Sets and Parameters - iea-etsap

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5.3.17 Equations: EQ(l)_INSHR, EQ(l)_OUTSHR .......................................................................... 227 5.3.18 Equation: EQ_PEAK .............................................................................................................. 223 5.3.19 Equation: EQ_PTRANS ......................................................................................................... 226 5.3.20 Equation: EQ_STGTSS/IPS ................................................................................................... 229 5.3.20.1 EQ_SRGTSS: Storage between timeslices (including night-storage devices): ................. 230 5.3.20.2 EQ_STGIPS: Storage between periods ............................................................................. 231 5.3.21 Equations: EQ(l)_STGIN / EQ(l)_STGOUT ......................................................................... 232 5.3.22 User Constraints ..................................................................................................................... 233 5.3.22.1 Equation: EQ(l)_UC / EQE_UC ........................................................................................ 247 5.3.22.2 Equation: EQ(l)_UCR / EQE_UCR .................................................................................. 248 5.3.22.3 Equation: EQ(l)_UCT / EQE_UCT ................................................................................... 249 5.3.22.4 Equation: EQ(l)_UCRT / EQE_UCRT ............................................................................. 250 5.3.22.5 Equation: EQ(l)_UCRTS / EQE_UCRTS ......................................................................... 251 5.3.22.6 Equation: EQ(l)_UCTS / EQE_UCTS .............................................................................. 252 5.3.22.7 Equation: EQ(l)_UCSU / EQE_UCSU ............................................................................. 260 5.3.22.8 Equation: EQ(l)_UCRSU / EQE_UCRSU ........................................................................ 262 5.3.22.9 Equation: EQ(l)_UCRSUS / EQE_UCRSU ...................................................................... 264 5.3.22.10 Equation: EQ(l)_UCSUS / EQE_UCSUS ....................................................................... 266 5.3.22.11 Equation: EQ(l)_UCSU / EQE_UCSU ........................................................................... 271 5.3.22.12 Equation: EQ(l)_UCRSU / EQE_UCRSU ...................................................................... 273 5.3.22.13 Equation: EQ(l)_UCRSUS / EQE_UCRSU .................................................................... 275 5.3.22.14 Equation: EQ(l)_UCSUS / EQE_UCSUS ....................................................................... 277 6 THE ENDOGENOUS TECHNOLOGICAL LEARNING (ETL) OPTION ...... 279 6.1 Sets, Switches and Parameters ...................................................................................................... 279 6.2 Variables ......................................................................................................................................... 285 6.2.1 VAR_CCAP(r,t,p) .................................................................................................................. 286 6.2.2 VAR_CCOST(r,t,p) ................................................................................................................ 286 6.2.3 VAR_DELTA(r,t,p,k) ............................................................................................................ 287 6.2.4 VAR_IC(r,t,p) ........................................................................................................................ 287 6.2.5 VAR_LAMBD(r,t,p,k) ........................................................................................................... 288 6.3 Equations ........................................................................................................................................ 289 6.3.1 EQ_CC(r,t,p) .......................................................................................................................... 291 6.3.2 EQ_CLU(r,t,p) ........................................................................................................................ 292 6.3.3 EQ_COS(r,t,p) ........................................................................................................................ 293 6.3.4 EQ_CUINV(r,t,p) ................................................................................................................... 295 6.3.5 EQ_DEL(r,t,p) ........................................................................................................................ 296 6.3.6 EQ_EXPE1(r,t,p,k) ................................................................................................................. 297 6.3.7 EQ_EXPE2(r,t,p,k) ................................................................................................................. 298 6.3.8 EQ_IC1(r,t,p).......................................................................................................................... 299 6.3.9 EQ_IC2(r,t,p).......................................................................................................................... 300 6.3.10 EQ_LA1(r,t,p,k) ..................................................................................................................... 