An analytical model for a full wind turbine wake

An analytical wind turbine wake model is proposed to predict the wind velocity distribution for all distances downwind of a wind turbine, including the near-wake. This wake model augments the Jensen model and subsequent derivations thereof, and is a direct generalization of that recently proposed by...

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Bibliographic Details
Published in:arXiv.org 2017-02
Main Authors: Keane, Aidan, Olmos Aguirre, Pablo E, Ferchland, Hannah, Clive, Peter, Gallacher, Daniel
Format: Article
Language:English
Subjects:
Actuator disc theory
Mathematical models
Velocity distribution
Wind speed
Wind turbines
Online Access:Get full text
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Summary:An analytical wind turbine wake model is proposed to predict the wind velocity distribution for all distances downwind of a wind turbine, including the near-wake. This wake model augments the Jensen model and subsequent derivations thereof, and is a direct generalization of that recently proposed by Bastankhah and Porte-Agel. The model is derived by applying conservation of mass and momentum in the context of actuator disk theory, and assuming a distribution of the double-Gaussian type for the velocity deficit in the wake. The physical solutions are obtained by appropriate mixing of the waked- and freestream velocity deficit solutions, reflecting the fact that only a portion of the fluid particles passing through the rotor disk will interact with a blade.
ISSN:2331-8422
DOI:10.48550/arxiv.1702.00166