同伦法部分极点配置中特征灵敏度计算

摘要

针对大电网区域互联造成的电力系统中低频振荡问题频繁发生,通过采用配置电力系统稳定器(PSS)来提高系统阻尼.为了解决参数配置中存在的经典牛顿法对初值要求高这一问题,引入了最小方差-全概率同伦部分极点配置方法.详细分析了其中的特征灵敏度计算问题,分别计算了特征值一阶、二阶灵敏度,比较了特征向量灵敏度的3种不同的算法;并通过经典的3机9节点系统和New England 10机39节点系统进行了仿真实验.算例结果证明,参数K、Ta,以及极点都被配置到了目标位置,3种方法都具有可行性和有效性,证明了NELSON方法具有更好的适用性、鲁棒性.%Aiming at the large power grid interconnected leads to the low frequency oscillation of power system,an method based on power system stabilizer (PSS) was proposed to improve the damping of the system.In order to solve the problem that at the newton method needs a starting point that is very close to final solution during the parameter configuration of power system stabilizer(PSS),the homotopy method on partial pole assignment was introduced.Especially,the eigen-sensitivity was analyzed carefully.The first-order eigenvalue sensitivity,second-order eigenvalue sensitivity and eigenvector sensitivity were calculated separately,and three algorithms of eigenvector sensitivity were compared.To verify the effectiveness of the algorithm,the classic 3-machine-9-bus system and the New England 10-machine-39-bus system were adopted for simulation.The results indicate that the parameter K,Ta and the poles are configured to the target location and the suggested method is proved to be feasible and effective.The NELSON method is proved to be universal and robust.