Abstract
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.
Highlights
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
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
In 1983 Jensen [1] proposed the first analytical model for a wind turbine wake. This model has become the de facto industry standard, and has been developed further by Fransden et al [2] and more recently by Bastankhah and Porte-Agel [3]. These wake models are based upon mass and momentum conservation, and either a top-hat distribution [1], [2], or a Gaussian distribution [3] for the velocity deficit
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. In 1983 Jensen [1] proposed the first analytical model for a wind turbine wake This model has become the de facto industry standard, and has been developed further by Fransden et al [2] and more recently by Bastankhah and Porte-Agel [3]. These wake models are based upon mass and momentum conservation, and either a top-hat distribution [1], [2], or a Gaussian distribution [3] for the velocity deficit. Wake model derivation The technique presented in Bastankhah and Porte-Agel [3] shall be followed closely
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