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2015 | OriginalPaper | Buchkapitel

25. Obtaining Superior Wind Power Predictions from a Periodic and Heteroscedastic Wind Power Prediction Tool

verfasst von : Daniel Ambach, Carsten Croonenbroeck

Erschienen in: Stochastic Models, Statistics and Their Applications

Verlag: Springer International Publishing

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Abstract

The Wind Power Prediction Tool (WPPT) has successfully been used for accurate wind power forecasts in the short to medium term scenario (up to 12 hours ahead). Since its development about a decade ago, a lot of additional stochastic modeling has been applied to the interdependency of wind power and wind speed. We improve the model in three ways: First, we replace the rather simple Fourier series of the basic model by more general and flexible periodic Basis splines (B-splines). Second, we model conditional heteroscedasticity by a threshold-GARCH (TGARCH) model, one aspect that is entirely left out by the underlying model. Third, we evaluate several distributional forms of the model’s error term. While the original WPPT assumes gaussian errors only, we also investigate whether the errors may follow a Student’s t-distribution as well as a skew t-distribution. In this article we show that our periodic WPPT-CH model is able to improve forecasts’ accuracy significantly, when compared to the plain WPPT model.

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Fußnoten
1
Shapiro–Wilk-Tests generally reject the hypothesis of gaussian WPPT errors.
 
2
We also calculate MAE. Results are quite similar and omitted here to conserve space. Tables and figures are available upon request.
 
3
For lucidity, the figure depicts only the worst (persistence), best (pWPPT-CH) and the WPPT benchmark model. All other curves lie inside the spanned range. According to Diebold–Mariano-Tests, the pWPPT-CH family models are not significantly different from each other.
 
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Metadaten
Titel
Obtaining Superior Wind Power Predictions from a Periodic and Heteroscedastic Wind Power Prediction Tool
verfasst von
Daniel Ambach
Carsten Croonenbroeck
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-13881-7_25