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Multifractal analysis of the time series of daily means of wind speed in complex regions

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  • Laib, Mohamed
  • Golay, Jean
  • Telesca, Luciano
  • Kanevski, Mikhail

Abstract

In this paper, we applied the multifractal detrended fluctuation analysis to the daily means of wind speed measured by 119 weather stations distributed over the territory of Switzerland. The analysis was focused on the inner time fluctuations of wind speed, which could be linked with the local conditions of the highly varying topography of Switzerland. Our findings point out to a persistent behaviour of almost all measured wind speed series (indicated by a Hurst exponent larger than 0.5), and to a high multifractality degree indicating a relative dominance of the large fluctuations in the dynamics of wind speed, especially on the Swiss Plateau, which is comprised between the Jura and Alps mountain ranges. The study represents a contribution to the understanding of the dynamical mechanisms of wind speed variability in mountainous regions.

Suggested Citation

  • Laib, Mohamed & Golay, Jean & Telesca, Luciano & Kanevski, Mikhail, 2018. "Multifractal analysis of the time series of daily means of wind speed in complex regions," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 118-127.
  • Handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:118-127
    DOI: 10.1016/j.chaos.2018.02.024
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    1. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    2. Ikeda, Taro, 2018. "Multifractal structures for the Russian stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2123-2128.
    3. Telesca, Luciano & Lovallo, Michele & Kanevski, Mikhail, 2016. "Power spectrum and multifractal detrended fluctuation analysis of high-frequency wind measurements in mountainous regions," Applied Energy, Elsevier, vol. 162(C), pages 1052-1061.
    4. Nematollahi, Omid & Hoghooghi, Hadi & Rasti, Mehdi & Sedaghat, Ahmad, 2016. "Energy demands and renewable energy resources in the Middle East," Renewable and Sustainable Energy Reviews, Elsevier, vol. 54(C), pages 1172-1181.
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    16. Stosic, Tatijana & Telesca, Luciano & Stosic, Borko, 2021. "Multiparametric statistical and dynamical analysis of angular high-frequency wind speed time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    17. Guignard, Fabian & Lovallo, Michele & Laib, Mohamed & Golay, Jean & Kanevski, Mikhail & Helbig, Nora & Telesca, Luciano, 2019. "Investigating the time dynamics of wind speed in complex terrains by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 611-621.
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