Demand Response Analysis and Its Application to Smart Grids: A Evolutionary Game Method

Demand response (DR), as an effective strategy for power system load management in smart grids, provides a solution for efficient energy utilization and supply-demand balance. In this paper, the networked evolutionary game (NEG) theory and the semi-tensor product (STP) of matrices are used to model and control the DR problem of networked smart grid. The main research of this paper is as follows: (i) The DR, considering the strategies interaction between residential users and power company, is modeled as a special NEG model and represented in the form of state space equations by STP. (ii) The system stability is analyzed and a sufficient and necessary condition for the convergence of a profile to the target situation is given. The proposed methods provide a more effective solution to address the challenges of the future smart grids.