IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v76y2015icp264-282.html
   My bibliography  Save this article

Development of a reduced order model for nonlinear analysis of the wind turbine blade dynamics

Author

Listed:
  • Rezaei, Mohammad M.
  • Behzad, Mehdi
  • Haddadpour, Hassan
  • Moradi, Hamed

Abstract

In this paper, a reduced order model for the nonlinear dynamic analysis of the wind turbine blade under operational loading is presented. The accuracy and efficiency of the proposed model are investigated through various static and dynamic analyses. A comprehensive straightforward formulation for the nonlinear beam model is developed based on different large deformation strain theories. Also, the fluid-structure coupling effects due to quasi-steady aerodynamics and gravitational forces are included. The new matrix expressions are introduced for direct conversion of the developed formulation into the reduced order model (ROM). Thereafter, the ROM based on the Galerkin method is developed using all effective coupled modes of the blade (including the torsional modes which are neglected in the majority of previous works). The 5-MW National Renewable Energy Laboratory wind turbine blade is considered for the simulations. Presented results indicate the importance of torsional degrees of freedom; that neglecting them changes the trend of the system response apparently. Comparing with the results of full/complex finite element model, it is shown that the ROM with considering 11 coupled modes of the blade, guarantees the enough accuracy. The accordance of the proposed ROM for the Green–Lagrange and Jaummann–Biot–Cauchy strain theories is observed. However, for the case of ROM based on the Von Karman theory, the neglected large deformation kinematics leads to the inaccurate results. In addition to the coupled effect induced by the mass center offset, results show the importance of edgewise–torsional and edgewise–flapwise nonlinear coupled terms. These terms play a key role in transmission of harmonic excitation caused by gravitational loading from edgewise to the flapwise and torsional directions.

Suggested Citation

  • Rezaei, Mohammad M. & Behzad, Mehdi & Haddadpour, Hassan & Moradi, Hamed, 2015. "Development of a reduced order model for nonlinear analysis of the wind turbine blade dynamics," Renewable Energy, Elsevier, vol. 76(C), pages 264-282.
    • Handle: RePEc:eee:renene:v:76:y:2015:i:c:p:264-282
    DOI: 10.1016/j.renene.2014.11.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148114007368
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2014.11.021?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. Boukhezzar, B. & Lupu, L. & Siguerdidjane, H. & Hand, M., 2007. "Multivariable control strategy for variable speed, variable pitch wind turbines," Renewable Energy, Elsevier, vol. 32(8), pages 1273-1287.
    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. Rezaei, Mohammad M. & Behzad, Mehdi & Moradi, Hamed & Haddadpour, Hassan, 2016. "Modal-based damage identification for the nonlinear model of modern wind turbine blade," Renewable Energy, Elsevier, vol. 94(C), pages 391-409.
    2. Lin, Zi & Cevasco, Debora & Collu, Maurizio, 2020. "A methodology to develop reduced-order models to support the operation and maintenance of offshore wind turbines," Applied Energy, Elsevier, vol. 259(C).

    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. MacPhee, David W. & Beyene, Asfaw, 2015. "Experimental and Fluid Structure Interaction analysis of a morphing wind turbine rotor," Energy, Elsevier, vol. 90(P1), pages 1055-1065.
    2. Mérida, Jován & Aguilar, Luis T. & Dávila, Jorge, 2014. "Analysis and synthesis of sliding mode control for large scale variable speed wind turbine for power optimization," Renewable Energy, Elsevier, vol. 71(C), pages 715-728.
    3. Fan, Zhixin & Zhu, Caichao, 2019. "The optimization and the application for the wind turbine power-wind speed curve," Renewable Energy, Elsevier, vol. 140(C), pages 52-61.
    4. Yolanda Vidal & Leonardo Acho & Ningsu Luo & Mauricio Zapateiro & Francesc Pozo, 2012. "Power Control Design for Variable-Speed Wind Turbines," Energies, MDPI, vol. 5(8), pages 1-18, August.
    5. 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.
    6. Azizi, Askar & Nourisola, Hamid & Shoja-Majidabad, Sajjad, 2019. "Fault tolerant control of wind turbines with an adaptive output feedback sliding mode controller," Renewable Energy, Elsevier, vol. 135(C), pages 55-65.
    7. Nikita Tomin, 2023. "Robust Reinforcement Learning-Based Multiple Inputs and Multiple Outputs Controller for Wind Turbines," Mathematics, MDPI, vol. 11(14), pages 1-19, July.
    8. 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.
    9. 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.
    10. Chen, Jiahao & Hu, Zhiqiang & Liu, Geliang & Wan, Decheng, 2019. "Coupled aero-hydro-servo-elastic methods for floating wind turbines," Renewable Energy, Elsevier, vol. 130(C), pages 139-153.
    11. Ganjefar, Soheil & Mohammadi, Ali, 2016. "Variable speed wind turbines with maximum power extraction using singular perturbation theory," Energy, Elsevier, vol. 106(C), pages 510-519.
    12. Han, Chenlu & Nagamune, Ryozo, 2020. "Platform position control of floating wind turbines using aerodynamic force," Renewable Energy, Elsevier, vol. 151(C), pages 896-907.
    13. Amira Elkodama & Amr Ismaiel & A. Abdellatif & S. Shaaban & Shigeo Yoshida & Mostafa A. Rushdi, 2023. "Control Methods for Horizontal Axis Wind Turbines (HAWT): State-of-the-Art Review," Energies, MDPI, vol. 16(17), pages 1-32, September.
    14. Golnary, Farshad & Moradi, Hamed, 2022. "Identification of the dynamics of the drivetrain and estimating its unknown parts in a large scale wind turbine," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 50-69.
    15. Gao, Richie & Gao, Zhiwei, 2016. "Pitch control for wind turbine systems using optimization, estimation and compensation," Renewable Energy, Elsevier, vol. 91(C), pages 501-515.
    16. Helsen, Jan & Vanhollebeke, Frederik & Marrant, Ben & Vandepitte, Dirk & Desmet, Wim, 2011. "Multibody modelling of varying complexity for modal behaviour analysis of wind turbine gearboxes," Renewable Energy, Elsevier, vol. 36(11), pages 3098-3113.
    17. Shi, Fengming & Patton, Ron, 2015. "An active fault tolerant control approach to an offshore wind turbine model," Renewable Energy, Elsevier, vol. 75(C), pages 788-798.
    18. Dai, Juchuan & Liu, Deshun & Wen, Li & Long, Xin, 2016. "Research on power coefficient of wind turbines based on SCADA data," Renewable Energy, Elsevier, vol. 86(C), pages 206-215.
    19. Jain, Achin & Schildbach, Georg & Fagiano, Lorenzo & Morari, Manfred, 2015. "On the design and tuning of linear model predictive control for wind turbines," Renewable Energy, Elsevier, vol. 80(C), pages 664-673.
    20. Jelaska, Damir & Podrug, Srdjan & Perkušić, Milan, 2015. "A novel hybrid transmission for variable speed wind turbines," Renewable Energy, Elsevier, vol. 83(C), pages 78-84.

    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:76:y:2015:i:c:p:264-282. 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.