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Dynamic Games and Applications

Erschienen in:

22.05.2020

Coupling a Power Dispatch Model with a Wardrop or Mean-Field-Game Equilibrium Model

verfasst von: F. Babonneau, R. T. Foguen, A. Haurie, R. Malhamé

Erschienen in: Dynamic Games and Applications | Ausgabe 2/2021

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Abstract

In this paper, we propose an approach for coupling a power network dispatch model, which is part of a long-term multi-energy model, with Wardrop or Mean-Field-Game (MFG) equilibrium models that represent the demand response of a large population of small “prosumers” connected at the various nodes of the electricity network. In a deterministic setting, the problem is akin to an optimization problem with equilibrium constraints taking the form of variational inequalities or nonlinear complementarity conditions. In a stochastic setting, the problem is formulated as a robust optimization with uncertainty sets informed by the probability distributions resulting from an MFG equilibrium solution. Preliminary numerical experimentations, using heuristics mimicking standard price adjustment techniques, are presented for both the deterministic and stochastic cases.

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Titel: Coupling a Power Dispatch Model with a Wardrop or Mean-Field-Game Equilibrium Model
verfasst von: F. Babonneau
R. T. Foguen
A. Haurie
R. Malhamé
Publikationsdatum: 22.05.2020
Verlag: Springer US
Erschienen in: Dynamic Games and Applications / Ausgabe 2/2021
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI: https://doi.org/10.1007/s13235-020-00357-w

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