The paper provides an overview of spectral and modal analysis methods for studying the stability of electric power systems (EPSs) and their control. Consideration is given to theoretical grounds of the methods and to the experience of their application for detecting the heterogeneity of the systems’ structure, identifying the coherency of generators’ motion, simplifying the mathematical model of the dynamics of EPSs, assessing their small-signal stability, and selecting the control actions to ensure it. The analysis of sub-Gramians for studying the EPS stability and other new directions in the development of the modal approach are discussed.

中文翻译：

---

研究电力系统稳定性和控制的谱和模态方法

本文概述了用于研究电力系统（EPS）及其控制的稳定性的频谱和模态分析方法。考虑了方法的理论基础及其在检测系统结构异质性，确定发电机运动的连贯性，简化EPS动力学的数学模型，评估其小信号稳定性方面的应用经验。 ，然后选择控制措施以确保实现。讨论了用于研究EPS稳定性的亚格拉姆人分析方法以及模态方法发展的其他新方向。