电压稳定裕度对于参数的灵敏度的直接计算方法  

Directly calculating the sensitivity of loading margin

作　　者：安祎春[1] 张庆灵[1] 苏湛[1] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004

出　　处：《电机与控制学报》2008年第4期415-419,共5页Electric Machines and Control

基　　金：国家自然科学基金(60574011);辽宁省普通高校学科带头人基金(124210)

摘　　要：对于含参数的微分代数电力系统模型,鞍结分岔是静态分岔中最为普遍存在的一种分岔,往往导致电压振荡直至崩溃。而电压稳定裕度容易受到系统参数的影响,即所谓的稳定裕度对参数的灵敏度。为此给出一种解线性方程组直接求解电压稳定裕度对参数的灵敏度的新方法。该方法只需求解左端系数为扩展潮流Jacobi矩阵的线性方程组,避免了零特征值对应的左特征向量的迭代求解,计算量小,计算速度快,尤其适用于研究静态电压稳定性。IEEE标准的118母线检测系统仿真验证了该方法对于电力系统负荷裕度灵敏度计算的有效性。For a differential-algebraic power system model with parameters, the saddle-node bifurcation is one of the more universally existent static bifurcations. Saddle-node bifurcation always leacls to oscillate and collapse. The loading margin is used as stability index, but the loading margin of power system is influenced easily by parameters of the system, that is, the sensitivity of loading margin with respect to any parameters. A new method is derived to directly calculate the sensitivity of loading margin to voltage collapse with the parameters variation. This method only needs to solve linear equations with extended Jacobi matrix. Because of avoiding the iteration step to compute the left eigenvector, this method is simpler and quicker for computing sensitivity, and more applicable for analyzing static voltage stability. 118-bus IEEE standard test system is studied and simulation results verify the validity of the method for large power systems.

关 键 词：裕度指标 灵敏度 电力系统 鞍结分岔 

分 类 号：TM712[电气工程—电力系统及自动化]