Documentation for the MARKAL Family of Models - iea-etsap

GAMS Routine: MMEQUA.MM (single-region), MMEQUAMM.REG (multi-region).
MATHEMATICAL DESCRIPTION
EQ# MM.7: MR_UTIL
Discounted utility of consumption.
∑
r,
t
{} =
⎡
⎢
⎢
⎢
⎢
⎢DFACT
⎢
⎢
⎢
⎢
⎢⎣
r,
t * log
⎧
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎩
, t **( KVPS r * RHO r )
( 1−
)*
)
⎛ ⎛ R _ K
⎜ ⎜ r
AKL
⎜ r *
⎜ L
⎜ ⎝ r , t ** KVPS r RHO r
⎜ ∑ ( B RHO )
⎜ r , d * R _ D r , d , t ** r
d
⎜
⎜
⎝
− R _ IV r , t − R _ EC r , t
* ⎞ ⎞
⎟+
⎟
⎟ ⎟
⎠ ⎟
⎟**1 /
⎟
⎟
⎟
⎠
RHO
RHS variable to be maximized corresponding to the utility of consumption.
( R _ UTILITY /1000)
$( MMSCALE
r
= .001) +
( R _ UTILITY /1000 * log(1000) ) $( MMSCALE = 1)
r
4.3.8 MR_XCAPBD(r,t,p)
Description:
Purpose and
Occurrence:
Further decomposition of the increase in capacity of a technology subject to
penalty into 3 variables, each bearing an increasing penalty cost coefficient in
equation COSTNRG. These three increasing penalty costs approximate the
quadratic penalty cost function
To establish the excess capacity limit.
This equation is generated in each region for each technology subject to the
market penetration penalty, in each period.
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