A Multi-Parallel Hybrid Neural Network Model for Short-Term Electricity Price Forecasting Under High Market Volatility

The extreme volatility of European energy markets in 2022 has exposed the limitations of conventional forecasting models, necessitating more robust architectures capable of handling non-linear price shocks. This study proposes a novel multi-parallel hybrid forecasting framework that integrates seven heterogeneous neural networks to predict day-ahead electricity prices. The architecture employs a hierarchical approach where six parallel base models (NN1–NN6) feed into a meta-network (NN7) to generate baseline forecasts. To further enhance predictive fidelity, these results undergo a calibration stage using probabilistic error distribution analysis to produce final probability-adjusted forecasts. The model was validated using the Lithuanian electricity market during the highly volatile period of 2020–2022. Empirical results demonstrate a clear “stacking effect,” where the incremental integration of base networks consistently reduces forecasting residuals. The final probability-adjusted configuration achieved a notable nMAE of 1.57% and a sMAPE of 34.25%, significantly outperforming baseline ensemble outputs and state-of-the-art benchmarks reported in recent literature. Specifically, the probability-based refinement proved highly effective in mitigating systematic biases during nighttime and early morning hours, confirming the model’s capacity to maintain accuracy under extreme market stress.

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Publication Details

Journal
Applied Sciences
Published
2026-04-16
DOI
https://doi.org/10.3390/app16083865
Primary Topic
Energy Load and Power Forecasting
Type
article
Field-Weighted Citation Impact
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article

A Multi-Parallel Hybrid Neural Network Model for Short-Term Electricity Price Forecasting Under High Market Volatility

Arturas Klementavičius, Neringa Radziukynienė, Gabriele Darge
Applied Sciences
Energy Load and Power Forecasting
article

A Multi-Parallel Hybrid Neural Network Model for Short-Term Electricity Price Forecasting Under High Market Volatility

Arturas Klementavičius, Neringa Radziukynienė, Gabriele Darge
article en

Abstract

The extreme volatility of European energy markets in 2022 has exposed the limitations of conventional forecasting models, necessitating more robust architectures capable of handling non-linear price shocks. This study proposes a novel multi-parallel hybrid forecasting framework that integrates seven heterogeneous neural networks to predict day-ahead electricity prices. The architecture employs a hierarchical approach where six parallel base models (NN1–NN6) feed into a meta-network (NN7) to generate baseline forecasts. To further enhance predictive fidelity, these results undergo a calibration stage using probabilistic error distribution analysis to produce final probability-adjusted forecasts. The model was validated using the Lithuanian electricity market during the highly volatile period of 2020–2022. Empirical results demonstrate a clear “stacking effect,” where the incremental integration of base networks consistently reduces forecasting residuals. The final probability-adjusted configuration achieved a notable nMAE of 1.57% and a sMAPE of 34.25%, significantly outperforming baseline ensemble outputs and state-of-the-art benchmarks reported in recent literature. Specifically, the probability-based refinement proved highly effective in mitigating systematic biases during nighttime and early morning hours, confirming the model’s capacity to maintain accuracy under extreme market stress.

Applied SciencesVol. 16(8)
Vytautas Magnus University (LT), Lithuanian Energy Institute (LT)
Affordable and clean energy
Openalex Percentile: Top 22%
Energy Load and Power Forecasting
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