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A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads

Author

Listed:
  • Jijian Lian

    (State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, China
    School of Civil Engineering, Tianjin University, Tianjin 300350, China)

  • Huan Zhou

    (State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, China
    School of Civil Engineering, Tianjin University, Tianjin 300350, China)

  • Xiaofeng Dong

    (State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300350, China
    School of Civil Engineering, Tianjin University, Tianjin 300350, China)

Abstract

Wind turbines (WTs) are exposed to a dynamic/cyclic load environment, and are subjected to 1P/3P loads under operational conditions. Recent studies introduced the Sommerfeld Effect to explain the dynamic response amplification induced by 1P/3P loads. This study establishes a theoretical model to analyze the resonance of WTs under 1P/3P loads. Sensitiveness analysis was conducted for parameters b , c , S , F , and T to explore their influence on the dynamic response. The resonance phenomenon induced by 1P/3P frequency passing the natural frequency is discussed. The results show that there is no Sommerfeld Effect in soft–stiff WTs. Only if the imbalance reaches a much higher value (19200 kg·m in this study) should the Sommerfeld Effect be considered for soft WTs; otherwise, it can be ignored. The 3P resonance appeared when the 3P frequency approached the natural frequency, but it was not the Sommerfeld Effect.

Suggested Citation

  • Jijian Lian & Huan Zhou & Xiaofeng Dong, 2022. "A Theoretical Approach for Resonance Analysis of Wind Turbines under 1P/3P Loads," Energies, MDPI, vol. 15(16), pages 1-15, August.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:16:p:5787-:d:884171
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    References listed on IDEAS

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    1. Jijian Lian & Ou Cai & Xiaofeng Dong & Qi Jiang & Yue Zhao, 2019. "Health Monitoring and Safety Evaluation of the Offshore Wind Turbine Structure: A Review and Discussion of Future Development," Sustainability, MDPI, vol. 11(2), pages 1-29, January.
    2. Jenny Niebsch & Ronny Ramlau & Thien T. Nguyen, 2010. "Mass and Aerodynamic Imbalance Estimates of Wind Turbines," Energies, MDPI, vol. 3(4), pages 1-15, April.
    3. Petrović, Vlaho & Jelavić, Mate & Baotić, Mato, 2015. "Advanced control algorithms for reduction of wind turbine structural loads," Renewable Energy, Elsevier, vol. 76(C), pages 418-431.
    4. Wei-Hua Hu & De-Hui Tang & Ming Wang & Jun-Le Liu & Zuo-Hua Li & Wei Lu & Jun Teng & Samir Said & Rolf. G. Rohrmann, 2020. "Resonance Monitoring of a Horizontal Wind Turbine by Strain-Based Automated Operational Modal Analysis," Energies, MDPI, vol. 13(3), pages 1-21, January.
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