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Robust non-fragile power system stabilizer
Affiliation:1. School of Mechanical Engineering, Southeast University, Nanjing 211189, P.R. China;7. Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898 Grimstad, Norway;71. University of Picardie Jules Verne, MIS (E.A. 4290). 80039, Amiens, France;77. Department of Mechanical Engineering, McMaster University, Hamilton, ON, L8S 4L7 Canada
Abstract:This paper presents a step towards the design of robust non-fragile power system stabilizers (PSSs) for single-machine infinite-bus systems. To ensure resiliency of a robust PSS, the proposed approach presents a characterization of all stabilizers that can guarantee robust stability (RS) over wide range of operating conditions. A three-term controller (x1 + x2s)/(1 + x3s) is considered to accomplish the design. Necessary and sufficient stability constraints for existing of such controller at certain operating point are derived via Routh–Hurwitz criterion. Continuous variation in the operating point is tackled by an interval plant model where RS problem is reduced to simultaneous stabilization of finite number of plants according to Kharitonov theorem. Controller triplets that can robustly stabilize vertex plants are characterized in a similar manner. The most resilient controller is computed at the center of maximum-area inscribed rectangle. Simulation results confirm robustness and resiliency of the proposed stabilizer.
Keywords:Dynamic stability  PSS design  Robustness  Resilient controllers  Kharitonov polynomials
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