Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids
Abstract Frequency regulation in isolated microgrids is challenging due to system uncertainties and varying load demands. This study presents an optimal µ-synthesis robust control strategy that regulates microgrid frequency while enhancing system performance and stability—a proposed fixed-structure...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-01-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-85910-6 |
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| author | Abdallah Mohammed Ahmed Kadry Maged Abo-Adma Adel El Samahy Rasha Elazab |
| author_facet | Abdallah Mohammed Ahmed Kadry Maged Abo-Adma Adel El Samahy Rasha Elazab |
| author_sort | Abdallah Mohammed |
| collection | DOAJ |
| description | Abstract Frequency regulation in isolated microgrids is challenging due to system uncertainties and varying load demands. This study presents an optimal µ-synthesis robust control strategy that regulates microgrid frequency while enhancing system performance and stability—a proposed fixed-structure approach for selecting performance and robustness weights, informed by subsystem frequency analysis. The controller is optimized using multi-objective particle swarm optimization (MOPSO) and multi-objective genetic algorithm (MOGA) under inequality constraints, employing a Pareto front to identify optimal solutions. Comparative analyses demonstrate that the MOPSO-optimized controller achieves superior robustness and performance, tolerating up to 236% uncertainty compared to 171% for conventional µ-synthesis controllers. Additionally, it significantly reduces frequency deviation and enhances transient response. Nyquist stability analysis confirms robustness across renewable energy uncertainties. The results highlight the proposed controller’s effectiveness in isolated microgrid frequency regulation, with future work focused on discrete-time implementation for practical digital signal processing (DSP) applications. |
| format | Article |
| id | doaj-art-03caf508f6024a4688e1477504abbce1 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-03caf508f6024a4688e1477504abbce12025-01-19T12:17:53ZengNature PortfolioScientific Reports2045-23222025-01-0115112410.1038/s41598-025-85910-6Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgridsAbdallah Mohammed0Ahmed Kadry1Maged Abo-Adma2Adel El Samahy3Rasha Elazab4Faculty of Engineering, Helwan UniversityFaculty of Engineering, Helwan UniversityFaculty of Engineering, Helwan UniversityFaculty of Engineering, Helwan UniversityFaculty of Engineering, Helwan UniversityAbstract Frequency regulation in isolated microgrids is challenging due to system uncertainties and varying load demands. This study presents an optimal µ-synthesis robust control strategy that regulates microgrid frequency while enhancing system performance and stability—a proposed fixed-structure approach for selecting performance and robustness weights, informed by subsystem frequency analysis. The controller is optimized using multi-objective particle swarm optimization (MOPSO) and multi-objective genetic algorithm (MOGA) under inequality constraints, employing a Pareto front to identify optimal solutions. Comparative analyses demonstrate that the MOPSO-optimized controller achieves superior robustness and performance, tolerating up to 236% uncertainty compared to 171% for conventional µ-synthesis controllers. Additionally, it significantly reduces frequency deviation and enhances transient response. Nyquist stability analysis confirms robustness across renewable energy uncertainties. The results highlight the proposed controller’s effectiveness in isolated microgrid frequency regulation, with future work focused on discrete-time implementation for practical digital signal processing (DSP) applications.https://doi.org/10.1038/s41598-025-85910-6Optimal µ-synthesis controllerIsolated microgridFrequency regulationRobust performanceRobust stabilityMulti-objective optimization |
| spellingShingle | Abdallah Mohammed Ahmed Kadry Maged Abo-Adma Adel El Samahy Rasha Elazab Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids Scientific Reports Optimal µ-synthesis controller Isolated microgrid Frequency regulation Robust performance Robust stability Multi-objective optimization |
| title | Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids |
| title_full | Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids |
| title_fullStr | Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids |
| title_full_unstemmed | Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids |
| title_short | Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids |
| title_sort | hybrid multi objective optimization of µ synthesis robust controller for frequency regulation in isolated microgrids |
| topic | Optimal µ-synthesis controller Isolated microgrid Frequency regulation Robust performance Robust stability Multi-objective optimization |
| url | https://doi.org/10.1038/s41598-025-85910-6 |
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