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Damping of Power System Oscillations with Optimal Regulator

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This chapter presents a study of the small signal stability applied to an electric power system, with the consideration of the Power System Stabilizer and using the optimal control theory. A new technique is proposed, which is based on pole placement using optimal state feedback for damping electromechanical oscillation under small signal. The proposed technique builds the weighting matrices of the quadratic terms for the state vector Q and control vector R in such a way that the system response also obeys conventional criteria for the system pole location. Besides, when the number of output variables is less than the order of the system, it is proposed an optimal output feedback approach, where a set of closed-loop system poles is allocated to an arbitrary position by means of a suitable output feedback. The Power Sensitivity Model is used to represent the electric power system. Information about the stability of the electric power system, when subjected to small disturbances, is illustrated by using numerical examples.

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Output Feedback Gain Matrix Electric Power System Optimal Controller Linear Quadratic Regulator

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