301 6.3.11 EQ_LA2(r,t,p,k) ..................................................................................................................... 302 6.3.12 EQ_OBJSAL(r,cur) ................................................................................................................ 303 6.3.13 EQ_OBJINV(r,cur) ................................................................................................................ 304 7 THE TIMES CLIMATE MODULE ................................................................ 305 7.1 Formulation of the TIMES Climate Module ............................................................................... 305 7.1.1 Approach taken ....................................................................................................................... 305 7.1.1.1 Concentrations (accumulation of CO2) ............................................................................. 306 7.1.1.2 Radiative forcing ............................................................................................................... 306 7.1.1.3 Temperature increase ......................................................................................................... 307 7.2 Input parameters of the Climate Module .................................................................................... 308 7.3 Climate related Variables .............................................................................................................. 310 7.3.1 VAR_CO2TOT(t) .................................................................................................................. 310 7.3.2 VAR_CO2ATM(t), VAR_CO2UP(t), VAR_CO2LOW(t) .................................................... 310 6
7.4 Climate Equations .......................................................................................................................... 310 7.4.1 Equation: EQ_CO2TOT ......................................................................................................... 310 7.4.2 Equation: EQ_CO2ATM ........................................................................................................ 311 7.4.3 Equation: EQ_CO2UP............................................................................................................ 312 7.4.4 Equation: EQ_CO2LOW ........................................................................................................ 313 7.4.5 Equation: EQ_MXCONC ....................................................................................................... 315 7.5 Reporting Parameters.................................................................................................................... 316 7.5.1 DT_FORC .............................................................................................................................. 316 7.5.2 DT_ATM ................................................................................................................................ 317 7.5.3 DT_LOW ............................................................................................................................... 318 7.6 Default values of the climate parameters ..................................................................................... 320 7.7 GAMS implementation .................................................................................................................. 321 7.7.1 Specification of parameters .................................................................................................... 321 7.7.2 Climate related Variables ....................................................................................................... 323 7.7.3 Equations ................................................................................................................................ 323 7.7.4 Example of use ....................................................................................................................... 324 7.7.5 Exporting results to VEDA4................................................................................................... 324 7.8 References for chapter 7 ................................................................................................................ 325 7
Page 1 and 2: Energy Technology Systems Analysis
Page 3 and 4: PART II: REFERENCE MANUAL 3
Page 5: 4.11.8 ELASTCOST(r,y) .............
Page 9 and 10: hand side term being smaller or equ
Page 11 and 12: PRW, STG and STK are used within th
Page 13 and 14: Index 4 Aliases 5 Related Indexes 6
Page 15 and 16: 2.2 User input sets The user input
Page 17 and 18: via the set prc_map(r,prc_grp,p). T
Page 19 and 20: The conversion factor from capacity
Page 21 and 22: pastyears are by default included i
Page 23 and 24: Figure 6: Example of a timeslice tr
Page 25 and 26: Supply regions Demand regions Regio
Page 27 and 28: Table 4: User input sets in TIMES S
Page 29 and 30: Set ID/Indexes 14 Alias 15 Descript
Page 31 and 32: Set ID/Indexes 14 Alias 15 Descript
Page 33 and 34: Set ID 17 Indexes 18 obj_1b (r,v,p)
Page 35 and 36: Set ID 17 Indexes 18 rp_pgtype (r,p
Page 37 and 38: Set ID 17 Indexes 18 rtps_off (r,t,
Page 39 and 40: Default inter/extrapolation The def
Page 41 and 42: Log-linear interpolation means that
Page 43 and 44: The pre-processor supports differen
Page 45 and 46: Table 12: User input parameters in
Page 47 and 48: Input parameter (Indexes) 21 CCAP0
Page 49 and 50: Input parameter (Indexes) 21 COM_BP
