A mathematical model of wake speed behind wind turbine


Runlan Huang;Xuelan Zeng;Zhi Yu;


In this paper,the wake speed EHKLQG wind turbine is calculated based on the Betz theory and Glauert vortex theory,establishing mathematical models of nearfield wake speed,far-field wake speed and turbine group's wake speed,and implementing this on MATLAB platform.On-site wind data from a wind farm in Guangdong Province and foreign country are taken as case studies to verify effectiveness of the mathematical models of near-field wake speed and far-field wake speed.The results shows that:the average error of the near-field wake speed model is 15.7%,and that of far-field wake speed model is 5.1%,to be within an acceptable range and therefore be proof of correctness of the model.


wake speed;wind turbine;near-field wake;farfield wake;mathematical model


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Total: 13 articles

  • [1] CAO Na1, ZHAO Hai-xiang1, REN Pu-chun2, DAI Hui-zhu1 (1. China Electric Power Research Institute, Haidian District, Beijing 100085, China; 2. Northeast China Grid Company Limited, Shenyang 110006, Liaoning Province, China), Establish and Application of Wind Speed Model in Wind Farm Dynamic Analysis, Proceedings of the CSEE,
  • [2] G. P.van den Berg, Wind turbine power and sound in relation to atmospheric stability, Wind Energ.,
  • [3] Frank Neumann;Una-May O''Reilly;Kalyan Veeramachaneni;Markus Wagner, Optimizing the layout of 1000 wind turbines, European Wind Energy Association Annual Event,
  • [4] Zheng, Ruimin;;Li, Jianhua;;Li, Zuohong;;Liu, Yihua, Modeling of large-scale wind farms in the probabilistic power flow analysis considering wake effects, Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University,


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