随着新能源在电网中所占比例的不断增加，仅依赖火电机组难以满足新型电力系统的高质量调频需求，因此提出了一种基于主从博弈理论的风-光-水-火多源调频系统容量分配方法，该方法在确保电网调频安全性的同时兼顾了电网的经济性。该文所提方法将火电机组作为上层领导者，风-光-水机组作为下层跟随者，求解参与调频各机组在完成调频任务时的最优交互策略。首先，将参与调频各机组的调频特性嵌入到主从博弈框架下，建立风-光-水-火多源调频系统的主从博弈模型。其次，通过求解主从博弈模型得到参与调频各机组的最优调频容量。然后，采用改进的Shapley值法对风-光-水机组的调频收益进行优化。最后，通过算例验证该文所提方法的有效性。结果表明，与已有方法相比主从博弈方法能够使参与调频各机组的调频容量分配更加合理同时增加了参与调频各机组的调频收益。

With the increasing proportion of new energy in the power grid, it is difficult to meet the high-quality frequency modulation requirements of the power system only relying on traditional thermal power units. A capacity allocation method of the wind-photovoltaic-hydropower-thermal multi-source frequency modulation system based on the stackelberg game theory was proposed. This method ensures the safety of power grid frequency regulation while also taking into account the economy. Firstly, the thermal power unit was taken as the leader and the wind-photovoltaic-hydropower units were regarded as the followers. Secondly, by solving the stackelberg game model, the optimal frequency regulation capacity of each unit participating in frequency regulation was obtained. Then, the improved Shapley value method was used to optimize the revenue of the wind-photovoltaic-hydropower units. Finally, the effectiveness of the proposed method was verified. The result indicates that, compared with existing methods, the stackelberg game model can improve the allocation of frequency regulation capacity for each unit participating in frequency regulation, making it more reasonable and increasing the revenue of the frequency regulation.