Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention

Accurate multi-energy load forecasting is a prerequisite for on-demand energy supply in integrated energy systems. However, due to differences in response characteristics and load patterns among electrical, heating, and cooling loads, multi-energy load forecasting faces the challenges of heterogeneo...

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Main Authors: Yunfei Zhang, Jun Shen, Jian Li, Mingzhe Yu, Xu Chen, Ziyong Yin
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Energy and AI
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Online Access:http://www.sciencedirect.com/science/article/pii/S266654682500093X
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author Yunfei Zhang
Jun Shen
Jian Li
Mingzhe Yu
Xu Chen
Ziyong Yin
author_facet Yunfei Zhang
Jun Shen
Jian Li
Mingzhe Yu
Xu Chen
Ziyong Yin
author_sort Yunfei Zhang
collection DOAJ
description Accurate multi-energy load forecasting is a prerequisite for on-demand energy supply in integrated energy systems. However, due to differences in response characteristics and load patterns among electrical, heating, and cooling loads, multi-energy load forecasting faces the challenges of heterogeneous time scales and imbalanced forecasting accuracy across load types. To address these challenges, this paper proposes a multi-task learning model with stacked cross-attention. This model incorporates a time scale alignment module to align the time scales of different loads, and employs Informer encoders as experts to extract load-specific features. Stacked cross-attention as the soft sharing mechanism dynamically fuses expert features at the sequence level, enhancing inter-task collaboration and adaptability. This design improves the overall accuracy of multi-energy load forecasting with mixed time scales while reducing forecasting imbalance across load types. Comparison results demonstrate that the model with the stacked cross-attention achieves the best forecasting performance and lowers the imbalance index by 79.17 %. Furthermore, the experts based on Informer encoders yield over a 30.09 % MAPE reduction compared to alternative expert architectures. Compared to the multi-gate mixture-of-experts based models, classical forecasting models, and recent advanced models, the proposed model achieves superior forecasting accuracy, validating its effectiveness and advancement.
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issn 2666-5468
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publishDate 2025-09-01
publisher Elsevier
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spelling doaj-art-9fcea888c87e4a0babd40d84a307a2bc2025-07-17T04:45:03ZengElsevierEnergy and AI2666-54682025-09-0121100561Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attentionYunfei Zhang0Jun Shen1Jian Li2Mingzhe Yu3Xu Chen4Ziyong Yin5School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, PR ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, PR ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, PR China; State Key Laboratory of Power System Operation and Control, Tsinghua University, Beijing 100084, PR China; Corresponding author.School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, PR ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, PR ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, PR ChinaAccurate multi-energy load forecasting is a prerequisite for on-demand energy supply in integrated energy systems. However, due to differences in response characteristics and load patterns among electrical, heating, and cooling loads, multi-energy load forecasting faces the challenges of heterogeneous time scales and imbalanced forecasting accuracy across load types. To address these challenges, this paper proposes a multi-task learning model with stacked cross-attention. This model incorporates a time scale alignment module to align the time scales of different loads, and employs Informer encoders as experts to extract load-specific features. Stacked cross-attention as the soft sharing mechanism dynamically fuses expert features at the sequence level, enhancing inter-task collaboration and adaptability. This design improves the overall accuracy of multi-energy load forecasting with mixed time scales while reducing forecasting imbalance across load types. Comparison results demonstrate that the model with the stacked cross-attention achieves the best forecasting performance and lowers the imbalance index by 79.17 %. Furthermore, the experts based on Informer encoders yield over a 30.09 % MAPE reduction compared to alternative expert architectures. Compared to the multi-gate mixture-of-experts based models, classical forecasting models, and recent advanced models, the proposed model achieves superior forecasting accuracy, validating its effectiveness and advancement.http://www.sciencedirect.com/science/article/pii/S266654682500093XIntegrated energy systemsLoad forecastingMulti-task learningMixed time scalesFeature fusion
spellingShingle Yunfei Zhang
Jun Shen
Jian Li
Mingzhe Yu
Xu Chen
Ziyong Yin
Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention
Energy and AI
Integrated energy systems
Load forecasting
Multi-task learning
Mixed time scales
Feature fusion
title Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention
title_full Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention
title_fullStr Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention
title_full_unstemmed Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention
title_short Achieving high precision and balanced multi-energy load forecasting with mixed time scales: a multi-task learning model with stacked cross-attention
title_sort achieving high precision and balanced multi energy load forecasting with mixed time scales a multi task learning model with stacked cross attention
topic Integrated energy systems
Load forecasting
Multi-task learning
Mixed time scales
Feature fusion
url http://www.sciencedirect.com/science/article/pii/S266654682500093X
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