基于饱和系统理论的电力系统稳定器性能分析方法

利用二次型Lyapunov函数估计了含扰动饱和线性系统的实用稳定域和可承受的最大扰动量，同时通过求解多目标优化问题来减少估计的保守性。在此基础上结合矩阵的Schur补性质化简此优化问题，证明其Pareto最优解的一些性质并提出求解方法。进一步将该方法应用于电力系统，分析含扰动饱和PSS系统的控制性能。3机5节点的算例验证了该方法简单、容易实现且严格可靠。

A Method for Analyzing the Power System Stabilizer Performance Based on the Theory of Saturated System

The practical stability region and maximal tolerable rejection are estimated for the linear system with saturation nonlinearities and rejection,and then the conservatism in the estimation is reduced by solving a multi-objective optimization problem. On this basis,the optimization problem is simplified by the Schur complements of matrixes,with some properties of the Pareto optimized result proved and the algorithm developed. Further more,as an application of this approach in power system,a method to analyze the performance of power system stabilizer(PSS) controller with saturation nonlinearities and rejection is introduced. Numerical test for a small power system with 3 generators and 5 buses is presented as well,indicating the reliability and simplicity of the approach.