Abstract-This paper presents a systematic design procedure for Area IArea 2 a robust damping controller based on the Linear Matrix Inequality (LMI) approach employlng a Superconducting Magnetic Energy Storage (SMES) device. The design procedure takes advantage of the multi-objective features of LMI based design techniques. The procedure is applied to enhance the damping of inter-area oscillations in a two-area four-machine test system.

Application of the normalised H N loop-shaping technique for design and simplification of damping controllers in the LMI framework is illustrated. A linearised model of the power system is pre-and post-compensated using the loop-shaping approach. The problem of robust stabilisation of a normalised coprime factor plant description is translated to a generalised H N problem. The solution is sought numerically using LMIs with additional pole-placement constraints. This ensures that the time-domain specifications are met besides robust stabilisation.

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