Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach

Badr Alshammari,Lioua Kolsi,Omar Kahouli,Rim Ben Salah

doi:10.3390/sym12122068

Badr Alshammari, Lioua Kolsi + Show 2 more

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https://doi.org/10.3390/sym12122068

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Journal: Symmetry	Publication Date: Dec 12, 2020
Citations: 5	License type: CC BY 4.0

Affiliation: University of Ha'il

Abstract

In this paper, a new Takagi–Sugeno Fuzzy Logic controller (TS-FLC) is presented and applied for modeling and controlling the nonlinear power systems even in the presence of disturbances. Firstly, a nonlinear mathematical model for the electrical power system is presented with consideration of PSS and AVR controller. Then, a Takagi–Sugeno Fuzzy Logic controller is employed to control power system stability. Nevertheless, the study of the stability of Takagi–Sugeno fuzzy models will be difficult in the case where the number of nonlinearities is important. To cope with this problem, this study proposed a methodology to reduce the number of rules and to guarantee the global stability of the power system. The new model included only two rules. All the other nonlinearities were considered as uncertainties. In addition, a Parallel Distributed Compensation controller is designed using the Linear Matrix Inequalities constraints in order to guarantee system stability. Finally, this approach is applied on a Single Machine Infinite Bus affected by fault perturbation. To show the novelty of Takagi Sugeno’s method, we compared our approach to the Taylor linearization method. The numerical simulations prove the feasibility and performance of the proposed method.

Highlights

Service continuity and stability of electric power systems are important problems because of the increasing demand for energy, transient stability has become a difficult task due to the complexity of the power system and the presence of abrupt perturbations
The important key of transient stability is the aptitude of a power system to retain the generators in synchronism and reach the operating point when affected by large perturbations such as loss of generators, short circuit, loss of critical network branches, or large load variations [1,2]
In [4], the power system model is transformed into the Takagi–Sugeno (TS) fuzzy model in order to satisfy the voltage and transient stability [3]

Summary

Introduction

Service continuity and stability of electric power systems are important problems because of the increasing demand for energy, transient stability has become a difficult task due to the complexity of the power system and the presence of abrupt perturbations. The important key of transient stability is the aptitude of a power system to retain the generators in synchronism and reach the operating point when affected by large perturbations such as loss of generators, short circuit, loss of critical network branches, or large load variations [1,2]. The excitation systems design and voltage control have always been considered as the most cost-effective means for the improvement of the system’s stability and reliability. The study of this issue has been of interest for many decades in a great deal of research. In [4], the power system model is transformed into the Takagi–Sugeno (TS) fuzzy model in order to satisfy the voltage and transient stability [3]

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Results

Conclusion