Title: LMI static output feedback design of fuzzy power system stabilisers

Authors: M. Soliman, F. Bendary, W. Mansour, Abdel-Latif Elshafei

Addresses: Electrical Power and Machines Department, Benha University, 108 Shubra St., Cairo, P.O: 11240, Egypt. ' Electrical Power and Machines Department, Benha University, 108 Shubra St., Cairo, P.O: 11240, Egypt. ' Electrical Power and Machines Department, Benha University, 108 Shubra St., Cairo, P.O: 11240, Egypt. ' Electrical Power and Machines Department, Cairo University, Gamma St., Giza, P.O: 12613, Egypt

Abstract: The design of a model-free fuzzy power system stabiliser (PSS) lacks systematic stability analysis and performance guarantees. This paper provides a step towards the design of a model-based fuzzy PSS that guarantees not only stability, but also performance specifications of power systems. A new practical and simple design based on static output feedback is proposed. The design guarantees robust pole clustering in an acceptable region in the complex plane for a wide range of operating conditions. A power system design model is approximated by a set of Takagi-Sugeno (T-S) fuzzy models to account for non-linearities, uncertainties and large-scale power systems. The proposed PSS design is based on parallel distributed compensation (PDC). Sufficient design conditions are derived as linear matrix inequalities (LMIs). The design procedure leads to a tractable convex optimisation problem in terms of the stabiliser gain matrix. Simulations results of both single machine and multimachine power systems confirm the effectiveness of the proposed PSS design.

Keywords: power system stability; robustness; linear matrix inequality; LMI; Takagi-Sugeno fuzzy models; parallel distributed compensation; PDC; static output feedback; modelling; fuzzy power system stabilisers; robust pole clustering.

DOI: 10.1504/IJMIC.2011.040077

International Journal of Modelling, Identification and Control, 2011 Vol.12 No.4, pp.328 - 340

Published online: 21 Mar 2015 *

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