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Variable speed wind turbines with maximum power extraction using singular perturbation theory

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  • Ganjefar, Soheil
  • Mohammadi, Ali

Abstract

This study proposes applying the singular perturbation theory for developing a model to determine the maximum power from a WECS (wind energy conversion system). Singular perturbation theory decomposes a dynamic system into a reduced-order subsystem comprised of slow and fast time scales. The optimal controller is designed and applied to the original system to achieve maximum power from a variable speed wind turbine. This control strategy is compared to PID (proportional-integral-derivative) and fuzzy controllers based on the TSR (Tip Speed Ratio) method. Simulations using MATLAB/Simulink confirm the effectiveness of the proposed control.

Suggested Citation

  • Ganjefar, Soheil & Mohammadi, Ali, 2016. "Variable speed wind turbines with maximum power extraction using singular perturbation theory," Energy, Elsevier, vol. 106(C), pages 510-519.
    • Handle: RePEc:eee:energy:v:106:y:2016:i:c:p:510-519
    DOI: 10.1016/j.energy.2016.03.095
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    Cited by:

    1. Abolvafaei, Mahnaz & Ganjefar, Soheil, 2020. "Maximum power extraction from wind energy system using homotopy singular perturbation and fast terminal sliding mode method," Renewable Energy, Elsevier, vol. 148(C), pages 611-626.
    2. He, Xiuqiang & Geng, Hua & Mu, Gang, 2021. "Modeling of wind turbine generators for power system stability studies: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 143(C).
    3. Song, Dongran & Yang, Jian & Cai, Zili & Dong, Mi & Su, Mei & Wang, Yinghua, 2017. "Wind estimation with a non-standard extended Kalman filter and its application on maximum power extraction for variable speed wind turbines," Applied Energy, Elsevier, vol. 190(C), pages 670-685.
    4. Tan, Xiaoqiang & Li, Chaoshun & Liu, Dong & Wang, He & Xu, Rongli & Lu, Xueding & Zhu, Zhiwei, 2023. "Multi-time scale model reduction strategy of variable-speed pumped storage unit grid-connected system for small-signal oscillation stability analysis," Renewable Energy, Elsevier, vol. 211(C), pages 985-1009.

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