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Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method

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  • Zhou, J.W.
  • Zhang, W.
  • Jiang, X.
  • Zhai, E.D.

Abstract

The wind turbine blade is commonly treated as a non-uniform beam because of its high aspect ratio. The bend-twist coupled vibrations of the wind turbine blade occur when there exist the misalignments among the shear center, neutral axis and pressure center in the blade cross-section. The differential governing equations of motion for the rotating wind turbine blade are derived by Hamilton principle and solved by the transferred differential transformation method (TDTM). Due to the rotations, three terms, namely the tension, centrifugal and gyroscopic forces, are distinctively summarized and taken into account in the proposed model. The natural frequencies obtained by the TDTM are compared with both experimental and numerical simulations to validate the effectiveness of the proposed solving method. The influences of the tension, centrifugal and gyroscopic forces on the natural frequencies are investigated for the wind turbine blade. The mode veering phenomenon is found and explained by using the complex mode decomposition theory. The phase differences among the flap-wise, edge-wise and torsional motions are also explored by observing the whirling orbits at the blade tip.

Suggested Citation

  • Zhou, J.W. & Zhang, W. & Jiang, X. & Zhai, E.D., 2022. "Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method," Renewable Energy, Elsevier, vol. 188(C), pages 96-113.
    • Handle: RePEc:eee:renene:v:188:y:2022:i:c:p:96-113
    DOI: 10.1016/j.renene.2022.02.032
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    References listed on IDEAS

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    1. Schubel, P.J. & Crossley, R.J. & Boateng, E.K.G. & Hutchinson, J.R., 2013. "Review of structural health and cure monitoring techniques for large wind turbine blades," Renewable Energy, Elsevier, vol. 51(C), pages 113-123.
    2. Nouri, Reza & Vasel-Be-Hagh, Ahmad & Archer, Cristina L., 2020. "The Coriolis force and the direction of rotation of the blades significantly affect the wake of wind turbines," Applied Energy, Elsevier, vol. 277(C).
    3. Zuo, Haoran & Bi, Kaiming & Hao, Hong, 2020. "A state-of-the-art review on the vibration mitigation of wind turbines," Renewable and Sustainable Energy Reviews, Elsevier, vol. 121(C).
    4. Fu, Shifeng & Jin, Yaqing & Zheng, Yuan & Chamorro, Leonardo P., 2019. "Wake and power fluctuations of a model wind turbine subjected to pitch and roll oscillations," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
    5. Liu, Xiong & Lu, Cheng & Liang, Shi & Godbole, Ajit & Chen, Yan, 2017. "Vibration-induced aerodynamic loads on large horizontal axis wind turbine blades," Applied Energy, Elsevier, vol. 185(P2), pages 1109-1119.
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    Cited by:

    1. Niu, Yan & Wu, Meiqi & Yao, Minghui & Wu, Qiliang, 2022. "Dynamic instability and internal resonance of rotating pretwisted composite airfoil blades," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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