Distributed Generalized Nash Equilibrium Seeking for NonMonotone Energy Sharing Games
Abstract
With the proliferation of distributed generators and energy storage systems, traditional passive consumers in power systems have been gradually evolving into the socalled "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 reveal by proof that the GNG is generally not monotone. In such a situation, the pseudogradient of the disutilities is not monotone, which makes existing methods inapplicable. To overcome this obstacle, we convert the GNG into an equivalent optimization problem. A Krasnosel'ski{ǐ}Mann iteration type algorithm is thereby devised to solve the problem and consequently find the GNE in a distributed manner. We further prove the convergence of the proposed distributed algorithm 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 123 prosumers.
 Publication:

arXiv eprints
 Pub Date:
 November 2019
 arXiv:
 arXiv:1911.02862
 Bibcode:
 2019arXiv191102862W
 Keywords:

 Electrical Engineering and Systems Science  Systems and Control