Upwind Turbine Wake

This model applies a static reduction in wind speed due to the presence of a solitary upwind turbine.

Gaussian wake

The local velocity at a distance \(\bscalar{r}\) from the wake centreline (which may be offset from the hub position) is given by:

\[ \begin{equation} \bscalar{U = U_{ambient}\left( 1 - \Delta \exp\left(- \frac{r^{2}}{2W^{2}}\right) \right)} \end{equation} \]

where \(\bscalar{U_{ambient}}\) is the undisturbed wind speed, \(\bscalar{\Delta}\) is the fractional centre line velocity deficit, and \(\bscalar{W}\) is the width of the wake (the distance from the wake centre line at which the deficit is reduced to \(\exp(- \frac{1}{2})\) times the centre line value).

Last updated 26-02-2024