A mathematical model of wake speed behind wind turbine

In this paper, the wake speed behind wind turbine is calculated based on the Betz theory and Glauert vortex theory, establishing mathematical models of near-field 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.