A new modified analytical model for wind-turbine wakes

Based on the BP model, a new modified analytical model is proposed to predict the wind velocity distribution of the wind turbine wake. The model is derived by assuming a linear expansion for the wake region and a Gaussian distribution for the velocity deficit in the wake. Based on the conservation of mass, the velocity deficit distribution in the near-wake regions is calculated by using this proposed model, which cannot be solved by the BP model. The expression of the normalized standard deviation of the Gaussian-like velocity deficit profiles in the BP model is modified by extrapolating the large eddy simulation (LES) data of real-scale wind-turbine wakes, which improves the prediction accuracy of the wind velocity distribution of the wind turbine wake on flat surfaces with different aerodynamic roughness. The velocity deficit profiles in the wake predicted by the proposed model and other common analytical models are compared to the LES data. The results show that the velocity deficit in the wake predicted by this model is in good agreement with the LES data and is more accurate than that of the results calculated by the Jensen, Frandsen and BP models. © 2022, Solar Energy Periodical Office Co., Ltd. All right reserved.