forked from etsap-TIMES/TIMES_model
-
Notifications
You must be signed in to change notification settings - Fork 0
/
eqdamage.mod
161 lines (144 loc) · 9.12 KB
/
eqdamage.mod
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
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* 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).
*-----------------------------------------------------------------------------
* EQDAMAGE.mod - Extension for Linearized/Non-linear Damages
*-----------------------------------------------------------------------------
* Questions/Comments:
*-----------------------------------------------------------------------------
$ IF %1==E $GOTO LPDAM
$ IF NOT DEFINED DAM_ELAST PARAMETER DAM_ELAST //;
* Internal sets and parameters
SET JSUBJ(J,J) 'All steps up to J' //;
SET DAM_NUM(R,C,J,BD);
SET DAMOBJ / DAM, DAS, DAM-EXT /;
SET WWDAM /DELTA-ATM/, RTDAM(R,T,C,ALLSOW), SWW(ALLSOW,ALLSOW);
PARAMETER DAM_SIZE(REG,T,COM,LIM) 'Size of emission steps' //;
*-----------------------------------------------------------------------------
OPTION CLEAR=RXX;
$ BATINCLUDE filparam DAM_TQTY 'R,' C ",'0','0','0','0'" DATAYEAR T '' '' '' "YEAR,"
DAM_TQTY(R,T,C)$(NOT DAM_TQTY(R,T,C)) $= DAM_BQTY(R,C);
* Enable damage costs for atmospheric CO2 concentration:
$IF %CLI%==YES RTC(R,T,C(CG(CM_VAR)))$((NOT RC(R,C))$DAM_TQTY(R,T,C)) = YES;
* Remove EPS costs unless uncertain
DAM_COST(R,T,C,CUR)$((DAM_COST(R,T,C,CUR) EQ 0)$DAM_COST(R,T,C,CUR)) = 0;
$IFI %STAGES%==YES OPTION SWW<=SW_TSW; LOOP(SOW,DAM_COST(R,T,C,CUR)$S_DAM_COST(R,T,C,CUR,'1',SOW) = DAM_COST(R,T,C,CUR)+EPS);
LOOP(RDCUR(R,CUR), RXX(RTC)$DAM_COST(RTC,CUR) = YES);
LOOP(T,TRACKC(R,C)$RXX(R,T,C) = YES);
DAM_TVOC(RXX(R,T,C),BD) $= DAM_VOC(R,C,BD);
RHS_COMBAL(RTCS_VARC(RXX(R,T,C),S))$(NOT DAM_ELAST(R,C,'N')) = YES;
RCS_COMBAL(RHS_COMBAL(RXX(R,T,C),S),'FX') = YES;
* If BQTY is zero set VOC to zero to, leading to constant cost
DAM_TQTY(RXX(R,T,C))$(DAM_TQTY(R,T,C) LE 0) = MAX(0,DAM_TVOC(R,T,C,'LO'));
DAM_TVOC(RXX(R,T,C),BD)$(NOT DAM_TQTY(R,T,C)) = 0;
LOOP(T,DAM_ELAST(R,C,BD)$((NOT DAM_TQTY(R,T,C))$RXX(R,T,C)) = 0);
DAM_STEP(TRACKC(R,C),'FX') = 0; Z = 100;
DAM_STEP(TRACKC(R,C),BD)$((NOT DAM_STEP(R,C,BD))$DAM_ELAST(R,C,BD)) = 1;
DAM_STEP(TRACKC(R,C),BD)$DAM_STEP(R,C,BD) = MIN(Z,ABS(ROUND(DAM_STEP(R,C,BD))));
* Ensure that elasticities are greater than or equal to 1:
DAM_ELAST(TRACKC(R,C),'LO') = ABS(DAM_ELAST(R,C,'UP')$(NOT DAM_ELAST(R,C,'LO'))+DAM_ELAST(R,C,'LO'));
