Skip to main content
Log in

Investigating chaotic features in solar radiation over a tropical station using recurrence quantification analysis

  • Original Paper
  • Published:
Theoretical and Applied Climatology Aims and scope Submit manuscript

Abstract

The use of solar energy for power generation and other uses is on the increase. This demand necessitate a better understanding of the underlying dynamics for better prediction. Nonlinear dynamics and its associated tools readily lend itself for such analysis. In this paper, nonlinearity in solar radiation data is tested using recurrence plot (RP) and recurrence quantification analysis (RQA) in a tropical station. The data used was obtained from an ongoing campaign at the Federal University of Technology, Akure, Southwestern Nigeria using an Integrated Sensor Suite (Vantage2 Pro). Half hourly and daily values were tested for each month of the year. Both were found to be nonlinear. The dry months of the year exhibit higher chaoticity compared to the wet months of the year. The daily average values were found to be mildly chaotic. Using RQA, features due to external effects such as harmattan and intertropical discontinuity (ITD) on solar radiation data were uniquely identified.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Adediji AT, Ogunjo ST (2014) Variations in non-linearity in vertical distribution of microwave radio refractivity. Prog Electromagn Res M 36:177–183. http://www.jpier.org/PIERM/pier.php?paper=14041606

    Article  Google Scholar 

  • Agbo S, Oparaku O (2006) Positive and future prospects of solar water heating in nigeria. Pac J Sci Technol 7(2)

  • Eckmann JP, Kamphorst SO, Ruelle D (1987) Recurrence plots of dynamical systems. Europhys Lett 5:937–977

    Google Scholar 

  • Facchini A, Mocenni C, Marwan N, Vicino A, Tiezzi E (2007) Nonlinear time series analysis of dissolved oxygen in the Orbetello lagoon (Italy). Ecol Model 203:339–348

    Article  Google Scholar 

  • Fraedrich K (1986) Estimating the dimensions of weather and climatic attractors. J Atmos Sci 43:419–432

    Article  Google Scholar 

  • Fraser AM, Swinney HL (1986) Independent coordinates for strange attractors from mutual information. Phys Rev A 33 :1134–1140

    Article  Google Scholar 

  • Fuwape IA, Ogunjo ST (2013) Investigating chaos in the nigerian asset and resource management (arm) discovery fund. CBN J Appl Stat 4(2):133–144

    Google Scholar 

  • Gan M, Huang Y, Ding M, Dong X, Peng J (2012) Testing for nonlinearity in solar radiation time series by a fast surrogate data test method. Sol Energy 86(5):2893–2896

    Article  Google Scholar 

  • Hocaoglu FO (2011) Stochastic approach for daily solar radiation modeling. Sol Energy 85(2):278–287

    Article  Google Scholar 

  • Katiyar AK, Pandey CK (2013) A review of solar radiation models—part i. J Renewable Energy 2013:168,048

    Article  Google Scholar 

  • Kennel MB, Brown R, Abarbanel HDI (1992) Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A 45:3403–3411

    Article  Google Scholar 

  • Lazzus JA (2011) Predicting natural and chaotic time series with a swarm-optimized neural network. Chin Phys Lett 28(11): 110,504

    Article  Google Scholar 

  • Marwan N, Romano MC, Thiel M, Kurths J (2007) Recurrence plots for the analysis of complex systems. Phys Rep 438:237–329

    Article  Google Scholar 

  • Mukherjee S, Zawar-Reza P, Sturman A, Mittal AK (2013) Characterizing atmospheric surface layer turbulence using chaotic return map analysis. Meteorol Atmos Phys 122:185–197

    Article  Google Scholar 

  • Ogunjo ST, Adedayo KD, Ashidi AG, Oloniyo MI (2013a) Investigating wind-solar hybrid power potential over Akure, southwestern Nigeria. J Niger Assoc Math Phys 23:511–516

    Google Scholar 

  • Ogunjo ST, Fuwape IA, Olufemi OI (2013b) Chaotic dynamics in a population of Tribolium. FUTA J Res Sci 9(2):186–193

    Google Scholar 

  • Omid M, Ramedani Z, Keyhani A (2012) Forecasting of daily solar radiation using neuro-fuzzy approach. In: Proceeding of 5th international mechanical engineering forum 2012 , pp 728–740

  • Povedo-Jaramillo G, Puente CE (1993) Strange attractors in atmospheric boundary-layer turbulence. Bound Lay Meteorol 64:175–197

    Article  Google Scholar 

  • Rabarimanantsoa H, Achour L, Letellier C, Cuvelier A, Muir JF (2007) Recurrence plots and Shannon entropy for a dynamical analysis of asynchronisms in noninvasive mechanical ventilation. Chaos 17:013,115

    Article  Google Scholar 

  • Sozen A, Arcakliodlu E, Ozalp M (2004) Estimation of solar potential in turkey by artificial neural networks using meteorological and geographical data. Energy Conv Man 45:3033–3052

    Article  Google Scholar 

  • Takens F (1981) Dynamical systems and turbulence, lecture notes in mathematics, vol 898. Springer, London, pp 366–381. Detecting strange attractors in turbulence

  • Thiel M, Romano MC, Kurths J, Meucci R, Allaria E, Arecchi FT (2002) Influence of observational noise on the recurrence quantification analysis. Physica D 171:138–152

    Article  Google Scholar 

  • Waelbroeck H (1995) Deterministic chaos in tropical atmospheric dynamics. J Atmos Sci 52(13):2404–2415

    Article  Google Scholar 

  • Webber CL, Zbilut JP (2005) Recurrence quantification analysis, pp 27–94. Recurrence Quantification Analysis of Nonlinear Dynamical Systems. http://www.nsf.gov/sbe/bcs/pac/nmbs/nmbs.jsp

  • Webber CL, Zbilut JP (1994) Dynamical assessment of physiological systems and states using recurrence plot strategies. J Appl Physiol 76:965–973

    Google Scholar 

  • Wong L, Chow W (2001) Solar radiation model. Appl Energy 69:191–224

    Article  Google Scholar 

  • Wu J, Chee K (2011) Prediction of hourly solar radiation using a novel hybrid model of arma and tdnn. Sol Energy 85(5):808–817

    Article  Google Scholar 

  • Zbilut JP, Webber CL Jr (1992) Embeddings and delays as derived from quantification of recurrence plots. Phys Lett A 171:199–203

    Article  Google Scholar 

  • Zbilut JP, Giuliani A, Webber CL Jr (2000) Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series. Phys Lett A 267: 174–178

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Samuel T. Ogunjo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ogunjo, S.T., Adediji, A.T. & Dada, J.B. Investigating chaotic features in solar radiation over a tropical station using recurrence quantification analysis. Theor Appl Climatol 127, 421–427 (2017). https://doi.org/10.1007/s00704-015-1642-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00704-015-1642-4

Keywords

Navigation