Distributed Generalized Nash Equilibrium Seeking for Energy Sharing Games in Prosumers.

Zhaojian Wang, Feng Liu, Zhiyuan Ma, Yue Chen, Mengshuo Jia, Wei Wei, Qiuwei Wu

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    Abstract

    With the proliferation of distributed generators and energy storage systems, traditional passive consumers in power systems have been gradually evolving into the so-called “prosumers”, i.e., proactive consumers, which can both produce and consume power. To encourage energy exchange among prosumers, energy sharing is increasingly adopted, which is usually formulated as a generalized Nash game (GNG). In this paper, a distributed approach is proposed to seek the Generalized Nash equilibrium (GNE) of the energy sharing game. To this end, we first prove the strong monotonicity of the game. Then, the GNG is converted into an equivalent optimization problem. An algorithm based on Nesterov’s methods is thereby devised to solve the equivalent problem and consequently find the GNE in a distributed manner. The convergence of the proposed algorithm is proved rigorously based on the nonexpansive operator theory. The performance of the algorithm is validated by experiments with three prosumers, and the scalability is tested by simulations using 1888 prosumers.
    Original languageEnglish
    JournalIEEE Transactions on Power Systems
    Volume36
    Issue number5
    Pages (from-to)3973 - 3986
    ISSN0885-8950
    DOIs
    Publication statusPublished - 2021

    Keywords

    • Energy sharing
    • Prosumer
    • Distributed algorithm
    • Generalized Nash game
    • Generalized Nash equilibrium (GNE)

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