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High-Resolution PV Forecasting from Imperfect Data: A Graph-Based Solution

Author

Listed:
  • Rafael E. Carrillo

    (CSEM PV-Center, Rue Jaquet-Droz 1, 2000 Neuchâtel, Switzerland)

  • Martin Leblanc

    (CSEM PV-Center, Rue Jaquet-Droz 1, 2000 Neuchâtel, Switzerland)

  • Baptiste Schubnel

    (CSEM PV-Center, Rue Jaquet-Droz 1, 2000 Neuchâtel, Switzerland)

  • Renaud Langou

    (CSEM PV-Center, Rue Jaquet-Droz 1, 2000 Neuchâtel, Switzerland)

  • Cyril Topfel

    (BKW AG, Viktoriaplatz 2, 3013 Bern, Switzerland)

  • Pierre-Jean Alet

    (CSEM PV-Center, Rue Jaquet-Droz 1, 2000 Neuchâtel, Switzerland)

Abstract

Operating power systems with large amounts of renewables requires predicting future photovoltaic (PV) production with fine temporal and spatial resolution. State-of-the-art techniques combine numerical weather predictions with statistical post-processing, but their resolution is too coarse for applications such as local congestion management. In this paper we introduce computing methods for multi-site PV forecasting, which exploit the intuition that PV systems provide a dense network of simple weather stations. These methods rely entirely on production data and address the real-life challenges that come with them, such as noise and gaps. Our approach builds on graph signal processing for signal reconstruction and for forecasting with a linear, spatio-temporal autoregressive (ST-AR) model. It also introduces a data-driven clear-sky production estimation for normalization. The proposed framework was evaluated over one year on both 303 real PV systems under commercial monitoring across Switzerland, and 1000 simulated ones based on high-resolution weather data. The results demonstrate the performance and robustness of the approach: with gaps of four hours on average in the input data, the average daytime NRMSE over a six-hour forecasting horizon (in 15 min steps) and over all systems is 13.8% and 9% for the real and synthetic data sets, respectively.

Suggested Citation

  • Rafael E. Carrillo & Martin Leblanc & Baptiste Schubnel & Renaud Langou & Cyril Topfel & Pierre-Jean Alet, 2020. "High-Resolution PV Forecasting from Imperfect Data: A Graph-Based Solution," Energies, MDPI, vol. 13(21), pages 1-17, November.
  • Handle: RePEc:gam:jeners:v:13:y:2020:i:21:p:5763-:d:439556
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    References listed on IDEAS

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    1. Jaeik Jeong & Hongseok Kim, 2019. "Multi-Site Photovoltaic Forecasting Exploiting Space-Time Convolutional Neural Network," Energies, MDPI, vol. 12(23), pages 1-14, November.
    2. Coelho, Igor M. & Coelho, Vitor N. & Luz, Eduardo J. da S. & Ochi, Luiz S. & Guimarães, Frederico G. & Rios, Eyder, 2017. "A GPU deep learning metaheuristic based model for time series forecasting," Applied Energy, Elsevier, vol. 201(C), pages 412-418.
    3. Patrick L. Combettes & Jean-Christophe Pesquet, 2011. "Proximal Splitting Methods in Signal Processing," Springer Optimization and Its Applications, in: Heinz H. Bauschke & Regina S. Burachik & Patrick L. Combettes & Veit Elser & D. Russell Luke & Henry (ed.), Fixed-Point Algorithms for Inverse Problems in Science and Engineering, chapter 0, pages 185-212, Springer.
    4. Qiaomu Zhu & Jinfu Chen & Lin Zhu & Xianzhong Duan & Yilu Liu, 2018. "Wind Speed Prediction with Spatio–Temporal Correlation: A Deep Learning Approach," Energies, MDPI, vol. 11(4), pages 1-18, March.
    5. Ming Yuan & Yi Lin, 2006. "Model selection and estimation in regression with grouped variables," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(1), pages 49-67, February.
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    2. Simeunović, Jelena & Schubnel, Baptiste & Alet, Pierre-Jean & Carrillo, Rafael E. & Frossard, Pascal, 2022. "Interpretable temporal-spatial graph attention network for multi-site PV power forecasting," Applied Energy, Elsevier, vol. 327(C).
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    5. He Yin & Hai Lan & Ying-Yi Hong & Zhuangwei Wang & Peng Cheng & Dan Li & Dong Guo, 2023. "A Comprehensive Review of Shipboard Power Systems with New Energy Sources," Energies, MDPI, vol. 16(5), pages 1-44, February.

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