IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v407y2026ics0306261926000486.html

Day-ahead electricity price forecasting method integrating multi-scale hypergraph features and dual-layer transformer

Author

Listed:
  • Yang, Liuyu
  • An, Yuan
  • Zhang, Gang
  • Xie, Tuo
  • Liu, Mengxin

Abstract

Accurate forecasting of spot electricity prices is critical yet challenging due to the multi-scale temporal coupling, nonlinear volatility, and complex spatial dependencies influenced by supply-demand fluctuations, extreme weather, and transmission topology. This study proposes a novel day-ahead price forecasting model integrating multi-scale hypergraph features with a dual-layer Transformer. A hypergraph is constructed based on price trend similarity to capture spatial dependencies at local, global, and full-fusion levels. High-relevance exogenous variables are selected using the maximum information coefficient (MIC), and a two-tier Transformer separately models temporal and spatial dynamics. Spectral hypergraph convolution is introduced to generate dynamic spatial representations. The model is evaluated on real-world data from the Guangdong electricity market using both single-day and rolling forecast tasks. Compared with the second-best model, RMSE, MAE, and MAPE are reduced by 9.23%, 12.00%, and 21.74%, respectively, with R2 improved by 2.25%. Additionally, SHAP analysis quantifies feature contributions, forming a closed-loop feature selection and validation process with MIC. The results demonstrate that incorporating multi-scale dynamic modeling and spatiotemporal feature fusion can significantly enhance forecasting accuracy.

