Non-linear excitation control of a synchronous generator using robust feedback linearization

• Published in: Optimal control applications & methods Vol. 18; no. 4; pp. 237 - 256
• Main Authors: Lahdhiri, T., Alouani, A. T.
• Format: Journal Article
• Language: English
• Published: Chichester Wiley Subscription Services, Inc., A Wiley Company 01.07.1997; Wiley
• Subjects: Applied sciences; differential geometry; Disturbances. Regulation. Protection; electric generator control; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; feedback linearization; High voltage or high current generators; linear robust control theory; Power networks and lines; stochastic calculus; Various equipment and components; Robust control; Electric generator; Uncertainty; Synchronous machine; Feedback; Stochastic calculus; LQG control; Differential geometry; Non linear control; Control synthesis; Linearization
• ISSN: 0143-2087; 1099-1514
• DOI: 10.1002/(SICI)1099-1514(199707/08)18:4<237::AID-OCA592>3.0.CO;2-G

The objective of this paper is to design non‐linear excitation controllers for synchronous generators using robust feedback linearization. Since disturbances acting on power systems are of random nature and since the variations in the interconnection variables, the machine currents, cannot be known with certainty, such systems have to be treated as non‐linear uncertain stochastic systems. To take advantage of well‐developed robust linear control techniques, geometry and stochastic calculus are used to transform the non‐linear system to an equivalent linear uncertain system. Simulation results of a single‐machine infinite‐bus system indicate that the proposed controller provides a larger stability margin than that obtained using existing linear and non‐linear controllers. © 1997 John Wiley & Sons, Ltd.