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eqdeclr.mod
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eqdeclr.mod
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*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Copyright (C) 2000-2023 Energy Technology Systems Analysis Programme (ETSAP)
* This file is part of the IEA-ETSAP TIMES model generator, licensed
* under the GNU General Public License v3.0 (see file NOTICE-GPLv3.txt).
*=============================================================================*
* EQDECLR.MOD declarations for actual equations
* %1 - mod or v# for the source code to be used
*=============================================================================*
*GaG Questions/Comments:
* - declare all equations so that restarting changed models will work
*-----------------------------------------------------------------------------
*-----------------------------------------------------------------------------
EQUATIONS
*-----------------------------------------------------------------------------
* Objective Function & Components
$IFI %MACRO%==YES $GOTO MACROBJ
*-----------------------------------------------------------------------------
* Overall OBJ linear combination of the regional objs (which are built from rest)
EQ_OBJ 'Overall Objective Function'
* OBJ cost components
%EQ%_OBJELS(R,BD,CUR %SWD%) 'Costs of elastic demands'
%EQ%_OBJFIX(R,CUR %SWD%) 'Fixed Costs'
%EQ%_OBJINV(R,CUR %SWD%) 'Investment component'
%EQ%_OBJSALV(R,CUR %SWD%) 'Salvage'
%EQ%_OBJVAR(R,CUR %SWD%) 'Variable operating costs'
%EQ%_OBJDAM(R,CUR %SWD%) 'Damage costs'
*-----------------------------------------------------------------------------
$IFI %MACRO%==YES
$LABEL MACROBJ BATINCLUDE eqdeclr.tm
*-----------------------------------------------------------------------------
* Core Equations
*-----------------------------------------------------------------------------
* Relationship between process activity & individual primary commodity flows
%EQ%_ACTFLO(R,ALLYEAR,ALLYEAR,P,S %SWTD%) 'Process Activity/Primary Commodity Flows'
* Bound on activity
%EQ%G_ACTBND(R,ALLYEAR,P,S %SWTD%) 'Process activity Bound in a Period (=G=)' //
%EQ%E_ACTBND(R,ALLYEAR,P,S %SWTD%) 'Process activity Bound in a Period (=E=)' //
%EQ%L_ACTBND(R,ALLYEAR,P,S %SWTD%) 'Process activity Bound in a Period (=L=)' //
* Bound on commodities
%EQ%G_BNDNET(R,ALLYEAR,C,S %SWTD%) 'Net bound on a commodity (=G=)'
%EQ%E_BNDNET(R,ALLYEAR,C,S %SWTD%) 'Net bound on a commodity (=E=)'
%EQ%L_BNDNET(R,ALLYEAR,C,S %SWTD%) 'Net bound on a commodity (=L=)'
%EQ%G_BNDPRD(R,ALLYEAR,C,S %SWTD%) 'Production bound on a commodity (=G=)'
%EQ%E_BNDPRD(R,ALLYEAR,C,S %SWTD%) 'Production bound on a commodity (=E=)'
%EQ%L_BNDPRD(R,ALLYEAR,C,S %SWTD%) 'Production bound on a commodity (=L=)'
* Utilization of capacity, or the relationship between process capacity and activity
%EQ%L_CAPACT(R,ALLYEAR,ALLYEAR,P,S %SWTD%) 'Capacity Utilzation (=L=)'
%EQ%E_CAPACT(R,ALLYEAR,ALLYEAR,P,S %SWTD%) 'Capacity Utilzation (=E=)'
%EQ%G_CAPACT(R,ALLYEAR,ALLYEAR,P,S %SWTD%) 'Capacity Utilzation (=G=)'
* Basic commodity balance equations (by type) ensuring that production >=/= consumption
