-
Notifications
You must be signed in to change notification settings - Fork 40
/
eqlducs.vda
175 lines (149 loc) · 11.8 KB
/
eqlducs.vda
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Copyright (C) 2000-2024 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).
*=============================================================================*
* EQLDUCS - implements linear and discrete unit commitment
* %1 - Section
*=============================================================================*
$IF NOT %OBMAC%==YES $EXIT
$IF %1==EQU $GOTO EQU
* Internal attributes for equation control
PARAMETER DP_NON(R,LL,P,UPT,TSL,BD) 'Bounds on non-operational time between shut-down and next start-up';
*------------------------------------
* Assume valid UPTs must have a cost or SD-time; reset simplified UC options
OPTION RP_UPT<ACT_CSTSD, TRACKP<RP_UPT;
RP_DP(TRACKP(RP))$=RP_UPL(RP,'FX');
RP_DP(RP)$SUM(RPS_CAFLAC(PRC_TS(RP,S),BD),1)=NO;
RP_DPL(PRC_TSL(RP_DP,TSL)) = YES;
RP_DPL(RP_DP(R,P),TSL)$(RLUP(R,'DAYNITE',TSL)$PRC_TSL(R,P,'DAYNITE')) = ORD(TSL)>1;
ACT_CSTUP(RTP(R,V,P),TSL,CUR)$RP_DP(R,P) = 0;
ACT_CSTSD(RTP(R,V,P),UPT,'FX',CUR)$(RDCUR(R,CUR)$RP_DP(R,P)) = ACT_CSTSD(RTP,UPT,'UP',CUR)+ACT_CSTSD(RTP,'HOT','LO',CUR);
ACT_CSTUP(RTP(R,V,P),TSL,CUR)$RP_DPL(R,P,TSL) $=SUM(UPT$ACT_CSTSD(RTP,UPT,'FX',CUR),EPS);
RP_UPT(RP_DP,UPT,'LO')=DIAG('HOT',UPT); LOOP(V,RP_UPT(R,P,UPT,BD('UP'))$ACT_SDTIME(R,V,P,UPT,BD)=YES);
*------------------------------------
* Max. non-op. time processing
ACT_MAXNON(R,V,P,UPT)$((NOT ACT_MAXNON(R,V,P,UPT))$RP_DP(R,P)) = EPS;
DP_NON(RTP(R,V,P),UPT,TSL,'UP')$((ACT_MAXNON(RTP,UPT)<8760/G_CYCLE(TSL))$RP_DPL(R,P,TSL)) = ACT_MAXNON(RTP,UPT)/8760;
DP_NON(RTP(R,V,P),'WARM',TSL,'LO')$RP_DP(R,P) = DP_NON(RTP,'HOT',TSL,'UP');
DP_NON(RTP(R,V,P),UPT,TSL,'LO')$RP_DP(R,P) = MAX(DP_NON(RTP,UPT,TSL,'LO'),ACT_TIME(RTP,'LO')/8760);
DP_NON(RTP(R,V,P),UPT,TSL,BDNEQ(BD))$RP_DP(R,P) = DP_NON(RTP,UPT,TSL,BD)+(ACT_SDTIME(RTP,UPT,'UP')+ACT_SDTIME(RTP,'HOT','LO'))/8760;
DP_NON(RTP(R,V,P),UPT,TSL,'UP')$(DP_NON(RTP,UPT,TSL,'UP')$RP_DP(R,P)) = DP_NON(RTP,UPT,TSL,'UP')-DP_NON(RTP,UPT,TSL,'LO');
DP_NON(RTP,'COLD',TSL,'UP') = 0;
*------------------------------------
* Partial loss processing
