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Recent results have shown that several H 2 and H 2-related problems can be formulated as a convex optimization problem involving linear matrix inequalities (LMIs) with a finite number of variables. This paper presents an LMI-based robust H 2 controller design for damping oscillations in power systems. The proposed controller uses full state feedback. The feedback gain matrix is obtained as the solution of a linear matrix inequality. The technique is illustrated with applications to the design of stabilizer for a typical single-machine infinite-bus (SMIB) and a multimachine power system. The LMI based control ensures adequate damping for widely varying system operating conditions and is compared with conventional power system stabilizer (CPSS).

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SUMMARYThis paper presents an LMI-based robust H 2 control design with regional pole constraints for damping power system oscillations. The proposed controller uses full state feedback. The feedback gain matrix is obtained as the solution of a linear matrix inequality (LMI). The technique is illustrated with applications to the design of stabilizer for a typical single-machine infinite-bus (SMIB) and a multimachine power system. The LMI-based control ensures adequate damping for widely varying system operating conditions and is compared with the conventional power system stabilizer (CPSS).

No abstract