Study of wind turbine wake model based on Frandsen wake radius hypothesis

Based on the Frandsen nonlinear wake radius hypothesis, the Frandsen Gaussian wake velocity model was modified by considering the influence of environmental turbulence intensity and thrust coefficient, and the Frandsen double Gaussian turbulence intensity model was proposed. Taking a 600 kW wind turbine as an example, a wind tunnel test and large eddy simulation were carried out to verify the accuracy of the two modified wake models. The results show that the Frandsen Gaussian modified wake velocity model can achieve a better prediction of wake along the radial direction. The average error of the modified wake model drops to 7%, which is much smaller than the error of original Frandsen velocity model. The Frandsen double Gaussian turbulence intensity model is able to capture the real characteristics of turbulence intensity in the wake field. Both modified wake models are capable of providing better predictions of wake field than original Frandsen wake models, and can be serviced as new wake models in practice. © 2022, Solar Energy Periodical Office Co., Ltd. All right reserved.