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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 21, issue 2
Nonlin. Processes Geophys., 21, 379–392, 2014
https://doi.org/10.5194/npg-21-379-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
Nonlin. Processes Geophys., 21, 379–392, 2014
https://doi.org/10.5194/npg-21-379-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 12 Mar 2014

Research article | 12 Mar 2014

Multiscaling and joint multiscaling description of the atmospheric wind speed and the aggregate power output from a wind farm

R. Calif1 and F. G. Schmitt2 R. Calif and F. G. Schmitt
  • 1EA 4539, LARGE laboratoire en Géosciences et Énergies, Université des Antilles et de la Guyane, 97170 P-á-P, France
  • 2CNRS, UMR 8187 LOG Laboratoire d'Océanologie et de Géosciences, Université de Lille 1, 28 avenue Foch, 62930 Wimereux, France

Abstract. We consider here wind speed time series and the aggregate output wind power from a wind farm. We study their scaling statistics in the framework of fully developed turbulence and Kolmogorov's theory. We estimate their Fourier power spectra and consider their scaling properties in the physical space. We show that the atmospheric wind speed and the aggregate power output from a wind farm are intermittent and multifractal over a wide range of scales. The coupling between simultaneous data of the wind speed and aggregate power output is investigated through a joint multifractal description using the generalized correlation functions (GCFs). This multiscaling test is compatible with a linear relation between the wind speed and the aggregate power output fluctuations for timescales T ⩾ 103 s ≃ 15 min.

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