Experimental study on wind field of three-dimensional wake model considering the influence of wind shear

Aiming at the problem that the current wind turbine wake model can only describe the wake distribution in the far wake region and ignores the wake characteristics in the near wake region, this paper derives a new three-dimensional wake model based on the double-Gaussian function, using the flow conservation theorem and through rotation correction. The wake model considers the influence of wind shear and is able to describe the three-dimensional wake distribution characteristics in the near wake region and the far wake region. Wind field experiments were carried out with two ground-based scanning laser radars. The experimental data shows that the distribution of near wake in the horizontal direction has the symmetrical double-Gaussian shape, and the distribution of far wake area has the symmetrical Gaussian shape, while due to the influence of wind shear in the vertical direction, the distribution of wake in the near wake area has the asymmetrical double-Gaussian shape, and the distribution of far wake area has the asymmetrical Gaussian shape. The horizontal and vertical profiles predicted by the three-dimensional wake model are compared and verified by using the measured data. The validation results show that the prediction curves of the three-dimensional wake model are in good agreement with the experimental data, and the average relative errors are mostly within 5%. The newly proposed three-dimensional wake model can better predict the spatial distribution of the whole wake area downstream of the wind turbine and can provide an optimization scheme for the layout of the wind farm.