Power System Stability Control Using FACTS with Multiple Operating Points
Power systems may operate on several operating conditions including post-fault operating conditions where it is challenging to design a FACTS damping controller that can achieve satisfactory performance over several operating conditions. When the nonlinear power system model is linearized around these operating conditions, a set of linearized state equations can formulate the multi-model system. So in principle the control design for the system with several operating points is to design a common controller for the multi-model system. Basically the output feedback problem of a multi-model system can be described by the nonlinear matrix inequalities (NMI). In the previous chapter, LMI approaches have been proposed to solve the damping control design on the nominal model (or single model) through suitable parameterization and transformation of the original NMI into the LMI problems. However, the LMI approaches and associated parameterization and transformation techniques are not applicable to the NMI for the multi-model system: In this Chapter, a two-step LMI based approach is proposed to design an output feedback controller for a multi-model system where the pole placement of the closed-loop system is considered. Then the proposed design approach is extended to H 2 and H ∞ performances.
KeywordsLinear Matrix Inequality State Feedback Controller Pole Placement Output Feedback Controller Linear Matrix Inequality Approach
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