A Grid-Generator-Electrolytic Aluminum Multi-Agent Cooperative Game Model Based on Nash Negotiation Theory

In order to realize the local consumption of surplus electric energy, this paper proposes a multi-agent cooperative game model of power grid-generator-electrolytic aluminum based on Nash negotiation theory. The operation characteristics of the power grid, generator, and electrolytic aluminum are considered in the modeling of each agent. Then, a cooperative game framework considering electricity trading is further constructed based on Nash negotiation theory. Finally, a series of linearization methods are used to transform the complex problem into the mixed integer linear programming (MILP), which can be effectively solved by commercial solver. In the case studies, based on the actual situation of Yunnan power grids, a comparative analysis of the impact of cooperative and non-cooperative frameworks on multi-agents proves the feasibility of the cooperative game framework. Finally, the cooperative game model is applied to different provinces to verify its universality.