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Kharitonov Theorem Based Robust Stability Analysis of a Wind Turbine Pitch Control System

Author

Listed:
  • Aitor Saenz-Aguirre

    (Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country (UPV/EHU), Avenida Otaola 29, 20600 Eibar, Spain)

  • Ekaitz Zulueta

    (Automatic Control and System Engineering Department, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain)

  • Unai Fernandez-Gamiz

    (Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain)

  • Daniel Teso-Fz-Betoño

    (Automatic Control and System Engineering Department, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain)

  • Javier Olarte

    (Automatic Control and System Engineering Department, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain
    Bcare, C/Albert Einstein 48, 01510 Miñano, Álava, Spain
    Centro de Investigación Cooperativa de Energías Alternativas (CIC energiGUNE), Basque Research and Technology Alliance (BRTA), 01006 Vitoria-Gasteiz, Spain)

Abstract

Wind energy has recently become one of the most prominent technologies among electrical energy generation systems. As a result, wind-based renewable energy generation systems are incessantly growing, and wind turbines of different characteristics are being installed in many locations around the world. One drawback associated with different characteristics of the wind turbines is that controllers have to be designed individually for each of them. Additionally, stable performance of the wind turbines needs to be ensured in the whole range of their operating conditions. Nowadays, there are many causes for uncertainties in the actual performance of a horizontal axis wind turbine, such as variations in the characteristics of the wind turbine, fabrication tolerances of its elements or non-linearities related to different operating-points. Hence, in order to respond to these uncertainties and ensure the stability of the wind turbine, robust control and stability theories have been gaining importance during recent years. Nevertheless, the use of robust stability analyses with complex wind turbine models still needs to be faced and remarkably improved. In this paper, a stability analysis of the pitch system control of a horizontal axis wind turbine based on the Kharitonov robust stability method is proposed. The objective was to assess the robust stability of a pitch controller in response to uncertainties arising from varying operating conditions of the National Renewable Energies Laboratory (NREL) 5 MW class IIA wind turbine. According to the results, the proposed method could satisfactorily respond to limited variations in the characteristics of the model, but could lack accuracy in cases of bigger variations or employment of high order complex mathematical models.

Suggested Citation

  • Aitor Saenz-Aguirre & Ekaitz Zulueta & Unai Fernandez-Gamiz & Daniel Teso-Fz-Betoño & Javier Olarte, 2020. "Kharitonov Theorem Based Robust Stability Analysis of a Wind Turbine Pitch Control System," Mathematics, MDPI, vol. 8(6), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:964-:d:370562
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    References listed on IDEAS

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    1. Yuan, Yuan & Chen, Xu & Tang, J., 2020. "Multivariable robust blade pitch control design to reject periodic loads on wind turbines," Renewable Energy, Elsevier, vol. 146(C), pages 329-341.
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    Cited by:

    1. Paolo Mercorelli, 2022. "Robust Control as a Mathematical Paradigm for Innovative Engineering Applications," Mathematics, MDPI, vol. 10(23), pages 1-4, November.

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