909,14485 -,,,,,,,7910,14379 -,,,,,,,7911,14232 -,,,,,,,7912,14385 -,,,,,,,7913,15570 -,,,,,,,7914,16741 -,,,,,,,7915,16720 -,,,,,,,7916,16363 -,,,,,,,7917,15719 -,,,,,,,7918,14657 -,,,,,,,7919,13262 -,,,,,,,7920,12008 -,,,,,,,7921,11232 -,,,,,,,7922,10825 -,,,,,,,7923,10632 -,,,,,,,7924,10622 -,,,,,,,7925,10948 -,,,,,,,7926,11984 -,,,,,,,7927,13879 -,,,,,,,7928,14890 -,,,,,,,7929,15134 -,,,,,,,7930,15241 -,,,,,,,7931,15360 -,,,,,,,7932,15407 -,,,,,,,7933,15385 -,,,,,,,7934,15372 -,,,,,,,7935,15285 -,,,,,,,7936,15482 -,,,,,,,7937,16544 -,,,,,,,7938,17247 -,,,,,,,7939,17114 -,,,,,,,7940,16657 -,,,,,,,7941,15936 -,,,,,,,7942,14783 -,,,,,,,7943,13342 -,,,,,,,7944,12052 -,,,,,,,7945,11212 -,,,,,,,7946,10765 -,,,,,,,7947,10582 -,,,,,,,7948,10580 -,,,,,,,7949,10913 -,,,,,,,7950,11967 -,,,,,,,7951,13892 -,,,,,,,7952,14909 -,,,,,,,7953,15021 -,,,,,,,7954,15047 -,,,,,,,7955,15090 -,,,,,,,7956,14972 -,,,,,,,7957,14789 -,,,,,,,7958,14745 -,,,,,,,7959,14707 -,,,,,,,7960,14923 -,,,,,,,7961,16090 -,,,,,,,7962,17024 -,,,,,,,7963,16929 -,,,,,,,7964,16555 -,,,,,,,7965,15960 -,,,,,,,7966,14943 -,,,,,,,7967,13555 -,,,,,,,7968,12286 -,,,,,,,7969,11467 -,,,,,,,7970,11058 -,,,,,,,7971,10887 -,,,,,,,7972,10887 -,,,,,,,7973,11199 -,,,,,,,7974,12282 -,,,,,,,7975,14219 -,,,,,,,7976,15127 -,,,,,,,7977,15125 -,,,,,,,7978,15018 -,,,,,,,7979,14964 -,,,,,,,7980,14852 -,,,,,,,7981,14629 -,,,,,,,7982,14554 -,,,,,,,7983,14425 -,,,,,,,7984,14595 -,,,,,,,7985,15719 -,,,,,,,7986,16734 -,,,,,,,7987,16799 -,,,,,,,7988,16469 -,,,,,,,7989,15825 -,,,,,,,7990,14781 -,,,,,,,7991,13370 -,,,,,,,7992,12072 -,,,,,,,7993,11235 -,,,,,,,7994,10810 -,,,,,,,7995,10602 -,,,,,,,7996,10616 -,,,,,,,7997,10957 -,,,,,,,7998,12045 -,,,,,,,7999,13944 -,,,,,,,8000,14911 -,,,,,,,8001,15150 -,,,,,,,8002,15217 -,,,,,,,8003,15164 -,,,,,,,8004,15046 -,,,,,,,8005,14900 -,,,,,,,8006,14858 -,,,,,,,8007,14810 -,,,,,,,8008,15038 -,,,,,,,8009,16197 -,,,,,,,8010,16809 -,,,,,,,8011,16546 -,,,,,,,8012,16123 -,,,,,,,8013,15589 -,,,,,,,8014,14777 -,,,,,,,8015,13634 -,,,,,,,8016,12447 -,,,,,,,8017,11548 -,,,,,,,8018,11024 -,,,,,,,8019,10774 -,,,,,,,8020,10690 -,,,,,,,8021,10789 -,,,,,,,8022,11193 -,,,,,,,8023,12012 -,,,,,,,8024,12926 -,,,,,,,8025,13927 -,,,,,,,8026,14585 -,,,,,,,8027,14890 -,,,,,,,8028,14924 -,,,,,,,8029,14859 -,,,,,,,8030,14716 -,,,,,,,8031,14618 -,,,,,,,8032,14799 -,,,,,,,8033,15789 -,,,,,,,8034,16218 -,,,,,,,8035,15952 -,,,,,,,8036,15432 -,,,,,,,8037,14901 -,,,,,,,8038,14169 -,,,,,,,8039,13158 -,,,,,,,8040,12047 -,,,,,,,8041,11184 -,,,,,,,8042,10643 -,,,,,,,8043,10321 -,,,,,,,8044,10174 -,,,,,,,8045,10187 -,,,,,,,8046,10433 -,,,,,,,8047,10959 -,,,,,,,8048,11635 -,,,,,,,8049,12549 -,,,,,,,8050,13218 -,,,,,,,8051,13520 -,,,,,,,8052,13618 -,,,,,,,8053,13627 -,,,,,,,8054,13477 -,,,,,,,8055,13343 -,,,,,,,8056,13536 -,,,,,,,8057,14864 -,,,,,,,8058,15679 -,,,,,,,8059,15500 -,,,,,,,8060,15063 -,,,,,,,8061,14410 -,,,,,,,8062,13363 -,,,,,,,8063,12071 -,,,,,,,8064,10880 -,,,,,,,8065,10088 -,,,,,,,8066,9663 -,,,,,,,8067,9444 -,,,,,,,8068,9465 -,,,,,,,8069,9823 -,,,,,,,8070,10913 -,,,,,,,8071,12855 -,,,,,,,8072,13782 -,,,,,,,8073,13900 -,,,,,,,8074,13961 -,,,,,,,8075,14012 -,,,,,,,8076,13948 -,,,,,,,8077,13847 -,,,,,,,8078,13773 -,,,,,,,8079,13662 -,,,,,,,8080,13777 -,,,,,,,8081,15012 -,,,,,,,8082,16180 -,,,,,,,8083,16118 -,,,,,,,8084,15740 -,,,,,,,8085,15113 -,,,,,,,8086,14070 -,,,,,,,8087,12668 -,,,,,,,8088,11400 -,,,,,,,8089,10537 -,,,,,,,8090,10116 -,,,,,,,8091,9950 -,,,,,,,8092,9933 -,,,,,,,8093,10280 -,,,,,,,8094,11364 -,,,,,,,8095,13277 -,,,,,,,8096,14318 -,,,,,,,8097,14543 -,,,,,,,8098,14663 -,,,,,,,8099,14745 -,,,,,,,8100,14741 -,,,,,,,8101,14660 -,,,,,,,8102,14590 -,,,,,,,8103,14462 -,,,,,,,8104,14591 -,,,,,,,8105,15718 -,,,,,,,8106,16486 -,,,,,,,8107,16324 -,,,,,,,8108,15830 -,,,,,,,8109,15131 -,,,,,,,8110,14025 -,,,,,,,8111,12490 -,,,,,,,8112,11127 -,,,,,,,8113,10263 -,,,,,,,8114,9781 -,,,,,,,8115,9493 -,,,,,,,8116,9425 -,,,,,,,8117,9701 -,,,,,,,8118,10706 -,,,,,,,8119,12607 -,,,,,,,8120,13597 -,,,,,,,8121,13756 -,,,,,,,8122,13805 -,,,,,,,8123,13863 -,,,,,,,8124,13855 -,,,,,,,8125,13803 -,,,,,,,8126,13835 -,,,,,,,8127,13810 -,,,,,,,8128,14041 -,,,,,,,8129,15387 -,,,,,,,8130,16469 -,,,,,,,8131,16470 -,,,,,,,8132,16155 -,,,,,,,8133,15607 -,,,,,,,8134,14585 -,,,,,,,8135,13196 -,,,,,,,8136,11908 -,,,,,,,8137,11123 -,,,,,,,8138,10740 -,,,,,,,8139,10575 -,,,,,,,8140,10590 -,,,,,,,8141,10976 -,,,,,,,8142,12131 -,,,,,,,8143,14121 -,,,,,,,8144,15063 -,,,,,,,8145,15116 -,,,,,,,8146,15071 -,,,,,,,8147,15001 -,,,,,,,8148,14818 -,,,,,,,8149,14612 -,,,,,,,8150,14498 -,,,,,,,8151,14394 -,,,,,,,8152,14591 -,,,,,,,8153,16010 -,,,,,,,8154,17104 -,,,,,,,8155,17109 -,,,,,,,8156,16821 -,,,,,,,8157,16280 -,,,,,,,8158,15292 -,,,,,,,8159,13867 -,,,,,,,8160,12511 -,,,,,,,8161,11646 -,,,,,,,8162,11212 -,,,,,,,8163,10989 -,,,,,,,8164,10970 -,,,,,,,8165,11286 -,,,,,,,8166,12318 -,,,,,,,8167,14205 -,,,,,,,8168,15197 -,,,,,,,8169,15360 -,,,,,,,8170,15329 -,,,,,,,8171,15288 -,,,,,,,8172,15109 -,,,,,,,8173,14881 -,,,,,,,8174,14832 -,,,,,,,8175,14757 -,,,,,,,8176,14915 -,,,,,,,8177,16028 -,,,,,,,8178,16478 -,,,,,,,8179,16185 -,,,,,,,8180,15663 -,,,,,,,8181,15059 -,,,,,,,8182,14223 -,,,,,,,8183,13034 -,,,,,,,8184,11743 -,,,,,,,8185,10793 -,,,,,,,8186,10237 -,,,,,,,8187,9915 -,,,,,,,8188,9802 -,,,,,,,8189,9878 -,,,,,,,8190,10270 -,,,,,,,8191,11025 -,,,,,,,8192,11940 -,,,,,,,8193,12944 -,,,,,,,8194,13619 -,,,,,,,8195,13944 -,,,,,,,8196,13965 -,,,,,,,8197,13818 -,,,,,,,8198,13618 -,,,,,,,8199,13527 -,,,,,,,8200,13688 -,,,,,,,8201,14738 -,,,,,,,8202,15300 -,,,,,,,8203,15017 -,,,,,,,8204,14525 -,,,,,,,8205,14032 -,,,,,,,8206,13343 -,,,,,,,8207,12390 -,,,,,,,8208,11284 -,,,,,,,8209,10417 -,,,,,,,8210,9859 -,,,,,,,8211,9566 -,,,,,,,8212,9435 -,,,,,,,8213,9511 -,,,,,,,8214,9789 -,,,,,,,8215,10353 -,,,,,,,8216,10947 -,,,,,,,8217,11844 -,,,,,,,8218,12533 -,,,,,,,8219,12895 -,,,,,,,8220,13092 -,,,,,,,8221,13164 -,,,,,,,8222,13092 -,,,,,,,8223,13020 -,,,,,,,8224,13370 -,,,,,,,8225,14933 -,,,,,,,8226,15821 -,,,,,,,8227,15733 -,,,,,,,8228,15367 -,,,,,,,8229,14769 -,,,,,,,8230,13783 -,,,,,,,8231,12469 -,,,,,,,8232,11224 -,,,,,,,8233,10406 -,,,,,,,8234,9991 -,,,,,,,8235,9805 -,,,,,,,8236,9784 -,,,,,,,8237,10129 -,,,,,,,8238,11174 -,,,,,,,8239,13060 -,,,,,,,8240,14298 -,,,,,,,8241,14579 -,,,,,,,8242,14774 -,,,,,,,8243,14931 -,,,,,,,8244,14953 -,,,,,,,8245,14911 -,,,,,,,8246,14892 -,,,,,,,8247,14767 -,,,,,,,8248,15001 -,,,,,,,8249,16110 -,,,,,,,8250,16773 -,,,,,,,8251,16569 -,,,,,,,8252,16071 -,,,,,,,8253,15354 -,,,,,,,8254,14215 -,,,,,,,8255,12800 -,,,,,,,8256,11388 -,,,,,,,8257,10376 -,,,,,,,8258,9837 -,,,,,,,8259,9565 -,,,,,,,8260,9518 -,,,,,,,8261,9785 -,,,,,,,8262,10858 -,,,,,,,8263,12821 -,,,,,,,8264,13984 -,,,,,,,8265,14234 -,,,,,,,8266,14304 -,,,,,,,8267,14300 -,,,,,,,8268,14259 -,,,,,,,8269,14127 -,,,,,,,8270,14101 -,,,,,,,8271,14049 -,,,,,,,8272,14296 -,,,,,,,8273,15682 -,,,,,,,8274,16785 -,,,,,,,8275,16777 -,,,,,,,8276,16457 -,,,,,,,8277,15889 -,,,,,,,8278,14870 -,,,,,,,8279,13400 -,,,,,,,8280,12033 -,,,,,,,8281,11174 -,,,,,,,8282,10760 -,,,,,,,8283,10576 -,,,,,,,8284,10590 -,,,,,,,8285,10966 -,,,,,,,8286,12081 -,,,,,,,8287,14084 -,,,,,,,8288,15127 -,,,,,,,8289,15187 -,,,,,,,8290,15125 -,,,,,,,8291,15053 -,,,,,,,8292,14949 -,,,,,,,8293,14767 -,,,,,,,8294,14716 -,,,,,,,8295,14607 -,,,,,,,8296,14873 -,,,,,,,8297,16284 -,,,,,,,8298,17322 -,,,,,,,8299,17254 -,,,,,,,8300,16939 -,,,,,,,8301,16362 -,,,,,,,8302,15375 -,,,,,,,8303,13906 -,,,,,,,8304,12497 -,,,,,,,8305,11550 -,,,,,,,8306,11068 -,,,,,,,8307,10869 -,,,,,,,8308,10889 -,,,,,,,8309,11220 -,,,,,,,8310,12314 -,,,,,,,8311,14288 -,,,,,,,8312,15286 -,,,,,,,8313,15338 -,,,,,,,8314,15126 -,,,,,,,8315,14929 -,,,,,,,8316,14725 -,,,,,,,8317,14506 -,,,,,,,8318,14411 -,,,,,,,8319,14307 -,,,,,,,8320,14500 -,,,,,,,8321,15843 -,,,,,,,8322,17073 -,,,,,,,8323,17090 -,,,,,,,8324,16823 -,,,,,,,8325,16300 -,,,,,,,8326,15341 -,,,,,,,8327,13901 -,,,,,,,8328,12511 -,,,,,,,8329,11589 -,,,,,,,8330,11141 -,,,,,,,8331,10941 -,,,,,,,8332,10941 -,,,,,,,8333,11270 -,,,,,,,8334,12346 -,,,,,,,8335,14273 -,,,,,,,8336,15278 -,,,,,,,8337,15320 -,,,,,,,8338,15145 -,,,,,,,8339,14987 -,,,,,,,8340,14774 -,,,,,,,8341,14481 -,,,,,,,8342,14282 -,,,,,,,8343,14175 -,,,,,,,8344,14334 -,,,,,,,8345,15635 -,,,,,,,8346,16557 -,,,,,,,8347,16354 -,,,,,,,8348,15955 -,,,,,,,8349,15450 -,,,,,,,8350,14717 -,,,,,,,8351,13558 -,,,,,,,8352,12279 -,,,,,,,8353,11313 -,,,,,,,8354,10746 -,,,,,,,8355,10501 -,,,,,,,8356,10421 -,,,,,,,8357,10543 -,,,,,,,8358,10992 -,,,,,,,8359,11843 -,,,,,,,8360,12707 -,,,,,,,8361,13536 -,,,,,,,8362,13953 -,,,,,,,8363,14020 -,,,,,,,8364,13867 -,,,,,,,8365,13592 -,,,,,,,8366,13320 -,,,,,,,8367,13216 -,,,,,,,8368,13445 -,,,,,,,8369,14914 -,,,,,,,8370,15909 -,,,,,,,8371,15786 -,,,,,,,8372,15404 -,,,,,,,8373,15018 -,,,,,,,8374,14383 -,,,,,,,8375,13437 -,,,,,,,8376,12305 -,,,,,,,8377,11377 -,,,,,,,8378,10812 -,,,,,,,8379,10510 -,,,,,,,8380,10376 -,,,,,,,8381,10414 -,,,,,,,8382,10686 -,,,,,,,8383,11269 -,,,,,,,8384,12010 -,,,,,,,8385,13081 -,,,,,,,8386,13944 -,,,,,,,8387,14409 -,,,,,,,8388,14687 -,,,,,,,8389,14901 -,,,,,,,8390,14971 -,,,,,,,8391,14995 -,,,,,,,8392,15325 -,,,,,,,8393,16458 -,,,,,,,8394,17029 -,,,,,,,8395,16890 -,,,,,,,8396,16425 -,,,,,,,8397,15799 -,,,,,,,8398,14911 -,,,,,,,8399,13612 -,,,,,,,8400,12298 -,,,,,,,8401,11332 -,,,,,,,8402,10773 -,,,,,,,8403,10565 -,,,,,,,8404,10539 -,,,,,,,8405,10889 -,,,,,,,8406,11913 -,,,,,,,8407,13775 -,,,,,,,8408,15063 -,,,,,,,8409,15454 -,,,,,,,8410,15606 -,,,,,,,8411,15761 -,,,,,,,8412,15785 -,,,,,,,8413,15686 -,,,,,,,8414,15624 -,,,,,,,8415,15514 -,,,,,,,8416,15723 -,,,,,,,8417,16900 -,,,,,,,8418,17573 -,,,,,,,8419,17399 -,,,,,,,8420,16961 -,,,,,,,8421,16292 -,,,,,,,8422,15159 -,,,,,,,8423,13623 -,,,,,,,8424,12159 -,,,,,,,8425,11157 -,,,,,,,8426,10663 -,,,,,,,8427,10390 -,,,,,,,8428,10337 -,,,,,,,8429,10602 -,,,,,,,8430,11598 -,,,,,,,8431,13454 -,,,,,,,8432,14644 -,,,,,,,8433,14837 -,,,,,,,8434,14905 -,,,,,,,8435,14994 -,,,,,,,8436,14967 -,,,,,,,8437,14809 -,,,,,,,8438,14740 -,,,,,,,8439,14628 -,,,,,,,8440,14807 -,,,,,,,8441,15955 -,,,,,,,8442,16800 -,,,,,,,8443,16691 -,,,,,,,8444,16309 -,,,,,,,8445,15693 -,,,,,,,8446,14657 -,,,,,,,8447,13209 -,,,,,,,8448,11784 -,,,,,,,8449,10765 -,,,,,,,8450,10258 -,,,,,,,8451,10047 -,,,,,,,8452,10045 -,,,,,,,8453,10387 -,,,,,,,8454,11432 -,,,,,,,8455,13360 -,,,,,,,8456,14487 -,,,,,,,8457,14648 -,,,,,,,8458,14674 -,,,,,,,8459,14681 -,,,,,,,8460,14607 -,,,,,,,8461,14474 -,,,,,,,8462,14490 -,,,,,,,8463,14477 -,,,,,,,8464,14676 -,,,,,,,8465,15942 -,,,,,,,8466,16956 -,,,,,,,8467,16901 -,,,,,,,8468,16554 -,,,,,,,8469,16012 -,,,,,,,8470,15033 -,,,,,,,8471,13585 -,,,,,,,8472,12125 -,,,,,,,8473,11161 -,,,,,,,8474,10630 -,,,,,,,8475,10406 -,,,,,,,8476,10407 -,,,,,,,8477,10756 -,,,,,,,8478,11852 -,,,,,,,8479,13811 -,,,,,,,8480,14821 -,,,,,,,8481,14963 -,,,,,,,8482,14911 -,,,,,,,8483,14823 -,,,,,,,8484,14669 -,,,,,,,8485,14452 -,,,,,,,8486,14423 -,,,,,,,8487,14473 -,,,,,,,8488,14794 -,,,,,,,8489,16028 -,,,,,,,8490,16906 -,,,,,,,8491,16806 -,,,,,,,8492,16485 -,,,,,,,8493,16019 -,,,,,,,8494,15060 -,,,,,,,8495,13617 -,,,,,,,8496,12208 -,,,,,,,8497,11211 -,,,,,,,8498,10645 -,,,,,,,8499,10372 -,,,,,,,8500,10369 -,,,,,,,8501,10626 -,,,,,,,8502,11569 -,,,,,,,8503,13324 -,,,,,,,8504,14603 -,,,,,,,8505,15030 -,,,,,,,8506,15240 -,,,,,,,8507,15320 -,,,,,,,8508,15260 -,,,,,,,8509,14981 -,,,,,,,8510,14767 -,,,,,,,8511,14475 -,,,,,,,8512,14400 -,,,,,,,8513,15441 -,,,,,,,8514,16204 -,,,,,,,8515,15949 -,,,,,,,8516,15503 -,,,,,,,8517,14972 -,,,,,,,8518,14225 -,,,,,,,8519,13129 -,,,,,,,8520,11864 -,,,,,,,8521,10933 -,,,,,,,8522,10376 -,,,,,,,8523,10069 -,,,,,,,8524,9983 -,,,,,,,8525,10079 -,,,,,,,8526,10432 -,,,,,,,8527,11209 -,,,,,,,8528,12094 -,,,,,,,8529,13100 -,,,,,,,8530,13761 -,,,,,,,8531,13977 -,,,,,,,8532,14028 -,,,,,,,8533,13932 -,,,,,,,8534,13823 -,,,,,,,8535,13805 -,,,,,,,8536,14041 -,,,,,,,8537,15272 -,,,,,,,8538,16250 -,,,,,,,8539,16202 -,,,,,,,8540,15860 -,,,,,,,8541,15449 -,,,,,,,8542,14849 -,,,,,,,8543,13865 -,,,,,,,8544,12697 -,,,,,,,8545,11735 -,,,,,,,8546,11122 -,,,,,,,8547,10797 -,,,,,,,8548,10645 -,,,,,,,8549,10672 -,,,,,,,8550,10962 -,,,,,,,8551,11551 -,,,,,,,8552,12188 -,,,,,,,8553,13020 -,,,,,,,8554,13565 -,,,,,,,8555,13748 -,,,,,,,8556,13867 -,,,,,,,8557,13911 -,,,,,,,8558,13818 -,,,,,,,8559,13710 -,,,,,,,8560,13796 -,,,,,,,8561,15038 -,,,,,,,8562,16088 -,,,,,,,8563,16076 -,,,,,,,8564,15782 -,,,,,,,8565,15392 -,,,,,,,8566,14663 -,,,,,,,8567,13620 -,,,,,,,8568,12388 -,,,,,,,8569,11403 -,,,,,,,8570,10834 -,,,,,,,8571,10540 -,,,,,,,8572,10486 -,,,,,,,8573,10719 -,,,,,,,8574,11346 -,,,,,,,8575,12323 -,,,,,,,8576,13191 -,,,,,,,8577,13959 -,,,,,,,8578,14387 -,,,,,,,8579,14532 -,,,,,,,8580,14463 -,,,,,,,8581,14229 -,,,,,,,8582,14042 -,,,,,,,8583,14006 -,,,,,,,8584,14145 -,,,,,,,8585,15247 -,,,,,,,8586,15848 -,,,,,,,8587,15225 -,,,,,,,8588,14604 -,,,,,,,8589,14205 -,,,,,,,8590,13828 -,,,,,,,8591,13208 -,,,,,,,8592,12325 -,,,,,,,8593,11417 -,,,,,,,8594,10762 -,,,,,,,8595,10387 -,,,,,,,8596,10281 -,,,,,,,8597,10354 -,,,,,,,8598,10687 -,,,,,,,8599,11316 -,,,,,,,8600,12125 -,,,,,,,8601,13049 -,,,,,,,8602,13704 -,,,,,,,8603,13962 -,,,,,,,8604,14068 -,,,,,,,8605,13953 -,,,,,,,8606,13602 -,,,,,,,8607,13194 -,,,,,,,8608,13063 -,,,,,,,8609,13808 -,,,,,,,8610,14431 -,,,,,,,8611,14419 -,,,,,,,8612,14350 -,,,,,,,8613,14213 -,,,,,,,8614,13768 -,,,,,,,8615,12909 -,,,,,,,8616,11942 -,,,,,,,8617,11225 -,,,,,,,8618,10837 -,,,,,,,8619,10663 -,,,,,,,8620,10715 -,,,,,,,8621,11024 -,,,,,,,8622,11820 -,,,,,,,8623,13116 -,,,,,,,8624,14111 -,,,,,,,8625,14778 -,,,,,,,8626,15197 -,,,,,,,8627,15412 -,,,,,,,8628,15483 -,,,,,,,8629,15420 -,,,,,,,8630,15382 -,,,,,,,8631,15340 -,,,,,,,8632,15570 -,,,,,,,8633,16703 -,,,,,,,8634,17384 -,,,,,,,8635,17205 -,,,,,,,8636,16744 -,,,,,,,8637,16126 -,,,,,,,8638,15142 -,,,,,,,8639,13870 -,,,,,,,8640,12589 -,,,,,,,8641,11659 -,,,,,,,8642,11147 -,,,,,,,8643,10880 -,,,,,,,8644,10715 -,,,,,,,8645,10988 -,,,,,,,8646,11702 -,,,,,,,8647,12804 -,,,,,,,8648,13845 -,,,,,,,8649,14514 -,,,,,,,8650,15122 -,,,,,,,8651,15509 -,,,,,,,8652,15681 -,,,,,,,8653,15622 -,,,,,,,8654,15524 -,,,,,,,8655,15375 -,,,,,,,8656,15483 -,,,,,,,8657,16441 -,,,,,,,8658,17255 -,,,,,,,8659,17030 -,,,,,,,8660,16528 -,,,,,,,8661,15876 -,,,,,,,8662,14902 -,,,,,,,8663,13631 -,,,,,,,8664,12419 -,,,,,,,8665,11556 -,,,,,,,8666,11106 -,,,,,,,8667,10886 -,,,,,,,8668,10863 -,,,,,,,8669,11132 -,,,,,,,8670,11908 -,,,,,,,8671,13150 -,,,,,,,8672,14081 -,,,,,,,8673,14713 -,,,,,,,8674,15071 -,,,,,,,8675,15186 -,,,,,,,8676,15091 -,,,,,,,8677,14872 -,,,,,,,8678,14687 -,,,,,,,8679,14531 -,,,,,,,8680,14572 -,,,,,,,8681,15679 -,,,,,,,8682,16774 -,,,,,,,8683,16608 -,,,,,,,8684,16156 -,,,,,,,8685,15626 -,,,,,,,8686,14814 -,,,,,,,8687,13742 -,,,,,,,8688,12576 -,,,,,,,8689,11718 -,,,,,,,8690,11205 -,,,,,,,8691,10953 -,,,,,,,8692,10828 -,,,,,,,8693,10893 -,,,,,,,8694,11258 -,,,,,,,8695,11908 -,,,,,,,8696,12635 -,,,,,,,8697,13524 -,,,,,,,8698,14226 -,,,,,,,8699,14583 -,,,,,,,8700,14644 -,,,,,,,8701,14648 -,,,,,,,8702,14613 -,,,,,,,8703,14631 -,,,,,,,8704,14915 -,,,,,,,8705,16007 -,,,,,,,8706,16736 -,,,,,,,8707,16594 -,,,,,,,8708,16084 -,,,,,,,8709,15459 -,,,,,,,8710,14650 -,,,,,,,8711,13591 -,,,,,,,8712,12494 -,,,,,,,8713,11630 -,,,,,,,8714,11074 -,,,,,,,8715,10809 -,,,,,,,8716,10693 -,,,,,,,8717,10760 -,,,,,,,8718,11067 -,,,,,,,8719,11581 -,,,,,,,8720,12108 -,,,,,,,8721,12902 -,,,,,,,8722,13586 -,,,,,,,8723,14044 -,,,,,,,8724,14336 -,,,,,,,8725,14448 -,,,,,,,8726,14340 -,,,,,,,8727,14221 -,,,,,,,8728,14341 -,,,,,,,8729,15635 -,,,,,,,8730,16803 -,,,,,,,8731,16745 -,,,,,,,8732,16333 -,,,,,,,8733,15872 -,,,,,,,8734,15076 -,,,,,,,8735,14028 -,,,,,,,8736,12925 -,,,,,,,8737,12109 -,,,,,,,8738,11651 -,,,,,,,8739,11416 -,,,,,,,8740,11377 -,,,,,,,8741,11585 -,,,,,,,8742,12213 -,,,,,,,8743,13260 -,,,,,,,8744,14083 -,,,,,,,8745,14788 -,,,,,,,8746,15316 -,,,,,,,8747,15553 -,,,,,,,8748,15509 -,,,,,,,8749,15257 -,,,,,,,8750,15002 -,,,,,,,8751,14842 -,,,,,,,8752,14886 -,,,,,,,8753,15965 -,,,,,,,8754,16933 -,,,,,,,8755,16440 -,,,,,,,8756,15059 -,,,,,,,8757,14359 -,,,,,,,8758,13687 -,,,,,,,8759,12986 -,,,,,,,8760,12287 +Voll,Demand_Segment,Cost_of_Demand_Curtailment_per_MW,Max_Demand_Curtailment,$/MWh,Rep_Periods,Timesteps_per_Rep_Period,Sub_Weights,Time_Index,Demand_MW_z1 +2000,1,1,1,2000,1,24,8760,1,10000 +,2,0.9,0.04,1800,,,,2,9500 +,3,0.55,0.024,1100,,,,3,9000 +,4,0.2,0.003,400,,,,4,8500 +,,,,,,,,5,8000 +,,,,,,,,6,7500 +,,,,,,,,7,8000 +,,,,,,,,8,8500 +,,,,,,,,9,9000 +,,,,,,,,10,9500 +,,,,,,,,11,10000 +,,,,,,,,12,10500 +,,,,,,,,13,11000 +,,,,,,,,14,11500 +,,,,,,,,15,12000 +,,,,,,,,16,12500 +,,,,,,,,17,13000 +,,,,,,,,18,14000 +,,,,,,,,19,15000 +,,,,,,,,20,16000 +,,,,,,,,21,17000 +,,,,,,,,22,16000 +,,,,,,,,23,15000 +,,,,,,,,24,14000 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Fuels_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Fuels_data.csv index 7bf22f0dc6..d5b36b7fbf 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Fuels_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Fuels_data.csv @@ -1,8762 +1,26 @@ -Time_Index,NG,None,Biomass -0,0.05306,0,0.095 -1,5.28,0,8 -2,5.28,0,8 -3,5.28,0,8 -4,5.28,0,8 -5,5.28,0,8 -6,5.28,0,8 -7,5.28,0,8 -8,5.28,0,8 -9,5.28,0,8 -10,5.28,0,8 -11,5.28,0,8 -12,5.28,0,8 -13,5.28,0,8 -14,5.28,0,8 -15,5.28,0,8 -16,5.28,0,8 -17,5.28,0,8 -18,5.28,0,8 -19,5.28,0,8 -20,5.28,0,8 -21,5.28,0,8 -22,5.28,0,8 -23,5.28,0,8 -24,5.28,0,8 -25,5.28,0,8 -26,5.28,0,8 -27,5.28,0,8 -28,5.28,0,8 -29,5.28,0,8 -30,5.28,0,8 -31,5.28,0,8 -32,5.28,0,8 -33,5.28,0,8 -34,5.28,0,8 -35,5.28,0,8 -36,5.28,0,8 -37,5.28,0,8 -38,5.28,0,8 -39,5.28,0,8 -40,5.28,0,8 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-8758,4.28,0,8 -8759,4.28,0,8 -8760,4.28,0,8 +Time_Index,NG,Biomass +0,0.05306,0.095 +1,4,8 +2,4,8 +3,4,8 +4,4,8 +5,4,8 +6,4,8 +7,4,8 +8,4,8 +9,4,8 +10,4,8 +11,4,8 +12,4,8 +13,4,8 +14,4,8 +15,4,8 +16,4,8 +17,4,8 +18,4,8 +19,4,8 +20,4,8 +21,4,8 +22,4,8 +23,4,8 +24,4,8 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv index 4dd8176476..584706ee78 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv @@ -1,7 +1,4 @@ -Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Min_Cap_MWh,Min_Charge_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Hydro_Energy_to_Power_Ratio,Min_Power,Self_Disch,Eff_Up,Eff_Down,Min_Duration,Max_Duration,Max_Flexible_Demand_Advance,Max_Flexible_Demand_Delay,Flexible_Demand_Energy_Eff,Reg_Max,Rsv_Max,Reg_Cost,Rsv_Cost,MaxCapTag_1,MaxCapTag_2,MaxCapTag_3,MinCapTag_1,MinCapTag_2,MinCapTag_3,MGA,Resource_Type,CapRes_1,ESR_1,ESR_2,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass -natural_gas_combined_cycle,1,1,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,65400,0,0,10287,0,0,3.55,0,7.43,NG,250,91,2,6,6,0.64,0.64,0,0.468,0,1,1,0,0,0,0,1,0.25,0.5,0,0,0,0,0,0,0,0,1,natural_gas_fired_combined_cycle,0.93,0,0,NE,1,0,0,0,0,0,0,0,0 -solar_pv,1,0,0,0,0,0,1,0,1,1,0,0,0,-1,-1,-1,0,0,0,85300,0,0,18760,0,0,0,0,9.13,None,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,solar_photovoltaic,0.8,1,1,NE,1,0,0,0,0,0,0,0,0 -onshore_wind,1,0,0,0,0,0,1,0,1,1,0,0,0,-1,-1,-1,0,0,0,97200,0,0,43205,0,0,0.1,0,9.12,None,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,onshore_wind_turbine,0.8,1,1,NE,1,0,0,0,0,0,0,0,0 -battery,1,0,0,1,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,19584,22494,0,4895,5622,0,0.15,0.15,0,None,0,0,0,0,0,1,1,0,0,0,0.92,0.92,1,10,0,0,1,0,0,0,0,0,0,1,0,0,1,0,battery_mid,0.95,0,0,NE,0,0,0,0,0,0,0,0,0 -natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,100000,0,0,20000,0,0,3.55,0,8,NG,250,91,2,6,6,0.64,0.64,0,0.468,0,1,1,0,0,0,0,1,0.25,0.5,0,0,0,0,0,0,0,0,1,natural_gas_fired_combined_cycle_ccs,0.93,0,0,NE,1,6,400,7.2,200,0.95,0.6,20,0 -biomass_ccs,1,1,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,200000,0,0,40000,0,0,3.55,0,10,Biomass,250,91,2,6,6,0.64,0.64,0,0.468,0,1,1,0,0,0,0,1,0.25,0.5,0,0,0,0,0,0,0,0,1,biomass_ccs,0.93,0,0,NE,1,0,0,0,0,0.9,0.6,20,1 +Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Min_Cap_MWh,Min_Charge_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Self_Disch,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass +onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0 +natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,5,0,8,NG,250,91,2,6,6,0.64,0.64,0.468,0,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,6,400,7.2,200,0.9,0.6,20,0 +biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,0,1,1,biomass_ccs,NE,1,0,0,0,0,0.9,0.6,20,1 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv index eec3bc3219..9d2a2871bd 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_variability.csv @@ -1,8761 +1,25 @@ -Time_Index,natural_gas_combined_cycle,solar_pv,onshore_wind,battery,natural_gas_combined_cycle_ccs,biomass_ccs -1,1,0,0.889717042,1,1,1 -2,1,0,0.877715468,1,1,1 -3,1,0,0.903424203,1,1,1 -4,1,0,0.895153165,1,1,1 -5,1,0,0.757258117,1,1,1 -6,1,0,0.630928695,1,1,1 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-8732,1,0,1,1,1,1 -8733,1,0,1,1,1,1 -8734,1,0,1,1,1,1 -8735,1,0,1,1,1,1 -8736,1,0,1,1,1,1 -8737,1,0,1,1,1,1 -8738,1,0,1,1,1,1 -8739,1,0,1,1,1,1 -8740,1,0,0.997735381,1,1,1 -8741,1,0,0.971980095,1,1,1 -8742,1,0,0.921495795,1,1,1 -8743,1,0,0.902892113,1,1,1 -8744,1,0,0.196065977,1,1,1 -8745,1,0.118,0.838280916,1,1,1 -8746,1,0.2745,0.825069308,1,1,1 -8747,1,0.3837,0.722560883,1,1,1 -8748,1,0.4294,0.901070952,1,1,1 -8749,1,0.4076,0.90830934,1,1,1 -8750,1,0.4265,0.791800678,1,1,1 -8751,1,0.3834,0.567351937,1,1,1 -8752,1,0.2594,0.626724958,1,1,1 -8753,1,0.078,0.670431972,1,1,1 -8754,1,0,0.744819164,1,1,1 -8755,1,0,0.717831433,1,1,1 -8756,1,0,0.580139875,1,1,1 -8757,1,0,0.539212406,1,1,1 -8758,1,0,0.599321485,1,1,1 -8759,1,0,0.748013735,1,1,1 -8760,1,0,0.814334393,1,1,1 +Time_Index,onshore_wind +1,0.889717042 +2,0.877715468 +3,0.903424203 +4,0.895153165 +5,0.757258117 +6,0.630928695 +7,0.557177782 +8,0.6072492 +9,0.423417866 +10,0.007470775 +11,0.002535942 +12,0.002153709 +13,0.00445132 +14,0.007711587 +15,0.100848213 +16,0.201802149 +17,0.141933054 +18,0.567022562 +19,0.946024895 +20,0.923394203 +21,0.953386247 +22,0.929205418 +23,0.849528909 +24,0.665570974 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/README.md b/Example_Systems/PiecewiseFuel_CO2_Example/README.md index a42aae39e8..b5e355b40c 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/README.md +++ b/Example_Systems/PiecewiseFuel_CO2_Example/README.md @@ -1,12 +1,12 @@ -# PiecewiseFuel_CO2: One Zone +# PiecewiseFuel_CO2 -**PiecewiseFuel_CO2** is set of a simplified versions of the more detailed example system RealSystemExample. It is condensed for easy comprehension and quick testing of different components of the GenX. **PiecewiseFuel_CO2** is our most basic model, a one-year example with hourly resolution containing only one zone representing New England. The model includes only natural gas, solar PV, wind, and lithium-ion battery storage with no initial capacity. +**PiecewiseFuel_CO2** is set of a simplified versions. It is condensed for easy and quick testing of CO2 and piecewise fuel usage related functions of the GenX. **PiecewiseFuel_CO2** is a 24 hr example containing only one zone. The model includes only natural gas ccs, wind, and biomass with ccs, all with fixed initial capacity. To run the model, first navigate to the example directory at `GenX/Example_Systems/PiecewiseFuel_CO2`: `cd("Example_Systems/PiecewiseFuel_CO2")` -Next, ensure that your settings in `GenX_settings.yml` are correct. The default settings use the solver HiGHS (`Solver: HiGHS`), time domain reduced input data (`TimeDomainReduction: 1`). Other optional policies include minimum capacity requirements, a capacity reserve margin, and more. A rate-based carbon cap of 0 gCO2 per kWh (net-zero) is specified in the `CO2_cap.csv` input file. +Next, ensure that your settings in `GenX_settings.yml` are correct. The default settings use the solver HiGHS (`Solver: HiGHS`). Other optional policies include minimum capacity requirements, a capacity reserve margin, and more. A mass-based carbon cap of 0 t CO2 (net-zero) is specified in the `CO2_cap.csv` input file. Once the settings are confirmed, run the model with the `Run.jl` script in the example directory: diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml deleted file mode 100644 index 92c6fa892f..0000000000 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cbc_settings.yml +++ /dev/null @@ -1,11 +0,0 @@ -# CBC Solver Parameters -# Common solver settings -TimeLimit: 110000 # Solution timeout limit. For example, set_optimizer_attribute(model, "seconds", 60.0). - -#CBC-specific solver settings -logLevel: 1 # Set to 1 to enable solution output. For example, set_optimizer_attribute(model, "logLevel", 1). -maxSolutions: -1 # Terminate after this many feasible solutions have been found. For example, set_optimizer_attribute(model, "maxSolutions", 1). -maxNodes: 2000 # Terminate after this many branch-and-bound nodes have been evaluated. For example, set_optimizer_attribute(model, "maxNodes", 1). -allowableGap: 1 # Terminate after optimality gap is less than this value (on an absolute scale). For example, set_optimizer_attribute(model, "allowableGap", 0.05). -ratioGap: 0.01 # Terminate after optimality gap is smaller than this relative fraction. For example, set_optimizer_attribute(model, "allowableGap", 0.05). -threads: 2 # Set the number of threads to use for parallel branch & bound. For example, set_optimizer_attribute(model, "threads", 2) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml deleted file mode 100644 index c4c003d08e..0000000000 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/clp_settings.yml +++ /dev/null @@ -1,14 +0,0 @@ -# Clp Solver parameters https://github.com/jump-dev/Clp.jl -# Common solver settings -Feasib_Tol: 1e-5 # Primal/Dual feasibility tolerance -TimeLimit: -1.0 # Terminate after this many seconds have passed. A negative value means no time limit -Pre_Solve: 0 # Set to 1 to disable presolve -Method: 5 # Solution method: dual simplex (0), primal simplex (1), sprint (2), barrier with crossover (3), barrier without crossover (4), automatic (5) - -#Clp-specific solver settings -DualObjectiveLimit: 1e308 # When using dual simplex (where the objective is monotonically changing), terminate when the objective exceeds this limit -MaximumIterations: 2147483647 # Terminate after performing this number of simplex iterations -LogLevel: 1 # Set to 1, 2, 3, or 4 for increasing output. Set to 0 to disable output -InfeasibleReturn: 0 # Set to 1 to return as soon as the problem is found to be infeasible (by default, an infeasibility proof is computed as well) -Scaling: 3 # 0 -off, 1 equilibrium, 2 geometric, 3 auto, 4 dynamic(later) -Perturbation: 100 # switch on perturbation (50), automatic (100), don't try perturbing (102) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml deleted file mode 100644 index 8d37873eef..0000000000 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/cplex_settings.yml +++ /dev/null @@ -1,10 +0,0 @@ -# CPLEX Solver Parameters -Feasib_Tol: 1.0e-05 # Constraint (primal) feasibility tolerances. -Optimal_Tol: 1e-5 # Dual feasibility tolerances. -Pre_Solve: 1 # Controls presolve level. -TimeLimit: 110000 # Limits total time solver. -MIPGap: 1e-3 # Relative (p.u. of optimal) mixed integer optimality tolerance for MIP problems (ignored otherwise). -Method: 2 # Algorithm used to solve continuous models (including MIP root relaxation). -BarConvTol: 1.0e-08 # Barrier convergence tolerance (determines when barrier terminates). -NumericFocus: 0 # Numerical precision emphasis. -SolutionType: 2 # Solution type for LP or QP. diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml index 57ae7e4482..b803719b7a 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml @@ -1,21 +1,106 @@ -OverwriteResults: 0 # Overwrite existing results in output folder or create a new one; 0 = create new folder; 1 = overwrite existing results -PrintModel: 0 # Write the model formulation as an output; 0 = active; 1 = not active -NetworkExpansion: 0 # Transmission network expansionl; 0 = not active; 1 = active systemwide -Trans_Loss_Segments: 1 # Number of segments used in piecewise linear approximation of transmission losses; 1 = linear, >2 = piecewise quadratic -Reserves: 0 # Regulation (primary) and operating (secondary) reserves; 0 = not active, 1 = active systemwide -EnergyShareRequirement: 0 # Minimum qualifying renewables penetration; 0 = not active; 1 = active systemwide -CapacityReserveMargin: 0 # Number of capacity reserve margin constraints; 0 = not active; 1 = active systemwide -CO2Cap: 2 # CO2 emissions cap; 0 = not active (no CO2 emission limit); 1 = mass-based emission limit constraint; 2 = demand + rate-based emission limit constraint; 3 = generation + rate-based emission limit constraint -StorageLosses: 1 # Energy Share Requirement and CO2 constraints account for energy lost; 0 = not active (DO NOT account for energy lost); 1 = active systemwide (DO account for energy lost) -MinCapReq: 0 # Activate minimum technology carveout constraints; 0 = not active; 1 = active -MaxCapReq: 0 # Activate maximum technology carveout constraints; 0 = not active; 1 = active -Solver: HiGHS # Available solvers: Gurobi, CPLEX, Clps -ParameterScale: 1 # Turn on parameter scaling wherein demand, capacity and power variables are defined in GW rather than MW. 0 = not active; 1 = active systemwide -WriteShadowPrices: 1 # Write shadow prices of LP or relaxed MILP; 0 = not active; 1 = active -UCommit: 2 # Unit committment of thermal power plants; 0 = not active; 1 = active using integer clestering; 2 = active using linearized clustering -TimeDomainReductionFolder: "TDR_Results" # Directory name where results from time domain reduction will be saved. If results already exist here, these will be used without running time domain reduction script again. -TimeDomainReduction: 1 # Time domain reduce (i.e. cluster) inputs based on Demand_data.csv, Generators_variability.csv, and Fuels_data.csv; 0 = not active (use input data as provided); 0 = active (cluster input data, or use data that has already been clustered) -ModelingToGenerateAlternatives: 0 # Modeling to generate alternatives; 0 = not active; 1 = active. Note: produces a single solution as output -ModelingtoGenerateAlternativeSlack: 0.1 # Slack value as a fraction of least-cost objective in budget constraint used for evaluating alternative model solutions; positive float value -ModelingToGenerateAlternativeIterations: 3 # Number of MGA iterations with maximization and minimization objective -MethodofMorris: 0 #Flag for turning on the Method of Morris analysis +## Model settings +# -------------- + +# Number of segments used in piecewise linear approximation of transmission losses; +# 1 = linear +# >2 = piecewise quadratic +Trans_Loss_Segments: 1 + +# Unit committment of thermal power plants; +# 0 = not active +# 1 = active using integer clustering +# 2 = active using linearized clustering +UCommit: 2 + +## Policy settings +# --------------- + +# Regulation (primary) and operating (secondary) reserves +# 0 = not active +# 1 = active systemwide +# Reserves: 0 + +# Minimum qualifying renewables penetration +# 0 = not active +# 1 = active systemwide +# EnergyShareRequirement: 0 + +# Number of capacity reserve margin constraints +# 0 = not active +# 1 = active systemwide +# CapacityReserveMargin: 0 + +# CO2 emissions cap +# 0 = not active (no CO2 emission limit) +# 1 = mass-based emission limit constraint +# 2 = demand + rate-based emission limit constraint +# 3 = generation + rate-based emission limit constraint +CO2Cap: 1 + +# Let lost energy be accounted for in Energy Share Requirement and CO2 constraints +# 0 = not active (DO NOT account for energy lost); +# 1 = active systemwide (DO account for energy lost) +# StorageLosses: 0 + +# Activate minimum technology carveout constraints +# 0 = not active +# 1 = active +# MinCapReq: 0 + +# Activate maximum technology limits +# 0 = not active +# 1 = active +# MaxCapReq: 0 +# +# Transmission network expansion +# 0 = not active +# 1 = active systemwide +# NetworkExpansion: 1 + +# Hydrogen electrolyzer hourly supply matching required? +# 0 = constraint ot active +# 1 = constraint active for all electrolyzer resources +#HydrogenHourlyMatching: 0 + +# Hydrogen demand included in Energy Share Requirements? +# 0 = no +# 1 = yes +#HydrogenHourlyMatching: 1 + +## Solver settings +# ---------------- + +# Available solvers: Gurobi, CPLEX, Clps +#Solver: HiGHS + +# Internally scale demand, capacity and power variables in GW rather than MW. +# 0 = not active +# 1 = active systemwide +ParameterScale: 1 + +# Time domain reduce (i.e. cluster) inputs based on demand, resource availability profiles, and fuel prices; +# 0 = not active (use input data as provided) +# 1 = active (cluster input data, or use data that has already been clustered) +#TimeDomainReduction: 0 + +# Directory where results from time domain reduction will be saved. +# If results already exist, these will be used without running time domain reduction script again. +#TimeDomainReductionFolder: "TDR_Results" + +## Output settings +# ---------------- + +# Write