The Scaling Properties of the Turbulent Wind Using Empirical Mode Decomposition and Arbitrary Order Hilbert Spectral Ana
In this work, we present an analysis of one-year period measured wind speed in the atmospheric boundary layer from a wind energy production site. We employ a Hilbert-based methodology, namely arbitrary-order Hilbert spectral analysis to characterize the i
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Abstract. In this work, we present an analysis of one-year period measured wind speed in the atmospheric boundary layer from a wind energy production site. We employ a Hilbert-based methodology, namely arbitrary-order Hilbert spectral analysis to characterize the intermittent property of the wind speed in a joint amplitudefrequency space. The measured scaling exponents implies intermittent nature of the wind on mesoscales.
1 Introduction Turbulent atmospheric wind speed is a complex process with a very large Reynolds number Re [1]. This Reynolds number leads to huge intermittency of wind speed fluctuations involving a wide range of temporal and spatial scales (the planet scale to the dissipative scale) [2]. Knowledge of the dynamics of this process is crucial for wind energy applications. Several works have highlighted the universality of the scaling and intermittent properties of turbulent wind speed in the inertial range in Rudy Calif EA, LARGE Laboratoire en G´eosciences et e´ nerg´etique, Universit´e des Antilles et de la Guyane 97170 P-´a-P e-mail: [email protected] Franc¸ois G. Schmitt CNRS, UMR 8187 LOG Laboratoire d’Oc´eanologie et de G´eosciences, Universit´e de Lille 1, 28 Avenue Foch, 62930 Wimereux, France e-mail: [email protected] Yongxiang Huang Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, People’s Republic of China e-mail: [email protected]
M. H¨olling et al. (eds.), Wind Energy – Impact of Turbulence, Research Topics in Wind Energy 2, c Springer-Verlag Berlin Heidelberg 2014 DOI: 10.1007/978-3-642-54696-9_7,
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the atmospheric boundary layer [3, 4, 5, 6]. However the knowledge of variations ranging from minutes to few days corresponding to 1 to 1000 km, i.e. the mesoscale range, is necessary to provide efficient information for management and control of the wind power generation. The studies concerning this scale range are less numerous than that for the small-scale range, due to the possible non-universality of the power law slope in the mesoscale range [7, 8]. Recent works [7, 8] have been dedicated to scaling and multiscaling properties of the atmospheric wind speed in the mesoscale range. They highlighted the multiscaling and intermittency properties of atmospheric surface layer-winds in the mesoscale range. However, as pointed by Huang et al. [18, 20] that the traditional methodologies might be strongly influenced by large-scale energetic structures, e.g, very-large-scale-motion in atmospheric boundary layer [21]. In this paper, the scaling properties of the atmosphere are investigated using a new Hilbert-based approach, namely arbitrary-order Hilbert spectral analysis, in which the large-scale influence can be constrained [9, 18, 20].
2 Arbitrary-Order Hilbert Spectral Analysis The arbitrary-order Hilbert spectral analysis [9, 10] is an extended version of Hilbert-Huang Transform (HHT) [11, 12], which is designed
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