DAM_ELAST(TRACKC(R,C),'UP') = ABS(DAM_ELAST(R,C,'LO')$(NOT DAM_ELAST(R,C,'UP'))+DAM_ELAST(R,C,'UP'));
* Adjust VOCs
DAM_TVOC(RXX(R,T,C),BD)$(NOT DAM_TVOC(R,T,C,BD)) $= (DAM_STEP(R,C,BD)+.5)*DAM_VOC(R,C,'N')*DAM_TQTY(R,T,C);
DAM_TVOC(RXX(R,T,C),'LO') = MIN(DAM_TQTY(R,T,C),DAM_TVOC(R,T,C,'LO')+INF$(NOT DAM_TVOC(R,T,C,'LO')));
DAM_TVOC(RXX(R,T,C),'UP')$(NOT DAM_TVOC(R,T,C,'UP')) =
DAM_TVOC(R,T,C,'LO')*(1+((DAM_STEP(R,C,'UP')+0.5)/(DAM_STEP(R,C,'LO')+0.5)-1)$DAM_STEP(R,C,'LO'));
LOOP(RXX(R,T,C), F = DAM_STEP(R,C,'LO'); Z = DAM_STEP(R,C,'UP');
FIRST_VAL = DAM_TVOC(R,T,C,'LO'); LAST_VAL = DAM_TVOC(R,T,C,'UP');
IF(F, DAM_SIZE(R,T,C,'FX') = 2*(FIRST_VAL-(FIRST_VAL*(4*Z+1)-LAST_VAL)/(1+Z*(4+1/F)));
ELSE DAM_SIZE(R,T,C,'FX') = FIRST_VAL+0.5*LAST_VAL/(Z+0.5));
);
DAM_SIZE(RXX(R,T,C),BDNEQ(BD))$DAM_STEP(R,C,BD) = MAX(0,(DAM_TVOC(R,T,C,BD)-0.5*DAM_SIZE(R,T,C,'FX')))/DAM_STEP(R,C,BD);
DAM_SIZE(RXX(R,T,C),'UP')$(NOT DAM_STEP(R,C,'LO')) = MAX(0,DAM_TVOC(R,T,C,'UP')/(DAM_STEP(R,C,'UP')+0.5));
DAM_SIZE(RXX(R,T,C),'N') = DAM_TQTY(R,T,C)-DAM_TVOC(R,T,C,'LO')+0.5*DAM_SIZE(R,T,C,'LO')$DAM_ELAST(R,C,'N');
DAM_COEF(RTCS_VARC(R,T,C,S))$((NOT DAM_COEF(R,T,C,S))$TRACKC(R,C)) = 1;
JSUBJ(JJ,J)$((ORD(J) LE ORD(JJ))$(ORD(JJ)<=100)) = YES;
* Set number of FX steps (any non-zero DAM_STEP(R,C,'N') disables endogenous damage)
DAM_STEP(TRACKC(R,C),'FX')$(DAM_STEP(R,C,'N') EQ 0) = 1+1$SUM(T$(DAM_SIZE(R,T,C,'N') GT 0),YES);
IF(CARD(DAM_COST)=0,SUM_OBJ('OBJDAM',ITEM)=0);
RTDAM(RXX(R,T,C)%SWX%)$(%SWTX%YES+WWDAM(C)) = YES;
*-----------------------------------------------------------------------------
SET OBV / OBJDAM /;
$IF %DAMAGE%==NO SUM_OBJ('OBJDAM',ITEM)=0;
$IF %VARMAC% $SET VAR %VAS%
$IF %DAMAGE%==NO $GOTO FINISH
*-----------------------------------------------------------------------------
* Emission balance equation
%EQ%_DAMAGE(RTC(%R_T%,C) %SOW%)$(SUM(RDCUR(R,CUR)$DAM_COST(R,T,C,CUR),1)$RTDAM(RTC%SWX%))..
SUM(DAM_NUM(R,C,JJ,BD),SUM(JSUBJ(JJ,J),%VAR%_DAM(R,T,C,BD,J %SOW%)))
=E= (
$IF %CLI%==YES SUM(CM_VAR(C),%VART%_CLITOT(CM_VAR,T%SWS%)$CM_KIND(CM_VAR)+%VAR%_CLIBOX(CM_VAR,T%SOW%)$(NOT CM_KIND(CM_VAR)))$(NOT RC(R,C)) +
SUM(COM_TS(RC(R,C),S),DAM_COEF(R,T,C,S)*%VAR%_COMNET(R,T,C,S %SOW%)$(NOT DAM_ELAST(R,C,'N')) +
DAM_COEF(R,T,C,S)*%VAR%_COMPRD(R,T,C,S %SOW%)$DAM_ELAST(R,C,'N'))
)$DAM_STEP(R,C,'FX');
$IF %DAMAGE%==NLP $GOTO NLPDAM
*-----------------------------------------------------------------------------
$LABEL LPDAM
* Damage cost equation
%2 %EQ%_OBJDAM(RDCUR(R,CUR)%SOW%)..
