Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach
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 an...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/12/2068 |
| _version_ | 1797544871070793728 |
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| author | Badr Alshammari Rim Ben Salah Omar Kahouli Lioua Kolsi |
| author_facet | Badr Alshammari Rim Ben Salah Omar Kahouli Lioua Kolsi |
| author_sort | Badr Alshammari |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T14:06:40Z |
| format | Article |
| id | doaj.art-3110abec585b47029017caad53c0adf2 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T14:06:40Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-3110abec585b47029017caad53c0adf22023-11-21T00:33:50ZengMDPI AGSymmetry2073-89942020-12-011212206810.3390/sym12122068Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction ApproachBadr Alshammari0Rim Ben Salah1Omar Kahouli2Lioua Kolsi3Department of Electrical Engineering, College of Engineering, University of Ha’il, Ha’il 81481, Saudi ArabiaControl & Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, TunisiaControl & Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, TunisiaDepartment of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il 81481, Saudi ArabiaIn 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.https://www.mdpi.com/2073-8994/12/12/2068power system modellingtransient stabilityTakagi–Sugeno model with uncertaintiesparallel distributed compensation controllerlinear matrix inequalities |
| spellingShingle | Badr Alshammari Rim Ben Salah Omar Kahouli Lioua Kolsi Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach Symmetry power system modelling transient stability Takagi–Sugeno model with uncertainties parallel distributed compensation controller linear matrix inequalities |
| title | Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach |
| title_full | Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach |
| title_fullStr | Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach |
| title_full_unstemmed | Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach |
| title_short | Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach |
| title_sort | design of fuzzy ts pdc controller for electrical power system via rules reduction approach |
| topic | power system modelling transient stability Takagi–Sugeno model with uncertainties parallel distributed compensation controller linear matrix inequalities |
| url | https://www.mdpi.com/2073-8994/12/12/2068 |
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