Enable Microgrid Energy Management: A Graph Based Aggregative Game Approach

With the rising adoption of distributed and intermittent renewable energy sources, microgrids have emerged as a promising solution to the resulting challenges. Specifically, microgrids could rely on energy storage systems (ESSs) to balance power generation and varying loads. However, an increased number of ESSs, if not well coordinated, can lead to an increase in system operation costs. To overcome this issue, we adopt a graph-based aggregative game to regulate the charging and discharging strategies of multiple ESSs. We show the existence and uniqueness of the Nash equilibrium (NE) and propose the corresponding Graph-based Aggregative Charging Tracking (GACT) distributed algorithm to compute NE with a linear convergence rate. Our algorithm leverages existing communication resources efficiently and protects the private charging information of ESSs. Numerical experiments demonstrate the effectiveness of our proposed algorithm.