IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v18y2025i19p5073-d1757008.html

Probabilistic HVAC Load Forecasting Method Based on Transformer Network Considering Multiscale and Multivariable Correlation

Author

Listed:
  • Tingzhe Pan

    (Southern Power Grid Research Institute Co., Ltd., Guangzhou 510663, China)

  • Zean Zhu

    (Power Dispatch Control Center of Guangdong Power Grid Co., Ltd., Guangzhou 510600, China)

  • Hongxuan Luo

    (Southern Power Grid Research Institute Co., Ltd., Guangzhou 510663, China)

  • Chao Li

    (Power Dispatch Control Center of Guangdong Power Grid Co., Ltd., Guangzhou 510600, China)

  • Xin Jin

    (Southern Power Grid Research Institute Co., Ltd., Guangzhou 510663, China)

  • Zijie Meng

    (Power Dispatch Control Center of Guangdong Power Grid Co., Ltd., Guangzhou 510600, China)

  • Xinlei Cai

    (Power Dispatch Control Center of Guangdong Power Grid Co., Ltd., Guangzhou 510600, China)

Abstract

Accurate load forecasting for community-level heating, ventilation, and air conditioning (HVAC) plays an important role in determining an efficient strategy for demand response (DR) and the operation of the power grid. However, community-level HVAC includes various building-level HVACs, whose usage patterns and standard parameters vary, causing the challenge of load forecasting. To this end, a novel deep learning model, multiscale and cross-variable transformer (MSCVFormer), is proposed to achieve accurate community-level HVAC probabilistic load forecasting by capturing the various influences of multivariables on the load pattern, providing effective information for the grid operators to develop DR and operation strategies. This approach is combined with the multiscale attention (MSA) and cross-variable attention (CVA) mechanism, capturing the complex temporal patterns of the aggregated load. Specifically, by embedding the time series decomposition into the self-attention mechanism, MSA enables the model to capture the critical features of time series while considering the correlation between multiscale time series. Then, CVA calculates the correlations between the exogenous variable and aggregated load, explicitly utilizing the exogenous variables to enhance the model’s understanding of the temporal pattern. This differs from the usual methods, which do not fully consider the relationship between the exogenous variable and aggregated load. To test the effectiveness of the proposed method, two datasets from Germany and China are used to conduct the experiment. Compared to the benchmarks, the proposed method achieves outperforming probabilistic load forecasting results, where the prediction interval coverage probability (PICP) deviation with the nominal coverage and prediction interval normalized averaged width (PINAW) are reduced by 46.7% and 5.25%, respectively.