ACT_SDTIME(RTP(R,V,P),UPT,BD)$(NOT RP_UPT(R,P,UPT,BD)) = 0;
DP_PSUD(RTP,UPT,BDNEQ(BD))$((ACT_SDTIME(RTP,UPT,BD)>0)$ACT_SDTIME(RTP,UPT,BD)) = ACT_MINLD(RTP)/ACT_SDTIME(RTP,UPT,BD);
ACT_LOSSD(RTP,UPT,BD)$(ACT_MINLD(RTP)$DP_PSUD(RTP,UPT,BD)<=DP_PSUD(RTP,UPT,BD)) = 0;
OPTION CLEAR=TRACKP,DP_LOSD<ACT_LOSSD; DP_LOSD(RTP(R,V,P))$RP_PL(R,P,'N')$=RP_PL(R,P,'FX');
ACT_LOSPL(DP_LOSD(RTP(R,V,P)),'FX')$(ACT_LOSPL(RTP,'FX')=0) = .01**(1$RP_PL(R,P,'N'));
ACT_LOSSD(RTP,UPT,BD)$((ACT_LOSSD(RTP,UPT,BD)<ACT_LOSPL(RTP,'FX'))$ACT_LOSSD(RTP,UPT,BD)) = 0;
DP_PSUD(DP_LOSD(RTP(R,V,P)),UPT,BDNEQ(BD)) = (DP_PSUD(RTP,UPT,BD)*(ACT_LOSSD(RTP,UPT,BD)/ACT_LOSPL(RTP,'FX')-1$RP_PL(R,P,'N'))/(ACT_MINLD(RTP)-DP_PSUD(RTP,UPT,BD)))$ACT_LOSSD(RTP,UPT,BD);
$EXIT
*-----------------------------------------------------------------------------
$LABEL EQU
* Disable inconsistent linear dispatch features, add UX control for CAP
RP_UPS(RP_DP,TSL,L)=NO;
RP_UPC(RP_DP,TSL,BD)=NO;
AFUPS(R,T,P,S)$RP_DP(R,P)=NO;
RPS_UPS(PRC_TS(RP_DP,S))=YES;
RP_UX(RP)$(NOT PRC_VINT(RP))$=RP_DP(RP); RTP_VARP(RTP(R,T,P))$RP_UX(R,P)=YES;
RP_UPS(RP_DP(R,P),TSL,'FX')$=SUM(RLUP(R,TSLVL,TSL)$PRC_TSL(R,P,TSLVL),1);
*-----------------------------------------------------------------------------
$ macro sdtol .001
$ macro var_on(r,v,t,p,s) %var%_udp(r,v,t,p,s,'N'%SOW%)
$ macro var_off(r,v,t,p,s) %var%_ups(r,v,t,p,s,'N'%SOW%)
$ macro var_load(r,v,t,p,s) %var%_act(r,v,t,p,s%SOW%)/g_yrfr(r,s)/prc_capact(r,p)
$ macro var_gap(r,v,t,p,s) %var%_udp(r,v,t,p,s,'FX'%SOW%)
$ macro v_u(x,r,v,t,p,s,l) %var%_&x(r,v,t,p,s,l%SOW%)
$ macro SUDHFR(r,s,x,sl) (G_YRFR(r,s) x G_YRFR(r,sl))/2/RS_STGPRD(r,s)
$ macro SPRSV \
$IFI %ABS%==YES -sum(bs_comts(bs_apos(r,c),s)$bs_bsc(r,p,c),%var%_bsprs(r,v,t,p,c,s,'N'%SOW%))$bs_supp(r,p)
*-----------------------------------------------------------------------------
$SET CAPON (COEF_CPT(R,V,T,P)*(%VARV%_NCAP(R,V,P%SWS%)$T(V)+NCAP_PASTI(R,V,P)%RCAPSUB%))$PRC_VINT(R,P)+%VAR%_CAP(R,T,P%SOW%)$RP_UX(R,P)
$macro CAPUPS (%CAPON%-SUM(rs_below(r,all_ts,s)$rps_ups(r,p,all_ts),var_off(r,v,t,p,all_ts)))
*-----------------------------------------------------------------------------
eq_sdlogic(rtp_vintyr(%R_V_T%,p),tsl,RTS(s),lnx(l)%SWX%)$(%SWTX%ts_group(r,tsl,s)$rp_dpl(r,p,tsl))..
