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Robust Control of a PMSG-Based Wind Turbine Generator Using Lyapunov Function

Author

Listed:
  • Roghayyeh Pourebrahim

    (Department of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-16471, Iran)

  • Amin Mohammadpour Shotorbani

    (Department of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-16471, Iran
    Faculty of Applied Science, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada)

  • Fausto Pedro García Márquez

    (Ingenium Research Group, Universidad Castilla-La Mancha, 13071 Ciudad Real, Spain)

  • Sajjad Tohidi

    (Department of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-16471, Iran)

  • Behnam Mohammadi-Ivatloo

    (Department of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-16471, Iran)

Abstract

This paper proposes a robust finite-time controller (FTC) for a permanent magnet synchronous generator (PMSG)-based wind turbine generator (WTG). An adaptive observer is used for the rotor angle, rotor speed, and turbine torque estimations of the PMSG, thus eliminating the use of anemometers. The robustness of the proposed FTC regarding parameter uncertainty and the external weak power grid is analyzed. The impacts of the power grid short-circuit ratio (SCR) at the point of common coupling (PCC) on the conventional proportional-integral (PI) controller and the proposed FTC are discussed. Case studies illustrate that the proposed observer-based FTC is able to estimate the mechanical variables accurately and provides robust control for WTGs with parameter uncertainty and weak power grids.

Suggested Citation

  • Roghayyeh Pourebrahim & Amin Mohammadpour Shotorbani & Fausto Pedro García Márquez & Sajjad Tohidi & Behnam Mohammadi-Ivatloo, 2021. "Robust Control of a PMSG-Based Wind Turbine Generator Using Lyapunov Function," Energies, MDPI, vol. 14(6), pages 1-22, March.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:6:p:1712-:d:520455
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    References listed on IDEAS

    as
    1. Rocha, Ronilson, 2011. "A sensorless control for a variable speed wind turbine operating at partial load," Renewable Energy, Elsevier, vol. 36(1), pages 132-141.
    2. González, L.G. & Figueres, E. & Garcerá, G. & Carranza, O., 2010. "Maximum-power-point tracking with reduced mechanical stress applied to wind-energy-conversion-systems," Applied Energy, Elsevier, vol. 87(7), pages 2304-2312, July.
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    Cited by:

    1. Kaiye Gao & Tianshi Wang & Chenjing Han & Jinhao Xie & Ye Ma & Rui Peng, 2021. "A Review of Optimization of Microgrid Operation," Energies, MDPI, vol. 14(10), pages 1-39, May.
    2. Cuauhtemoc Acosta Lúa & Domenico Bianchi & Salvador Martín Baragaño & Mario Di Ferdinando & Stefano Di Gennaro, 2023. "Robust Nonlinear Control of a Wind Turbine with a Permanent Magnet Synchronous Generator," Energies, MDPI, vol. 16(18), pages 1-19, September.

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