SUM(RTC(R,T,C)$(DAM_STEP(R,C,'FX')$DAM_COST(R,T,C,CUR)),
$IFI %STAGES%==YES SUM(SWW(SOW,WW)$(SW_TSW(SOW,T,WW)$(NOT WWDAM(C))+SWW(WW,SOW)$WWDAM(C)),
(SUM((DAM_NUM(R,C,JJ,'LO'),JSUBJ(JJ,J)),
(%VAR%_DAM(R,T,C,'LO',J%SWD%) + DAM_ELAST(R,C,'N')*%VAR%_DAM.UP(R,T,C,'LO',J%SWD%))*
((DAM_TQTY(R,T,C)-DAM_SIZE(R,T,C,'FX')/2-DAM_SIZE(R,T,C,'LO')*(ORD(JJ)-ORD(J)+.5))**DAM_ELAST(R,C,'LO') /
DAM_TQTY(R,T,C)**DAM_ELAST(R,C,'LO') + DAM_ELAST(R,C,'N')))$DAM_TQTY(R,T,C) +
%VAR%_DAM(R,T,C,'FX','1'%SWD%) * (1 + DAM_ELAST(R,C,'N')) +
SUM((DAM_NUM(R,C,JJ,'UP'),JSUBJ(JJ,J)),
%VAR%_DAM(R,T,C,'UP',J%SWD%) *
((DAM_TQTY(R,T,C)+DAM_SIZE(R,T,C,'FX')/2+DAM_SIZE(R,T,C,'UP')*(ORD(J)-.5))**DAM_ELAST(R,C,'UP') /
DAM_TQTY(R,T,C)**DAM_ELAST(R,C,'UP') + DAM_ELAST(R,C,'N')))$DAM_TQTY(R,T,C)
) * OBJ_PVT(R,T,CUR) *
$IFI NOT %STAGES%==YES DAM_COST(R,T,C,CUR)
$IFI %STAGES%==YES S_DAM_COST(R,T,C,CUR,'1',WW))
)
%3 =E= SUM(OBV,SUM_OBJ('OBJDAM',OBV)*%VAR%_OBJ(R,OBV,CUR %SOW%));
$GOTO BOUND
*=============================================================================
$LABEL NLPDAM
* Damage cost equation
%EQ%_OBJDAM(RDCUR(R,CUR)%SOW%)..
SUM(RTC(R,T,C)$(DAM_STEP(R,C,'FX')$DAM_COST(R,T,C,CUR)),
$IFI %STAGES%==YES SUM(SWW(SOW,WW)$(SW_TSW(SOW,T,WW)$(NOT WWDAM(C))+SWW(WW,SOW)$WWDAM(C)),
(DAM_TVOC(R,T,C,'N')*(%VAR%_DAM(R,T,C,'FX','2'%SWD%)+DAM_SIZE(R,T,C,'N')*DAM_ELAST(R,C,'N')) +
(((%VAR%_DAM(R,T,C,'LO','1'%SWD%)+DAM_SIZE(R,T,C,'N'))**(DAM_ELAST(R,C,'LO')+1) +
* Subtract full LO costs if DAM_ELAST(N) = -1 (constant term)
DAM_ELAST(R,C,'N')*DAM_TQTY(R,T,C)**(DAM_ELAST(R,C,'LO')+1) -
DAM_SIZE(R,T,C,'N')**(DAM_ELAST(R,C,'LO')+1)) /
(DAM_TQTY(R,T,C)**DAM_ELAST(R,C,'LO')*(DAM_ELAST(R,C,'LO')+1)))$DAM_STEP(R,C,'LO') +
(((%VAR%_DAM(R,T,C,'UP','1'%SWD%)+DAM_TQTY(R,T,C))**(DAM_ELAST(R,C,'UP')+1) -
DAM_TQTY(R,T,C)**(DAM_ELAST(R,C,'UP')+1)) /
(DAM_TQTY(R,T,C)**DAM_ELAST(R,C,'UP')*(DAM_ELAST(R,C,'UP')+1))) +
* Shift cost curve by DAM_ELAST(N) if applicable