Page 51 and 52: Input parameter (Indexes) 21 (r,y1,
Page 53 and 54: Input parameter (Indexes) 21 COM_IE
Page 55 and 56: Input parameter (Indexes) 21 COM_ST
Page 57 and 58:
Input parameter (Indexes) 21 COM_SU
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Input parameter (Indexes) 21 FLO_BN
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Input parameter (Indexes) 21 FLO_FR
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Input parameter (Indexes) 21 FLO_MA
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Input parameter (Indexes) 21 FLO_SU
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Input parameter (Indexes) 21 G_DRAT
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Input parameter (Indexes) 21 G_NOIN
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Input parameter (Indexes) 21 Relate
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Input parameter (Indexes) 21 IRE_PR
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Input parameter (Indexes) 21 IRE_TS
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Input parameter (Indexes) 21 NCAP_A
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Input parameter (Indexes) 21 NCAP_B
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Input parameter (Indexes) 21 NCAP_D
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Input parameter (Indexes) 21 NCAP_D
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Input parameter (Indexes) 21 NCAP_F
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Input parameter (Indexes) 21 NCAP_F
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Input parameter (Indexes) 21 Relate
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Input parameter (Indexes) 21 NCAP_P
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Input parameter (Indexes) 21 NCAP_V
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Input parameter (Indexes) 21 PRC_CA
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Input parameter (Indexes) 21 SC0 (r
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Input parameter (Indexes) 21 STG_CH
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Input parameter (Indexes) 21 UC_ACT
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Input parameter (Indexes) 21 UC_RHS
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Input parameter (Indexes) 21 UC_RHS
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3.2 Internal parameters Table 13 gi
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Internal parameter 29 (Indexes) COE
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Internal parameter 29 (Indexes) OBJ
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Internal parameter 29 (Indexes) OBJ
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Internal parameter 29 (Indexes) RS_
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Internal parameter 29 (Indexes) SAL
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Report parameter 32 (Indexes) CST_C
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Report parameter 32 (Indexes) PAR_C
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Report parameter 32 (Indexes) PAR_O
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4 Variables This chapter describes
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Category Variable name Brief descri
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4.2 VAR_BLND(r,ble,opr) Definition:
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similar to VAR_FLO for conventional
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4.11.4 INVDECOM(r,y) Definition: eq
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4.13.2 VAR_UCR(uc_n,r) Variable rep
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When a summation must be done over
Page 139 and 140:
For convenience, we repeat below th
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EQ_OBJ(z) ∋ z ∈ MODELYEARS VAR
Page 143 and 144:
additions or subtractions to capaci
Page 145 and 146:
Case 1.b Example D=5, TLIFE=4, ELIF
Page 147 and 148:
Case 2.b: ILED > ILED and TLIFE + I
Page 149 and 150:
c) At decommissioning time, the rec
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Example III.1.b D=5, TLIFE=4 DLIFE=
Page 153 and 154:
For I = 1 to C For J= 1 to For P sa
Page 155 and 156:
Case 1.a) If ILED ≤ ILED and TLIF
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Case 2.a: ILED > ILED and ILED + TL
Page 159 and 160:
Page 161 and 162:
In this subsection, the symbol VAR_
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Result 1 The salvage value (calcula
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Case 2.a: ILED > ILED and ILED + TL
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Case 1.a ILED ≤ ILED and TLIFE +
Page 169 and 170:
Page 171 and 172:
• The lump-sum decommissioning co
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Equation Name EQ_IREBND EQ_XBND EQ(
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5.3.2 Equation EQ(l)_ACTBND Indices
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5.3.4 Bound: BND_ELAST Indices: reg
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5.3.6 Equation: EQ(l)_CAPACT Indice
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Interpretation of the results: Prim
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COEF _ CPT r, v, t, p : if v = t
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185 Equation: ( ) ( ) [ ] ( ) [ ] {
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• NCAP_COM have an 'io' or should
