Title: Nash game-based optimisation strategy for power-heat-cooling interactive shared operation of multiple microgrids

Authors: Hongbin Sun; Jianfeng Jia; Jingya Wen; Lei Kou

Addresses: School of Electrical Engineering, Changchun Institute of Technology, Changchun 130012, China ' School of Electrical Engineering, Changchun Institute of Technology, Changchun 130012, China ' State Key Laboratory of Physical Oceanography, China; Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), China ' State Key Laboratory of Physical Oceanography, China; Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), China

Abstract: The sharing of energy interactions within a multi-microgrid system can enhance the stability and reliability of system operations. This paper proposes an optimisation strategy for electricity-heat-cooling interaction sharing in multi-microgrids based on the Nash game. A cooperative microgrid model integrating electricity-heat-cooling systems is constructed, incorporating a combined heat and power (CHP) unit with carbon capture and an electricity-to-gas device. Subsequently, a multi-microgrid electricity-heat-cooling interaction sharing model is developed. This model is decomposed into two sub-problems: maximising the benefits of the microgrid alliance and redistributing cooperative benefits. The alternating direction method of multipliers (ADMM) is employed to solve these problems, effectively protecting the privacy of the microgrid entities. For the redistribution of cooperative benefits, an asymmetric mapping function is utilised to calculate each microgrid's contribution, and the benefits are equitably redistributed based on these contributions. Finally, simulation results confirm the effectiveness of the proposed method, demonstrating that the multi-microgrid electric-heat-cold interaction sharing strategy maximises the alliance's benefits and equitably allocates them according to the contribution of each microgrid.

Keywords: Nash game; electricity-to-gas conversion; carbon capture; electricity-heat-cooling interaction; ADMM.

DOI: 10.1504/IJBIC.2025.149587

International Journal of Bio-Inspired Computation, 2025 Vol.26 No.3, pp.131 - 144

Received: 14 Nov 2024
Accepted: 06 May 2025
Published online: 07 Nov 2025 *

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