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Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids

Author

Listed:
  • Hisham M. Soliman

    (Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat 123, Oman)

  • Ehab Bayoumi

    (Department of Electrical and Electronics Engineering, University of Eswatini, Private Bag 4, Kwaluseni M201, Swaziland)

  • Amer Al-Hinai

    (Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat 123, Oman)

  • Mostafa Soliman

    (Department of Computer Engineering, Cairo University, Cairo 12613, Egypt)

Abstract

This manuscript presents a robust tracking (servomechanism) controller for linear time-invariant (LTI) islanded (autonomous, isolated) microgrid voltage control. The studied microgrid (MG) consists of many distributed energy resources (DERs) units, each using a voltage-sourced converter (VSC) for the interface. The optimal tracker design uses the ellipsoidal approximation to the invariant sets. The MG system is decomposed into different subsystems (DERs). Each subsystem is affected by the rest of the system that is considered as a disturbance to be rejected by the controller. The proposed tracker (state feedback integral control) rejects bounded external disturbances by minimizing the invariant ellipsoids of the MG dynamics. A condition to design decentralized controllers is derived in the form of linear matrix inequalities. The proposed controller is characterized by rapid transient response, and zero error in the steady state. A robustness analysis of the control strategy (against load changes, load unbalances, etc.) is carried out. A MATLAB/SimPowerSystems (R2017b, MathWorks, Natick, MA, USA) simulation of the case study confirm the robustness of the proposed controller.

Suggested Citation

  • Hisham M. Soliman & Ehab Bayoumi & Amer Al-Hinai & Mostafa Soliman, 2020. "Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids," Energies, MDPI, vol. 13(21), pages 1-18, November.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:21:p:5756-:d:439317
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    References listed on IDEAS

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    1. Colmenar-Santos, Antonio & Reino-Rio, Cipriano & Borge-Diez, David & Collado-Fernández, Eduardo, 2016. "Distributed generation: A review of factors that can contribute most to achieve a scenario of DG units embedded in the new distribution networks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 59(C), pages 1130-1148.
    2. Demin Li & Bo Zhao & Zaijun Wu & Xuesong Zhang & Leiqi Zhang, 2017. "An Improved Droop Control Strategy for Low-Voltage Microgrids Based on Distributed Secondary Power Optimization Control," Energies, MDPI, vol. 10(9), pages 1-18, September.
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    Cited by:

    1. Hisham M. Soliman & Ashraf Saleem & Ehab H. E. Bayoumi & Michele De Santis, 2023. "Harmonic Distortion Reduction of Transformer-Less Grid-Connected Converters by Ellipsoidal-Based Robust Control," Energies, MDPI, vol. 16(3), pages 1-18, January.
    2. Surender Reddy Salkuti, 2022. "Emerging and Advanced Green Energy Technologies for Sustainable and Resilient Future Grid," Energies, MDPI, vol. 15(18), pages 1-7, September.

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