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A super-Gaussian theoretical model to calculate the near wake velocity distribution of wind turbine

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  • Liu, Guangyi
  • Yang, Qingshan

Abstract

To predict the velocity distribution of near wake behind an individual wind turbine, a super-Gaussian theoretical model is proposed in the present paper. Firstly, a super-Gaussian formula is assumed to describe the velocity profiles of near wake. Then, the momentum conservation equation is established, considering the effects of wake static pressure. In order to close the momentum equation, the Bernoulli equation is employed to build the correlation between the wake velocity and the wake static pressure. Finally, we establish the correlation between the characteristic scale parameter of super-Gaussian and the wake characteristic width, as well as the variation of the wake characteristics with downstream. The predicted values from the proposed analytical model are validated against the published wake data. The comparisons illustrate that the present theoretical model has the capacity to precisely calculate the near wake velocity.

Suggested Citation

  • Liu, Guangyi & Yang, Qingshan, 2026. "A super-Gaussian theoretical model to calculate the near wake velocity distribution of wind turbine," Renewable Energy, Elsevier, vol. 273(C).
    • Handle: RePEc:eee:renene:v:273:y:2026:i:c:s0960148126009560
    DOI: 10.1016/j.renene.2026.126130
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