We apply the JuDGE optimization package to a multistage stochastic leader–follower model that determines a transmission capacity expansion plan to maximize expected social welfare of consumers and producers who act as Cournot oligopolists in each time period. The problem is formulated as a large-scale mixed integer programme and applied to a 5-bus instance over scenario trees of varying size. The computational effort required by JuDGE is compared with solving the deterministic equivalent mixed integer programme using a state-of-the-art integer programming package.
Palabras Clave: stochastic optimization, JuDGE, transmission expansion planning, bilevel programming
Índice de impacto JCR y cuartil WoS: 3.275 - Q2 (2019)
Referencia DOI: 10.1098/rsta.2019.0436
Publicado en papel: Julio 2021.
Publicado on-line: Junio 2021.
S. Wogrin, D.A. Tejada, A. Downward, A.B. Philpott. Welfare-maximizing transmission capacity expansion under uncertainty. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. Vol. 379, nº. 2202, pp. 20190436-1 - 20190436-22 Julio 2021. [Online: Junio 2021]