Boundary-Layer Meteorology

, Volume 64, Issue 3, pp 297–305 | Cite as

Reduction of horizontal wind speed in a boundary layer with obstacles

  • Stefan Emeis
  • Sten Frandsen
Research Notes

Abstract

The reduction of horizontal wind speed at hub height in an infinite cluster of wind turbines is computed from a balance between a loss of horizontal momentum due to the drag and replenishment from above by turbulent fluxes. This reduction is derived without assumptions concerning the vertical wind profile above or below hub height, only some basic assumptions on turbulent exchange have been made. Two applications of the result are presented, one considering wind turbines and one pressure drag on orographic obstacles in the atmospheric boundary layer. Both applications are basically governed by the same kind of momentum balance.

Keywords

Boundary Layer Wind Speed Wind Turbine Basic Assumption Atmospheric Boundary Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bossanyi, E. A., Maclean, C., Whittle, G. E., Dunn, P. D., Lipman, N. H. and Musgrove, P. J.: 1980, ‘The Efficiency of Wind Turbine Clusters’,Proceedings of the Third Intern. Symposium on Wind Energy Systems, Lyngby (DK), August 26–29, 1980, pp. 401–416.Google Scholar
  2. Emeis, S.: 1990, ‘Pressure Drag of Obstacles in the Atmospheric Boundary Layer’,J. Appl. Meteorol. 29, 461–476.Google Scholar
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  4. Jensen, N. O.: 1978, ‘Change of Surface Roughness and the Planetary Boundary Layer’,Quart. J. Roy. Meteorol. Soc. 104, 351–356.Google Scholar
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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Stefan Emeis
    • 1
    • 2
  • Sten Frandsen
    • 1
    • 2
  1. 1.Institut für Meteorologie und KlimaforschungKernforschungszentrum/Universität KarlsruheKarlsruheGermany
  2. 2.Risø National LaboratoryRoskildeDenmark

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