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IMA Journal of Mathematical Control and Information 2002 19(1 and 2):115-131; doi:10.1093/imamci/19.1_and_2.115
© 2002 by Institute of Mathematics and its Applications
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Control of an interconnected power system: a time delay approach

Dan Ivanescu1, Aaron F. Snyder2, Jean-Michel Dion1, Luc Dugard1, Didier Georges1 and Nouredine Hadjsaid2

1 Laboratoire d'Automatique de Grenoble (INPG CNRS UJF), ENSIEG, BP 46, 38402, St Martin d'Hères, France 2 Laboratoire d'Electrotechnique de Grenoble (INPG CNRS UJF), ENSIEG, BP 46, 38402, St Martin d'Hères, France

This paper investigates the control problem of a large interconnected power systems in the presence of measurement delays. A remote output feedback controller is designed in order to stabilize the power system and to improve the damping of low-frequency inter-area oscillations. Sufficient conditions for closed-loop stability, functions of the input delay are given in terms of the existence of symmetric and positive definite solutions of linear matrix inequalities. Time-domain simulations, performed on a realistic nonlinear model (29-machine, 400 states) show the robustness of the proposed control law during severe events such as short-circuits or sudden large variations of load.

Keywords: time-delay system; robust control; power system; electrical networks; LMI.


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