Hybrid multi-objective optimization of µ-synthesis robust controller for frequency regulation in isolated microgrids

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...

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Veröffentlicht in:Scientific reports Jg. 15; H. 1; S. 2298 - 24
Hauptverfasser: Mohammed, Abdallah, Kadry, Ahmed, Abo-Adma, Maged, Samahy, Adel El, Elazab, Rasha
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London Nature Publishing Group UK 17.01.2025
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Alternative energy
Comparative analysis
Controllers
Design
Digital signal processors
Frequency analysis
Frequency regulation
Fuel cells
Genetic algorithms
Humanities and Social Sciences
Isolated microgrid
Multi-objective optimization
multidisciplinary
Optimal µ-synthesis controller
Optimization
Renewable energy
Renewable resources
Robust control
Robust performance
Robust stability
Science
Science (multidisciplinary)
Signal processing
Stability analysis
Systems stability
Robust performance
Optimal µ-synthesis controller
Multi-objective optimization
Robust stability
Isolated microgrid
Frequency regulation
ISSN:2045-2322, 2045-2322
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Zusammenfassung: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.
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-025-85910-6