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A Spliced Gamma-Generalized Pareto Model for Short-Term Extreme Wind Speed Probabilistic Forecasting

Journal of Agricultural, Biological and Environmental Statistics volume 24, pages 517–534 (2019)Cite this article

Abstract

Renewable sources of energy such as wind power have become a sustainable alternative to fossil fuel-based energy. However, the uncertainty and fluctuation of the wind speed derived from its intermittent nature bring a great threat to the wind power production stability, and to the wind turbines themselves. Lately, much work has been done on developing models to forecast average wind speed values, yet surprisingly little has focused on proposing models to accurately forecast extreme wind speeds, which can damage the turbines. In this work, we develop a flexible spliced Gamma-Generalized Pareto model to forecast extreme and non-extreme wind speeds simultaneously. Our model belongs to the class of latent Gaussian models, for which inference is conveniently performed based on the integrated nested Laplace approximation method. Considering a flexible additive regression structure, we propose two models for the latent linear predictor to capture the spatio-temporal dynamics of wind speeds. Our models are fast to fit and can describe both the bulk and the tail of the wind speed distribution while producing short-term extreme and non-extreme wind speed probabilistic forecasts. Supplementary materials accompanying this paper appear online.

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Acknowledgements

We thank Amanda Hering for helpful suggestions, and for providing the wind speed data. We also extend our thanks to Thomas Opitz for helpful discussion. Support from the KAUST Supercomputing Laboratory and access to Shaheen is also gratefully acknowledged. This publication is based upon work supported by KAUST Office of Sponsored Research (OSR) under Award No. OSR-CRG2017-3434.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Glasgow, Glasgow, G12 8QQ, UK

    Daniela Castro-Camilo

  2. Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia

    Daniela Castro-Camilo, Raphaël Huser & Håvard Rue

Authors
  1. Daniela Castro-Camilo
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  2. Raphaël Huser
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  3. Håvard Rue
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Correspondence to Daniela Castro-Camilo.

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Castro-Camilo, D., Huser, R. & Rue, H. A Spliced Gamma-Generalized Pareto Model for Short-Term Extreme Wind Speed Probabilistic Forecasting. JABES 24, 517–534 (2019). https://doi.org/10.1007/s13253-019-00369-z

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  • DOI: https://doi.org/10.1007/s13253-019-00369-z

Keywords

  • Extreme-value theory
  • Threshold-based inference
  • Latent Gaussian models
  • INLA
  • SPDE
  • Wind speed forecasting