shadow prices of LP or relaxed MILP +# 0 = not active +# 1 = active +WriteShadowPrices: 1 + +# Overwrite existing results in output folder or create a new one; +# 0 = create new folder +# 1 = overwrite existing results +# OverwriteResults: 0 + +# Write the model formulation as an output; +# 0 = active +# 1 = not active +# PrintModel: 0 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml deleted file mode 100644 index 2779d54826..0000000000 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/scip_settings.yml +++ /dev/null @@ -1,5 +0,0 @@ -# SCIP Solver Parameters - -#SCIP-specific solver settings -Dispverblevel: 0 -limitsgap: 0.05 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml deleted file mode 100644 index 537b80d797..0000000000 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/time_domain_reduction_settings.yml +++ /dev/null @@ -1,151 +0,0 @@ -##### -# -# TIME DOMAIN REDUCTION SETTINGS -# -# Set parameters here that organize how your full timeseries -# data will be divided into representative period clusters. -# Ensure that time_domain_reduction is set to 1 in GenX_settings.yml -# before running. Run within GenX or use PreCluster.jl to test and -# examine representative period output before proceeding. -# Specify your data input directory as inpath within Run_test.jl -# or PreCluster.jl. -# -##### - - # - TimestepsPerRepPeriod - # Typically 168 timesteps (e.g., hours) per period, this designates - # the length of each representative period. -TimestepsPerRepPeriod: 168 - - # - ClusterMethod - # Either 'kmeans' or 'kmedoids', this designates the method used to cluster - # periods and determine each point's representative period. -ClusterMethod: 'kmeans' - - # - ScalingMethod - # Either 'N' or 'S', this designates directs the module to normalize ([0,1]) - # or standardize (mean 0, variance 1) the input data. -ScalingMethod: "S" - - # - MaxPeriods - # The maximum number of periods - both clustered periods and extreme periods - - # that may be used to represent the input data. If IterativelyAddPeriods is on and the - # error threshold is never met, this will be the total number of periods. -MaxPeriods: 11 - - # - MinPeriods - # The minimum number of periods used to represent the input data. If using - # UseExtremePeriods, this must be at least the number of extreme periods requests. If - # IterativelyAddPeriods if off, this will be the total number of periods. -MinPeriods: 8 - - # - IterativelyAddPeriods - # Either 'yes' or 'no', this designates whether or not to add periods - # until the error threshold between input data and represented data is met or the maximum - # number of periods is reached. -IterativelyAddPeriods: 1 - - # - IterateMethod - # Either 'cluster' or 'extreme', this designates whether to add clusters to - # the kmeans/kmedoids method or to set aside the worst-fitting periods as a new extreme periods. - # The default option is 'cluster'. -IterateMethod: "cluster" - - # - Threshold - # Iterative period addition will end if the period farthest (Euclidean Distance) - # from its representative period is within this percentage of the total possible error (for normalization) - # or ~95% of the total possible error (for standardization). E.g., for a threshold of 0.01, - # every period must be within 1% of the spread of possible error before the clustering - # iterations will terminate (or until the max number of periods is reached). -Threshold: 0.05 - - # - nReps - # The number of times to repeat each kmeans/kmedoids clustering at the same setting. -nReps: 100 - - # - DemandWeight - # Default 1, this is an optional multiplier on demand columns in order to prioritize - # better fits for demand profiles over resource capacity factor profiles. -DemandWeight: 1 - - # - WeightTotal - # Default 8760, the sum to which the relative weights of representative periods will be scaled. -WeightTotal: 8760 - - # - ClusterFuelPrices - # Either 1 (yes) or 0 (no), this indicates whether or not to use the fuel price - # time series in Fuels_data.csv in the clustering process. If 0, this function will still write - # Fuels_data_clustered.csv with reshaped fuel prices based on the number and size of the - # representative weeks, assuming a constant time series of fuel prices with length equal to the - # number of timesteps in the raw input data. -ClusterFuelPrices: 1 - - # - UseExtremePeriods - # Either 'yes' or 'no', this designates whether or not to include - # outliers (by performance or demand/resource extreme) as their own representative periods. - # This setting automatically includes the periods with maximum demand, minimum solar cf and - # minimum wind cf as extreme periods. -UseExtremePeriods: 1 - - # - MultiStageConcatenate - # (Only considered if MultiStage = 1 in genx_settings.yml) - # If 1, this designates that the model should time domain reduce the input data - # of all model stages together. Else if 0, the model will time domain reduce each - # stage separately -MultiStageConcatenate: 0 - -# STILL IN DEVELOPMENT - Currently just uses integral max demand, integral min PV and wind. -# - ExtremePeriods -# Use this to define which periods to be included among the final representative periods -# as "Extreme Periods". -# Select by profile type: demand ("Demand"), solar PV capacity factors ("PV"), and wind capacity factors ("Wind"). -# Select whether to examine these profiles by zone ("Zone") or across the whole system ("System"). -# Select whether to look for absolute max/min at the timestep level ("Absolute") -# or max/min sum across the period ("Integral"). -# Select whether you want the maximum ("Max") or minimum ("Min") (of the prior type) for each profile type. -ExtremePeriods: - Demand: - Zone: - Absolute: - Max: 0 - Min: 0 - Integral: - Max: 0 - Min: 0 - System: - Absolute: - Max: 1 - Min: 0 - Integral: - Max: 0 - Min: 0 - PV: - Zone: - Absolute: - Max: 0 - Min: 0 - Integral: - Max: 0 - Min: 1 - System: - Absolute: - Max: 0 - Min: 0 - Integral: - Max: 0 - Min: 0 - Wind: - Zone: - Absolute: - Max: 0 - Min: 0 - Integral: - Max: 0 - Min: 1 - System: - Absolute: - Max: 0 - Min: 0 - Integral: - Max: 0 - Min: 0 diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index f097441d65..6a8c049137 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -120,15 +120,17 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) # Only apply piecewise fuel consumption to thermal generators in THERM_COMMIT_PWFU set THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] # segemnt for piecewise fuel usage - segs = 1:inputs["PWFU_Max_Num_Segments"] - slope_cols = inputs["slope_cols"] - intercept_cols = inputs["intercept_cols"] - segment_intercept(y, seg) = dfGen[y, intercept_cols[seg]] - segment_slope(y, seg) = dfGen[y, slope_cols[seg]] - # constraint for piecewise fuel consumption - @constraint(EP, PiecewiseFuelUsage[y in THERM_COMMIT_PWFU, t = 1:T, seg in segs], - EP[:vFuel][y, t] >= (EP[:vP][y, t] * segment_slope(y, seg) + - EP[:vCOMMIT][y, t] * segment_intercept(y, seg))) + if !isempty(THERM_COMMIT_PWFU) + segs = 1:inputs["PWFU_Max_Num_Segments"] + slope_cols = inputs["slope_cols"] + intercept_cols = inputs["intercept_cols"] + segment_intercept(y, seg) = dfGen[y, intercept_cols[seg]] + segment_slope(y, seg) = dfGen[y, slope_cols[seg]] + # constraint for piecewise fuel consumption + @constraint(EP, PiecewiseFuelUsage[y in THERM_COMMIT_PWFU, t = 1:T, seg in segs], + EP[:vFuel][y, t] >= (EP[:vP][y, t] * segment_slope(y, seg) + + EP[:vCOMMIT][y, t] * segment_intercept(y, seg))) + end # constraint for fuel consumption at a constant heat rate @constraint(EP, FuelCalculationCommit[y in setdiff(THERM_COMMIT,THERM_COMMIT_PWFU), t = 1:T], EP[:vFuel][y, t] - EP[:vP][y, t] * dfGen[y, :Heat_Rate_MMBTU_per_MWh] == 0) From 43ec58d53a2e5913e5f28bdc109acd116553a8dc Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 5 Sep 2023 18:14:38 -0400 Subject: [PATCH 21/33] revise based on Gabe's comments v5 revise the description for biomass. some minor revision on comments for better clarity. --- Example_Systems/PiecewiseFuel_CO2_Example/README.md | 4 +++- src/load_inputs/load_generators_data.jl | 4 ++-- src/model/core/co2.jl | 11 +++++------ src/model/core/fuel.jl | 6 +++--- 4 files changed, 13 insertions(+), 12 deletions(-) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/README.md b/Example_Systems/PiecewiseFuel_CO2_Example/README.md index b5e355b40c..b19e0b5ca3 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/README.md +++ b/Example_Systems/PiecewiseFuel_CO2_Example/README.md @@ -1,6 +1,8 @@ # PiecewiseFuel_CO2 -**PiecewiseFuel_CO2** is set of a simplified versions. It is condensed for easy and quick testing of CO2 and piecewise fuel usage related functions of the GenX. **PiecewiseFuel_CO2** is a 24 hr example containing only one zone. The model includes only natural gas ccs, wind, and biomass with ccs, all with fixed initial capacity. +**PiecewiseFuel_CO2** is a 24 hr example and contains only one zone. It is condensed for easy and quick testing of CO2, biomass, and piecewise fuel usage related functions of the GenX. This testing +system only includes natural gas ccs, wind, and biomass with ccs, all set at a fixed initial +capacity, and does not allow for building additional capacity." To run the model, first navigate to the example directory at `GenX/Example_Systems/PiecewiseFuel_CO2`: diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index fa39a363dc..11c3609f5e 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -508,7 +508,7 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) slope_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Slope") intercept_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Intercept") if size(slope_mat)[2] != size(intercept_mat)[2] - @error """ The number of slope and intercept used for piecewise fuel consumption must be equal + @error """ The number of slope and intercept columns used for piecewise fuel consumption must be equal """ end @@ -518,7 +518,7 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) """ end - # create OR matrix that identify nonzero slope and intercept + # identify nonzero slope and intercept for each generator, and the "or" matrix will return a set of generators that contain slope/intercept for at least one segment slope_check_zero = slope_mat .!= 0 intercept_check_zero = intercept_mat .!=0 slope_or_intercept = slope_check_zero .