Comparison of two methods of power systems stability degree assessment

N. Kiryanova, V. Trapeznikov
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Abstract

The study focuses on the investigation small-signal stability in power systems using two methods. One of the methods is traditional method of modal analysis investigating behavior of the eigenvalues. Another one is a new sub-Gramians method that was worked out in Institute of Control Sciences (ICS) RAS. The method is based on the application of the so-called sub-Gramians derivable from solving the Lyapunov equations. The comparison of methods was made using the MATLAB software for two test systems: 1) a well-known model of transmission system proposed by P. Kundur, and 2) IEEE 57-bus test model.
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电力系统稳定度评估两种方法的比较
本文主要采用两种方法研究电力系统的小信号稳定性。其中一种方法是研究特征值行为的传统模态分析方法。另一个是控制科学研究所(ICS) RAS提出的一种新的亚格拉曼方法。该方法是基于应用所谓的亚格拉姆可推导从求解李雅普诺夫方程。利用MATLAB软件对两种测试系统进行了方法比较:1)P. Kundur提出的知名传输系统模型和2)IEEE 57总线测试模型。
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