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A cyclostationary model for temporal forecasting and simulation of solar global horizontal irradiance

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  • Soumya Das
  • Marc G. Genton
  • Yasser M. Alshehri
  • Georgiy L. Stenchikov

Abstract

As part of Saudi Vision 2030, a major strategic framework developed by the Council of Economic and Development Affairs of Saudi Arabia, the country aims to reduce its dependency on oil and promote renewable energy for domestic power generation. Among the sustainable energy resources, solar energy is one of the leading resources because of the endowment of Saudi Arabia with plentiful sunlight exposure and year‐round clear skies. This essentializes to forecast and simulate solar irradiance, in particular global horizontal irradiance (GHI), as accurately as possible, mainly to be utilized by the power system operators among many others. Motivated by a dataset of hourly solar GHIs, this article proposes a model for short‐term point forecast and simulation of GHIs. Two key points, that make our model competent, are: (1) the consideration of the strong dependency of GHIs on aerosol optical depths and (2) the identification of the periodic correlation structure or cyclostationarity of GHIs. The proposed model is shown to produce better forecasts and more realistic simulations than a classical model, which fails to recognize the GHI data as cyclostationary. Further, simulated samples from both the models as well as the original GHI data are used to calculate the corresponding photovoltaic power outputs to provide a comprehensive comparison among them.

Suggested Citation

  • Soumya Das & Marc G. Genton & Yasser M. Alshehri & Georgiy L. Stenchikov, 2021. "A cyclostationary model for temporal forecasting and simulation of solar global horizontal irradiance," Environmetrics, John Wiley & Sons, Ltd., vol. 32(8), December.
    • Handle: RePEc:wly:envmet:v:32:y:2021:i:8:n:e2700
    DOI: 10.1002/env.2700
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    1. Harry L. Hurd & Neil L. Gerr, 1991. "Graphical Methods For Determining The Presence Of Periodic Correlation," Journal of Time Series Analysis, Wiley Blackwell, vol. 12(4), pages 337-350, July.
    2. Broszkiewicz-Suwaj, E & Makagon, A & Weron, R & Wyłomańska, A, 2004. "On detecting and modeling periodic correlation in financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 196-205.
    3. Mohammad Reza Mahmoudi & Mohsen Maleki, 2017. "A new method to detect periodically correlated structure," Computational Statistics, Springer, vol. 32(4), pages 1569-1581, December.
    4. Donald E. K. Martin & Benjamin Kedem, 1993. "Estimation Of The Period Of Periodically Correlated Sequences," Journal of Time Series Analysis, Wiley Blackwell, vol. 14(2), pages 193-205, March.
    5. repec:bla:jtsera:v:25:y:2004:3:p:359-372 is not listed on IDEAS
    6. Hyun-Jin Lee & Shin-Young Kim & Chang-Yeol Yun, 2017. "Comparison of Solar Radiation Models to Estimate Direct Normal Irradiance for Korea," Energies, MDPI, vol. 10(5), pages 1-12, April.
    7. Rawat, Rahul & Kaushik, S.C. & Lamba, Ravita, 2016. "A review on modeling, design methodology and size optimization of photovoltaic based water pumping, standalone and grid connected system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 1506-1519.
    8. Qin Shao & Robert Lund, 2004. "Computation and Characterization of Autocorrelations and Partial Autocorrelations in Periodic ARMA Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(3), pages 359-372, May.
    9. Peter Bloomfield & Harry L. Hurd & Robert B. Lund, 1994. "Periodic Correlation In Stratospheric Ozone Data," Journal of Time Series Analysis, Wiley Blackwell, vol. 15(2), pages 127-150, March.
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    Cited by:

    1. Carolina Euán & Ying Sun & Brian J. Reich, 2022. "Statistical analysis of multi‐day solar irradiance using a threshold time series model," Environmetrics, John Wiley & Sons, Ltd., vol. 33(3), May.
    2. Wenqi Zhang & William Kleiber & Bri‐Mathias Hodge & Barry Mather, 2022. "A nonstationary and non‐Gaussian moving average model for solar irradiance," Environmetrics, John Wiley & Sons, Ltd., vol. 33(3), May.

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