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AVR Fractional-Order Controller Based on Caputo–Fabrizio Fractional Derivatives and Integral Operators

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  • Andriy Lozynskyy

    (Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland
    Institute of Power Engineering and Control System, Lviv Polytechnic National University, 79-013 Lviv, Ukraine)

  • Jacek Kozyra

    (Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland)

  • Andriy Kutsyk

    (Institute of Power Engineering and Control System, Lviv Polytechnic National University, 79-013 Lviv, Ukraine
    Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszow, Poland)

  • Zbigniew Łukasik

    (Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland)

  • Aldona Kuśmińska-Fijałkowska

    (Faculty of Transport, Electrical Engineering and Computer Science, Casimir Pulaski Radom University, 26-600 Radom, Poland)

  • Lidiia Kasha

    (Institute of Power Engineering and Control System, Lviv Polytechnic National University, 79-013 Lviv, Ukraine)

  • Andriy Lishchuk

    (Institute of Power Engineering and Control System, Lviv Polytechnic National University, 79-013 Lviv, Ukraine)

Abstract

The application of a fractional-order controller (FOC) using the Caputo–Fabrizio representation in the automatic voltage regulation (AVR) system of a synchronous generator is shown in this paper. The mathematical model of the system is created and the adequacy of the model is confirmed. The efficiency of the proposed regulator in different operating regimes is demonstrated. In particular, the proposed controller improves voltage regulation in a wide range of changes in the coordinates that characterize the power system operation mode, and it increases the system’s robustness to both uncertainties and nonlinearities that often occur in power systems. The synthesized fractional-order regulator provides higher response and control accuracy compared to traditional regulators used in automatic voltage regulation (AVR) systems.

Suggested Citation

  • Andriy Lozynskyy & Jacek Kozyra & Andriy Kutsyk & Zbigniew Łukasik & Aldona Kuśmińska-Fijałkowska & Lidiia Kasha & Andriy Lishchuk, 2024. "AVR Fractional-Order Controller Based on Caputo–Fabrizio Fractional Derivatives and Integral Operators," Energies, MDPI, vol. 17(23), pages 1-21, November.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:23:p:5913-:d:1529025
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    References listed on IDEAS

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    1. Jenkins, J.D. & Zhou, Z. & Ponciroli, R. & Vilim, R.B. & Ganda, F. & de Sisternes, F. & Botterud, A., 2018. "The benefits of nuclear flexibility in power system operations with renewable energy," Applied Energy, Elsevier, vol. 222(C), pages 872-884.
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