Abstract
In this work, we explore the spanwise velocities in the wake of a yawed wind turbine. In the curled wake model, these motions are induced by a collection of vortices shed from the rotor plane. The direction of the vorticity generated by yaw is aligned with the main flow (streamwise) direction. The streamwise vorticity induces velocities in the spanwise directions. These are the motions responsible for creating the curled wake mechanism. In this work, we explore a more accurate formulation for this mechanism, using a vortex cylinder. Under certain assumptions, the new and original curled wake models yield the same mathematical formulation. Also, both models predict an elliptic distribution of vortex strength, where the main difference is the location of the vortices.
Highlights
When a wind turbine is yawed with respect to the inflow velocity, a curled wake profile is produced
The curled wake mechanism has been explained in the literature as a collection of counter-rotating vortices shed from the rotor plane [1, 2, 3, 4]
We show the equivalence between the equations that defines the original formulation of the curled wake model [4] and the new formulation
Summary
When a wind turbine is yawed with respect to the inflow velocity, a curled wake profile is produced. The curled wake mechanism has been explained in the literature as a collection of counter-rotating vortices shed from the rotor plane [1, 2, 3, 4]. This explanation is analogous to the formation of vortices along the span of a wing and has been shown to agree well with numerical simulations and experimental measurements [4]. We use a vorticity formulation to understand how when the wind turbine is yawed, a streamwise component of vorticty is generated This component of vorticity induces velocities in a plane parallel to the rotor, deforming the wake and creating the curled wake shape.
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