Spectral and Modal Methods for Studying Stability and Control of Electric Power Systems

• Published in: Automation and remote control Vol. 81; no. 10; pp. 1751 - 1774
• Main Authors: Voropai, N. I., Golub, I. I., Efimov, D. N., Iskakov, A. B., Yadykin, I. B.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-10-2020
• Subjects: 639/301/1034/1035; 639/925/357/995; CAE) and Design; Calculus of Variations and Optimal Control; Optimization; Computer-Aided Engineering (CAD; Control; Mathematics; Mathematics and Statistics; Mechanical Engineering; Mechatronics; Reviews; Robotics; Systems Theory; model order reduction; electric power systems; stability assessment; spectral analysis; sub-Gramians; control; modal analysis
• ISSN: 0005-1179; 1608-3032
• DOI: 10.1134/S000511792010001X

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.