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Design of Stabilizing Control for Synchronous Machines via Polynomial Modelling and Linear Matrix Inequalities Approach

Mohamed Moez Belhaouane and Naceur Benhadj Braiek
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.425-436, 2011

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 di-rect 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.

Keyword : Global asymptotic stabilization, linear matrix inequalities (LMI), nonlinear state feedback control, polynomial approach, power system stabiliser, synchronous machine modelling.

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