Suggested Citation

  • Yang, Liuyu & An, Yuan & Zhang, Gang & Xie, Tuo & Liu, Mengxin, 2026. "Day-ahead electricity price forecasting method integrating multi-scale hypergraph features and dual-layer transformer," Applied Energy, Elsevier, vol. 407(C).
  • Handle: RePEc:eee:appene:v:407:y:2026:i:c:s0306261926000486
    DOI: 10.1016/j.apenergy.2026.127396
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261926000486
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2026.127396?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Lu, Xin & Qiu, Jing & Lei, Gang & Zhu, Jianguo, 2022. "Scenarios modelling for forecasting day-ahead electricity prices: Case studies in Australia," Applied Energy, Elsevier, vol. 308(C).
    2. Fu, Jiaqian & Sun, Yuying & Li, Yunhe & Wang, Wei & Wei, Wenzhe & Ren, Jinyang & Han, Shulun & Di, Haoran, 2025. "An investigation of photovoltaic power forecasting in buildings considering shadow effects: Modeling approach and SHAP analysis," Renewable Energy, Elsevier, vol. 245(C).
    3. Yang, Yifan & Guo, Ju’e & Li, Yi & Zhou, Jiandong, 2024. "Forecasting day-ahead electricity prices with spatial dependence," International Journal of Forecasting, Elsevier, vol. 40(3), pages 1255-1270.
    4. Olivares, Kin G. & Challu, Cristian & Marcjasz, Grzegorz & Weron, Rafał & Dubrawski, Artur, 2023. "Neural basis expansion analysis with exogenous variables: Forecasting electricity prices with NBEATSx," International Journal of Forecasting, Elsevier, vol. 39(2), pages 884-900.
    5. Lehna, Malte & Scheller, Fabian & Herwartz, Helmut, 2022. "Forecasting day-ahead electricity prices: A comparison of time series and neural network models taking external regressors into account," Energy Economics, Elsevier, vol. 106(C).
    6. Li, Wei & Becker, Denis Mike, 2021. "Day-ahead electricity price prediction applying hybrid models of LSTM-based deep learning methods and feature selection algorithms under consideration of market coupling," Energy, Elsevier, vol. 237(C).
    7. van Zyl, Corne & Ye, Xianming & Naidoo, Raj, 2024. "Harnessing eXplainable artificial intelligence for feature selection in time series energy forecasting: A comparative analysis of Grad-CAM and SHAP," Applied Energy, Elsevier, vol. 353(PA).
    8. Shajalal, Md & Boden, Alexander & Stevens, Gunnar, 2024. "ForecastExplainer: Explainable household energy demand forecasting by approximating shapley values using DeepLIFT," Technological Forecasting and Social Change, Elsevier, vol. 206(C).
    9. Ren, Fei & Tian, Chenlu & Zhang, Guiqing & Li, Chengdong & Zhai, Yuan, 2022. "A hybrid method for power demand prediction of electric vehicles based on SARIMA and deep learning with integration of periodic features," Energy, Elsevier, vol. 250(C).
    10. Meng, Anbo & Zhu, Jianbin & Yan, Baiping & Yin, Hao, 2024. "Day-ahead electricity price prediction in multi-price zones based on multi-view fusion spatio-temporal graph neural network," Applied Energy, Elsevier, vol. 369(C).
    11. Wei Li & Denis Mike Becker, 2021. "Day-ahead electricity price prediction applying hybrid models of LSTM-based deep learning methods and feature selection algorithms under consideration of market coupling," Papers 2101.05249, arXiv.org, revised Jul 2021.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Runyao Yu & Derek W. Bunn & Julia Lin & Jochen Stiasny & Fabian Leimgruber & Tara Esterl & Yuchen Tao & Lianlian Qi & Yujie Chen & Wentao Wang & Jochen L. Cremer, 2026. "Deep Learning for Electricity Price Forecasting: A Review of Day-Ahead, Intraday, and Balancing Electricity Markets," Papers 2602.10071, arXiv.org, revised May 2026.
    2. Meng, Anbo & Zhu, Jianbin & Yan, Baiping & Yin, Hao, 2024. "Day-ahead electricity price prediction in multi-price zones based on multi-view fusion spatio-temporal graph neural network," Applied Energy, Elsevier, vol. 369(C).
    3. Adela Bâra & Simona-Vasilica Oprea & Bogdan George Tudorică, 2024. "From the East-European Regional Day-Ahead Markets to a Global Electricity Market," Computational Economics, Springer;Society for Computational Economics, vol. 63(6), pages 2525-2557, June.
    4. Jiang, He & Dong, Yawei & Dong, Yao & Wang, Jianzhou, 2025. "Probabilistic electricity price forecasting by integrating interpretable model," Technological Forecasting and Social Change, Elsevier, vol. 210(C).
    5. Behmiri, Niaz Bashiri & Fezzi, Carlo & Ravazzolo, Francesco, 2026. "Renewable sources and short-to-mid-term electricity price forecasting," Journal of Commodity Markets, Elsevier, vol. 41(C).
    6. Shi, Tao & Li, Chongyang & Zhang, Wei & Zhang, Yi, 2023. "Forecasting on metal resource spot settlement price: New evidence from the machine learning model," Resources Policy, Elsevier, vol. 81(C).
    7. Bendiksen, Vidar & Løining, Lars Olai Fjellestad & Lyócsa, Štefan, 2025. "Cross-border and cross-regional electricity transmission: Is there a price impact in south Norway?," Energy Economics, Elsevier, vol. 150(C).
    8. Daniel Manfre Jaimes & Manuel Zamudio López & Hamidreza Zareipour & Mike Quashie, 2023. "A Hybrid Model for Multi-Day-Ahead Electricity Price Forecasting considering Price Spikes," Forecasting, MDPI, vol. 5(3), pages 1-23, July.
    9. Haokun Su & Xiangang Peng & Hanyu Liu & Huan Quan & Kaitong Wu & Zhiwen Chen, 2022. "Multi-Step-Ahead Electricity Price Forecasting Based on Temporal Graph Convolutional Network," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    10. Adela Bara & Simona-Vasilica Oprea & Andreea-Mihaela Niculae, "undated". "Electricity Price Evolution and the Disruptive Economic and Geopolitical Context on the Spot Market. A Romanian Case Study," BASIQ Conference Proceedings 2023:002, Bucharest University of Economic Studies.
    11. Brusaferri, Alessandro & Ballarino, Andrea & Grossi, Luigi & Laurini, Fabrizio, 2025. "On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity prices," Applied Energy, Elsevier, vol. 398(C).
    12. Sergio Cantillo-Luna & Ricardo Moreno-Chuquen & Jesus Lopez-Sotelo & David Celeita, 2023. "An Intra-Day Electricity Price Forecasting Based on a Probabilistic Transformer Neural Network Architecture," Energies, MDPI, vol. 16(19), pages 1-24, September.
    13. Ghimire, Sujan & Deo, Ravinesh C. & Casillas-Pérez, David & Sharma, Ekta & Salcedo-Sanz, Sancho & Barua, Prabal Datta & Rajendra Acharya, U., 2024. "Half-hourly electricity price prediction with a hybrid convolution neural network-random vector functional link deep learning approach," Applied Energy, Elsevier, vol. 374(C).
    14. Agakishiev, Ilyas & Härdle, Wolfgang Karl & Kopa, Milos & Kozmik, Karel & Petukhina, Alla, 2025. "Multivariate probabilistic forecasting of electricity prices with trading applications," Energy Economics, Elsevier, vol. 141(C).
    15. Ghimire, Sujan & Nguyen-Huy, Thong & Deo, Ravinesh C. & Casillas-Pérez, David & Masrur Ahmed, A.A. & Salcedo-Sanz, Sancho, 2025. "Novel deep hybrid model for electricity price prediction based on dual decomposition," Applied Energy, Elsevier, vol. 395(C).
    16. My Thi Diem Phan & Trung Tuyen Truong & Hoai Phuong Ha & Dat Thanh Nguyen, 2026. "Electricity price forecasting across Norway's five bidding zones in the post-crisis era," Papers 2604.26634, arXiv.org, revised Jun 2026.
    17. Dounia El Bourakadi & Hiba Ramadan & Ali Yahyaouy & Jaouad Boumhidi, 2023. "A robust energy management approach in two-steps ahead using deep learning BiLSTM prediction model and type-2 fuzzy decision-making controller," Fuzzy Optimization and Decision Making, Springer, vol. 22(4), pages 645-667, December.
    18. Schneider, Nicolas & Strielkowski, Wadim, 2023. "Modelling the unit root properties of electricity data—A general note on time-domain applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    19. Madadkhani, Shiva & Ikonnikova, Svetlana, 2024. "Toward high-resolution projection of electricity prices: A machine learning approach to quantifying the effects of high fuel and CO2 prices," Energy Economics, Elsevier, vol. 129(C).
    20. Li, Jin & Wen, Xin & Jia, Li & Cao, Ruochen & Zhang, Xiao & Hao, Yanrong & Gao, Chengxin & Cao, Rui, 2025. "A Transformer-based model fusing temporal dependence and variable correlation for short and medium-term electricity price forecasting," Energy, Elsevier, vol. 338(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:407:y:2026:i:c:s0306261926000486. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.