Suggested Citation

  • Tingzhe Pan & Zean Zhu & Hongxuan Luo & Chao Li & Xin Jin & Zijie Meng & Xinlei Cai, 2025. "Probabilistic HVAC Load Forecasting Method Based on Transformer Network Considering Multiscale and Multivariable Correlation," Energies, MDPI, vol. 18(19), pages 1-21, September.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:19:p:5073-:d:1757008
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/18/19/5073/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/18/19/5073/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zhicheng Xiao & Lijuan Yu & Huajun Zhang & Xuetao Zhang & Yixin Su, 2023. "HVAC Load Forecasting Based on the CEEMDAN-Conv1D-BiLSTM-AM Model," Mathematics, MDPI, vol. 11(22), pages 1-24, November.
    2. Al-Ghussain, Loiy & Alrbai, Mohammad & Al-Dahidi, Sameer, 2025. "Comprehensive techno-economic and life cycle greenhouse gases analysis of green ammonia production utilizing PV and wind energy: Jordan as a case study," Renewable Energy, Elsevier, vol. 249(C).
    3. Johnathon, Chris & Agalgaonkar, Ashish Prakash & Planiden, Chayne & Kennedy, Joel, 2023. "A proposed hedge-based energy market model to manage renewable intermittency," Renewable Energy, Elsevier, vol. 207(C), pages 376-384.
    4. Jiacheng Huang & Xiaowen Zhang & Xuchu Jiang, 2023. "Short-term power load forecasting based on the CEEMDAN-TCN-ESN model," PLOS ONE, Public Library of Science, vol. 18(10), pages 1-26, October.
    5. Massidda, Luca & Marrocu, Marino, 2023. "Total and thermal load forecasting in residential communities through probabilistic methods and causal machine learning," Applied Energy, Elsevier, vol. 351(C).
    6. Groll, Manfred, 2023. "Can climate change be avoided? Vision of a hydrogen-electricity energy economy," Energy, Elsevier, vol. 264(C).
    7. Carlini, Federico & Christensen, Bent Jesper & Datta Gupta, Nabanita & Santucci de Magistris, Paolo, 2023. "Climate, wind energy, and CO2 emissions from energy production in Denmark," Energy Economics, Elsevier, vol. 125(C).
    8. Sun, Xinwu & Hu, Jiaxiang & Hu, Weihao & Cao, Di & Chen, Zhe & Blaabjerg, Frede, 2025. "Non-intrusive load monitoring based on process-adaptive multi-target regression and transformer-enabled two-stream input network," Applied Energy, Elsevier, vol. 393(C).
    9. Hu, Jiaxiang & Hu, Weihao & Cao, Di & Sun, Xinwu & Chen, Jianjun & Huang, Yuehui & Chen, Zhe & Blaabjerg, Frede, 2024. "Probabilistic net load forecasting based on transformer network and Gaussian process-enabled residual modeling learning method," Renewable Energy, Elsevier, vol. 225(C).
    10. Botman, Lola & Lago, Jesus & Fu, Xiaohan & Chia, Keaton & Wolf, Jesse & Kleissl, Jan & De Moor, Bart, 2024. "Building plug load mode detection, forecasting and scheduling," Applied Energy, Elsevier, vol. 364(C).
    11. M. J. S. Kulathilaka & S. Saravanan & H. D. H. P. Kumarasiri & V. Logeeshan & S. Kumarawadu & Chathura Wanigasekara, 2024. "NILM for Commercial Buildings: Deep Neural Networks Tackling Nonlinear and Multi-Phase Loads," Energies, MDPI, vol. 17(15), pages 1-21, August.
    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. Mangla, Sachin Kumar & Srivastava, Praveen Ranjan & Eachempati, Prajwal & Tiwari, Aviral Kumar, 2024. "Exploring the impact of key performance factors on energy markets: From energy risk management perspectives," Energy Economics, Elsevier, vol. 131(C).
    2. Alharbi, Abdullah G. & Fathy, Ahmed & Rezk, Hegazy & Abdelkareem, Mohammad Ali & Olabi, A.G., 2023. "An efficient war strategy optimization reconfiguration method for improving the PV array generated power," Energy, Elsevier, vol. 283(C).
    3. Olaf Dybiński & Tomasz Kurkus & Lukasz Szablowski & Arkadiusz Szczęśniak & Jaroslaw Milewski & Aliaksandr Martsinchyk & Pavel Shuhayeu, 2025. "Artificial Neural Network-Based Mathematical Model of Methanol Steam Reforming on the Anode of Molten Carbonate Fuel Cell Based on Experimental Research," Energies, MDPI, vol. 18(11), pages 1-17, June.
    4. Qinqin Xia & Yao Zou & Qianggang Wang, 2024. "Optimal Capacity Planning of Green Electricity-Based Industrial Electricity-Hydrogen Multi-Energy System Considering Variable Unit Cost Sequence," Sustainability, MDPI, vol. 16(9), pages 1-20, April.
