Katić mixed wake model

The Katić-Højstrup-Jensen wake model is a basic model to calculate the effect on the wind speed at a turbine from the farm upstream turbines: ε = 1-U_wake/U_upstream = sum_i(ε_i^2) with ε_i = (1-sqrt(1-C_T))/(1+2k(x_i/D))², where D is the diameter of the rotor, C_T is the thrust coefficient, k is the wake decay coefficient, and x_i is the distance parallel to the wind direction to the upstream turbine i.

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Variant of 1

wake model

Has inputs 1

wake expansion factor

Has variants 1

Katić mixed wake model with overlap

Notes

We have not described the model for determining the upstream wind tubines nor mentioned mirror turbines to take into account the ground effect.

References

I. Katić, J. Højstrup, and N. O.Jensen. A simple model for cluster efficiency. In Proceedings of EWEC’86, volume 1, pages 407–410. Rome, 1987.
John Twidell (ed.) Offshore Wind Power, Chapter 4, Eq. 21.
PhD Thesis ‘Great expectations for offshore wind turbines’. Michiel Zaaijer, 2013, p. 237.

Contributed by

S. Sanchez Perez Moreno (TU Delft), E.R.G. Quaeghebeur (TU Delft)

Cite the database: Quaeghebeur, E., Sanchez Perez-Moreno, S., and Zaaijer, M. B.: WESgraph: a graph database for the wind farm domain, Wind Energ. Sci., 5, 259–284, 2020. doi:10.5194/wes-5-259-2020

This page: https://wesgraph.anemona.io/concept/katic-mixed-wake-model/