A. Marin et J. Salmeron, ELECTRIC CAPACITY EXPANSION UNDER UNCERTAIN DEMAND - DECOMPOSITION APPROACHES, IEEE transactions on power systems, 13(2), 1998, pp. 333-339
We present a stochastic modeling for electric capacity expansion plann
ing under uncertainty in demand. The goal of this problem is to determ
ine the most interesting investments (plants and capacity levels) over
the considered planning time (up to several years). Periods are divid
ed into smaller subperiods (e.g. weekly or monthly) for which demand i
s assumed uncertain and modeled as a continuous probability distributi
on function. This leads to consider the risk associated to each decisi
on for the capacity to be used (electricity generation). A first appro
ach as a non-linear continuous model is presented. Benders Decompositi
on, and Lagrangean Relaxation-Decomposition are proposed as solving me
thods, where the structures of the related subproblems are exploited t
o speed up the convergence. We provide a large computational experienc
e and comparisons within these methods and other general purpose optim
ization packages, and focus the report in the advantages of each.