%EQ%G_COMBAL(R,ALLYEAR,C,S %SWTD%) 'Commodity Balance (=G=)' //
%EQ%E_COMBAL(R,ALLYEAR,C,S %SWTD%) 'Commodity Balance (=E=)' //
%EQ%E_COMPRD(R,ALLYEAR,C,S %SWTD%) 'Commodity Production (=E=)'
%EQ%L_COMCES(R,ALLYEAR,C,C,S%SWTD%) 'CES substitution steps (=L=)'
* Transfer of installed capacity between periods
%EQ%G_CPT(R,ALLYEAR,P %SWTD%) 'Capacity Transfer (=G=)'
%EQ%E_CPT(R,ALLYEAR,P %SWTD%) 'Capacity Transfer (=E=)'
%EQ%L_CPT(R,ALLYEAR,P %SWTD%) 'Capacity Transfer (=L=)'
* Cumulative constraints
%EQ%_CUMNET(R,C,ALLYEAR,ALLYEAR %SWD%) 'Cummulative Net Commodity Limit (=E=)'
%EQ%_CUMPRD(R,C,ALLYEAR,ALLYEAR %SWD%) 'Cummulative Commodity Production Limit (=E=)'
%EQ%_CUMFLO(R,P,C,ALLYEAR,LL %SWD%) 'Cummulative Commodity Flow Limit (=E=)'
* Bound on the fraction of a flow within a time slice
%EQ%G_FLOFR(R,T,P,C,S,L %SWTD%) 'Flow fraction (=G=)'
%EQ%E_FLOFR(R,T,P,C,S,L %SWTD%) 'Flow fraction (=E=)'
%EQ%L_FLOFR(R,T,P,C,S,L %SWTD%) 'Flow fraction (=L=)'
* Bound on the total flow
%EQ%G_FLOBND(R,T,P,CG,S %SWTD%) 'Flow bound (=G=)'
%EQ%E_FLOBND(R,T,P,CG,S %SWTD%) 'Flow bound (=E=)'
%EQ%L_FLOBND(R,T,P,CG,S %SWTD%) 'Flow bound (=L=)'
* Market share equation allocating commodity percentages of a group
%EQ%G_INSHR(R,ALLYEAR,ALLYEAR,P,C,CG,S %SWTD%) 'Commodity Input Group Share (=G=)'
%EQ%E_INSHR(R,ALLYEAR,ALLYEAR,P,C,CG,S %SWTD%) 'Commodity Input Group Share (=E=)'
%EQ%L_INSHR(R,ALLYEAR,ALLYEAR,P,C,CG,S %SWTD%) 'Commodity Input Group Share (=L=)'
* Inter-period storage equation
%EQ%_STGIPS(R,ALLYEAR,ALLYEAR,P,ITEM %SWTD%) 'Inter-period storage equation'
%EQ%_STGAUX(R,ALLYEAR,ALLYEAR,P,C,S %SWTD%) 'Storage auxiliary flows'
* Inter-regional exchange balance
%EQ%_IRE(R,ALLYEAR,P,C,IE,S %SWTD%) 'Inter-regional Exchange Process Balance (=E=)'
* Bound on inter-regional exchange of a commodity
%EQ%G_IREBND(R,ALLYEAR,C,S,ALL_REG,IE %SWTD%) 'Limit on Inter-regional Exchange (=G=)'
%EQ%E_IREBND(R,ALLYEAR,C,S,ALL_REG,IE %SWTD%) 'Limit on Inter-regional Exchange (=E=)'
%EQ%L_IREBND(R,ALLYEAR,C,S,ALL_REG,IE %SWTD%) 'Limit on Inter-regional Exchange (=L=)'
* Bound on total exchange of a commodity to/from all regions
%EQ%G_XBND(ALL_REG,ALLYEAR,C,S,IE %SWTD%) 'Limit on Total Exchange (=G=)'
%EQ%E_XBND(ALL_REG,ALLYEAR,C,S,IE %SWTD%) 'Limit on Total Exchange (=E=)'
%EQ%L_XBND(ALL_REG,ALLYEAR,C,S,IE %SWTD%) 'Limit on Total Exchange (=L=)'
* Product share equation allocating commodity percentages of a group
%EQ%G_OUTSHR(R,ALLYEAR,ALLYEAR,P,C,CG,S %SWTD%) 'Commodity Output Group Share (=G=)'
%EQ%E_OUTSHR(R,ALLYEAR,ALLYEAR,P,C,CG,S %SWTD%) 'Commodity Output Group Share (=E=)'
%EQ%L_OUTSHR(R,ALLYEAR,ALLYEAR,P,C,CG,S %SWTD%) 'Commodity Output Group Share (=L=)'
* Process market-share equation of total commodity production
%EQ%G_FLOMRK(R,ALLYEAR,ITEM,C,S %SWTD%) 'Process market-share (=G=)' //
%EQ%E_FLOMRK(R,ALLYEAR,ITEM,C,S %SWTD%) 'Process market-share (=E=)' //
%EQ%L_FLOMRK(R,ALLYEAR,ITEM,C,S %SWTD%) 'Process market-share (=L=)' //
* Peaking Equation
%EQ%_PEAK(R,ALLYEAR,COM_GRP,S %SWTD%) 'Commodity Peaking constraint (=G=)'
* Commodity-to-commodity transformation
%EQ%_PTRANS(R,ALLYEAR,ALLYEAR,P,CG,CG,S %SWTD%) 'Commodity-to-Commodity Transform (=E=)'
* Time-slice storage equation
