IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v330y2025ics0360544225025940.html

Normalized deep neural network with self-attention mechanism accelerated ADMM for distributed energy management of regional integrated energy systems considering renewable energy uncertainty

Author

Listed:
  • Yin, Linfei
  • Liu, Rongkun
  • Ge, Wei

Abstract

Wind power and photovoltaic have strong volatility and strong uncertainty, and the energy management (EM) problems of the power system become increasingly complex. Traditional scheduling methods have a slow solution speed, which may be difficult to satisfy the real-time demands of EM. To address this problem, this study presents an alternating direction multiplier method (ADMM) for normalized deep neural networks based on self-attention mechanism (ADMM-NDNN-SAM). The proposed ADMM-NDNN-SAM is a mathematical-model dual-driven framework, where ADMM is a mathematical model and self-attention mechanism is a data-driven method. ADMM-NDNN-SAM organically combines the theoretical reliability of analytical methods with the flexibility and predictive capability of data-driven methods, and can perform intelligently and efficiently in dealing with large-scale and multi-constraint complex integrated energy system optimization problems. Experimental findings on IEEE 39- and 118-bus systems verify that:(1) computational speed is significantly improved. ADMM-NDNN-SAM accelerates the computation speed by 55.12 % and 52.90 % compared with ADMM; (2) compared to seven best-of-breed approaches, ADMM-NDNN-SAM reduces at least 7.11 % of the cost and 8.64 of the CO2 emissions on IEEE 39-bus system, and at least 0.03 % of the cost and 37.65 % of the CO2 emissions on IEEE 118-bus system; (3) scheduling scheme derived from the ADMM-NDNN-SAM method is robust.

