Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty
The main objective of this paper is to design a robust multi-objective <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn>...
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| Format: | Article |
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MDPI AG
2022-07-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/15/5525 |
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| author | Naser Azim Mohseni Navid Bayati |
| author_facet | Naser Azim Mohseni Navid Bayati |
| author_sort | Naser Azim Mohseni |
| collection | DOAJ |
| description | The main objective of this paper is to design a robust multi-objective <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub><mo>/</mo><msub><mi mathvariant="normal">H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> delayed feedback controller for load frequency control of a multi-area interconnected power system by taking into account all theoretical and practical constraints. To achieve more precise modelling and analysis, the limitation of valve position, governor, and transmission delay are considered to guarantee of LFC system’s stability in practical applications. The nonlinear delayed system is approximated by the Takagi–Sugeno fuzzy model. Then, a parallel distributed compensation scheme is utilized for designing the control system of the overall system. The proposed multi-objective and robust <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub><mo>/</mo><msub><mi mathvariant="normal">H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> controller simultaneously minimizes the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> control performance indexes. Finally, simulation results verify the robustness and effectiveness of the proposed scheme in dealing with the impact of load disturbances, model uncertainties, transmission time delays, and nonlinearities in the model. |
| first_indexed | 2024-03-09T05:27:05Z |
| format | Article |
| id | doaj.art-3ec1e97ae2204bcb8b6b87fd45970ca0 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T05:27:05Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-3ec1e97ae2204bcb8b6b87fd45970ca02023-12-03T12:35:42ZengMDPI AGEnergies1996-10732022-07-011515552510.3390/en15155525Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and UncertaintyNaser Azim Mohseni0Navid Bayati1Faculty of Electrical, Biomedical and Mechatronics Engineering, Qazvin Branch, Islamic Azad University, Qazvin 82, IranCentre for Industrial Electronics, Department of Mechanical and Electrical Engineering, University of Southern Denmark, 6400 Søndeborg, DenmarkThe main objective of this paper is to design a robust multi-objective <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub><mo>/</mo><msub><mi mathvariant="normal">H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> delayed feedback controller for load frequency control of a multi-area interconnected power system by taking into account all theoretical and practical constraints. To achieve more precise modelling and analysis, the limitation of valve position, governor, and transmission delay are considered to guarantee of LFC system’s stability in practical applications. The nonlinear delayed system is approximated by the Takagi–Sugeno fuzzy model. Then, a parallel distributed compensation scheme is utilized for designing the control system of the overall system. The proposed multi-objective and robust <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub><mo>/</mo><msub><mi mathvariant="normal">H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> controller simultaneously minimizes the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> control performance indexes. Finally, simulation results verify the robustness and effectiveness of the proposed scheme in dealing with the impact of load disturbances, model uncertainties, transmission time delays, and nonlinearities in the model.https://www.mdpi.com/1996-1073/15/15/5525multi-area power systemLFCrobust controlTS fuzzy modeltime-delay system |
| spellingShingle | Naser Azim Mohseni Navid Bayati Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty Energies multi-area power system LFC robust control TS fuzzy model time-delay system |
| title | Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty |
| title_full | Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty |
| title_fullStr | Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty |
| title_full_unstemmed | Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty |
| title_short | Robust Multi-Objective H<sub>2</sub>/H<sub>∞</sub> Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty |
| title_sort | robust multi objective h sub 2 sub h sub ∞ sub load frequency control of multi area interconnected power systems using ts fuzzy modeling by considering delay and uncertainty |
| topic | multi-area power system LFC robust control TS fuzzy model time-delay system |
| url | https://www.mdpi.com/1996-1073/15/15/5525 |
| work_keys_str_mv | AT naserazimmohseni robustmultiobjectivehsub2subhsubsubloadfrequencycontrolofmultiareainterconnectedpowersystemsusingtsfuzzymodelingbyconsideringdelayanduncertainty AT navidbayati robustmultiobjectivehsub2subhsubsubloadfrequencycontrolofmultiareainterconnectedpowersystemsusingtsfuzzymodelingbyconsideringdelayanduncertainty |