    5. Tian, Zhirui & Liu, Weican & Zhang, Jiahao & Sun, Wenpu & Wu, Chenye, 2025. "EDformer family: End-to-end multi-task load forecasting frameworks for day-ahead economic dispatch," Applied Energy, Elsevier, vol. 383(C).
    6. Christos Karelakis & Zacharias Papanikolaou & Christina Keramopoulou & George Theodossiou, 2024. "Green Growth, Green Development and Climate Change Perceptions: Evidence from a Greek Region," Agriculture, MDPI, vol. 14(8), pages 1-17, July.
    7. Deng, Song & Dong, Xia & Tao, Li & Wang, Junjie & He, Yi & Yue, Dong, 2024. "Multi-type load forecasting model based on random forest and density clustering with the influence of noise and load patterns," Energy, Elsevier, vol. 307(C).
    8. Qu, Hongjiao & Wang, Weiyin & Feng, Chen-Chieh & Guo, Luo, 2026. "The new perspective of future multi-scenario analysis: Decoding impact pathways of land use dynamics on sustainable development goals," Land Use Policy, Elsevier, vol. 162(C).
    9. Mingxiang Li & Tianyi Zhang & Haizhu Yang & Kun Liu, 2024. "Multiple Load Forecasting of Integrated Renewable Energy System Based on TCN-FECAM-Informer," Energies, MDPI, vol. 17(20), pages 1-16, October.
    10. Juan Pous de la Flor & Juan Pous Cabello & María de la Cruz Castañeda & Marcelo Fabián Ortega & Pedro Mora, 2024. "New Uses for Coal Mines as Potential Power Generators and Storage Sites," Energies, MDPI, vol. 17(9), pages 1-16, May.
    11. Zhan, Chenxuan & Xu, Yi & Fan, Jianhua & Gao, Meng & Kong, Weiqiang & Wu, Jiani & Wang, Dengjia & Tian, Zhiyong, 2025. "Validation and optimization of a solar heating plant with a large-scale heat pump," Energy, Elsevier, vol. 319(C).
    12. Ammar Ali Gull & Tanveer Ahsan & Sabri Boubaker & Fabiana Roberto, 2026. "Women on Board and Climate Change: An Illustration Through Greenhouse Gas Emissions," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 31(1), pages 1302-1332, January.
    13. Pusceddu, Gabriella & Manca, Simone & Massidda, Luca, 2025. "Fine-tuning non-intrusive load monitoring model through user interaction: A practical approach to appliance recognition with limited labeled data," Applied Energy, Elsevier, vol. 391(C).
    14. Jia, Wenchao & An, Aimin & Gong, Bin & Shi, Yaoke & Yan, Zheming, 2026. "A multi-variable driven dual-stage modal-decoupling framework integrating deterministic–uncertainty modeling for wind power forecasting with feature interpretability analysis," Energy, Elsevier, vol. 344(C).
    15. Zhou, Dequn & Zhang, Yining & Wang, Qunwei & Ding, Hao, 2024. "How do uncertain renewable energy induced risks evolve in a two-stage deregulated wholesale power market," Applied Energy, Elsevier, vol. 353(PB).
    16. Cai, Jun & Cai, Yuxin & Yan, Ying & Chen, Liang & Zhang, Xin, 2026. "Synergistic cyclic optimization strategy for the data screening and forecasting of solar power, Wind power, and electricity load," Renewable Energy, Elsevier, vol. 256(PH).
    17. Barone, G. & Buonomano, A. & Cipolla, G. & Forzano, C. & Giuzio, G.F. & Russo, G., 2024. "Designing aggregation criteria for end-users integration in energy communities: Energy and economic optimisation based on hybrid neural networks models," Applied Energy, Elsevier, vol. 371(C).
    18. Hu, Rong & Zhou, Kaile & Lu, Xinhui, 2025. "Integrated loads forecasting with absence of crucial factors," Energy, Elsevier, vol. 322(C).
    19. Qiao, Yan & Jiang, Wenquan & Li, Yang & Dong, Xiaoxiao & Yang, Fan, 2024. "Design and analysis of steam methane reforming hydrogen liquefaction and waste heat recovery system based on liquefied natural gas cold energy," Energy, Elsevier, vol. 302(C).
    20. Ajanovic, Amela & Sayer, Marlene & Haas, Reinhard, 2024. "On the future relevance of green hydrogen in Europe," Applied Energy, Elsevier, vol. 358(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:gam:jeners:v:18:y:2025:i:19:p:5073-:d:1757008. 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: MDPI Indexing Manager The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (email available below). General contact details of provider: https://www.mdpi.com .

    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.