| intercept_check_zero diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 0662caad3f..1a08d1f0a6 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -7,12 +7,11 @@ from bioenergy with carbon capture and storage. ***** Expressions ***** -For thermal generators which combust fuels (e.g., coal, natural gas, and biomass), -the net CO2 emission to the environment is a function of fuel consumption, CO2 capture fraction, -and whether the feedstock is biomass. Here we do not account for the biogenic CO2 from biomass -(e.g., from wastes or agriculture residues) because the carbon in the biomass originates from -the atmosphere. When bioenergy is coupled with carbon capture and storage (CCS), it yields -negative emissions. +For thermal generators which combust fuels (e.g., coal, natural gas, and biomass), the net CO2 +emission to the environment is a function of fuel consumption, CO2 emission factor, CO2 capture +fraction, and whether the feedstock is biomass. Biomass is a factor in this equation because +biomass generators are assumed to generate zero net CO2 emissions, or negative net CO2 emissions +in the case that the CO2 they emit is captured and sequestered underground. If a user wishes to represent a generator that combusts biomass, then in Generators_data.csv, the "Biomass" column (boolean, 1 or 0), which represents if a generator $y$ uses biomass or not, should be set to 1. diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 6a8c049137..6130158bff 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -10,8 +10,8 @@ a function of load via a piecewise-linear approximation. Users have two options to model the fuel consumption as a function of power generation: (1). Use a constant heat rate, regardless of the minimum load or maximum load; and (2). Use the PiecewiseFuelUsage-related parameters to model the fuel consumption via a -piecewise-linear approximation. By using this option, users can represent the fact that most -generators have a decreasing heat rate as a function of load. +piecewise-linear approximation of the heat rate curves. By using this option, users can represent +the fact that most generators have a decreasing heat rate as a function of load. (1). Constant heat rate. The fuel consumption for power generation $vFuel_{y,t}$ is determined by power generation @@ -41,7 +41,7 @@ When the power output is zero, the commitment variable $U_{g,t}$ will bring the to be zero such that the fuel consumption is zero when thermal units are offline. In order to run piecewise fuel consumption module, -the unit commitment must be turned on, and users should provide PWFU_Slope_* and +the unit commitment must be turned on (UC = 1 or 2), and users should provide PWFU_Slope_* and PWFU_Intercept_* for at least one segment. """ From 295fa7be5b3ad6ad67fa912de2ceee1c39391382 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 5 Sep 2023 19:15:06 -0400 Subject: [PATCH 22/33] Update CHANGELOG.md --- CHANGELOG.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index 90cdf5dbef..2ac9e18e7b 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -8,6 +8,11 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ## Unreleased ### Added +- Feature CO2 and fuel module (#536) + Adds a fuel module which enables modeling of fuel usage via (1) a constant heat rate and (2) + piecewise-linear approximation of heat rate curves. Adds a CO2 module that determines the + CO2 emissions based on fuel consumption, CO2 capture fraction, and whether the feedstock is + biomass. - Feature electrolysis basic (#525) Adds hydrogen electrolyzer model which enables the addition of hydrogen electrolyzer demands along with optional clean supply constraints. From bc4f2a9113ef328877bc0ba47808c9a095096785 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 6 Sep 2023 10:04:22 -0400 Subject: [PATCH 23/33] revise v6 --- CHANGELOG.md | 6 +++--- .../PiecewiseFuel_CO2_Example/Generators_data.csv | 2 +- Example_Systems/PiecewiseFuel_CO2_Example/README.md | 2 +- .../Settings/genx_settings.yml | 5 ----- src/load_inputs/load_generators_data.jl | 11 +++++++---- 5 files changed, 12 insertions(+), 14 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 2ac9e18e7b..4159ae7dfb 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -10,9 +10,9 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ### Added - Feature CO2 and fuel module (#536) Adds a fuel module which enables modeling of fuel usage via (1) a constant heat rate and (2) - piecewise-linear approximation of heat rate curves. Adds a CO2 module that determines the - CO2 emissions based on fuel consumption, CO2 capture fraction, and whether the feedstock is - biomass. + piecewise-linear approximation of heat rate curves. + Adds a CO2 module that determines the CO2 emissions based on fuel consumption, CO2 capture + fraction, and whether the feedstock is biomass. - Feature electrolysis basic (#525) Adds hydrogen electrolyzer model which enables the addition of hydrogen electrolyzer demands along with optional clean supply constraints. diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv index 584706ee78..25bc28354e 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv @@ -1,4 +1,4 @@ Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Min_Cap_MWh,Min_Charge_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Self_Disch,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0 -natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,5,0,8,NG,250,91,2,6,6,0.64,0.64,0.468,0,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,6,400,7.2,200,0.9,0.6,20,0 +natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,5,0,0,NG,250,91,2,6,6,0.64,0.64,0.468,0,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,6,400,7.2,200,0.9,0.6,20,0 biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,0,1,1,biomass_ccs,NE,1,0,0,0,0,0.9,0.6,20,1 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/README.md b/Example_Systems/PiecewiseFuel_CO2_Example/README.md index b19e0b5ca3..159dfddf8a 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/README.md +++ b/Example_Systems/PiecewiseFuel_CO2_Example/README.md @@ -8,7 +8,7 @@ To run the model, first navigate to the example directory at `GenX/Example_Syste `cd("Example_Systems/PiecewiseFuel_CO2")` -Next, ensure that your settings in `GenX_settings.yml` are correct. The default settings use the solver HiGHS (`Solver: HiGHS`). Other optional policies include minimum capacity requirements, a capacity reserve margin, and more. A mass-based carbon cap of 0 t CO2 (net-zero) is specified in the `CO2_cap.csv` input file. +Next, ensure that your settings in `GenX_settings.yml` are correct. The default settings use the solver HiGHS (`Solver: HiGHS`). A mass-based carbon cap of 0 t CO2 (net-zero) is specified in the `CO2_cap.csv` input file. Once the settings are confirmed, run the model with the `Run.jl` script in the example directory: diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml index b803719b7a..53646d1cd3 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Settings/genx_settings.yml @@ -62,11 +62,6 @@ CO2Cap: 1 # 1 = constraint active for all electrolyzer resources #HydrogenHourlyMatching: 0 -# Hydrogen demand included in Energy Share Requirements? -# 0 = no -# 1 = yes -#HydrogenHourlyMatching: 1 - ## Solver settings # ---------------- diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 11c3609f5e..799acd9542 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -508,14 +508,17 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) slope_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Slope") intercept_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Intercept") if size(slope_mat)[2] != size(intercept_mat)[2] - @error """ The number of slope and intercept columns used for piecewise fuel consumption must be equal + @error """ The number of slope and intercept columns used for piecewise fuel consumption must be equal, we found $(size(slope_mat)[2]) of slope, + and $(size(intercept_mat)[2]) of intercept """ + error("Invalid inputs detected for piecewise fuel usage") end # check if values for piecewise fuel consumption make sense. Negative slopes are not allowed as they will make the model non-convex if any(slope_mat .< 0) @error """ Slope used for piecewise fuel consumption cannot be negative """ + error("Invalid inputs detected for piecewise fuel usage") end # identify nonzero slope and intercept for each generator, and the "or" matrix will return a set of generators that contain slope/intercept for at least one segment @@ -524,9 +527,9 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) slope_or_intercept = slope_check_zero .| intercept_check_zero # determine if a generator contains piecewise fuel usage segment - gen_in.PWFU_NUM_SEGMENTS .= any(slope_or_intercept .!=0, dims = 2) + gen_in.HAS_PWFU = any(slope_or_intercept, dims = 2)[:] # the maximum segment is equal to the maximum number of PWFU_Slope_* and PWFU_Intercept_* that user provide. - max_segments = maximum(size(slope_or_intercept)[2]) + max_segments = size(slope_or_intercept)[2] # create col names slope_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Slope"),names(gen_in))) intercept_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Intercept"),names(gen_in))) @@ -537,6 +540,6 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) inputs["slope_cols"] = slope_cols inputs["intercept_cols"] = intercept_cols inputs["PWFU_Max_Num_Segments"] =max_segments - inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.PWFU_NUM_SEGMENTS .> 0,:R_ID]) + inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.HAS_PWFU .> 0,:R_ID]) end end From 2967e521a106691213e9d9c5a6d22255c0835a5c Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 6 Sep 2023 10:41:01 -0400 Subject: [PATCH 24/33] fixed a issue in write_net_revenue and simplify generator_data.csv --- .../PiecewiseFuel_CO2_Example/Generators_data.csv | 8 ++++---- src/write_outputs/write_net_revenue.jl | 7 ++++--- 2 files changed, 8 insertions(+), 7 deletions(-) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv index 25bc28354e..8a625e5fd0 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv @@ -1,4 +1,4 @@ -Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Min_Cap_MWh,Min_Charge_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Self_Disch,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass -onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0 -natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,5,0,0,NG,250,91,2,6,6,0.64,0.64,0.468,0,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,6,400,7.2,200,0.9,0.6,20,0 -biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,0,1,1,biomass_ccs,NE,1,0,0,0,0,0.9,0.6,20,1 +Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass +onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0 +natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,5,0,0,NG,250,91,2,6,6,0.64,0.64,0.468,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,6,400,7.2,200,0.9,0.6,20,0 +biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,1,1,biomass_ccs,NE,1,0,0,0,0,0.9,0.6,20,1 diff --git a/src/write_outputs/write_net_revenue.jl b/src/write_outputs/write_net_revenue.jl index fa643fd663..fd1d473c45 100644 --- a/src/write_outputs/write_net_revenue.jl +++ b/src/write_outputs/write_net_revenue.jl @@ -77,7 +77,7 @@ function write_net_revenue(path::AbstractString, inputs::Dict, setup::Dict, EP:: end # Add fuel cost to the dataframe - dfNetRevenue.Fuel_cost .= sum(value.(EP[:ePlantCFuelOut]), dims = 2) + dfNetRevenue.Fuel_cost = sum(value.