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The k‐ϵ‐fP model applied to wind farms
Authors:M. Paul van der Laan  Niels N. Sørensen  Pierre‐Elouan Réthoré  Jakob Mann  Mark C. Kelly  Niels Troldborg  Kurt S. Hansen  Juan P. Murcia
Affiliation:1. Department of Wind Energy, Technical University of Denmark, Ris? campus, Roskilde, Denmark;2. Department of Wind Energy, Technical University of Denmark, Lyngby campus, Kgs. Lyngby, Denmark
Abstract:The recently developed k?fP eddy‐viscosity model is applied to one on‐shore and two off‐shore wind farms. The results are compared with power measurements and results of the standard k? eddy‐viscosity model. In addition, the wind direction uncertainty of the measurements is used to correct the model results with a Gaussian filter. The standard k? eddy‐viscosity model underpredicts the power deficit of the first downstream wind turbines, whereas the k?fP eddy‐viscosity model shows a good agreement with the measurements. However, the difference in the power deficit predicted by the turbulence models becomes smaller for wind turbines that are located further downstream. Moreover, the difference between the capability of the turbulence models to estimate the wind farm efficiency reduces with increasing wind farm size and wind turbine spacing. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:k‐ϵ   eddy‐viscosity model  wind turbine wake interaction  actuator disk  CFD  RANS  LES  wind direction uncertainty
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