An analytical model for a full wind turbine wake

The Science of Making Torque from Wind

Keane, Aidan^1 ; Aguirre, Pablo E. Olmos^1 ; Ferchland, Hannah^1 ; Clive, Peter^1 ; Gallacher, Daniel^1

SgurrEnergy Ltd, 225 Bath Street, Glasgow

G2 4GZ, United Kingdom^1

关键词: Conservation of mass;    Fluid particles;    Free-stream velocity;    Jensen models;    Rotor disks;    Velocity deficits;    Wind turbine wakes;    Wind velocity distributions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/753/3/032039/pdf
DOI  :  10.1088/1742-6596/753/3/032039

来源: IOP

【 摘 要 】

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 Porté-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.