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Recursive Estimation Methods to Forecast Short-Term Solar Irradiation

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Environment, Energy and Climate Change II

Part of the book series: The Handbook of Environmental Chemistry ((HEC,volume 34))

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Abstract

Due to modern economies moving towards a more sustainable energy supply, solar power generation is becoming an area of paramount importance. In order to integrate this generated energy into the grid, solar irradiation must be forecasted, where deviations of the forecasted value involve significant costs. Intermittence, high frequency, and nonstationary are common features of solar irradiation data that have attracted the interest of numerous researchers from different disciplines. In fact, complex methods based on artificial intelligence have been typically used to address this problem. Nonetheless, adequate benchmarks have not been employed to justify such utilization. The objective of this work is to analyze the Holt–Winters (HW) method to forecast solar irradiation at short term (from 1 to 6 h). At the best of our knowledge, this methodology, which belongs to the family of the exponential smoothing methods and is widely used in industry applications ranging from supply chain demand forecasting to electricity load energy forecasting, has not been fully exploited in solar irradiation forecasting. Additionally, in case the accuracy achieved by the Holt–Winters method is not enough, still it can be utilized as a competitive benchmark given its feasible implementation. The Holt–Winters method performance is illustrated by forecasting two time series. Firstly, global horizontal irradiation (GHI) data have been chosen since forecasting GHI is a crucial part in systems based on photovoltaic (PV) energy conversion. Fluctuations of GHI due to passing clouds at short timescales (seconds and minutes) lead to high variability of power output from PV plants that can strain the grid due to voltage-flicker and balancing issues. Furthermore, direct normal irradiation (DNI) data are also forecasted given the role of main fuel that DNI plays in solar concentrator technologies such as solar thermal (CSP) and concentrated photovoltaic (CPV) power plants. Both solar irradiation data series have been hourly created from 1-minute irradiance measurements that were collected from ground-based weather stations located in Spain.

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Notes

  1. 1.

    Although the seasonality period is 24 hours the whole year, we refer to differences of period to the number of hours during a day that solar irradiance is different from zero.

References

  1. Reikard G (2009) Predicting solar radiation at high resolutions: a comparison of time series forecasts. Sol Energy 83:342–349

    Article  CAS  Google Scholar 

  2. Kraas B, Schroedter-Homscheidt M, Madlener R (2013) Economic merits of a state-of-the-art concentrating solar power forecasting system for participation in the Spanish electricity market. Sol Energy 93:244–255

    Article  Google Scholar 

  3. Mathiesen P, Kleissl J (2011) Evaluation of numerical weather prediction for intra-day solar forecasting in the continental United States. Sol Energy 5:967–977

    Article  Google Scholar 

  4. Polo J, Zarzalejo L, Ramírez L, Badescu V (ed) (2008) Solar radiation derived from satellite images, vol 18. Modeling Solar Radiation at the Earth’s Surface. Springer-Verlag Berlin

    Google Scholar 

  5. Cano D, Monget J, Albuisson M, Guillard H, Regas N, Wald L (1986) A method for the determination of the global solar radiation from meteorological satellite data. Sol Energy 37:31–39

    Article  Google Scholar 

  6. Diabaté L, Moussu G, Wald L (1989) Description of an operational tool for determining global solar radiation at ground using geostationary satellite images. Sol Energy 42:201–207

    Article  Google Scholar 

  7. Noia M, Ratto CF, Festa R (1993) Solar irradiance estimation from geostationary satellite data: I. Statistical models. Sol Energy 51:449–456

    Article  Google Scholar 

  8. Noia M, Ratto CF, Festa R (1993) Solar irradiance estimation from geostationary satellite data: II. Physical models. Sol Energy 51:457–465

    Article  Google Scholar 

  9. Chow CW, Urquhart B, Lave M, Domínguez A, Kleissl J, Shields J (2011) Intra-hour forecasting with a total sky imager at the UC San Diego solar energy testbed. Sol Energy 85:2881–2893

    Article  Google Scholar 

  10. Mellit A, Pavan AM (2010) A 24-h forecast of solar irradiance using artificial neural network: application for performance prediction of a grid-connected PV plant at Trieste, Italy. Sol Energy 84:807–821

    Article  Google Scholar 

  11. Pedro HT, Coimbra CF (2012) Assessment of forecasting techniques for solar power production with no exogenous inputs. Sol Energy 86:2017–2028

    Article  Google Scholar 

  12. Marquez R, Coimbra CF (2011) Forecasting of global and direct solar irradiance using stochastic learning methods, ground experiments and the NWS database. Sol Energy 85:746–756

    Article  Google Scholar 

  13. Winters PR (1960) Forecasting sales by exponentially weighted moving averages. Manag Sci 6:324–342

    Article  Google Scholar 

  14. Gardner ES (1985) Exponential smoothing: the state of the art. J Forecast 4:1–28

    Article  Google Scholar 

  15. Gardner ES (2006) Exponential smoothing: the state of the art, Part II. Int J Forecast 22:637–666

    Article  Google Scholar 

  16. Su Y, Chan LC, Ng SK (2013) A weighted RMSD control model for Holt–Winters forecasting of output power of a grid connected solar photovoltaic system. In: 12th international conference on sustainable energy technologies. Hong Kong

    Google Scholar 

  17. Dong Z, Yang D, Reindl T, Walsh WM (2013) Short-term solar irradiance forecasting using exponential smoothing state space model. Energy 55:1104–1113

    Article  Google Scholar 

  18. Perez R, Kivalov S, Schlemmer J, Hemker K Jr., Renn D, Hoff TE (2010) Validation of short and medium term operational solar radiation forecasts in the US. Sol Energy 84:2161–2172

    Google Scholar 

  19. McArthur LJB (2004) Operations manual. WMO/TD-No, 1274, WCRP/WMO. Baseline Surface Radiation Network (BSRN)

    Google Scholar 

  20. Martín L, Zarzalejo LF, Polo J, Navarro A, Marchante R, Cony M (2010) Prediction of global solar irradiance based on time series analysis: application to solar thermal power plants energy production planning. Sol Energy 84:1772–1781

    Article  Google Scholar 

  21. Makridakis S, Wheelwright SC, Hyndman RJ (1998) Forecasting: methods and applications, 3rd edn. Wiley, New York

    Google Scholar 

  22. Hyndman RJ, Koehler AB, Ord JK, Snyder RD (2008) Forecasting with exponential smoothing: the state space approach. Springer-Verlag Berlin

    Google Scholar 

  23. Pegels CC (1969) Exponential forecasting: some new variations. Manage Sci 15(5):311–315

    Article  Google Scholar 

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Acknowledgment

The authors thank the ISFOC for kindly providing all the data used in this paper.

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Correspondence to Juan R. Trapero .

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Martín, A., Trapero, J.R. (2014). Recursive Estimation Methods to Forecast Short-Term Solar Irradiation. In: Lefebvre, G., Jiménez, E., Cabañas, B. (eds) Environment, Energy and Climate Change II. The Handbook of Environmental Chemistry, vol 34. Springer, Cham. https://doi.org/10.1007/698_2014_304

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