Saarblitz, Wind farm in HDR,, creative commons by-nc-sa 2.0

Infinite Wind Farm

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The test case is offered to participants of the IEA Task 31 Wakebench


The goal of this test case is to investigate the number of turbines that is necessary for an asymptotic deficit state to be reached depending on different parameters, as well as on the flow characteristics associated to this state.

Two cases will be modeled for this study:

a) a large (but finite) number of turbines

b) an idealized case with an “infinite” number of turbines, where simulations are made either considering periodic boundary conditions in the streamwise direction, or using analytical models (see e.g. Peña and Rathmann 2013 [1]) to predict the flow in the limit of an infinite number of turbines.

Case a) is compared to case b) to determine how many turbines are needed to reach an asymptotic wake state (and to verify that the same final converged wake state is reached).

Additional articles that can give information relevant to this test case are for example Frandsen [2], Meyers and Meneveau [3], Rathman et al. [4], Jensen, Calaf et al. [5].


[1] Peña, A., Rathman, O. Atmospheric stability-dependent infinite wind-farm models and the wake-decay coefficient. Wind Energy. DOI: 10.1002/we.1632. (2013)

[2] Frandsen, S. On the wind speed reduction in the center of large clusters of wind turbines. Journal of Wind Engineering and Industrial Aerodynamics 39, 251 (1992)

[3] Meyers, J., Meneveau, C. Optimal turbine spacing in fully developed wind-farm boundary layers. Wind Energy 15, 305 (2012) -317

[4] Rathman, O.S., Frandsen, S., Nielsen, M. Wake decay constant for the infinite wind turbine array. European Wind Energy Conference, Warsaw, 2010.

[5] Calaf, M., Meneveau, C., Meyers, J. Large eddy simulation study of fully developed wind-turbine array boundary layers. Physics of Fluids 22, 015110 (2010)

[6] Andersen, SJ, Sorensen, JN, Mikkelsen, R. Simulation of the inherent turbulence and wake interaction inside an innitely long row of wind turbines. Journal of Turbulence 14; 1-24 (2013)