Title :

Mulifractal description of wind power using arbitrary order Hilbert spectral analysis

Author(s) :

Calif, Rudy [Auteur]
Laboratoire de Recherche en Géosciences et Energies [UR2_1] [LARGE]
Schmitt, François G [Auteur]
Laboratoire d’Océanologie et de Géosciences (LOG) - UMR 8187 [LOG]
Huang, Yongxiang [Auteur]

Journal title :

Physica A: Statistical Mechanics and its Applications

Pages :

4106-4120

Publisher :

Elsevier

Publication date :

2013-04-30

ISSN :

0378-4371

English keyword(s) :

Wind farm
Intermittency
Multifractal analysis
Emprircal Mode Decomposition
Hilbert Spectral Analysis
Multifractal Random Walk

HAL domain(s) :

Science non linéaire [physics]
Sciences de l'ingénieur [physics]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire d'Océanologie et de Géosciences (LOG) - UMR 8187

Source :

Harvested from HAL