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Statistical Learning for Short-Term Photovoltaic Power Predictions

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Computational Sustainability

Part of the book series: Studies in Computational Intelligence ((SCI,volume 645))

Abstract

A reliable prediction of photovoltaic (PV) power plays an important part as basis for operation and management strategies for a efficient and economical integration into the power grid. Due to changing weather conditions, e.g., clouds and fog, a precise forecast in a few hour range can be a difficult task. The growing IT infrastructure allows a fine screening of PV power. On the basis of big data sets of PV measurements, we apply methods from statistical learning for one- to six-hour ahead predictions based on data with hourly resolution. In this work, we employ nearest neighbor regression and support vector regression for PV power predictions based on measurements and numerical weather predictions. We put an emphasis on the analysis of feature combinations based on these two data sources. After optimizing the settings and comparing the employed statistical learning models, we build a hybrid predictor that uses forecasts of both employed models.

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References

  1. Bacher, P., Madsen, H., Nielsen, H.A.: Online short-term solar power forecasting. Sol. Energy 83(10), 1772–1783 (2009)

    Article  Google Scholar 

  2. Bailey, T., Jain, A.: A note on distance-weighted k-nearest neighbor rules. IEEE Trans. Syst. Man Cybern. 8(4), 311–313 (1978)

    Article  MATH  Google Scholar 

  3. Cao, J., Cao, S.: Study of forecasting solar irradiance using neural networks with preprocessing sample data by wavelet analysis. Energy 31(15), 3435–3445 (2006)

    Article  Google Scholar 

  4. Chakraborty, P., Marwah, M., Arlitt, M., Ramakrishnan, N.: Fine-grained photovoltaic output prediction using a Bayesian ensemble. In: Twenty-Sixth AAAI Conference on Artificial Intelligence, pp. 274–280 (2012)

    Google Scholar 

  5. Chowdhury, B.: Short-term prediction of solar irradiance using time-series analysis. Energy Sources 12(2), 199–219 (1990)

    Article  Google Scholar 

  6. da Silva Fonseca, J., Oozeki, T., Takashima, T., Koshimizu, G., Uchida, Y., Ogimoto, K.: Photovoltaic power production forecasts with support vector regression: a study on the forecast horizon. In: 2011 37th IEEE Photovoltaic Specialists Conference (PVSC), pp. 2579–2583 (2011)

    Google Scholar 

  7. European Centre for Medium-Range Weather Forecasts (ECMWF). http://www.ecmwf.int

  8. Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning. Springer, Berlin (2009)

    Book  MATH  Google Scholar 

  9. Heinemann, D., Lorenz, E., Girodo, M.: Forecasting of solar radiation. In: Proceedings of the International Workshop on Solar Resource from the Local Level to Global Scale in Support of the Resource Management of Renewable Electricity Generation. Institute for Environment and Sustainability, Joint Research Center, Ispra, Italy (2004)

    Google Scholar 

  10. Kramer, O., Gieseke, F.: Short-term wind energy forecasting using support vector regression. In: 6th International Conference SOCO 2011 Soft Computing Models in Industrial and Environmental Applications, pp. 271–280 (2011)

    Google Scholar 

  11. Lorenz, E., Hurka, J., Heinemann, D., Beyer, H.G.: Irradiance forecasting for the power prediction of grid-connected photovoltaic systems. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens. 2, 2–10 (2009)

    Article  Google Scholar 

  12. Lorenz, E., Heinemann, D. (eds.): Prediction of solar irradiance and photovoltaic power. In: Comprehensive Renewable Energy, vol. 1, pp. 239–292. Springer (2012)

    Google Scholar 

  13. Mellit, A.: Artificial intelligence technique for modelling and forecasting of solar radiation data—a review. Int. J. Artif. Intell. Soft Comput. 1(1), 52–76 (2008)

    Article  Google Scholar 

  14. Meteocontrol—Energy and Weather Services GmbH. http://www.meteocontrol.com

  15. Reikard, G.: Predicting solar radiation at high resolutions: a comparison of time series forecasts. Solar Energy 83(3), 342–349 (2009)

    Article  Google Scholar 

  16. Schölkopf, B., Smola, A.J.: Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge, MA, USA (2001)

    Google Scholar 

  17. Smola, A.J., Schölkopf, B.: A tutorial on support vector regression. In: Statistics and Computing, vol. 14, pp. 199–222. Kluwer Academic Publishers, Hingham, MA, USA (2004)

    Google Scholar 

  18. Wolff, B., Lorenz, E., Kramer, O.: Statistical learning for short-term photovoltaic power predictions. In: European Conference on Machine Learning (ECML), Workshop Data Analytics for Renewable Energy Integration (DARE) (2013)

    Google Scholar 

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Acknowledgments

We thank Meteocontrol—Energy and Weather Services (http://www.meteocontrol.com) for providing the PV system measurements, the ECMWF for the numerical weather predictions that are basis of our experimental analysis and the Lower Saxony Ministry for Science and Culture (MWK) for promoting the Ph.D. program “System Integration of Renewable Energies” (SEE) of the University of Oldenburg.

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Correspondence to Björn Wolff .

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Wolff, B., Lorenz, E., Kramer, O. (2016). Statistical Learning for Short-Term Photovoltaic Power Predictions. In: Lässig, J., Kersting, K., Morik, K. (eds) Computational Sustainability. Studies in Computational Intelligence, vol 645. Springer, Cham. https://doi.org/10.1007/978-3-319-31858-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-31858-5_3

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  • Print ISBN: 978-3-319-31856-1

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