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Long-term correlations and cross-correlations in wind speed and solar radiation temporal series from Fernando de Noronha Island, Brazil

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  • dos Anjos, Priscilla Sales
  • da Silva, Antonio Samuel Alves
  • Stošić, Borko
  • Stošić, Tatijana

Abstract

We analyze correlations and cross-correlations in wind speed and solar radiation temporal series recorded at the Island Fernando de Noronha in northeastern Brazil, using Detrended fluctuation analysis (DFA) and Detrended cross-correlation analysis (DCCA). We find that both processes exhibit persistent long-term power law correlations as well as persistent long term cross correlations. The observed persistency is found to be stronger for wind speed then for solar radiation, as indicated by higher value of the scaling exponent. By applying DFA on sliding windows of 365 day duration, we find that persistency is preserved for these windows along the entire studied period. In the periods when the decrease in correlation exponent for wind speed is observed, solar radiation shows increased persistency (higher values of correlation exponent) indicating the existence of certain complementarity between persistence property of the two stochastic processes.

Suggested Citation

  • dos Anjos, Priscilla Sales & da Silva, Antonio Samuel Alves & Stošić, Borko & Stošić, Tatijana, 2015. "Long-term correlations and cross-correlations in wind speed and solar radiation temporal series from Fernando de Noronha Island, Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 90-96.
  • Handle: RePEc:eee:phsmap:v:424:y:2015:i:c:p:90-96
    DOI: 10.1016/j.physa.2015.01.003
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    References listed on IDEAS

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    1. de Oliveira Santos, Maíra & Stosic, Tatijana & Stosic, Borko D., 2012. "Long-term correlations in hourly wind speed records in Pernambuco, Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1546-1552.
    2. Fengzhong Wang & Shwu-Jane Shieh & Shlomo Havlin & H. Eugene Stanley, 2009. "Statistical analysis of the overnight and daytime return," Papers 0903.0993, arXiv.org.
    3. Zhi-Qiang Jiang & Wei-Xing Zhou, 2011. "Multifractal detrending moving average cross-correlation analysis," Papers 1103.2577, arXiv.org, revised Mar 2011.
    4. Kavasseri, Rajesh G. & Nagarajan, Radhakrishnan, 2005. "A multifractal description of wind speed records," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 165-173.
    5. Hoicka, Christina E. & Rowlands, Ian H., 2011. "Solar and wind resource complementarity: Advancing options for renewable electricity integration in Ontario, Canada," Renewable Energy, Elsevier, vol. 36(1), pages 97-107.
    6. Gvozdanovic, Igor & Podobnik, Boris & Wang, Duan & Eugene Stanley, H., 2012. "1/f behavior in cross-correlations between absolute returns in a US market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2860-2866.
    7. Nema, Pragya & Nema, R.K. & Rangnekar, Saroj, 2009. "A current and future state of art development of hybrid energy system using wind and PV-solar: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(8), pages 2096-2103, October.
    8. Tiba, C. & Fraidenraich, N. & Grossi Gallegos, H. & Lyra, F.J.M., 2002. "Solar energy resource assessment — Brazil," Renewable Energy, Elsevier, vol. 27(3), pages 383-400.
    9. Zhou, Wei & Lou, Chengzhi & Li, Zhongshi & Lu, Lin & Yang, Hongxing, 2010. "Current status of research on optimum sizing of stand-alone hybrid solar-wind power generation systems," Applied Energy, Elsevier, vol. 87(2), pages 380-389, February.
    10. do Nascimento, Rosângela S. & de Araújo, Luiz Henrique G.D. & Moraes, Renato B. & Barbosa, Catão T.F. & Guedes, Rubem C.A. & Nogueira, Romildo A. & Stošić, Tatijana, 2010. "Analysis of signal fluctuations of Cortical Spreading Depression: Preliminary findings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1869-1873.
    11. Zebende, G.F. & da Silva, M.F. & Machado Filho, A., 2013. "DCCA cross-correlation coefficient differentiation: Theoretical and practical approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1756-1761.
    12. Harrouni, S. & Guessoum, A., 2009. "Using fractal dimension to quantify long-range persistence in global solar radiation," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1520-1530.
    13. Telesca, Luciano & Lovallo, Michele & Lapenna, Vincenzo & Macchiato, Maria, 2007. "Long-range correlations in two-dimensional spatio-temporal seismic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 279-284.
    14. Monforti, F. & Huld, T. & Bódis, K. & Vitali, L. & D'Isidoro, M. & Lacal-Arántegui, R., 2014. "Assessing complementarity of wind and solar resources for energy production in Italy. A Monte Carlo approach," Renewable Energy, Elsevier, vol. 63(C), pages 576-586.
    15. Siqueira, Erinaldo Leite & Stošić, Tatijana & Bejan, Lucian & Stošić, Borko, 2010. "Correlations and cross-correlations in the Brazilian agrarian commodities and stocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2739-2743.
    16. Dutra, Ricardo Marques & Szklo, Alexandre Salem, 2008. "Incentive policies for promoting wind power production in Brazil: Scenarios for the Alternative Energy Sources Incentive Program (PROINFA) under the New Brazilian electric power sector regulation," Renewable Energy, Elsevier, vol. 33(1), pages 65-76.
    17. Carbone, A. & Castelli, G. & Stanley, H.E., 2004. "Time-dependent Hurst exponent in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 267-271.
    18. Vassoler, R.T. & Zebende, G.F., 2012. "DCCA cross-correlation coefficient apply in time series of air temperature and air relative humidity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2438-2443.
    19. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
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