In order to improve the prediction accuracy of the wake velocity in the vertical direction, an improved Jensen wake model is proposed in this paper, which is based on the assumption that the wake velocity presents a polynomial distribution in the vertical direction, and considering the influence on the natural wind speed at different heights on the wake velocity. A single wind turbine is taken as the research object, three models （Jensen model, Gaussian model and improved Jensen model） are used to simulate the wake velocity of the wind turbine respectively. On the basis of the improved Jensen model, the influence of atmospheric stability on wake velocity recovery is analyzed. The simulation results show that the accuracy of the improved wake model is better than that of Jensen model and Gaussian model, and the errors of the improved wake model are as low as 7.35%, 2.82% and 3.44% at 2.5D, 4.0D and 8.0D downstream （D is the diameter of the wind wheel）. The recovery of wake velocity is closely related to atmospheric stability. The more stable the atmospheric turbulence intensity is, the less conducive it is to the recovery of wake velocity.
Key words
wake /
wind farm /
wind turbines /
atmospheric stability /
polynomial distribution /
Jensen model
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References
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