To eliminate voltage violations resulting from load disturbances, this paper proposes a coordinated secondary voltage control (CSVC) method considering reactive power coupling among multiple zones. The novelty of this method lies in solving the CSVC problem from the perspective of game theory. Specifically, the CSVC model considering coupling reactive power is described as a Cournot model, where the players are the zone controllers with the objective to minimize voltage violations, and the strategy of each zone controller is the reactive power regulation vector of the controlled generators. Thus, the Nash-Cournot equilibrium is the best control strategy of CSVC. Furthermore, the payoff function is convex, and the constraints are linear. Such a CSVC game can guarantee that the Nash equilibrium always exists and is unique. As another contribution of this work, the best response functions of each control zone are derived based on Karush–Kuhn–Tucker optimality conditions, and then the Nash-Cournot equilibrium can be found quickly by using the Newton-Raphson method to solve all the best response functions simultaneously. Computational results on the IEEE 39-bus system and a real provincial power system show the good control performance and efficiency of CSVC in terms of regulating the voltage and avoiding control oscillation.

为了消除由负载干扰引起的电压违规，本文提出了一种考虑多个区域之间无功功率耦合的协调二次电压控制（CSVC）方法。这种方法的新颖之处在于从博弈论的角度解决CSVC问题。具体而言，将考虑耦合无功功率的CSVC模型描述为古诺模型，其中参与者是区域控制器，其目标是最大程度地减少电压违规，每个区域控制器的策略是受控发电机的无功调节矢量。因此，纳什古诺均衡是CSVC的最佳控制策略。此外，收益函数是凸的，约束是线性的。这样的CSVC博弈可以确保纳什均衡始终存在并且是唯一的。这项工作的另一个贡献是，根据Karush–Kuhn–Tucker最优性条件推导了每个控制区的最佳响应函数，然后可以使用Newton-Raphson方法快速求解所有纳什库尔诺均衡。同时响应功能。在IEEE 39总线系统和实际省级电力系统上的计算结果表明，在调节电压和避免控制振荡方面，CSVC具有良好的控制性能和效率。