IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v146y2020icp1818-1832.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148119311516
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2019.07.131?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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. 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.
    3. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Akintayo T. Abolude & Wen Zhou, 2018. "A Comparative Computational Fluid Dynamic Study on the Effects of Terrain Type on Hub-Height Wind Aerodynamic Properties," Energies, MDPI, vol. 12(1), pages 1-14, December.
    2. Wang, Xuefei & Zeng, Xiangwu & Li, Xinyao & Li, Jiale, 2019. "Investigation on offshore wind turbine with an innovative hybrid monopile foundation: An experimental based study," Renewable Energy, Elsevier, vol. 132(C), pages 129-141.
    3. Son, Chankyu & Kelly, Mark & Kim, Taeseong, 2021. "Boundary-layer transition model for icing simulations of rotating wind turbine blades," Renewable Energy, Elsevier, vol. 167(C), pages 172-183.
    4. Stoyanov, D.B. & Nixon, J.D. & Sarlak, H., 2021. "Analysis of derating and anti-icing strategies for wind turbines in cold climates," Applied Energy, Elsevier, vol. 288(C).
    5. Dong, Weiwei & Zhao, Guohua & Yüksel, Serhat & Dinçer, Hasan & Ubay, Gözde Gülseven, 2022. "A novel hybrid decision making approach for the strategic selection of wind energy projects," Renewable Energy, Elsevier, vol. 185(C), pages 321-337.
    6. Fahed Martini & Hussein Ibrahim & Leidy Tatiana Contreras Montoya & Patrick Rizk & Adrian Ilinca, 2022. "Turbulence Modeling of Iced Wind Turbine Airfoils," Energies, MDPI, vol. 15(22), pages 1-20, November.
    7. Akintayo Temiloluwa Abolude & Wen Zhou, 2018. "Assessment and Performance Evaluation of a Wind Turbine Power Output," Energies, MDPI, vol. 11(8), pages 1-15, August.
    8. Yang, Muchen & Xiao, Zhixiang, 2019. "Distributed roughness induced transition on wind-turbine airfoils simulated by four-equation k-ω-γ-Ar transition model," Renewable Energy, Elsevier, vol. 135(C), pages 1166-1177.
    9. Jiménez, Alfredo Arcos & García Márquez, Fausto Pedro & Moraleda, Victoria Borja & Gómez Muñoz, Carlos Quiterio, 2019. "Linear and nonlinear features and machine learning for wind turbine blade ice detection and diagnosis," Renewable Energy, Elsevier, vol. 132(C), pages 1034-1048.
    10. Gao, Linyue & Tao, Tao & Liu, Yongqian & Hu, Hui, 2021. "A field study of ice accretion and its effects on the power production of utility-scale wind turbines," Renewable Energy, Elsevier, vol. 167(C), pages 917-928.
    11. Ma, Liqun & Zhang, Zichen & Gao, Linyue & Liu, Yang & Hu, Hui, 2020. "An exploratory study on using Slippery-Liquid-Infused-Porous-Surface (SLIPS) for wind turbine icing mitigation," Renewable Energy, Elsevier, vol. 162(C), pages 2344-2360.
    12. Papi, Francesco & Balduzzi, Francesco & Ferrara, Giovanni & Bianchini, Alessandro, 2021. "Uncertainty quantification on the effects of rain-induced erosion on annual energy production and performance of a Multi-MW wind turbine," Renewable Energy, Elsevier, vol. 165(P1), pages 701-715.
    13. Sudhakar Gantasala & Narges Tabatabaei & Michel Cervantes & Jan-Olov Aidanpää, 2019. "Numerical Investigation of the Aeroelastic Behavior of a Wind Turbine with Iced Blades," Energies, MDPI, vol. 12(12), pages 1-24, June.
    14. Xiaoyi Qian & Yuxian Zhang & Mohammed Gendeel, 2019. "State Rules Mining and Probabilistic Fault Analysis for 5 MW Offshore Wind Turbines," Energies, MDPI, vol. 12(11), pages 1-18, May.
    15. Abel Arredondo-Galeana & Feargal Brennan, 2021. "Floating Offshore Vertical Axis Wind Turbines: Opportunities, Challenges and Way Forward," Energies, MDPI, vol. 14(23), pages 1-24, November.
    16. Fahed Martini & Adrian Ilinca & Patrick Rizk & Hussein Ibrahim & Mohamad Issa, 2022. "A Survey of the Quasi-3D Modeling of Wind Turbine Icing," Energies, MDPI, vol. 15(23), pages 1-32, November.
    17. Guo, Wenfeng & Shen, He & Li, Yan & Feng, Fang & Tagawa, Kotaro, 2021. "Wind tunnel tests of the rime icing characteristics of a straight-bladed vertical axis wind turbine," Renewable Energy, Elsevier, vol. 179(C), pages 116-132.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:146:y:2020:i:c:p:1818-1832. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.