Suggested Citation

  • Yin, Linfei & Liu, Rongkun & Ge, Wei, 2025. "Normalized deep neural network with self-attention mechanism accelerated ADMM for distributed energy management of regional integrated energy systems considering renewable energy uncertainty," Energy, Elsevier, vol. 330(C).
  • Handle: RePEc:eee:energy:v:330:y:2025:i:c:s0360544225025940
    DOI: 10.1016/j.energy.2025.136952
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544225025940
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2025.136952?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. Yu, Xiaobing & Duan, Yuchen & Luo, Wenguan, 2022. "A knee-guided algorithm to solve multi-objective economic emission dispatch problem," Energy, Elsevier, vol. 259(C).
    2. Zhao, Xudong & Wang, Yibo & Liu, Chuang & Cai, Guowei & Ge, Weichun & Wang, Bowen & Wang, Dongzhe & Shang, Jingru & Zhao, Yiru, 2024. "Two-stage day-ahead and intra-day scheduling considering electric arc furnace control and wind power modal decomposition," Energy, Elsevier, vol. 302(C).
    3. Wu, Yanjuan & Wang, Caiwei & Wang, Yunliang, 2024. "Cooperative game optimization scheduling of multi-region integrated energy system based on ADMM algorithm," Energy, Elsevier, vol. 302(C).
    4. Gu, Haifei & Li, Yang & Yu, Jie & Wu, Chen & Song, Tianli & Xu, Jinzhou, 2020. "Bi-level optimal low-carbon economic dispatch for an industrial park with consideration of multi-energy price incentives," Applied Energy, Elsevier, vol. 262(C).
    5. Pei, Jingyin & Dong, Yunxuan & Guo, Pinghui & Wu, Thomas & Hu, Jianming, 2024. "A Hybrid Dual Stream ProbSparse Self-Attention Network for spatial–temporal photovoltaic power forecasting," Energy, Elsevier, vol. 305(C).
    6. Boroumandfar, Gholamreza & Khajehzadeh, Alimorad & Eslami, Mahdiyeh & Syah, Rahmad B.Y., 2023. "Information gap decision theory with risk aversion strategy for robust planning of hybrid photovoltaic/wind/battery storage system in distribution networks considering uncertainty," Energy, Elsevier, vol. 278(PA).
    7. Yang, Dongfeng & Xu, Yang & Liu, Xiaojun & Jiang, Chao & Nie, Fanjie & Ran, Zixu, 2022. "Economic-emission dispatch problem in integrated electricity and heat system considering multi-energy demand response and carbon capture Technologies," Energy, Elsevier, vol. 253(C).
    8. Wang, Ziyao & Zhong, Lipeng & Pan, Zhenning & Yu, Tao & Qiu, Xingyu, 2022. "Optimal double Q AC-DC hybrid distribution system planning with explicit topology-variable-based reliability assessment," Applied Energy, Elsevier, vol. 322(C).
    9. Vulic, Natasa & Rüdisüli, Martin & Orehounig, Kristina, 2023. "Evaluating energy flexibility requirements for high shares of variable renewable energy: A heuristic approach," Energy, Elsevier, vol. 270(C).
    10. Tian, Chaonan & Niu, Tong & Wei, Wei, 2022. "Developing a wind power forecasting system based on deep learning with attention mechanism," Energy, Elsevier, vol. 257(C).
    11. Wang, Erlei & Xia, Jiangying & Li, Jia & Sun, Xianke & Li, Hao, 2022. "Parameters exploration of SOFC for dynamic simulation using adaptive chaotic grey wolf optimization algorithm," Energy, Elsevier, vol. 261(PA).
    12. Toopshekan, Ashkan & Ahmadi, Esmaeil & Abedian, Ali & Vaziri Rad, Mohammad Amin, 2024. "Techno-economic analysis, optimization, and dispatch strategy development for renewable energy systems equipped with Internet of Things technology," Energy, Elsevier, vol. 296(C).
    13. Qu, Kaiping & Yu, Tao & Pan, Zhenning & Zhang, Xiaoshun, 2020. "Point estimate-based stochastic robust dispatch for electricity-gas combined system under wind uncertainty using iterative convex optimization," Energy, Elsevier, vol. 211(C).
    14. Chen, Yixuan & Qu, Kaiping & Pan, Zhenning & Yu, Tao, 2020. "Multi-objective electricity-gas flow with stochastic dispersion control for air pollutants using two-stage Pareto optimization," Applied Energy, Elsevier, vol. 279(C).
    15. Jiang, Tao & Wu, Chenghao & Zhang, Rufeng & Li, Xue & Li, Fangxing, 2022. "Risk-averse TSO-DSOs coordinated distributed dispatching considering renewable energy and demand response uncertainties," Applied Energy, Elsevier, vol. 327(C).
    16. Zhao, Jing & Guo, Yiyi & Lin, Yihua & Zhao, Zhiyuan & Guo, Zhenhai, 2024. "A novel dynamic ensemble of numerical weather prediction for multi-step wind speed forecasting with deep reinforcement learning and error sequence modeling," Energy, Elsevier, vol. 302(C).
    17. Zhou, Yanting & Ma, Zhongjing & Shi, Xingyu & Zou, Suli, 2024. "Multi-agent optimal scheduling for integrated energy system considering the global carbon emission constraint," Energy, Elsevier, vol. 288(C).
    18. Wang, Jun & Cao, Junxing & Fu, Jingcheng & Xu, Hanqing, 2022. "Missing well logs prediction using deep learning integrated neural network with the self-attention mechanism," Energy, Elsevier, vol. 261(PB).
    19. Du, Yi & Cui, Naxin & Cui, Wei & Li, Tao & Ren, Fei & Zhang, Chenghui, 2023. "AGRU and convex optimization based energy management for plug-in hybrid electric bus considering battery aging," Energy, Elsevier, vol. 277(C).
    20. Zhang, Yusheng & Ma, Chao & Yang, Yang & Pang, Xiulan & Lian, Jijian & Wang, Xin, 2022. "Capacity configuration and economic evaluation of a power system integrating hydropower, solar, and wind," Energy, Elsevier, vol. 259(C).
    21. Chen, Shi & Li, Chuangzhi & Zang, Tianlei & Zhou, Buxiang & Yang, Lonjie & Qiu, Yiwei & Zhou, Yi & Zhang, Xiaoshun, 2024. "Multi-timescale dispatch technology for islanded energy system in the Gobi Desert," Renewable Energy, Elsevier, vol. 234(C).
    22. Yang, Bo & Wang, Junting & Zhang, Xiaoshun & Yu, Lei & Shu, Hongchun & Yu, Tao & Sun, Liming, 2020. "Control of SMES systems in distribution networks with renewable energy integration: A perturbation estimation approach," Energy, Elsevier, vol. 202(C).
    23. Wang, Zuoxue & Jiang, Pei & Li, Xiaobin & He, Yan & Wang, Xi Vincent & Yang, Xue, 2025. "A novel hybrid LSTM and masked multi-head attention based network for energy consumption prediction of industrial robots," Applied Energy, Elsevier, vol. 383(C).
    24. