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Wake Expansion Models

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Part of the book series: Research Topics in Wind Energy ((RTWE,volume 7))

Abstract

Different models of wake expansion are presented in this chapter: the 1D momentum theory model, the cylinder analog model and Theodorsen’s model. Far wake models such as the ones from Frandsen or Rathmann or only briefly mentioned. The different models are compared to each other. Results from this chapter are used in Chap. 16 to link near-wake and far-wake parameters and in Chap. 20 to study the influence of expansion on tip-losses.

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References

  1. S. Frandsen, R. Barthelmie, S. Pryor, O. Rathmann, S. Larsen, J. Højstrup, M. Thøgersen, Analytical modelling of wind speed deficit in large offshore wind farms. Wind Energy 9(1–2), 39–53 (2006)

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  2. M. Gaunaa, N.N. Sørensen, M. Døssing, Prediction of steady aerodynamic performance of rotors with winglets using simple prescribed wake methods, in AIAA Aerospace Sciences Meeting, vol. 543 (2011)

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  3. P.B.S. Lissaman, Energy effectiveness of arbitrary arrays of wind turbines. J. Energy 3(6), 323–328 (1979)

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  4. O. Rathmann, R. Barthelmie, S. Frandsen, Turbine wake model for wind resource software, in Proceedings of EWEC (2006)

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  5. T. Theodorsen, Theory of Propellers (McGraw-Hill publications in aeronautical science. McGraw-Hill Book Company, New-York, 1948)

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Correspondence to Emmanuel Branlard .

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Branlard, E. (2017). Wake Expansion Models. In: Wind Turbine Aerodynamics and Vorticity-Based Methods. Research Topics in Wind Energy, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-55164-7_15

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  • DOI: https://doi.org/10.1007/978-3-319-55164-7_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55163-0

  • Online ISBN: 978-3-319-55164-7

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