(sum(ts(s--rs_stg(r,s)),var_on(r,v,t,p,ts)-var_on(r,v,t,p,s)) - SUM(bd,v_u(ups,r,v,t,p,s,bd)*BDSIG(bd)))$ips(l) +
(v_u(ups,r,v,t,p,s,'UP') - SUM(rp_upt(r,p,upt,'UP'),v_u(upt,r,v,t,p,s,upt)))$bd(l) =E= 0;
*-----------------------------------------------------------------------------
eq_sudupt(rtp_vintyr(%R_V_T%,p),tsl,RTS(s),upt%SWX%)$(%SWTX%DP_NON(r,v,p,upt,tsl,'UP')$ts_group(r,tsl,s)$rp_dpl(r,p,tsl))..
v_u(upt,r,v,t,p,s,upt) =L= sum((rs_up(r,s,js),rj_sl(r,js,sl))$(ORD(s)<>ORD(sl)),
v_u(ups,r,v,t,p,sl,'LO')$(MOD(RS_HR(r,s)-RS_HR(r,sl)-DP_NON(r,v,p,upt,tsl,'LO')+(G_YRFR(r,sl)/4+G_YRFR(r,s))/RS_STGPRD(r,s)+2/JS_CCL(r,js),1/JS_CCL(r,js))<DP_NON(r,v,p,upt,tsl,'UP')*(1+sdtol)+G_YRFR(r,s)/RS_STGPRD(r,s)/2));
*-----------------------------------------------------------------------------
eq_sdslant(rtp_vintyr(%R_V_T%,p),tsl,RTS(s)%SWX%)$(%SWTX%ts_group(r,tsl,s)$rp_dpl(r,p,tsl))..
var_on(r,v,t,p,s) =E= sum(rs_below1(r,ts,s),v_u(ups,r,v,t,p,ts,'FX')-CAPUPS)$PRC_TS(R,P,S) + (CAPUPS) - var_off(r,v,t,p,s) -
sum(rp_upt(r,p,upt,bd),
sum((rs_up(r,s,js),rj_sl(r,js,sl))$(RS_MODUS(R,SL,JS,S)<ACT_SDTIME(r,v,p,upt,bd)/8760*(1+sdtol)),
v_u(upt,r,v,t,p,sl,upt)*(0$DIAG(S,SL) +
MAX(0,1-MOD(RS_HR(r,sl)-RS_HR(r,s)+SUDHFR(r,sl,-,s)+2/JS_CCL(r,js),1/JS_CCL(r,js))/(ACT_SDTIME(r,v,p,upt,bd)/8760))*(1-DIAG(S,SL))))$bdupx(bd) +
sum((rs_up(r,s,js),rj_sl(r,js,sl))$(RS_MODUS(R,S,JS,SL)<ACT_SDTIME(r,v,p,upt,bd)/8760*(1+sdtol)),
v_u(ups,r,v,t,p,sl,bd)*(1$DIAG(S,SL) +
MAX(0,1-MOD(RS_HR(r,s)-RS_HR(r,sl)+SUDHFR(r,sl,-,s)+2/JS_CCL(r,js),1/JS_CCL(r,js))/(ACT_SDTIME(r,v,p,upt,bd)/8760))*(1-DIAG(S,SL))))$bdlox(bd));
*-----------------------------------------------------------------------------
eq_sdminon(rtp_vintyr(%R_V_T%,p),RTS(s)%SWX%)$(%SWTX%prc_ts(r,p,s)$rp_dp(r,p))..
var_on(r,v,t,p,s)+sum(rs_below1(r,ts,s),var_gap(r,v,t,p,ts)) =G= var_gap(r,v,t,p,s)+v_u(ups,r,v,t,p,s,'UP')+
(SUM(rp_upt(r,p,upt,'UP')$(G_YRFR(r,s)/RS_STGPRD(r,s)/2<=ACT_SDTIME(R,V,P,upt,'UP')/8760),v_u(upt,r,v,t,p,s,upt))-v_u(ups,r,v,t,p,s,'UP'))$(SMIN(rp_upt(r,p,upt,'UP'),ACT_SDTIME(r,v,p,upt,'UP')/8760)<G_YRFR(r,s)/RS_STGPRD(r,s)/2);
*-----------------------------------------------------------------------------
eq_sudload(rtp_vintyr(%R_V_T%,p),RTS(s)%SWX%)$(%SWTX%prc_ts(r,p,s)$rp_dp(r,p))..
var_load(r,v,t,p,s) =E= (%CAPON%%UPSCAPS%)*ACT_MINLD(R,V,P) + var_gap(r,v,t,p,s)*(COEF_AF(r,v,t,p,s,'UP')-ACT_MINLD(r,v,p)) SPRSV;
*-----------------------------------------------------------------------------
eq_sudtime(rtp_vintyr(%R_V_T%,p),tsl,RTS(s),bd%SWX%)$(%SWTX%prc_tsl(r,p,tsl)$ts_group(r,tsl,s)$act_time(r,v,p,bd)$rp_dp(r,p))..
