多机电力系统中灵活交流输电稳定器安装地点和反馈信号选择的降阶模态分析法

Reduced Order Modal Analysis for Selecting Locations and Feedback Signals of FACTS Based Stabilizers in Multi Machine Power Systems

本文提出了一种在多机电力系统中选择灵活交流输电稳定器（ＦＡＣＴＳ－ｂａｓｅｄｓｔａｂｉｌｉｚｅｒ）安装地点和反馈信号的新方法——降阶模态分析法。这一方法形成于一组降阶模态分析公式。它由电力系统推广Ｐｈｉｌｉｐｓ－Ｈｅｆｒｏｎ模型得到，与由全系统状态矩阵进行的通常模态分析完全等效。降阶模态分析法能够保证：所有参加分析计算的矩阵的维数均不超过系统中的发电机数。这样，不仅大大降低了分析所需的运算量和计算机内存，而且有效地避免了通常由全系统状态矩阵进行模态分析所存在的高维矩阵特征解的数值困难。

Based on the extended Phillips Heffron model,a reduced order method of modal analysis for the selection of locations and feedback signals of the FACTS based stabilizers in multi machine power systems is proposed in this paper.The method proposed is not only as accurate as the conventional method of modal analysis,but also guarantees that the order of all matrices involved in the reduced order modal analysis are low,being not higher than the number of machines in the power systems so that the numerical difficulty of eigensolution of high order matrices is successfully avoided and the computational effort is greatly saved.