<p>Recently, the utilization of fractional order calculus in power electronics, especially in microgrid control, has gained prominence. Over the last few years, critical evaluation of the fractional order controllers and their application to renewable energy systems and other process control systems has been carried out. Fractional order controllers represent a notable progression in control theory, providing improved performance and adaptability relative to conventional integer-order controllers. They have made notable contributions to microgrid control technology, particularly in load frequency management, power balancing, and other performance metrics. The focus of this study is to review the application of fractional order compensators in microgrid systems, an area that the existing literature has not sufficiently addressed. The review introduces selected control topologies suitable for application in microgrids. The core notions of fractional calculus and how it supports the creation of fractional order controllers have been presented. Various classes of the fractional order controller have been comprehensively discussed with specific examples to demonstrate their operability and control efficiency. The review gives particular attention to analysis on the application of fractional order to microgrids, highlighting their importance in terms of robustness, stability, and adaptability. The fractional order controllers and optimisation algorithms proposed in the previous studies (2020–2024) have been highlighted. The paper presents an evaluation of the benefits and deficiencies of fractional order control systems. Fractional order PID controllers are still used more in microgrid systems. It was established that fully defined tuning criteria and hardware implementation for fractional order controllers are still lacking.</p>

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Fractional order controllers in microgrid management: systematic review

  • Duncan Nkolokosa,
  • Sebastian Waita,
  • Mutugi Kiruki,
  • Bartolomeu Ferreira dos Santos Junior,
  • Walbermark Marque dos Santos

摘要

Recently, the utilization of fractional order calculus in power electronics, especially in microgrid control, has gained prominence. Over the last few years, critical evaluation of the fractional order controllers and their application to renewable energy systems and other process control systems has been carried out. Fractional order controllers represent a notable progression in control theory, providing improved performance and adaptability relative to conventional integer-order controllers. They have made notable contributions to microgrid control technology, particularly in load frequency management, power balancing, and other performance metrics. The focus of this study is to review the application of fractional order compensators in microgrid systems, an area that the existing literature has not sufficiently addressed. The review introduces selected control topologies suitable for application in microgrids. The core notions of fractional calculus and how it supports the creation of fractional order controllers have been presented. Various classes of the fractional order controller have been comprehensively discussed with specific examples to demonstrate their operability and control efficiency. The review gives particular attention to analysis on the application of fractional order to microgrids, highlighting their importance in terms of robustness, stability, and adaptability. The fractional order controllers and optimisation algorithms proposed in the previous studies (2020–2024) have been highlighted. The paper presents an evaluation of the benefits and deficiencies of fractional order control systems. Fractional order PID controllers are still used more in microgrid systems. It was established that fully defined tuning criteria and hardware implementation for fractional order controllers are still lacking.