Wind farm power production is known to be strongly affected by turbine wake effects.\nThe purpose of this study is to develop and test a new analytical model for the prediction of wind\nturbine wakes and the associated power losses in wind farms. The new model is an extension of\nthe one recently proposed by Bastankhah and Port�©-Agel for the wake of stand-alone wind turbines.\nIt satisfies the conservation of mass and momentum and assumes a self-similar Gaussian shape of the\nvelocity deficit. The local wake growth rate is estimated based on the local streamwise turbulence\nintensity. Superposition of velocity deficits is used to model the interaction of the multiple wakes.\nFurthermore, the power production from the wind turbines is calculated using the power curve.\nThe performance of the new analytical wind farm model is validated against power measurements\nand large-eddy simulation (LES) data from the Horns Rev wind farm for a wide range of wind\ndirections, corresponding to a variety of full-wake and partial-wake conditions. A reasonable\nagreement is found between the proposed analytical model, LES data, and power measurements.\nCompared with a commonly used wind farm wake model, the new model shows a significant\nimprovement in the prediction of wind farm power.
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