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Fractional-Order Model Predictive Frequency Control of an Islanded Microgrid

Author

Listed:
  • Min-Rong Chen

    (School of Computer, South China Normal University, Guangzhou 510631, China)

  • Guo-Qiang Zeng

    (National-Local Joint Engineering Laboratory of Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China)

  • Yu-Xing Dai

    (National-Local Joint Engineering Laboratory of Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China)

  • Kang-Di Lu

    (Department of Automation, College of Information Sciences and Technology, Donghua University, Shanghai 201620, China)

  • Da-Qiang Bi

    (State Key Laboratory of Power Systems and Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)

Abstract

Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grünwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

Suggested Citation

  • Min-Rong Chen & Guo-Qiang Zeng & Yu-Xing Dai & Kang-Di Lu & Da-Qiang Bi, 2018. "Fractional-Order Model Predictive Frequency Control of an Islanded Microgrid," Energies, MDPI, vol. 12(1), pages 1-21, December.
    • Handle: RePEc:gam:jeners:v:12:y:2018:i:1:p:84-:d:193694
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    References listed on IDEAS

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    1. Ting Yang & Yajian Zhang & Zhaoxia Wang & Haibo Pen, 2018. "Secondary Frequency Stochastic Optimal Control in Independent Microgrids with Virtual Synchronous Generator-Controlled Energy Storage Systems," Energies, MDPI, vol. 11(9), pages 1-14, September.
    2. Min-Rong Chen & Huan Wang & Guo-Qiang Zeng & Yu-Xing Dai & Da-Qiang Bi, 2018. "Optimal P-Q Control of Grid-Connected Inverters in a Microgrid Based on Adaptive Population Extremal Optimization," Energies, MDPI, vol. 11(8), pages 1-19, August.
    3. Huan Wang & Guoqiang Zeng & Yuxing Dai & Daqiang Bi & Jingliao Sun & Xiaoqing Xie, 2017. "Design of a Fractional Order Frequency PID Controller for an Islanded Microgrid: A Multi-Objective Extremal Optimization Method," Energies, MDPI, vol. 10(10), pages 1-18, October.
    4. Komboigo Charles & Naomitsu Urasaki & Tomonobu Senjyu & Mohammed Elsayed Lotfy & Lei Liu, 2018. "Robust Load Frequency Control Schemes in Power System Using Optimized PID and Model Predictive Controllers," Energies, MDPI, vol. 11(11), pages 1-18, November.
    5. Bohao Sun & Yong Tang & Lin Ye & Chaoyu Chen & Cihang Zhang & Wuzhi Zhong, 2018. "A Frequency Control Strategy Considering Large Scale Wind Power Cluster Integration Based on Distributed Model Predictive Control," Energies, MDPI, vol. 11(6), pages 1-19, June.
    6. Thai-Thanh Nguyen & Hyeong-Jun Yoo & Hak-Man Kim, 2017. "Analyzing the Impacts of System Parameters on MPC-Based Frequency Control for a Stand-Alone Microgrid," Energies, MDPI, vol. 10(4), pages 1-17, March.
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    Cited by:

    1. Giulio Ferro & Michela Robba & Roberto Sacile, 2020. "A Model Predictive Control Strategy for Distribution Grids: Voltage and Frequency Regulation for Islanded Mode Operation," Energies, MDPI, vol. 13(10), pages 1-27, May.
    2. Mehdi Hosseinzadeh & Farzad Rajaei Salmasi, 2020. "Islanding Fault Detection in Microgrids—A Survey," Energies, MDPI, vol. 13(13), pages 1-28, July.
    3. Oshnoei, Soroush & Aghamohammadi, Mohammad Reza & Oshnoei, Siavash & Sahoo, Subham & Fathollahi, Arman & Khooban, Mohammad Hasan, 2023. "A novel virtual inertia control strategy for frequency regulation of islanded microgrid using two-layer multiple model predictive control," Applied Energy, Elsevier, vol. 343(C).

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