sum(bdlox(bd), var_off(r,v,t,p,s) -
sum((rs_up(r,s,js),rj_sl(r,js,sl)),v_u(ups,r,v,t,p,sl,bd)$(MOD(RS_HR(r,s)-RS_HR(r,sl)-ACT_SDTIME(r,v,p,'HOT','LO')/8760+G_YRFR(r,s)/RS_STGPRD(r,s)/2+2/JS_CCL(r,js),1/JS_CCL(r,js))<ACT_TIME(r,v,p,bd)/8760))) +
sum(bdupx(bd), var_on(r,v,t,p,s) -
sum((rs_up(r,s,js),rj_sl(r,js,sl)),
sum(rp_upt(r,p,upt,bd),v_u(upt,r,v,t,p,sl,upt)$(MOD(RS_HR(r,s)-RS_HR(r,sl)+1/JS_CCL(r,js),1/JS_CCL(r,js))<(ACT_TIME(r,v,p,bd)-ACT_SDTIME(r,v,p,'HOT','LO')-ACT_SDTIME(r,v,p,upt,bd))/8760+G_YRFR(r,sl)/RS_STGPRD(r,s)/2))))
=G= 0;
*-----------------------------------------------------------------------------
eq_sudpll(rtp_vintyr(%R_V_T%,p),tsl,RTS(s)%SWX%)$(%SWTX%ts_group(r,tsl,s)$prc_tsl(r,p,tsl)$DP_LOSD(r,v,p)$rp_dp(r,p))..
v_u(ups,r,v,t,p,s,'FX') =G=
sum(rp_upt(r,p,upt,bd),
sum((rs_up(r,s,js),rj_sl(r,js,sl))$(MOD((RS_HR(r,s)-RS_HR(r,sl))*BDSIG(bd)+G_YRFR(r,sl)/RS_STGPRD(r,s)/2+2/JS_CCL(r,js),1/JS_CCL(r,js))<ACT_SDTIME(r,v,p,upt,bd)/8760*(1+sdtol)),
(1+MIN(1,MOD((RS_HR(r,s)-RS_HR(r,sl))*BDSIG(bd)+SUDHFR(r,sl,-,s)+2/JS_CCL(r,js),1/JS_CCL(r,js))/(ACT_SDTIME(r,v,p,upt,bd)/8760))*(DP_PSUD(r,v,p,upt,bd)-1)) *
(v_u(upt,r,v,t,p,sl,upt)$bdupx(bd) + v_u(ups,r,v,t,p,sl,bd)$bdlox(bd)))) * PRC_CAPACT(r,p)*G_YRFR(r,s)*ACT_MINLD(r,v,p);
*=============================================================================
* Discrete Unit Commitment
$IFI NOT %DUC%==YES $EXIT
$ SETGLOBAL SOLMIP YES
* Prepare min. unit sizes for semi-continuous modeling
NCAP_SEMI(RVP)$=0; TRACKP(RP_DP(RP))$(PRC_SEMI(RP)<10)=YES;
COEF_CAP(RTP_VINTYR(R,T,T,P))$TRACKP(R,P)=MIN(NCAP_SEMI(R,T,P),SUM(RTP_CPTYR(R,PYR(V),T,P),NCAP_PASTI(R,V,P)*COEF_CPT(R,V,T,P)));
COEF_CAP(RTP_VINTYR(R,PYR(V),T,P))$(PRC_VINT(R,P)$TRACKP(R,P))=MIN(NCAP_SEMI(R,V,P),NCAP_PASTI(R,V,P)*COEF_CPT(R,V,T,P));
COEF_CAP(RTP_VINTYR(R,TT,T,P))$((COEF_CAP(R,TT,T,P)=0)$TRACKP(R,P)) = NCAP_SEMI(R,TT,P);
DP_UNS(RTP_VINTYR(R,V,T,P),TSL,'IN',LNX)$RP_DPL(R,P,TSL) $= COEF_CAP(R,V,T,P);
DP_UNS(RTP_VINTYR(R,V,T,P),TSL,'IN',L)$(RP_UPS(R,P,TSL,'FX')$RP_DP(R,P)) $= COEF_CAP(R,V,T,P);
DP_UNS(RTP_VINTYR(R,V,T,P),TSL,IPS(L),L)$((NOT DP_UNS(R,V,T,P,TSL,'IN',L))$RP_DPL(R,P,TSL))=1;
$IF DEFINED PRC_DSCNCAP PRC_DSCNCAP(TRACKP)=0;
