A power system stabilizer (PSS) design method, which aims at enhancing the damping of multiple electromechanical modes in a multi-machine system over a large and pre-specified set of operating conditions, is introduced in this paper. With the assumption of normal distribution, the statistical nature of the eigenvalues corresponding to different operating conditions is described by their expectations and variances. A probabilistic eigenvalue-based optimization problem used for determining PSS parameters is then formulated. Differential evolution (DE) is applied for solving this highly nonlinear optimization problem. Different strategies for control parameter settings of DE have been studied to verify the robustness of DE in PSS optimization problems. The performance of the proposed PSS, with a conventional lead/lag structure, has been demonstrated based on two test systems by probabilistic eigenvalue analysis and nonlinear simulation.
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