- Page 1 and 2: Energy Technology Systems Analysis
- Page 3 and 4: PART II: REFERENCE MANUAL 3
- Page 5 and 6: 4.11.8 ELASTCOST(r,y) .............
- Page 7 and 8: 7.4 Climate Equations .............
- 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: 2.2 User input sets The user input
- 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
- Page 59 and 60: Input parameter (Indexes) 21 FLO_BN
- Page 61 and 62: Input parameter (Indexes) 21 FLO_FR
- Page 63 and 64: Input parameter (Indexes) 21 FLO_MA
- Page 65 and 66: 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
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For convenience, we repeat below th
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EQ_OBJ(z) ∋ z ∈ MODELYEARS VAR
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additions or subtractions to capaci
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Case 1.b Example D=5, TLIFE=4, ELIF
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Case 2.b: ILED > ILED and TLIFE + I
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c) At decommissioning time, the rec
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Example III.1.b D=5, TLIFE=4 DLIFE=
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For I = 1 to C For J= 1 to For P sa
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Case 1.a) If ILED ≤ ILED and TLIF
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Case 2.a: ILED > ILED and ILED + TL
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Case 2.b: ILED > ILED and TLIFE + I
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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 +
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Case 2.b: ILED > ILED and TLIFE + I
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• 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 ( ) ( ) ⎥ ⎥ ⎥ ⎥ ⎥ ⎥
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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
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255 ( ) ( ) ∑ ∈ − − + ⎟
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257 ( ) ( ) ∑ ∑ ∑ + ∈ ∈
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259 ( ) ⎟ ⎟⎟⎟⎟⎟⎟⎟
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261 ∑( ) ∑ ∑ ∈ + + ∈ ∈
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263 ( ) ' ,' 1, , ' ,' 1, , ' ,' 1,
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265 ( ) ' ,' 1, , ' ,' 1, , ' ,' 1,
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VAR _ UCTS + ∑ r∈ uc_r_sum r, t
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269 ( ) ( ) ∑ − ∈ − − −
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5.3.22.11 Equation: EQ(l)_UCSU / EQ
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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
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6 The Endogenous Technological Lear
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Input Parameter (Indexes) SC0 (r,p)
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Table 6.2. ETL-specific matrix coef
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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
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∑ ( > 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:
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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
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7.7 GAMS implementation All require
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Reporting parameters PARAMETER CM_D
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Since these attributes are only cre