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Journal of Applied Nonlinear Dynamics 5(4) (2016) 373--390 | DOI:10.5890/JAND.2016.12.001

Rudy Calif$^{1}$, Fran¸cois Schmitt$^{2}$, Yongxiang Huang$^{3}$

$^{1}$ EA 4539, LARGE laboratoire en Géosciences et Énergies, Université des Antilles 97170 P-á-P, France

$^{2}$ UMR 8187 LOG Laboratoire d’Océanologie et de Géosciences, 28 avenue Foch, 62930 Wimereux, France

$^{3}$ State Key Lab of Marine Environmental Science College of Ocean & Earth Sciences, Xiamen University, Xiamen 361102, China

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Abstract

Renewable resources such as atmospheric wind speed and global horizontal irradiance, possess huge fluctuations over a large range of spatial and temporal scales, indicating their nonlinear and nonstationary properties. In this study, the multiple scale dynamics and the correlations between simultaneous time series are analyzed using EMD (Empirical Mode Decomposition) based methods, particularly appropriate for such time series. We consider simultaneous wind speed-global horizontal irradiance measurements, sampled at 1 hour over a period of three years, from 2010 to 2013, at Guadeloupean Archipelago (French West Indies) located at 16°15'N latitude and 60°30'W longitude. After EMD decomposition of both time series, power laws are observed in the Fourier and Hilbert spaces over a broad range of frequencies. Furthermore, we investigate their local correlations using the Time Dependent Intrinsic Correlation method (TDIC). The time evolution and the scale dependence of their correlation are determined at different time scales and for different intrinsic modes functions. The estimation of TDIC have highlighted strong correlations for all the time scales, particularly strong negative correlations between both time series for mean periods 2h≤Tm<273 days indicating a complementarity between wind speed and global horizontal irradiance for these time scales.

Acknowledgments

We thank Météo France, particularly Claude Cayol for providing the simultaneous wind speed-irradiance measurements.

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