This paper presents a new robust decentralized control of nonlinear interconnected systems, which is applied and validated on a large scale power system. Our work is performed in three steps. Firstly, we have developed the polynomial description of the nonlinear uncertain and interconnected system using odd Kronecker power of state vectors, which is an easy-manipulation model for such complex systems. Then we applied Lyapunov’s direct method of stability analysis, associated with a quadratic function, in order to determine a sufficient condition for global asymptotic stability by applying a nonlinear, decentralized and optimal polynomial control. Finally, we carried out a simulation study on a nonlinear uncertain power system with three interconnected machines. We considered different cases of perturbations on its state variables as well as different cases of fault locations. We prove via advanced simulations, the effectiveness of the proposed control technique which is able to mitigate the successive amplitudes of the oscillations, to limit the control actions and to enhance the power system transient stability.

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In this paper, we investigate the problem of the decentralized robust guaranteed cost control (GCC) for robust stabilization of uncertain linear interconnected multimachine power systems. Sufficient conditions for the existence of guaranteed cost controllers and formulation in a minimization problem are given in terms of linear matrix inequality (LMI) which resolution yields the decentralized control gain matrices, to ensure the asymptotic stability of the linear uncertain large scale system. The effectiveness of the proposed control technique is demonstrated through numerical simulations on a linear uncertain power system with three interconnected machines, for different cases of perturbations.

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