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A rational decentralized generalized Nash equilibrium seeking for energy markets

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  • Lorenzo Nespoli
  • Matteo Salani
  • Vasco Medici

Abstract

We propose a method to design a decentralized energy market which guarantees individual rationality (IR) in expectation, in the presence of system-level grid constraints. We formulate the market as a welfare maximization problem subject to IR constraints, and we make use of Lagrangian duality to model the problem as a n-person non-cooperative game with a unique generalized Nash equilibrium (GNE). We provide a distributed algorithm which converges to the GNE. The convergence and properties of the algorithm are investigated by means of numerical simulations.

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  • Lorenzo Nespoli & Matteo Salani & Vasco Medici, 2018. "A rational decentralized generalized Nash equilibrium seeking for energy markets," Papers 1806.01072, arXiv.org.
    • Handle: RePEc:arx:papers:1806.01072
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    References listed on IDEAS

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