1. Probabilistic prediction of solar power supply to distribution networks, using forecasts of global horizontal irradiation
- Author
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R. Bäsmann, Peter Schaumann, M. de Langlard, Volker Schmidt, F. von Loeper, and Reinhold Hess
- Subjects
Mathematical optimization ,Distribution networks ,Renewable Energy, Sustainability and the Environment ,business.industry ,020209 energy ,Copula (linguistics) ,Probabilistic logic ,Reverse power flow ,02 engineering and technology ,021001 nanoscience & nanotechnology ,Joint probability distribution ,0202 electrical engineering, electronic engineering, information engineering ,General Materials Science ,0210 nano-technology ,business ,Random variable ,Solar power ,Mathematics ,Parametric statistics - Abstract
This paper presents a mathematical model for the prediction of the probabilities of reverse power flow exceeding predefined critical thresholds at feed-in points of a distribution network. The parametric prediction model is based on hourly forecasts of global horizontal irradiation and uses copulas, a tool for modeling the joint probability distribution of two or more strongly correlated random variables with non-Gaussian (marginal) distributions. The model is used for determining the joint distribution of forecasts of global horizontal irradiation and measured solar power supply at given feed-in points, where respective sample datasets were provided by Deutscher Wetterdienst and the N-ERGIE Netz GmbH. It is shown that the fitted model replicates important characteristics of the data such as the corresponding marginal densities. The validation results highlight strong performance of the proposed model. The copula-based model enables to predict the distribution of solar power supply conditioned on the forecasts of global horizontal irradiation, thus anticipating great fluctuations in the distribution network.
- Published
- 2020
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