Abstract
This paper deals with the design and evaluation of a nonlinear state feedback controller to improve the global asymptotic stabilization and transient performance of synchronous machines. The nonlinear Park’s model is developed around the working point on a third order polynomial system. An innovative technique is used to design a nonlinear polynomial controller, based on the Lyapunov’s direct method and Linear Matrix Inequalities (LMIs) approach. The control laws are derived from the resolution of a sufficient LMI stabilization condition. The proposed polynomial control has been tested numerically on a generator infinite-bus power system and the simulations results show an excellent damping of the system oscillations over a wide range of operating conditions whilst retaining good voltage control.
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Recommended by Editorial Board member Ju Hyun Park under the direction of Editor Jae Weon Choi. This work was supported by the LECAP Laboratory (Laboratoire d’Etude et Commande Automatique de Processus) of Polytechnic School of Tunisia. The authors gratefully acknowledge the contribution of reviewers’ comments.
Mohamed Moez Belhaouane was born in Tunis in 1980. He received his Master degree in Automatic Control and his Ph.D. degree in Electrical Engineering, both from École Supérieure des Sciences et Techniques de Tunis (ESSTT) in 2005 and 2011, respectively. Currently, he is a research member of the Processes Study and Automatic Control Laboratory (LECAP) in the Polytechnic School of Tunisia and he is assistant professor at the National School of Engineers of Gabès (ENIG). His research interests include analysis, stabilization and robust control of nonlinear systems with applications on electromechanical processes.
Naceur Benhadj Braiek was born in 1963. He obtained his Master degree in Electrical Engineering and an Master degree in Systems Analysis and Numerical Processing, both from the Ecole Nationale d’Ingénieurs de Tunis in 1987, an Master degree in Automatic Control from the Institut Industriel du Nord (Ecole Centrale de Lille) in 1988, a Ph.D. degree in Automatic Control from the Universitédes Sciences et Techniques de Lille, France, in 1990, and the Doctorat d’État in Electrical Engineering from Ecole Nationale d’Ingénieurs de Tunis in 1995. Currently, he is a Professor of Electrical Engineering at the University of Tunis, Ecole Supérieure des Sciences et Techniques de Tunis. He is also the Director of the Process Study and Automatic Control Laboratory (LECAP) at the Ecole Polytechnique de Tunisie. His domain of interest is related to the modeling, analysis and control of nonlinear systems with applications on electrical and mechanical processes.
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Belhaouane, M.M., Braiek, N.B. Design of stabilizing control for synchronous machines via polynomial modelling and linear matrix inequalities approach. Int. J. Control Autom. Syst. 9, 425–436 (2011). https://doi.org/10.1007/s12555-011-0301-5
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DOI: https://doi.org/10.1007/s12555-011-0301-5