Distributed Generalized Nash Equilibrium Seeking for Energy Sharing Games in Prosumers

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