(EP[:ePlantCFuelOut]), dims = 2) if setup["ParameterScale"] == 1 dfNetRevenue.Fuel_cost *= ModelScalingFactor^2 # converting Million US$ to US$ end @@ -102,8 +102,9 @@ function write_net_revenue(path::AbstractString, inputs::Dict, setup::Dict, EP:: # Add start-up cost to the dataframe dfNetRevenue.StartCost = zeros(nrow(dfNetRevenue)) if setup["UCommit"]>=1 && !isempty(COMMIT) - # if you don't use vec, dimension won't match - dfNetRevenue.StartCost[COMMIT] .= vec(sum(value.(EP[:eCStart][COMMIT, :]).data, dims = 2)) + value.(EP[:ePlantCFuelStart][COMMIT,:]) + start_costs = vec(sum(value.(EP[:eCStart][COMMIT, :]).data, dims = 2)) + start_fuel_costs = vec(value.(EP[:ePlantCFuelStart][COMMIT])) + dfNetRevenue.StartCost[COMMIT] .= start_costs + start_fuel_costs end if setup["ParameterScale"] == 1 dfNetRevenue.StartCost *= ModelScalingFactor^2 # converting Million US$ to US$ From 6dd05bbf194a796063219675348ca449883fda8f Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 6 Sep 2023 14:03:36 -0400 Subject: [PATCH 25/33] add comments to remind users that slope and intercept should be consistent with cap_size --- docs/src/data_documentation.md | 2 +- src/model/core/fuel.jl | 6 ++++++ 2 files changed, 7 insertions(+), 1 deletion(-) diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index aa0e7f4f75..6db3c67b00 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -386,7 +386,7 @@ This file contains cost and performance parameters for various generators and ot |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU_Slope and PWFU_Intercept**| |PWFU\_Slope\_*i| The slope (MMBTU/MWh) of segment i for the piecewise-linear fuel usage approximation| -|PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation| +|PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation. The slope and intercept parameters must be consistent Cap_Size of the plant.| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| |Hydrogen_MWh_Per_Tonne| Electrolyzer efficiency in megawatt-hours (MWh) of electricity per metric tonne of hydrogen produced (MWh/t)| |Electrolyzer_Min_kt| Minimum annual quantity of hydrogen that must be produced by electrolyzer in kilotonnes (kt)| diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 6130158bff..01e1f4b2b3 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -34,6 +34,12 @@ Where $h_{y,x}$ represents the heat rate slope for generator $y$ in segment $x$ $f_{y,x}$ represents the heat rate intercept (MMBTU) for a generator $y$ in segment $x$ [MMBTU], and $U_{y,t}$ represents the commitment status of a generator $y$ at time $t$. These parameters are optional inputs to "Generators_data.csv". +When a user provides slope and intercept, the standard heat rate (i.e., Heat_Rate_MMBTU_per_MWh) +will not be used. +The user should determine the slope and intercept parameters based on the Cap_Size of the plant. +For example, when a plant is operating at the full load (i.e., power output equal to the Cap_Size), +the fuel usage determined by the effective segment divided by Cap_Size should be equal to the +heat rate at full-load. Since fuel consumption and fuel costs are postive, the optimization will force the fuel usage to be equal to the highest fuel usage segment for any given value of vP. From 36a8a5159ff312589b2e6dc10579001c6796fd9c Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 6 Sep 2023 16:07:57 -0400 Subject: [PATCH 26/33] Update data_documentation.md --- docs/src/data_documentation.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index 6db3c67b00..efcc9ceff6 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -386,7 +386,7 @@ This file contains cost and performance parameters for various generators and ot |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU_Slope and PWFU_Intercept**| |PWFU\_Slope\_*i| The slope (MMBTU/MWh) of segment i for the piecewise-linear fuel usage approximation| -|PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation. The slope and intercept parameters must be consistent Cap_Size of the plant.| +|PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation. The slope and intercept parameters must be consistent with the Cap_Size of the plant.| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| |Hydrogen_MWh_Per_Tonne| Electrolyzer efficiency in megawatt-hours (MWh) of electricity per metric tonne of hydrogen produced (MWh/t)| |Electrolyzer_Min_kt| Minimum annual quantity of hydrogen that must be produced by electrolyzer in kilotonnes (kt)| From b0547b8e0ba8fafcfdafed6bab4ef82b6873aaa8 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Wed, 6 Sep 2023 17:28:48 -0400 Subject: [PATCH 27/33] Update load_generators_data.jl --- src/load_inputs/load_generators_data.jl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 799acd9542..c4700811a0 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -540,6 +540,6 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) inputs["slope_cols"] = slope_cols inputs["intercept_cols"] = intercept_cols inputs["PWFU_Max_Num_Segments"] =max_segments - inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.HAS_PWFU .> 0,:R_ID]) + inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.HAS_PWFU,:R_ID]) end end From fb10dc44589b4f1ee7793c8218a33f134e8e1bac Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Thu, 7 Sep 2023 13:46:22 -0400 Subject: [PATCH 28/33] Update write_costs.jl --- src/write_outputs/write_costs.jl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/write_outputs/write_costs.jl b/src/write_outputs/write_costs.jl index 20e1bd6821..d13d7903e4 100644 --- a/src/write_outputs/write_costs.jl +++ b/src/write_outputs/write_costs.jl @@ -77,7 +77,7 @@ function write_costs(path::AbstractString, inputs::Dict, setup::Dict, EP::Model) end if !isempty(VRE_STOR) - dfCost[!,2][8] = value(EP[:eTotalCGrid]) * (setup["ParameterScale"] == 1 ? ModelScalingFactor^2 : 1) + dfCost[!,2][11] = value(EP[:eTotalCGrid]) * (setup["ParameterScale"] == 1 ? ModelScalingFactor^2 : 1) end if any(dfGen.CO2_Capture_Fraction .!= 0) From bbe715a8498015a31ca72ca5fd614d12f97acd6e Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Thu, 7 Sep 2023 20:04:01 -0400 Subject: [PATCH 29/33] Update co2.jl remove code related to CO2 emissions/capture per zone & per year, which will only be used when CO2 tax/credit policies module are merged --- src/model/core/co2.jl | 18 +----------------- 1 file changed, 1 insertion(+), 17 deletions(-) diff --git a/src/model/core/co2.jl b/src/model/core/co2.jl index 1a08d1f0a6..3d4e14edf0 100644 --- a/src/model/core/co2.jl +++ b/src/model/core/co2.jl @@ -78,19 +78,9 @@ function co2!(EP::Model, inputs::Dict) dfGen[y, :CO2_Capture_Fraction] * EP[:vFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]+ dfGen[y, :CO2_Capture_Fraction_Startup] * EP[:eStartFuel][y, t] * fuel_CO2[dfGen[y,:Fuel]]) - - #************************************* @expression(EP, eEmissionsCaptureByPlantYear[y=1:G], sum(inputs["omega"][t] * eEmissionsCaptureByPlant[y, t] for t in 1:T)) - @expression(EP, eEmissionsCaptureByZone[z=1:Z, t=1:T], - sum(eEmissionsCaptureByPlant[y, t] - for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) - @expression(EP, eEmissionsCaptureByZoneYear[z=1:Z], - sum(eEmissionsCaptureByPlantYear[y] - for y in dfGen[dfGen[!, :Zone].==z, :R_ID])) - #************************************* - # add CO2 sequestration cost to objective function # when scale factor is on tCO2/MWh = > kt CO2/GWh @expression(EP, ePlantCCO2Sequestration[y=1:G], @@ -107,15 +97,9 @@ function co2!(EP::Model, inputs::Dict) add_to_expression!(EP[:eObj], EP[:eTotaleCCO2Sequestration]) end - @expression(EP, eEmissionsByPlantYear[y = 1:G], - sum(inputs["omega"][t] * eEmissionsByPlant[y, t] for t in 1:T)) - + # emissions by zone @expression(EP, eEmissionsByZone[z = 1:Z, t = 1:T], sum(eEmissionsByPlant[y, t] for y in dfGen[(dfGen[!, :Zone].==z), :R_ID])) - - @expression(EP, eEmissionsByZoneYear[z = 1:Z], - sum(inputs["omega"][t] * eEmissionsByZone[z, t] for t in 1:T)) - return EP end From dd2821b2f8a0502f13414259b07ec191780e37c3 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Tue, 12 Sep 2023 20:04:00 -0400 Subject: [PATCH 30/33] change input data for piecewise fuel usage, update documentation and include a figure --- .../Generators_data.csv | 8 +- .../PiecewiseFuelUsage_data_description.pptx | Bin 0 -> 44833 bytes .../PiecewiseFuel_CO2_Example/README.md | 4 +- docs/src/data_documentation.md | 7 +- src/load_inputs/load_generators_data.jl | 102 +++++++++++++----- src/model/core/fuel.jl | 12 ++- 6 files changed, 93 insertions(+), 40 deletions(-) create mode 100644 Example_Systems/PiecewiseFuel_CO2_Example/PiecewiseFuelUsage_data_description.pptx diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv index 8a625e5fd0..1a0a61bc22 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv @@ -1,4 +1,4 @@ -Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Slope_1,PWFU_Intercept_1,PWFU_Slope_2,PWFU_Intercept_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass -onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0 -natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,5,0,0,NG,250,91,2,6,6,0.64,0.64,0.468,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,6,400,7.2,200,0.9,0.6,20,0 -biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,1,1,biomass_ccs,NE,1,0,0,0,0,0.9,0.6,20,1 +Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Fuel_Usage_MMBTU_per_h,PWFU_Heat_Rate_MMBTU_per_MWh_1,PWFU_Heat_Rate_MMBTU_per_MWh_2,PWFU_Load_Point_MW_1,PWFU_Load_Point_MW_2,PWFU_Load_Point_MW_3,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass +onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0,0,0 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mfX#n>sU$b|O(Qe^&nu>$HVq(r1Azzue>%X!Z%xMLr+)(j#vyqC literal 0 HcmV?d00001 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/README.md b/Example_Systems/PiecewiseFuel_CO2_Example/README.md index 159dfddf8a..0eeec17c6e 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/README.md +++ b/Example_Systems/PiecewiseFuel_CO2_Example/README.md @@ -2,13 +2,13 @@ **PiecewiseFuel_CO2** is a 24 hr example and contains only one zone. It is condensed for easy and quick testing of CO2, biomass, and piecewise fuel usage related functions of the GenX. This testing system only includes natural gas ccs, wind, and biomass with ccs, all set at a fixed initial -capacity, and does not allow for building additional capacity." +capacity, and does not allow for building additional capacity. For natural gas ccs generator, we provide picewise fuel usage (PWFU) parameters to represent the fuel consumption at differernt load point. Please refer to "PiecewiseFuelUsage_data_description.pptx" for a sylized visual representation of PWFU segments and corresponding data requirements. When UC >= 1 and PWFU parameters are provided in "Generator_data.csv", the standard heat rate (i.e., Heat_Rate_MMBTU_per_MWh) will not be used unless UC = 0. To run the model, first navigate to the example directory at `GenX/Example_Systems/PiecewiseFuel_CO2`: `cd("Example_Systems/PiecewiseFuel_CO2")` -Next, ensure that your settings in `GenX_settings.yml` are correct. The default settings use the solver HiGHS (`Solver: HiGHS`). A mass-based carbon cap of 0 t CO2 (net-zero) is specified in the `CO2_cap.csv` input file. +Next, ensure that your settings in `GenX_settings.yml` are correct. The linear clustering unit commitment method (UC = 2) is used. The default settings use the solver HiGHS (`Solver: HiGHS`). A mass-based carbon cap of 0 t CO2 (net-zero) is specified in the `CO2_cap.csv` input file. Once the settings are confirmed, run the model with the `Run.jl` script in the example directory: diff --git a/docs/src/data_documentation.md b/docs/src/data_documentation.md index efcc9ceff6..27a002bd75 100644 --- a/docs/src/data_documentation.md +++ b/docs/src/data_documentation.md @@ -384,9 +384,10 @@ This file contains cost and performance parameters for various generators and ot |MinCapTag\_*| Eligibility of resources to participate in Minimum Technology Carveout constraint. \* corresponds to the ith row of the file `Minimum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| |**MaxCapReq = 1**| |MaxCapTag\_*| Eligibility of resources to participate in Maximum Technology Carveout constraint. \* corresponds to the ith row of the file `Maximum_capacity_requirement.csv`. Note that this eligibility must be 0 for co-located VRE-STOR resources (policy inputs are read from the specific VRE-STOR dataframe).