A three-dimensional wake model for wind turbines based on the polynomial distribution of each anisotropy
A highly accurate wake model is of great significance for wind farm layout optimization and power genera-tion prediction.This paper proposes a more advanced three-dimensional wake model by fully considering the wind shear effect and the mass loss generated by the wind speed difference between wind shear and uniform flow.Unlike the previous Gaussian models,the proposed model assumes that the velocity distribution is polynomial in shape and adopts a more intuitive physical wake boundary.Additionally,considering the anisotropic expansion of the wake boundary,expressions for the expansion rates of the lateral and vertical wake boundaries are given,which allows the model to determine the expansion rates in both directions based only on the incoming wind conditions and wind turbine parameters.The prediction accuracy of the proposed model was verified using large eddy simulation data for onshore(I0=13.4%,9.4%)and offshore(I0 =6.9%,4.8%)wind conditions.The results show that the pro-posed model can better predict the vertical and lateral wake distribution of wind turbines with the smallest maximum and minimum errors than conventional models.
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