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A numerical model for wind turbine wakes based on the vortex filament method

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  • Liu, Weiqi
  • Liu, Weixing
  • Zhang, Liang
  • Sheng, Qihu
  • Zhou, Binzhen

Abstract

A numerical wake model based on the vortex filament method is proposed to predict the velocity deficit in the wake of a horizontal axis wind turbine (HAWT). By solving the evolution of the vortex system behind the wind turbine, the model calculates the distribution of the downstream velocity indirectly with very low computational cost. Instead of the usual scheme of the vortex method, the more efficient and mature blade element momentum (BEM) theory is used for the blade aerodynamics and to initialize the calculation of the vortex system evolution. The model is tested by a published wind tunnel experiment of a miniature wind turbine. The numerical results agree well with the experimental data. It is found that the core growth of the vortex filaments due to turbulence mainly dominate the velocity deficit along the downstream distance in the wake. In addition, the generalization of the model to full-scale wind turbines is discussed and within the framework of the present model, a reasonable conclusion can be obtained: wakes of wind turbines with different scales are similar.

Suggested Citation

  • Liu, Weiqi & Liu, Weixing & Zhang, Liang & Sheng, Qihu & Zhou, Binzhen, 2018. "A numerical model for wind turbine wakes based on the vortex filament method," Energy, Elsevier, vol. 157(C), pages 561-570.
    • Handle: RePEc:eee:energy:v:157:y:2018:i:c:p:561-570
    DOI: 10.1016/j.energy.2018.05.191
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    References listed on IDEAS

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    Cited by:

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    2. Pavithra Premaratne & Wei Tian & Hui Hu, 2022. "A Proper-Orthogonal-Decomposition (POD) Study of the Wake Characteristics behind a Wind Turbine Model," Energies, MDPI, vol. 15(10), pages 1-22, May.
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    5. Wu, Baigong & Zhan, Mingjing & Wu, Rujian & Zhang, Xiao, 2023. "The investigation of a coaxial twin-counter-rotating turbine with variable-pitch adaptive blades," Energy, Elsevier, vol. 267(C).
    6. Liu, Heng-xu & Tian, Yi-nong & Liu, Wei-qi & Jin, Ye-qing & Kong, Fan-kai & Chen, Hai-long & Zhong, Yu-guang, 2023. "Aerodynamic interference characteristics of multiple unit wind turbine based on vortex filament wake model," Energy, Elsevier, vol. 268(C).
    7. Wenbin Su & Hongbo Wei & Penghua Guo & Qiao Hu & Mengyuan Guo & Yuanjie Zhou & Dayu Zhang & Zhufeng Lei & Chaohui Wang, 2021. "Research on Hydraulic Conversion Technology of Small Ocean Current Turbines for Low-Flow Current Energy Generation," Energies, MDPI, vol. 14(20), pages 1-19, October.
    8. Zheng Yuan & Jin Jiang & Jun Zang & Qihu Sheng & Ke Sun & Xuewei Zhang & Renwei Ji, 2020. "A Fast Two-Dimensional Numerical Method for the Wake Simulation of a Vertical Axis Wind Turbine," Energies, MDPI, vol. 14(1), pages 1-21, December.

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