提出了一种协调电力系统稳定器和静止无功补偿器参数优化设计的数学模型,其目标函数是故障后各台发电机的转速和装设静止无功补偿器的节点电压变化量的加权和,不等式约束包括各个控制器参数的变化范围限制.通过计算发电机转速和无功补偿节点电压变化量对各控制器参数的轨迹灵敏度,获得目标函数对各控制器参数的梯度,加快了收敛速度,有利于寻找最优解.目标函数中加入阻尼功角振荡和降低电压波动的因素,兼顾了系统功角稳定性和电压稳定性.在3机9节点和10机39节点系统的仿真表明,该方法能有效抑制低频振荡,提高暂态稳定性和小干扰稳定性,并降低故障后的电压波动.

Proposed in this paper is a mathematical model to coordinate the parameter optimal design of power system stabilizer（PSS） and static var compensator（SVC）.In this model,the objective function is obtained by weighting both the rotor speed of each generator and the voltage change of the nodes equipped with SVCs,and the inequality constraints are determined as the ranges of PSS and SVC parameters.By calculating the trajectory sensitivities of the rotor speed and voltage change to the control parameters,the gradients of the objective function to PSS and SVC parameters are evaluated,which accelerates the convergence and helps to search the optimal solution.Moreover,by inducing damping power angle oscillation and voltage-reducing factors in the objective function,both the power angle stability and the voltage stability are guaranteed.Simulations in 3-machine 9-bus and 10-machine 39-bus systems show that the proposed method effectively damps low-frequency power oscillation,improves the transient and the small-signal stabilities,and decreases the post-fault voltage fluctuation of the bus.