An Analytical Model for the Effect of Vertical Wind Veer on Wind Turbine Wakes

Mahdi Abkar, Jens Nørkær Sørensen and Fernando Porté-Agel
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Mahdi Abkar: Department of Engineering, Aarhus University, 8000 Aarhus C, Denmark
Jens Nørkær Sørensen: Department of Wind Energy, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
Fernando Porté-Agel: Wind Engineering and Renewable Energy Laboratory, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland

Energies, 2018, vol. 11, issue 7, 1-10

Abstract: In this study, an analytical wake model for predicting the mean velocity field downstream of a wind turbine under veering incoming wind is systematically derived and validated. The new model, which is an extended version of the one introduced by Bastankhah and Porté-Agel, is based upon the application of mass conservation and momentum theorem and considering a skewed Gaussian distribution for the wake velocity deficit. Particularly, using a skewed (instead of axisymmetric) Gaussian shape allows accounting for the lateral shear in the incoming wind induced by the Coriolis force. This analytical wake model requires only the wake expansion rate as an input parameter to predict the mean wake flow downstream. The performance of the proposed model is assessed using the large-eddy simulation (LES) data of a full-scale wind turbine wake under the stably stratified condition. The results show that the proposed model is capable of predicting the skewed structure of the wake downwind of the turbine, and its prediction for the wake velocity deficit is in good agreement with the high-fidelity simulation data.

Keywords: analytical wake model; large-eddy simulation; Coriolis force; vertical wind veer (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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