| -|**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU_Slope and PWFU_Intercept**| -|PWFU\_Slope\_*i| The slope (MMBTU/MWh) of segment i for the piecewise-linear fuel usage approximation| -|PWFU\_Intercept\_*i| The intercept (MMBTU) of segment i for the piecewise-linear fuel usage approximation. The slope and intercept parameters must be consistent with the Cap_Size of the plant.| +|**PiecewiseFuelUsage-related parameters required if any resources have nonzero PWFU fuel usage, heat rates, and load points**| +|PWFU\_Fuel\_Usage\_MMBTU\_per\_h|The fuel usage (MMBTU/h) for the first PWFU segemnt (y-intercept).| +|PWFU\_Heat\_Rate\_MMBTU\_per\_MWh\_*i| The slope of fuel usage function of the segment i.| +|PWFU\_Load\_Point\_MW\_*i| The end of segment i (MW).| |**Electrolyzer related parameters required if the set ELECTROLYZER is not empty**| |Hydrogen_MWh_Per_Tonne| Electrolyzer efficiency in megawatt-hours (MWh) of electricity per metric tonne of hydrogen produced (MWh/t)| |Electrolyzer_Min_kt| Minimum annual quantity of hydrogen that must be produced by electrolyzer in kilotonnes (kt)| diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index c4700811a0..173bb6ef1a 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -501,45 +501,95 @@ end function process_piecewisefuelusage!(inputs::Dict, scale_factor) gen_in = inputs["dfGen"] - inputs["PWFU_Max_Num_Segments"] = 0 + inputs["PWFU_Num_Segments"] = 0 inputs["THERM_COMMIT_PWFU"] = Int64[] if any(occursin.(Ref("PWFU_"), names(gen_in))) - slope_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Slope") - intercept_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Intercept") - if size(slope_mat)[2] != size(intercept_mat)[2] - @error """ The number of slope and intercept columns used for piecewise fuel consumption must be equal, we found $(size(slope_mat)[2]) of slope, - and $(size(intercept_mat)[2]) of intercept + heat_rate_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Heat_Rate_MMBTU_per_MWh") + load_point_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Load_Point_MW") + + # it's possible to construct piecewise fuel consumption with n of heat rate and n-1 of load point. + # if a user feed n of heat rate and more than n of load point, throw a error message, and then use + # n of heat rate and n-1 load point to construct the piecewise fuel usage fuction + if size(heat_rate_mat)[2] < size(load_point_mat)[2] + @error """ The numbers of heatrate data are less than load points, we found $(size(heat_rate_mat)[2]) of heat rate, + and $(size(load_point_mat)[2]) of load points. We will just use the $(size(heat_rate_mat)[2]) of heat rate, and $(size(heat_rate_mat)[2]-1) + load points to create piecewise fuel usage + """ + end + + # check if values for piecewise fuel consumption make sense. Negative heat rate or load point are not allowed + if any(heat_rate_mat .< 0) .| any(load_point_mat .< 0) + @error """ Neither heat rate nor load point can be negative """ error("Invalid inputs detected for piecewise fuel usage") end - - # check if values for piecewise fuel consumption make sense. Negative slopes are not allowed as they will make the model non-convex - if any(slope_mat .< 0) - @error """ Slope used for piecewise fuel consumption cannot be negative + # for non-zero values, heat rates and load point should follow an increasing trend + if any([any(diff(filter(x->x!=0, row)) .< 0) for row in eachrow(heat_rate_mat)]) .| any([any(diff(filter(x->x!=0, row)) .< 0) for row in eachrow(load_point_mat)]) + @error """ Heat rates and load point should follow an increasing trend """ error("Invalid inputs detected for piecewise fuel usage") end - # identify nonzero slope and intercept for each generator, and the "or" matrix will return a set of generators that contain slope/intercept for at least one segment - slope_check_zero = slope_mat .!= 0 - intercept_check_zero = intercept_mat .!=0 - slope_or_intercept = slope_check_zero .| intercept_check_zero - - # determine if a generator contains piecewise fuel usage segment - gen_in.HAS_PWFU = any(slope_or_intercept, dims = 2)[:] - # the maximum segment is equal to the maximum number of PWFU_Slope_* and PWFU_Intercept_* that user provide. - max_segments = size(slope_or_intercept)[2] - # create col names - slope_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Slope"),names(gen_in))) - intercept_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Intercept"),names(gen_in))) - # no need to scale slope, but the intercept of fuel usage in each segment needs to be scaled (MMBTU -> Billion BTU). - for i in 1:max_segments - gen_in[!, intercept_cols[i]] /= scale_factor + # determine if a generator contains piecewise fuel usage segment based on non-zero heatrate + gen_in.HAS_PWFU = any(heat_rate_mat .!= 0 , dims = 2)[:] + num_segments = size(heat_rate_mat)[2] + + # translate the inital fuel usage, heat rate, and load points into intercept for each segment + fuel_usage = gen_in[!,"PWFU_Fuel_Usage_MMBTU_per_h"] + # construct a matrix for intercept + intercept_mat = zeros(size(heat_rate_mat)) + # PWFU_Fuel_Usage_MMBTU_per_h is always the intercept of the first segment + intercept_mat[:,1] = fuel_usage + + # create a function to compute intercept if we have more than one segment + function calculate_intercepts(slope, intercept_1, load_point) + m, n = size(slope) + # Initialize the intercepts matrix with zeros + intercepts = zeros(m, n) + # The first segment's intercepts should be intercept_1 vector + intercepts[:, 1] = intercept_1 + # Calculate intercepts for the other segments using the load points (i.e., intersection points) + for j in 1:n-1 + for i in 1:m + current_slope = slope[i, j+1] + previous_slope = slope[i, j] + # If the current slope is 0, then skip the calculation and return 0 + if current_slope == 0 + intercepts[i, j+1] = 0.0 + else + # y = a*x + b; => b = y - ax + # Calculate y-coordinate of the intersection + y = previous_slope * load_point[i, j] + intercepts[i, j] + # determine the new intercept + b = y - current_slope * load_point[i, j] + intercepts[i, j+1] = b + end + end + end + return intercepts end + + if num_segments > 1 + # determine the intercept for the rest of segment if num_segments > 1 + intercept_mat = calculate_intercepts(heat_rate_mat, fuel_usage, load_point_mat) + end + + # create a PWFU_data that contain processed intercept and slope (i.e., heat rate) + intercept_cols = [Symbol("PWFU_Intercept_", i) for i in 1:num_segments] + intercept_df = DataFrame(intercept_mat, Symbol.(intercept_cols)) + slope_cols = Symbol.(filter(colname -> startswith(string(colname),"PWFU_Heat_Rate_MMBTU_per_MWh"),names(gen_in))) + slope_df = DataFrame(heat_rate_mat, Symbol.(slope_cols)) + PWFU_data = hcat(slope_df, intercept_df) + # no need to scale sclope, but intercept should be scaled when parameterscale is on (MMBTU -> billion BTU) + for i in 1:num_segments + PWFU_data[!, intercept_cols[i]] /= scale_factor + end + inputs["slope_cols"] = slope_cols inputs["intercept_cols"] = intercept_cols - inputs["PWFU_Max_Num_Segments"] =max_segments + inputs["PWFU_data"] = PWFU_data + inputs["PWFU_Num_Segments"] =num_segments inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.HAS_PWFU,:R_ID]) end end diff --git a/src/model/core/fuel.jl b/src/model/core/fuel.jl index 01e1f4b2b3..edb424c260 100644 --- a/src/model/core/fuel.jl +++ b/src/model/core/fuel.jl @@ -34,8 +34,9 @@ Where $h_{y,x}$ represents the heat rate slope for generator $y$ in segment $x$ $f_{y,x}$ represents the heat rate intercept (MMBTU) for a generator $y$ in segment $x$ [MMBTU], and $U_{y,t}$ represents the commitment status of a generator $y$ at time $t$. These parameters are optional inputs to "Generators_data.csv". -When a user provides slope and intercept, the standard heat rate (i.e., Heat_Rate_MMBTU_per_MWh) -will not be used. +When Unit commitment is on, if a user provides slope and intercept, the standard heat rate +(i.e., Heat_Rate_MMBTU_per_MWh) will not be used. When unit commitment is off, the model will +always use the standard heat rate. The user should determine the slope and intercept parameters based on the Cap_Size of the plant. For example, when a plant is operating at the full load (i.e., power output equal to the Cap_Size), the fuel usage determined by the effective segment divided by Cap_Size should be equal to the @@ -127,11 +128,12 @@ function fuel!(EP::Model, inputs::Dict, setup::Dict) THERM_COMMIT_PWFU = inputs["THERM_COMMIT_PWFU"] # segemnt for piecewise fuel usage if !isempty(THERM_COMMIT_PWFU) - segs = 1:inputs["PWFU_Max_Num_Segments"] + segs = 1:inputs["PWFU_Num_Segments"] + PWFU_data = inputs["PWFU_data"] slope_cols = inputs["slope_cols"] intercept_cols = inputs["intercept_cols"] - segment_intercept(y, seg) = dfGen[y, intercept_cols[seg]] - segment_slope(y, seg) = dfGen[y, slope_cols[seg]] + segment_intercept(y, seg) = PWFU_data[y, intercept_cols[seg]] + segment_slope(y, seg) = PWFU_data[y, slope_cols[seg]] # constraint for piecewise fuel consumption @constraint(EP, PiecewiseFuelUsage[y in THERM_COMMIT_PWFU, t = 1:T, seg in segs], EP[:vFuel][y, t] >= (EP[:vP][y, t] * segment_slope(y, seg) + From 2831d4d9f5fa9b45a479eebebf9888bb6b15a6fe Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Thu, 14 Sep 2023 16:38:15 -0400 Subject: [PATCH 31/33] update input parameters and documentation --- .../Generators_data.csv | 8 +++---- .../PiecewiseFuelUsage_data_description.pptx | Bin 44833 -> 45181 bytes docs/src/data_documentation.md | 2 +- src/load_inputs/load_generators_data.jl | 22 +++++++++++------- 4 files changed, 18 insertions(+), 14 deletions(-) diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv index 1a0a61bc22..b0c67824f8 100644 --- a/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv +++ b/Example_Systems/PiecewiseFuel_CO2_Example/Generators_data.csv @@ -1,4 +1,4 @@ -Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Fuel_Usage_MMBTU_per_h,PWFU_Heat_Rate_MMBTU_per_MWh_1,PWFU_Heat_Rate_MMBTU_per_MWh_2,PWFU_Load_Point_MW_1,PWFU_Load_Point_MW_2,PWFU_Load_Point_MW_3,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass -onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0,0,0 -natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,5,0,0,NG,250,91,2,6,6,0.64,0.64,0.468,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,400,6,7.2,160,250,250,0.9,0.6,20,0 -biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,1,1,biomass_ccs,NE,1,0,0,0,0,0,0,0.9,0.6,20,1 +Resource,Zone,THERM,MUST_RUN,STOR,FLEX,HYDRO,VRE,LDS,Num_VRE_Bins,New_Build,Existing_Cap_MW,Existing_Cap_MWh,Existing_Charge_Cap_MW,Max_Cap_MW,Max_Cap_MWh,Max_Charge_Cap_MW,Min_Cap_MW,Inv_Cost_per_MWyr,Inv_Cost_per_MWhyr,Inv_Cost_Charge_per_MWyr,Fixed_OM_Cost_per_MWyr,Fixed_OM_Cost_per_MWhyr,Fixed_OM_Cost_Charge_per_MWyr,Var_OM_Cost_per_MWh,Var_OM_Cost_per_MWh_In,Heat_Rate_MMBTU_per_MWh,Fuel,Cap_Size,Start_Cost_per_MW,Start_Fuel_MMBTU_per_MW,Up_Time,Down_Time,Ramp_Up_Percentage,Ramp_Dn_Percentage,Min_Power,Eff_Up,Eff_Down,Resource_Type,region,cluster,PWFU_Fuel_Usage_Zero_Load_MMBTU_per_h,PWFU_Heat_Rate_MMBTU_per_MWh_1,PWFU_Heat_Rate_MMBTU_per_MWh_2,PWFU_Load_Point_MW_1,PWFU_Load_Point_MW_2,CO2_Capture_Fraction,CO2_Capture_Fraction_Startup,CCS_Disposal_Cost_per_Metric_Ton,Biomass +onshore_wind,1,0,0,0,0,0,1,0,1,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,None,100,0,0,0,0,1,1,0,1,1,onshore_wind_turbine,NE,1,0,0,0,0,0,0,0,0,0 +natural_gas_combined_cycle_ccs,1,1,0,0,0,0,0,0,0,0,15000,0,0,-1,-1,-1,0,0,0,0,0,0,0,5,0,0,NG,250,91,2,6,6,0.64,0.64,0.468,1,1,natural_gas_fired_combined_cycle_ccs,NE,1,400,6,7.2,160,250,0.9,0.6,20,0 +biomass_ccs,1,1,0,0,0,0,0,0,0,0,300,0,0,-1,-1,-1,0,0,0,0,0,0,0,10,0,10,Biomass,300,91,2,6,6,0.64,0.64,0.468,1,1,biomass_ccs,NE,1,0,0,0,0,0,0.9,0.6,20,1 diff --git a/Example_Systems/PiecewiseFuel_CO2_Example/PiecewiseFuelUsage_data_description.pptx b/Example_Systems/PiecewiseFuel_CO2_Example/PiecewiseFuelUsage_data_description.pptx index 046a059262f5617bc777be7b1362232f4317d3b1..76b8a24af7d89a53b51b591c2170bb5dfbe8e47f 100644 GIT binary patch delta 20719 zcmZs?bxOiu7Tk05Zv9}39i8{xCdDzxVuAehu|*39fG^NyYp~)zgJiHtGfGR zW_NaWYNlsfKHWW=w*mRS1^Ig)0Wlr6d;Ss?1bTK&yhI=ZbR1S?n*6$Z-qC*M{2->U z_GKN!``zNo9j5^2&IWN2DJq}D_>rGu9``Y za#Z<`x5az&17D>v8_hjwiW|h(4h|BWL>)grj+ZMTsULe9ZVAc>mBX_Ie-|6@-%sy9 zz*EA9p&DG*z}86zpF)fjj+>yc08i;4&at^#C;fpn>QJ$ySNhylqkwQ)(g;q=skyrd 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zMk1U~ikEfbgT(qoK9?S|T$=K`dWwVP!ele|(3jv9`p*@Sz-7xrr7YtaT|G|9Xem}A z{&w$Y_tLiS*hgUW%87Cfu)TY%963>rCZ?&^DOepF=;T7qp%J%^r6KiJwGf;aoaRxJ~5KnHn zASG+}SEYXZKK)gPM8@>$=ewEk^yR+8K1P!)5GrpG2GUCE5$u7qPTO$aV6}_3D`})dk-zc6CnFP>bCPo|EcG!|qQ5%neHfMMuBot8=W^)^wC+Tkx>!KAP5 zoy6P~O7s-w?h_xI?Ab-1`BcZWIlH^{{$Zc3gAG3)MXs?xAOI@k!~cG{i;;02ss^0M zR211sT!S0t0q~LiecclRT!h5|jRK^|R+5>Q0|HS}g+Ro9E5OzrVPH5D{A3Uqc7%Y2 z;FEj)6i_7q1?7E!Nfy7zR(8k?40D(w{uH4OZHp2?(N>W z%}M9*vu-)b0o@!FOx9qV^98vrTQm>_a)M{Jxi=uUWrha6f?SW;Hm6;<3lPdhvTj*@ z0l8chEW~n~FUIZyJaP}iY%c>(axcPOT7&Ff0O8CF@Z~APUgLHk9)#^SJFpdmA8dD^ zc)l{M&u$0uIBh*FW^l!M|Dhcu zLm=MX#G}6M&VGP>kswfABm}#k0DLTx+x!=0, row)) .< 0) for row in eachrow(heat_rate_mat)]) .| any([any(diff(filter(x->x!=0, row)) .< 0) for row in eachrow(load_point_mat)]) - @error """ Heat rates and load point should follow an increasing trend + # for non-zero values, heat rates and load points should follow an increasing trend + if any([any(diff(filter(!=(0), row)) .< 0) for row in eachrow(heat_rate_mat)]) + @error """ Heat rates should follow an increasing trend + """ + error("Invalid inputs detected for piecewise fuel usage") + elseif any([any(diff(filter(!=(0), row)) .< 0) for row in eachrow(load_point_mat)]) + @error """load points should follow an increasing trend """ error("Invalid inputs detected for piecewise fuel usage") end @@ -536,11 +540,11 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) num_segments = size(heat_rate_mat)[2] # translate the inital fuel usage, heat rate, and load points into intercept for each segment - fuel_usage = gen_in[!,"PWFU_Fuel_Usage_MMBTU_per_h"] + fuel_usage_zero_load = gen_in[!,"PWFU_Fuel_Usage_Zero_Load_MMBTU_per_h"] # construct a matrix for intercept intercept_mat = zeros(size(heat_rate_mat)) # PWFU_Fuel_Usage_MMBTU_per_h is always the intercept of the first segment - intercept_mat[:,1] = fuel_usage + intercept_mat[:,1] = fuel_usage_zero_load # create a function to compute intercept if we have more than one segment function calculate_intercepts(slope, intercept_1, load_point) @@ -572,7 +576,7 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) if num_segments > 1 # determine the intercept for the rest of segment if num_segments > 1 - intercept_mat = calculate_intercepts(heat_rate_mat, fuel_usage, load_point_mat) + intercept_mat = calculate_intercepts(heat_rate_mat, fuel_usage_zero_load, load_point_mat) end # create a PWFU_data that contain processed intercept and slope (i.e., heat rate) From 00a990e515fbe6255079932c5ba65d6c25f6da13 Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Fri, 15 Sep 2023 16:48:10 -0400 Subject: [PATCH 32/33] Update load_generators_data.jl --- src/load_inputs/load_generators_data.jl | 61 +++++++++++++------------ 1 file changed, 32 insertions(+), 29 deletions(-) diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 2e895cb48f..118df8d212 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -508,32 +508,8 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) heat_rate_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Heat_Rate_MMBTU_per_MWh") load_point_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Load_Point_MW") - # it's possible to construct piecewise fuel consumption with n of heat rate and n-1 of load point. - # if a user feed n of heat rate and more than n of load point, throw a error message, and then use - # n of heat rate and n-1 load point to construct the piecewise fuel usage fuction - if size(heat_rate_mat)[2] < size(load_point_mat)[2] - @error """ The numbers of heatrate data are less than load points, we found $(size(heat_rate_mat)[2]) of heat rate, - and $(size(load_point_mat)[2]) of load points. We will just use $(size(heat_rate_mat)[2]) of heat rate, and $(size(heat_rate_mat)[2]-1) - load point to create piecewise fuel usage - """ - end - - # check if values for piecewise fuel consumption make sense. Negative heat rate or load point are not allowed - if any(heat_rate_mat .< 0) | any(load_point_mat .< 0) - @error """ Neither heat rate nor load point can be negative - """ - error("Invalid inputs detected for piecewise fuel usage") - end - # for non-zero values, heat rates and load points should follow an increasing trend - if any([any(diff(filter(!=(0), row)) .< 0) for row in eachrow(heat_rate_mat)]) - @error """ Heat rates should follow an increasing trend - """ - error("Invalid inputs detected for piecewise fuel usage") - elseif any([any(diff(filter(!=(0), row)) .< 0) for row in eachrow(load_point_mat)]) - @error """load points should follow an increasing trend - """ - error("Invalid inputs detected for piecewise fuel usage") - end + # check data input + validate_piecewisefuelusage!(heat_rate_mat, load_point_mat) # determine if a generator contains piecewise fuel usage segment based on non-zero heatrate gen_in.HAS_PWFU = any(heat_rate_mat .!= 0 , dims = 2)[:] @@ -586,9 +562,7 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) slope_df = DataFrame(heat_rate_mat, Symbol.(slope_cols)) PWFU_data = hcat(slope_df, intercept_df) # no need to scale sclope, but intercept should be scaled when parameterscale is on (MMBTU -> billion BTU) - for i in 1:num_segments - PWFU_data[!, intercept_cols[i]] /= scale_factor - end + PWFU_data[!, intercept_cols] ./= scale_factor inputs["slope_cols"] = slope_cols inputs["intercept_cols"] = intercept_cols @@ -597,3 +571,32 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) inputs["THERM_COMMIT_PWFU"] = intersect(gen_in[gen_in.THERM.==1,:R_ID], gen_in[gen_in.HAS_PWFU,:R_ID]) end end + +function validate_piecewisefuelusage!(heat_rate_mat, load_point_mat) + # it's possible to construct piecewise fuel consumption with n of heat rate and n-1 of load point. + # if a user feed n of heat rate and more than n of load point, throw a error message, and then use + # n of heat rate and n-1 load point to construct the piecewise fuel usage fuction + if size(heat_rate_mat)[2] < size(load_point_mat)[2] + @error """ The numbers of heatrate data are less than load points, we found $(size(heat_rate_mat)[2]) of heat rate, + and $(size(load_point_mat)[2]) of load points. We will just use $(size(heat_rate_mat)[2]) of heat rate, and $(size(heat_rate_mat)[2]-1) + load point to create piecewise fuel usage + """ + end + + # check if values for piecewise fuel consumption make sense. Negative heat rate or load point are not allowed + if any(heat_rate_mat .< 0) | any(load_point_mat .< 0) + @error """ Neither heat rate nor load point can be negative + """ + error("Invalid inputs detected for piecewise fuel usage") + end + # for non-zero values, heat rates and load points should follow an increasing trend + if any([any(diff(filter(!=(0), row)) .< 0) for row in eachrow(heat_rate_mat)]) + @error """ Heat rates should follow an increasing trend + """ + error("Invalid inputs detected for piecewise fuel usage") + elseif any([any(diff(filter(!=(0), row)) .< 0) for row in eachrow(load_point_mat)]) + @error """load points should follow an increasing trend + """ + error("Invalid inputs detected for piecewise fuel usage") + end +end \ No newline at end of file From 77a543b9561c057ff5650357cfe947631db1f56b Mon Sep 17 00:00:00 2001 From: Fangwei Cheng Date: Fri, 15 Sep 2023 16:53:52 -0400 Subject: [PATCH 33/33] Update load_generators_data.jl --- src/load_inputs/load_generators_data.jl | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/load_inputs/load_generators_data.jl b/src/load_inputs/load_generators_data.jl index 118df8d212..0ee509501c 100644 --- a/src/load_inputs/load_generators_data.jl +++ b/src/load_inputs/load_generators_data.jl @@ -509,7 +509,7 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) load_point_mat = extract_matrix_from_dataframe(gen_in, "PWFU_Load_Point_MW") # check data input - validate_piecewisefuelusage!(heat_rate_mat, load_point_mat) + validate_piecewisefuelusage(heat_rate_mat, load_point_mat) # determine if a generator contains piecewise fuel usage segment based on non-zero heatrate gen_in.HAS_PWFU = any(heat_rate_mat .!= 0 , dims = 2)[:] @@ -572,7 +572,7 @@ function process_piecewisefuelusage!(inputs::Dict, scale_factor) end end -function validate_piecewisefuelusage!(heat_rate_mat, load_point_mat) +function validate_piecewisefuelusage(heat_rate_mat, load_point_mat) # it's possible to construct piecewise fuel consumption with n of heat rate and n-1 of load point. # if a user feed n of heat rate and more than n of load point, throw a error message, and then use # n of heat rate and n-1 load point to construct the piecewise fuel usage fuction