Turbulence in waked wind turbine wakes: Similarity and empirical formulae

Yi Zhang, Zhaobin Li, Xiaohao Liu, Fotis Sotiropoulos and Xiaolei Yang

Renewable Energy, 2023, vol. 209, issue C, 27-41

Abstract: Turbulence of wind turbine wakes increases the power fluctuations and dynamic loads of downwind turbines. In this work, we analyze the large-eddy simulation (LES) data of the Horns Rev wind farm, and find that the streamwise variations of the Reynolds normal stresses in the wakes of the waked wind turbines located in different rows collapse well with each other for both rise and decay portions when they are normalized using the maxima. Empirical formulae in the form of a power function are then proposed to describe the streamwise variations of the Reynolds normal stresses for different blade spanwise positions. Notably, linear relations are observed between the exponent and the coefficient. The LES data of the two tandem wind turbine cases with different inflows and turbine spacings are then employed to test the proposed empirical formulae. The tests show that the empirical formulae can capture the downstream variations of the Reynolds normal stresses especially for the streamwise component.

Keywords: Wind turbine wake; Similarity; Empirical formulae; Reynolds normal stress (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:renene:v:209:y:2023:i:c:p:27-41

DOI: 10.1016/j.renene.2023.03.068

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