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Robust control of the variable speed wind turbines in the presence of uncertainties: A comparison between H∞ and PID controllers

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  • Moradi, Hamed
  • Vossoughi, Gholamreza

Abstract

To achieve a cost-effective and reliable use of wind power generation, advanced control techniques are required. In this paper, the application of two control strategies for the improvement of wind turbine power output is investigated in the presence of model/environmental uncertainties. Rotational speed of the wind turbine and consequently its power output are controlled via manipulation of blades pitch angle (at a constant generator torque). First, the classical PID controller is designed based on root locus analysis while in the second scheme, an H∞-robust controller is designed via μ-synthesis based on DK-iteration algorithm. Performance of the two controllers in tracking of the desired power outputs (including the step, sequence of steps, ramp and sinusoidal signals) is compared. Results are presented for various profiles of the wind speed. It is shown that H∞ controller guarantees the robust stability and performance of the uncertain systems. Moreover, when H∞ controller is implemented, less oscillatory behaviour is observed for both of the output power and pitch angles (which are desired for the electric grid and actuating systems, respectively).

Suggested Citation

  • Moradi, Hamed & Vossoughi, Gholamreza, 2015. "Robust control of the variable speed wind turbines in the presence of uncertainties: A comparison between H∞ and PID controllers," Energy, Elsevier, vol. 90(P2), pages 1508-1521.
    • Handle: RePEc:eee:energy:v:90:y:2015:i:p2:p:1508-1521
    DOI: 10.1016/j.energy.2015.06.100
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    7. Mseddi, Amina & Le Ballois, Sandrine & Aloui, Helmi & Vido, Lionel, 2019. "Robust control of a wind conversion system based on a hybrid excitation synchronous generator: A comparison between H∞ and CRONE controllers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 158(C), pages 453-476.
    8. Lasheen, Ahmed & Saad, Mohamed S. & Emara, Hassan M. & Elshafei, Abdel Latif, 2017. "Continuous-time tube-based explicit model predictive control for collective pitching of wind turbines," Energy, Elsevier, vol. 118(C), pages 1222-1233.
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    10. Shen, He & Ruiz, Alexis & Li, Ni, 2023. "Fast online reinforcement learning control of small lift-driven vertical axis wind turbines with an active programmable four bar linkage mechanism," Energy, Elsevier, vol. 262(PA).
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    12. Golnary, Farshad & Moradi, Hamed, 2018. "Design and comparison of quasi continuous sliding mode control with feedback linearization for a large scale wind turbine with wind speed estimation," Renewable Energy, Elsevier, vol. 127(C), pages 495-508.
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    14. Wakui, Tetsuya & Yoshimura, Motoki & Yokoyama, Ryohei, 2017. "Multiple-feedback control of power output and platform pitching motion for a floating offshore wind turbine-generator system," Energy, Elsevier, vol. 141(C), pages 563-578.
    15. Yanwei Jing & Hexu Sun & Lei Zhang & Tieling Zhang, 2017. "Variable Speed Control of Wind Turbines Based on the Quasi-Continuous High-Order Sliding Mode Method," Energies, MDPI, vol. 10(10), pages 1-21, October.
    16. Song, Dongran & Yang, Jian & Dong, Mi & Joo, Young Hoon, 2017. "Model predictive control with finite control set for variable-speed wind turbines," Energy, Elsevier, vol. 126(C), pages 564-572.
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    18. Mourad Yessef & Badre Bossoufi & Mohammed Taoussi & Saad Motahhir & Ahmed Lagrioui & Hamid Chojaa & Sanghun Lee & Byeong-Gwon Kang & Mohamed Abouhawwash, 2022. "Improving the Maximum Power Extraction from Wind Turbines Using a Second-Generation CRONE Controller," Energies, MDPI, vol. 15(10), pages 1-23, May.
    19. Song, Dongran & Yang, Jian & Su, Mei & Liu, Anfeng & Cai, Zili & Liu, Yao & Joo, Young Hoon, 2017. "A novel wind speed estimator-integrated pitch control method for wind turbines with global-power regulation," Energy, Elsevier, vol. 138(C), pages 816-830.
    20. Jinghan Cui & Su Liu & Jinfeng Liu & Xiangjie Liu, 2018. "A Comparative Study of MPC and Economic MPC of Wind Energy Conversion Systems," Energies, MDPI, vol. 11(11), pages 1-23, November.
    21. Shrabani Sahu & Sasmita Behera, 2022. "A review on modern control applications in wind energy conversion system," Energy & Environment, , vol. 33(2), pages 223-262, March.
    22. Guerine, A. & El Hami, A. & Walha, L. & Fakhfakh, T. & Haddar, M., 2017. "Dynamic response of wind turbine gear system with uncertain-but-bounded parameters using interval analysis method," Renewable Energy, Elsevier, vol. 113(C), pages 679-687.
    23. Yuan Song & Taesu Jeon & Insu Paek & Bayasgalan Dugarjav, 2022. "Design and Validation of Pitch H-Infinity Controller for a Large Wind Turbine," Energies, MDPI, vol. 15(22), pages 1-15, November.
    24. Junejo, Allah Rakhio & Gilal, Nauman Ullah & Doh, Jaehyeok, 2023. "Physics-informed optimization of robust control system to enhance power efficiency of renewable energy: Application to wind turbine," Energy, Elsevier, vol. 263(PB).

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