Optimizing power generation in the presence of micro-grids

Wim van Ackooij 1 Jérôme de Boeck 2 Boris Detienne 3 Stefania Pan 4 Michael Poss 5
3 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
5 MAORE - Méthodes Algorithmes pour l'Ordonnancement et les Réseaux
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : In this paper we consider energy management optimization problems in a future wherein an interaction with micro-grids has to be accounted for. We will model this interaction through a set of contracts between the generation companies owning centralized assets and the micro-grids. We will formulate a general stylized model that can, in principle, account for a variety of management questions such as unit-commitment. The resulting model, a bilevel stochastic mixed integer program will be numerically tackled through a novel preprocessing procedure. As a result the solution for the bilevel (or single leader multiple follower) problem will be neither " optimistic " nor " pessimistic ". We will numerically evaluate the difference of the resulting solution with the " optimistic " solution. We will also demonstrate the efficiency and potential of our methodology on a set of numerical instances.
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Wim van Ackooij, Jérôme de Boeck, Boris Detienne, Stefania Pan, Michael Poss. Optimizing power generation in the presence of micro-grids. European Journal of Operational Research, Elsevier, 2018, 271 (2), pp.450-461. ⟨10.1016/j.ejor.2018.05.042⟩. ⟨hal-01836057⟩

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