%EQ%_STGTSS(R,ALLYEAR,ALLYEAR,P,S %SWTD%) 'Time-slice storage equation'
%EQ%_STSBAL(R,ALLYEAR,ALLYEAR,P,TSL,S,L%SWTD%) 'Time-slice storage balancer'
EQ_STSLEV(R,ALLYEAR,ALLYEAR,P,TSLVL,S,ALLSOW) 'Time-slice storage levelizer'
* Bound on storage flow
%EQ%G_STGIN(R,ALLYEAR,P,C,S %SWTD%) 'Bound on input flow of storage (=G=)'
%EQ%E_STGIN(R,ALLYEAR,P,C,S %SWTD%) 'Bound on input flow of storage (=E=)'
%EQ%L_STGIN(R,ALLYEAR,P,C,S %SWTD%) 'Bound on input flow of storage (=L=)'
%EQ%G_STGOUT(R,ALLYEAR,P,C,S %SWTD%) 'Bound on output flow of storage (=G=)'
%EQ%E_STGOUT(R,ALLYEAR,P,C,S %SWTD%) 'Bound on output flow of storage (=E=)'
%EQ%L_STGOUT(R,ALLYEAR,P,C,S %SWTD%) 'Bound on output flow of storage (=L=)'
* Retirements
%EQ%_CUMRET(R,ALLYEAR,ALLYEAR,P%SWTD%) 'Cumulative retirements'
%EQ%L_REFIT(R,ALLYEAR,ALLYEAR,P,L%SWTD%) 'Retrofit/life-extension (=L=)'
%EQ%L_SCAP(R,ALLYEAR,P,IPS%SWD%) 'Salvage capacity (=L=)'
* Cost bounds
%EQ%_BNDCST(REG,ALLYEAR,T,ALLYEAR,COSTCAT,CUR %SWD%) 'Bound on cumulative costs'
* User-constraints
%EQ%E_UC(UC_N %SWD%) 'User-constraints (=E=)'
%EQ%E_UCR(UC_N,R %SWD%) 'User-constraints (=E=)'
%EQ%E_UCT(UC_N,T %SWTD%) 'User-constraints (=E=)'
%EQ%E_UCRT(UC_N,R,T %SWTD%) 'User-constraints (=E=)'
%EQ%E_UCTS(UC_N,T,S %SWTD%) 'User-constraints (=E=)'
%EQ%E_UCRS(R,UC_N,T,TSL,S %SWD%) 'User-constraints (=E=)'
%EQ%E_UCRTS(UC_N,R,T,S %SWTD%) 'User-constraints (=E=)'
%EQ%E_UCSU(UC_N,T %SWD%) 'User-constraints (=E=)'
%EQ%E_UCSUS(UC_N,T,S %SWD%) 'User-constraints (=E=)'
%EQ%E_UCRSUS(UC_N,R,T,S %SWD%) 'User-constraints (=E=)'
%EQ%E_UCRSU(UC_N,R,T %SWD%) 'User-constraints (=E=)'
$IF %VAR_UC% == YES $GOTO UCDONE
EQG_UC(UC_N) 'User-constraints (=G=)'
EQG_UCR(UC_N,R) 'User-constraints (=G=)'
EQG_UCT(UC_N,T) 'User-constraints (=G=)'
EQG_UCRT(UC_N,R,T) 'User-constraints (=G=)'
EQG_UCTS(UC_N,T,S) 'User-constraints (=G=)'
EQG_UCRS(R,UC_N,T,TSL,S) 'User-constraints (=G=)'
EQG_UCRTS(UC_N,R,T,S) 'User-constraints (=G=)'
EQG_UCSU(UC_N,T) 'User-constraints (=G=)'
EQG_UCSUS(UC_N,T,S) 'User-constraints (=G=)'
EQG_UCRSUS(UC_N,R,T,S) 'User-constraints (=G=)'
EQG_UCRSU(UC_N,R,T) 'User-constraints (=G=)'
EQL_UC(UC_N) 'User-constraints (=L=)'
EQL_UCR(UC_N,R) 'User-constraints (=L=)'
EQL_UCT(UC_N,T) 'User-constraints (=L=)'
EQL_UCRT(UC_N,R,T) 'User-constraints (=L=)'
EQL_UCTS(UC_N,T,S) 'User-constraints (=L=)'
EQL_UCRS(R,UC_N,T,TSL,S) 'User-constraints (=L=)'
EQL_UCRTS(UC_N,R,T,S) 'User-constraints (=L=)'
EQL_UCSU(UC_N,T) 'User-constraints (=L=)'
EQL_UCSUS(UC_N,T,S) 'User-constraints (=L=)'
EQL_UCRSUS(UC_N,R,T,S) 'User-constraints (=L=)'
EQL_UCRSU(UC_N,R,T) 'User-constraints (=L=)'
$LABEL UCDONE
*-----------------------------------------------------------------------------
*GG* V07_2 BLENDing equation
EQL_BLND(R,YEAR,BLE,SPE,ALLSOW) 'Blending (=L=)'
EQG_BLND(R,YEAR,BLE,SPE,ALLSOW) 'Blending (=G=)'
EQE_BLND(R,YEAR,BLE,SPE,ALLSOW) 'Blending (=E=)'
EQN_BLND(R,YEAR,BLE,SPE,ALLSOW) 'Blending non-binding'
* Damage Extension
%EQ%_DAMAGE(R,T,C %SWD%) 'Damages'
* Stochastic extension
%EQ%_ROBJ(R%SWD%) 'Deterministic objective by region and SOW'
%EQ%_SOBJ(LIM%SWD%) 'Deterministic objective by SOW'
EQ_EXPOBJ(ALLSOW) 'Expected value of total system cost'
EQ_UPDEV(ALLSOW) 'Upper absolute deviation'
;