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Abstract
The application of phasor measurement unit (PMU) measurements and a robust linear matrix inequality-based control based on a polytopic model of the system used to damp inter-area oscillations is investigated. The closed-loop eigenvalues are excluded from a region of the complex plane, guaranteeing that low-frequency modes must be damped. A 68-bus 16-generator system is used as a test system. Three DC lines, three static var compensators, and remote PMU frequencies as added inputs to selected power system stabilizers are used as the example control. Ten different system conditions are used as the vertices of the polytope. The system size is reduced using selective modal analysis.
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