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Physics of Wind Parks

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Wind Energy Meteorology

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Abstract

The assessment of meteorological conditions in wind parks needs special treatment because here the flow approaching most of the turbines in the park interior is no longer undisturbed. Wakes produced by upwind turbines can massively influence downwind turbines.

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Notes

  1. 1.

    The thrust coefficient is the ratio of resistance force T to the dynamic force 0.5u²0D (rotor area D). The resistance force of an ideal turbine is given by T = 0.5u0²A[4r(1 − r)] with r = (u0 − u*h)/u0. u*h is the mean of uh and u0. We have u*h = u0 (1 – r). Thus, CT = [4r(1 − r)]. For uh = 0 it follows u*h = 0.5u0, r = 0.5 and CT = 1. For uh = u0 follows u*h = u0, r = 0 and CT = 0. The yield is P = Tu*h = 0.5u 30 A[4r(1 − r)2] and the yield coefficient is CP = [4r(1 − r)2]. For optimal yield at the Betz‘s limit is r = 1/3 (calculated from ∂CP(r)/∂r = 0) and CT = 8/9 (Manwell et al. 2010)

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  1. Institut für Meteorologie und Klimaforschung, Karlsruher Institut für Technologie, Garmisch-Partenkirchen, Germany

    Stefan Emeis

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Emeis, S. (2018). Physics of Wind Parks. In: Wind Energy Meteorology. Green Energy and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-72859-9_6

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  • DOI: https://doi.org/10.1007/978-3-319-72859-9_6

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