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Short-term forecasting of solar irradiance using decision tree-based models and non-parametric quantile regression
Amon Masache1, Precious Mdlongwa1, Daniel Maposa2
1Department of Statistics and Operations Research, National University of Science and Technology, Bulawayo, Zimbabwe.
Accurate solar irradiance forecasting is crucial for renewable energy. The quantile generalised additive model (QGAM) outperforms quantile regression random forests (QRRF) for solar irradiance prediction, offering superior accuracy.
Area of Science:
- Renewable Energy Systems
- Statistical Modeling
- Meteorological Forecasting
Background:
- Accurate solar irradiance (SI) forecasting is vital for managing renewable energy generation and supply.
- Intermittent nature of solar power necessitates advanced forecasting techniques.
- Existing SI studies often focus on conditional mean distribution, limiting uncertainty representation.
Purpose of the Study:
- To evaluate and compare the forecasting performance of quantile regression random forest (QRRF) and quantile generalised additive model (QGAM) for solar irradiance.
- To introduce QRRF and QGAM as novel forecasting frameworks for SI studies.
- To assess the models' ability to represent forecast uncertainty beyond prediction intervals.
Main Methods:
- A simulation study using multivariate data-generating processes to compare forecasting accuracy.
- Evaluation of models using pinball loss scores and mean absolute scaled errors.
- Application of models to real-life solar irradiance data.
Main Results:
- QRRF showed comparable performance to QGAM in predicting the forecast distribution.
- QGAM demonstrated clear superiority over QRRF in terms of pinball loss and mean absolute scaled errors.
- Both QRRF and QGAM provided complete information on forecast uncertainty via quantile estimation.
Conclusions:
- QGAM is recommended over decision tree-based models like QRRF for solar irradiance prediction due to its superior accuracy.
- QRRF can serve as an alternative for predicting the forecast distribution.
- The QRRF and QGAM frameworks can be extended to model other meteorological-dependent renewable energy sources.
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