Documentation for the MARKAL Family of Models - iea-etsap

Capital in period t+1.
R _ K
r,
t+ 1
4.3.5 MR_MPEN(r,p,t)
Description:
Purpose and
Occurrence:
Decomposes the increase in capacity of a technology into two variables, the first
being the “normal” amount of capacity increase, the second being the amount of
capacity increase subject to extra penalty costs. See also equation XCAPBD.
To determine cost when the market penetration penalty kicks in.
This equation is generated in each region for each technology subject to the
market penetration penalty, in each period.
GAMS Routine: MMEQUA.MM (single-region), MMEQUAMM.REG (multi-region).
MATHEMATICAL DESCRIPTION
EQ#MM.5:MR_MPEN
r,
p,
t+
1
Total installed capacity in period t+1.
⎛CAPTBr
⎜
$ ⎜ r
⎜
⎝
, p
∧
( QFAC ≠ 0)
∧
( COST_
INV ) ⎟⎟⎟ r,
t+
1, t+
1, p ⎠
⎞
{} ≤
R _ CAP r , t+
1 , p
The two components of capacity: normal expansion plus expansion subject to
penalty.
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