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Storage of commodity ⎛ ⎜ ⎜
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Flow Coefficients related to proces
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Investment Related Flow Coefficient
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5.3.9 Equation: EQE_COMPRD Indices:
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Equation: EQ( l) _ CUMNET r, y1, y2
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5.3.12 Equation: EQ_DSCONE Indices:
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1. Market-share constraints can be
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5.3.14 Equation: EQ(l)_FLOBND Indic
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5.3.15 Equation: EQ(l)_FLOFR Indice
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Supply regions Demand regions R S1
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into the top_ire set. If there are
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(importing) regions for the same ex
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• Note that there is a one-to-one
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level ts of the exchange variable i
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217 Equation: Case A. Imports from
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5.3.16.3 Equation: EQ(l)_XBND Indic
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5.3.17 Equations: EQ(l)_INSHR, EQ(l
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5.3.18 Equation: EQ_PEAK Type: ≥
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225 ( ) ( ) ⎥ ⎥ ⎥ ⎥ ⎥ ⎥
Page 227 and 228:
Interpretation of the results: Prim
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5.3.20 Equation: EQ_STGTSS/IPS Indi
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231 5.3.20.2 EQ_STGIPS: Storage bet
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5.3.22 User Constraints Indexes: re
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User constraint uc_n Each Region Su
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EQ( l) _ UC Dynamic user constraint
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The growth constraints are now gene
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VAR_UC is set to YES, the user cons
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• UC _ COMPRD uc _ n, side, r, t,
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245 ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
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5.3.22.1 Equation: EQ(l)_UC / EQE_U
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5.3.22.3 Equation: EQ(l)_UCT / EQE_
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5.3.22.5 Equation: EQ(l)_UCRTS / EQ
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= Mathematical formulation of dynam
Page 255 and 256:
255 ( ) ( ) ∑ ∈ − − + ⎟
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257 ( ) ( ) ∑ ∑ ∑ + ∈ ∈
Page 259 and 260:
259 ( ) ⎟ ⎟⎟⎟⎟⎟⎟⎟
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261 ∑( ) ∑ ∑ ∈ + + ∈ ∈
Page 263 and 264:
263 ( ) ' ,' 1, , ' ,' 1, , ' ,' 1,
Page 265 and 266:
265 ( ) ' ,' 1, , ' ,' 1, , ' ,' 1,
Page 267 and 268:
VAR _ UCTS + ∑ r∈ uc_r_sum r, t
Page 269 and 270:
269 ( ) ( ) ∑ − ∈ − − −
Page 271 and 272:
5.3.22.11 Equation: EQ(l)_UCSU / EQ
Page 273 and 274:
5.3.22.12 Equation: EQ(l)_UCRSU / E
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5.3.22.13 Equation: EQ(l)_UCRSUS /
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5.3.22.14 Equation: EQ(l)_UCSUS / E
Page 279 and 280:
6 The Endogenous Technological Lear
Page 281 and 282:
Input Parameter (Indexes) SC0 (r,p)
Page 283 and 284:
Table 6.2. ETL-specific matrix coef
Page 285 and 286:
6.2 Variables The variables that ar
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6.2.3 VAR_DELTA(r,t,p,k) Descriptio
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6.3 Equations The equations that ar
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6.3.1 EQ_CC(r,t,p) Description: The
Page 293 and 294:
∑ ( > 0) p'$ CLUSTER r , p, p' (
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6.3.4 EQ_CUINV(r,t,p) Description:
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6.3.6 EQ_EXPE1(r,t,p,k) Description
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6.3.8 EQ_IC1(r,t,p) Description: Th
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6.3.10 EQ_LA1(r,t,p,k) Description:
Page 303 and 304:
6.3.12 EQ_OBJSAL(r,cur) Description
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7 The TIMES Climate Module This cha
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include in the calculation of O(t)
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EXOFOR(y): radiative forcing from N
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7.4.2 Equation: EQ_CO2ATM Indices:
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7.4.4 Equation: EQ_CO2LOW Indices:
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7.4.5 Equation: EQ_MXCONC Indices:
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7.5.2 DT_ATM Indices: milestoneyear
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Remark: The two temperature change
Page 321 and 322:
7.7 GAMS implementation All require
Page 323 and 324:
Reporting parameters PARAMETER CM_D
Page 325:
Since these attributes are only cre
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