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<responseDate>2018-01-17T12:09:20Z</responseDate>
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<identifier>oai:HAL:hal-01527887v1</identifier>
<datestamp>2018-01-11</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Mulifractal description of wind power using arbitrary order Hilbert spectral analysis</title>
<creator>CALIF, Rudy</creator>
<creator>Schmitt, François G</creator>
<creator>Huang, Yongxiang</creator>
<contributor>Laboratoire de Recherche en Géosciences et Énergies (LaRGE) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Laboratoire d’Océanologie et de Géosciences (LOG) - UMR 8187 (LOG) ; Université de Lille, Sciences et Technologies - Université du Littoral Côte d'Opale - Centre National de la Recherche Scientifique (CNRS)</contributor>
<description>International audience</description>
<source>Physica A</source>
<publisher>Elsevier</publisher>
<identifier>hal-01527887</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01527887</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01527887</source>
<source>Physica A, Elsevier, 2013, 392, pp.4106-4120. 〈10.1016/j.physa.2013.04.038〉</source>
<identifier>DOI : 10.1016/j.physa.2013.04.038</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2013.04.038</relation>
<language>en</language>
<subject lang=en>Wind farm</subject>
<subject lang=en> Intermittency</subject>
<subject lang=en> Multifractal analysis</subject>
<subject lang=en> Emprircal Mode Decomposition</subject>
<subject lang=en> Hilbert Spectral Analysis</subject>
<subject lang=en> Multifractal Random Walk</subject>
<subject>[NLIN] Nonlinear Sciences [physics]</subject>
<subject>[SPI] Engineering Sciences [physics]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>The objectives are to study and model the aggregate wind power fluctuations dynamics in the multifractal framework. We present here the analysis of aggregate power output sampled at 1 Hz during three years. We decompose the data into several Intrinsic Mode Functions (IMF) using Empirical Mode Decomposition (EMD). We use a new approach, arbitrary order Hilbert spectral analysis, a combination of EMD approach with Hilbert spectral analysis (or Hilbert Huang Transform) and the classical structure function analysis to extract the scaling exponents or multifractal spectrum $zeta(q)$: this function provides a full characterization of a process at all intensities and all scales. The application of both methods, i.e. structure function and arbitrary-order Hilbert spectral analyses, give similar results indicating that the aggregate power output from a wind farm, possesses intermittent and multifractal properties. In order to check this result, we generate stochastic simulations of a Multifractal Random Walk (MRW) using a log-normal stochastic equation. We show that the simulation results are fully compatible with the experimental results. </description>
<date>2013-04-30</date>
</dc>
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