OPTION CLEAR=TRACKP,CLEAR=COEF_CAP;
$IF %STAGES%==YES OPTION CLEAR=DP_UNS;
*-----------------------------------------------------------------------------
* Variables, Equations and Indicators
BINARY VARIABLES var_onind(r,ll,t,p,s,l) 'on-line status of unit in timeslice s';
EQUATIONS eq_sdind_1, eq_sdind_0;
SET INDIC(J) /
1 "eq_sdind_0(r,v,t,p,tsl,s,ips,l)$var_onind(r,v,t,p,s,l) 0"
2 "eq_sdind_1(r,v,t,p,tsl,s,ips,l)$var_onind(r,v,t,p,s,l) 1"
/;
*--------------------------------------
FILE INDFILE / INDIC.TXT /;
IF(SUM(RP_DP,1),PUT INDFILE; LOOP(INDIC(J)$(ORD(J)<3), put "indic ",INDIC.TE(J) /);
PUTCLOSE INDFILE; OPTFILEID=2;
$ if exist cplex.opt execute "cat cplex.opt indic.txt > cplex.op2";
$ if exist xpress.opt execute "cat xpress.opt indic.txt > xpress.op2";
);
*-----------------------------------------------------------------------------
eq_sdind_1(rtp_vintyr(%R_V_T%,p),tsl,ts(s--rs_stg(r,s)),ips,L)$(ts_group(r,tsl,s)$DP_UNS(r,v,t,p,tsl,ips,l))..
var_onind(r,v,t,p,ts,l)*EPS +
(var_on(r,v,t,p,ts)-sum(rs_below1(r,sl,s)$prc_ts(r,p,s),var_ups(r,v,t,p,sl,'FX')-CAPUPS) - ((CAPUPS)+var_ups(r,v,t,p,ts,'LO')+var_ups(r,v,t,p,s,'UP')))$L(ips) +
((var_on(r,v,t,p,ts) - var_gap(r,v,t,p,ts)$(NOT PRC_TSL(r,p,tsl)) - MAX(DP_UNS(r,v,t,p,tsl,ips,l),NCAP_SEMI(r,v,p)$PRC_TSL(r,p,tsl)/2))$ips(L) +
(var_ups(r,v,t,p,ts,'UP') + var_ups(r,v,t,p,ts,'LO') - MAX(DP_UNS(r,v,t,p,tsl,ips,l),NCAP_SEMI(r,v,p)$PRC_TSL(r,p,tsl)/2))$diag('FX',L) +
(%CAPON%-var_on(r,v,t,p,ts) - DP_UNS(r,v,t,p,tsl,ips,l))$diag('LO',L) +
(var_gap(r,v,t,p,ts) - DP_UNS(r,v,t,p,tsl,ips,l))$diag('UP',L))$io(ips) =G= 0;
*-----------------------------------------------------------------------------
eq_sdind_0(rtp_vintyr(%R_V_T%,p),tsl,ts(s--rs_stg(r,s)),ips,l)$(ts_group(r,tsl,s)$DP_UNS(r,v,t,p,tsl,ips,l))..
(var_on(r,v,t,p,ts)+sum(rs_below1(r,sl,s),var_gap(r,v,t,p,sl)+var_ups(r,v,t,p,ts,'UP'))$prc_ts(r,p,s))$L(ips) +
((var_on(r,v,t,p,ts) - var_gap(r,v,t,p,ts)$(NOT PRC_TSL(r,p,tsl)) + var_ups(r,v,t,p,ts,'UP'))$ips(L) +
(var_ups(r,v,t,p,ts,'UP') + var_ups(r,v,t,p,ts,'LO'))$diag('FX',L) +
(%CAPON%-var_on(r,v,t,p,ts)+var_ups(r,v,t,p,ts,'LO'))$diag('LO',L) +
(var_gap(r,v,t,p,ts))$diag('UP',L))$io(ips) =L= 0;