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ISSN 0254-0096 CN 11-2082/K

太阳能学报 ›› 2022, Vol. 43 ›› Issue (10): 202-209.DOI: 10.19912/j.0254-0096.tynxb.2021-0349

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基于Frandsen尾流半径假设的风力机尾流模型研究

魏歆蕊, 黄铭枫   

  1. 浙江大学建筑工程学院结构工程研究所,杭州 310058
  • 收稿日期:2021-04-02 出版日期:2022-10-28 发布日期:2023-04-28
  • 通讯作者: 黄铭枫(1976——),男,博士、教授,主要从事结构风工程和风能方面的研究。mfhuang@zju.edu.cn
  • 基金资助:
    科技部政府间国际科技创新合作重点专项(2018YFE0109500); 浙江省自然科学基金委员会重点项目(LZ22E080006)

STUDY OF WIND TURBINE WAKE MODEL BASED ON FRANDSEN WAKE RADIUS HYPOTHESIS

Wei Xinrui, Huang Mingfeng   

  1. Institute of Structural Engineering, Zhejiang University, Hangzhou 310058, China
  • Received:2021-04-02 Online:2022-10-28 Published:2023-04-28

摘要: 在Frandsen非线性尾流半径假设的基础上,推导得出考虑环境湍流强度和风力机推力系数影响的Frandsen高斯修正尾流速度模型,并提出Frandsen双高斯湍流强度模型。以600 kW单风力机为案例,通过开展风洞试验和大涡模拟2种研究手段验证2个修正模型的预测效果。结果表明,Frandsen高斯修正尾流速度模型在径向尾流上预测效果更好,模型平均误差下降至7%,优于Frandsen速度模型。Frandsen双高斯湍流强度模型则能更好反映实际湍流强度在尾流场的变化特征。2种修正模型均比传统模型具有更好的预测效果,为风力机设计提供了新的尾流模型。

关键词: 风力机, 尾流, 高斯分布, 风洞试验, 数值模拟

Abstract: Based on the Frandsen nonlinear wake radius hypothesis, the Frandsen Gaussian wake velocity model was modified by considering the influence of environmental turbulence intensity and thrust coefficient, and the Frandsen double Gaussian turbulence intensity model was proposed. Taking a 600 kW wind turbine as an example, a wind tunnel test and large eddy simulation were carried out to verify the accuracy of the two modified wake models. The results show that the Frandsen Gaussian modified wake velocity model can achieve a better prediction of wake along the radial direction. The average error of the modified wake model drops to 7%, which is much smaller than the error of original Frandsen velocity model. The Frandsen double Gaussian turbulence intensity model is able to capture the real characteristics of turbulence intensity in the wake field. Both modified wake models are capable of providing better predictions of wake field than original Frandsen wake models, and can be serviced as new wake models in practice.

Key words: wind turbines, wakes, Gaussian distribution, wind tunnel test, numerical simulation

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