Low-carbon Operation Optimization Strategy For Electric-thermal Sharing In Multi-microgrid Based on Nash Game Theory

Against the backdrop of dual carbon objectives, promoting the effective use of new energy sources and achieving low-carbon operation in power systems are critical goals for power system reform. This paper begins by developing a model for multiple microgrids and integrating carbon capture and power-to-gas systems in combined heat and power (CHP) to minimize carbon emissions. Then, a cooperative model for multi-microgrid electricity and heat energy sharing is formulated using Nash game theory, decomposed into subproblems for maximizing cooperative alliance benefits and redistributing cooperative benefits. Finally, the subproblem of maximizing cooperative alliance benefits is further decomposed into two linearly solvable subproblems, solved using alternating direction method of multipliers. In the subproblem of redistributing cooperative benefits, analytic hierarchy process is employed to evaluate the contribution of each microgrid in electric-thermal sharing, ensuring fair distribution of cooperative benefits. Case studies validate that the proposed approach effectively enhances economic benefits for each microgrid and significantly reduces carbon emissions.