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Dynamic modeling and free vibration analysis of horizontal axis wind turbine blades in the flap-wise direction

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  • Jokar, H.
  • Mahzoon, M.
  • Vatankhah, R.

Abstract

The dynamic modeling and free vibration analysis of horizontal axis wind turbine (HAWT) blades in the flap-wise direction are addressed in this paper. Blade kinetic and potential energy are evaluated while taking into account the influences of gravity force, centrifugal force, and the blade rotary inertia. Using Hamilton's principle, a nonlinear partial differential equation with time and space varying coefficients together with appropriate boundary conditions is derived as a novel and comprehensive dynamic model for the blade vibration in the flap-wise direction. After linearizing and simplifying the nonlinear model, the Rayleigh-Ritz method is employed to find natural frequencies and their associated mode shapes. Furthermore, the National Renewable Energy Laboratory (NREL) 5-MW reference wind turbine is chosen to investigate the effects of the rotary inertia, angular velocity, hub radius, pitch and precone angles on its dynamic characteristics. It is shown that increasing the hub radius and the angular velocity or decreasing the rotary inertia, significantly increases the natural frequencies while design parameters such as pitch or precone angles slightly affect the dynamic characteristics of the blades. The accuracy of the simplified model is also verified by comparing results for natural frequencies with some existing data in the literature.

Suggested Citation

  • Jokar, H. & Mahzoon, M. & Vatankhah, R., 2020. "Dynamic modeling and free vibration analysis of horizontal axis wind turbine blades in the flap-wise direction," Renewable Energy, Elsevier, vol. 146(C), pages 1818-1832.
    • Handle: RePEc:eee:renene:v:146:y:2020:i:c:p:1818-1832
    DOI: 10.1016/j.renene.2019.07.131
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    References listed on IDEAS

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    1. Zanon, Alessandro & De Gennaro, Michele & Kühnelt, Helmut, 2018. "Wind energy harnessing of the NREL 5 MW reference wind turbine in icing conditions under different operational strategies," Renewable Energy, Elsevier, vol. 115(C), pages 760-772.
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    1. Chen, Chuan & Zhou, Jing-wei & Li, Fengming & Zhai, Endi, 2022. "Stall-induced vibrations analysis and mitigation of a wind turbine rotor at idling state: Theory and experiment," Renewable Energy, Elsevier, vol. 187(C), pages 710-727.
    2. Nakhchi, M.E. & Naung, S. Win & Dala, L. & Rahmati, M., 2022. "Direct numerical simulations of aerodynamic performance of wind turbine aerofoil by considering the blades active vibrations," Renewable Energy, Elsevier, vol. 191(C), pages 669-684.
    3. Amna Algolfat & Weizhuo Wang & Alhussein Albarbar, 2022. "Study of Centrifugal Stiffening on the Free Vibrations and Dynamic Response of Offshore Wind Turbine Blades," Energies, MDPI, vol. 15(17), pages 1-19, August.

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