DAM_ELAST(R,C,'N')*(SUM(BDNEQ(BD),%VAR%_DAM(R,T,C,BD,'1'%SWD%))+DAM_ELAST(R,C,'N')*DAM_TQTY(R,T,C))
) * OBJ_PVT(R,T,CUR) *
$IFI NOT %STAGES%==YES DAM_COST(R,T,C,CUR)
$IFI %STAGES%==YES S_DAM_COST(R,T,C,CUR,'1',WW))
)
=E= SUM(OBV,SUM_OBJ('OBJDAM',OBV)*%VAR%_OBJ(R,OBV,CUR %SOW%));
*-----------------------------------------------------------------------------
$LABEL BOUND
$IF %DAMAGE%==NLP $GOTO BDNLP
* Set bounds for damage variables:
LOOP(SAMEAS(J,'1'),DAM_NUM(TRACKC(R,C),J+(DAM_STEP(R,C,BD)-1),BD) = YES);
%VAR%_DAM.UP(R,T,C,BD,J %SWD%) = INF;
%VAR%_DAM.UP(RTC(R,T,C),'LO',J%SOW%)$((ORD(J) LE DAM_STEP(R,C,'LO'))$RTDAM(RTC%SWX%)) = DAM_SIZE(RTC,'LO');
%VAR%_DAM.UP(RTC(R,T,C),'LO','1'%SOW%)$(DAM_ELAST(R,C,'N')$RTDAM(RTC%SWX%)) = DAM_SIZE(RTC,'LO')+DAM_TQTY(RTC)-DAM_TVOC(RTC,'LO');
%VAR%_DAM.UP(RTC(R,T,C),'UP',J%SOW%)$((ORD(J) LT DAM_STEP(R,C,'UP'))$RTDAM(RTC%SWX%)) = DAM_SIZE(RTC,'UP');
%VAR%_DAM.UP(RTC(R,T,C),'FX','1'%SOW%)$(DAM_TVOC(RTC,'UP')$RTDAM(RTC%SWX%)) = DAM_SIZE(RTC,'FX');
%VAR%_DAM.UP(RTC(R,T,C),'FX','2'%SOW%)$RTDAM(RTC%SWX%) = DAM_SIZE(RTC,'N')$(NOT DAM_ELAST(R,C,'N'));
$GOTO FINISH
*-----------------------------------------------------------------------------
$LABEL BDNLP
* Set bounds for damage variables:
DAM_STEP(TRACKC,BDNEQ) = 1;
LOOP(SAMEAS(J,'1'),DAM_NUM(TRACKC(R,C),J+(DAM_STEP(R,C,BD)-1),BD) = YES);
%VAR%_DAM.UP(R,T,C,BD,J %SWD%) = INF;
%VAR%_DAM.UP(RTC(R,T,C),'LO','1'%SOW%)$RTDAM(RTC%SWX%) = (DAM_TQTY(RTC)-DAM_SIZE(RTC,'N'))$DAM_STEP(R,C,'LO');
%VAR%_DAM.UP(RTC(R,T,C),'FX','1'%SOW%)$RTDAM(RTC%SWX%) = EPS;
%VAR%_DAM.UP(RTC(R,T,C),'FX','2'%SOW%)$RTDAM(RTC%SWX%) = DAM_SIZE(RTC,'N');
*-----------------------------------------------------------------------------
$LABEL FINISH
*-----------------------------------------------------------------------------
OPTION CLEAR=TRACKC,CLEAR=RXX,CLEAR=DAM_TVOC;
DAM_TVOC(R,T,C,'N')$DAM_SIZE(R,T,C,'N') = ((DAM_SIZE(R,T,C,'N')/DAM_TQTY(R,T,C))**DAM_ELAST(R,C,'LO'))$DAM_ELAST(R,C,'N');