Research on the optimal power allocation of large-scale distributed generator (DG) units based on user power generation to access microgrids (MGs) in a multi-agent system framework has recently become the focus of modern grid and energy concerns. In this paper, according to the Cournot oligopoly game, the Nash equilibrium point between the power generation company and power generation user of the MG operating in island mode is obtained. According to the obtained Nash equilibrium point, the optimal ratio of power generated by the power generation company and by the power generation user in the model is calculated. At the same time, to achieve the maximum benefit and stable operation of the MG, a distributed cooperative control algorithm based on consensus theory is proposed. This control algorithm can cause each DG to generate power according to the total consumption load. The optimal power generation ratio distribution based on the Nash equilibrium point eliminates the steady-state frequency deviation of each DG in the MG, thereby ensuring the user’s power quality. The simulation results show that the control algorithm can achieve the above research goals.

在多智能体系统框架中，基于用户发电访问微电网（MG）的大型分布式发电机（DG）单元的最佳功率分配研究已成为现代电网和能源关注的焦点。在本文中，根据古诺寡头博弈，获得了以孤岛模式运营的MG的发电公司与发电用户之间的纳什均衡点。根据获得的纳什均衡点，计算模型中发电公司和发电用户发电的最优比例。同时，为实现MG的最大利益和稳定运行，提出了一种基于共识理论的分布式协同控制算法。该控制算法可以使每个DG根据总消耗负荷来发电。基于纳什均衡点的最优发电比分布消除了MG中每个DG的稳态频率偏差，从而确保了用户的电能质量。仿真结果表明，该控制算法可以达到上述研究目的。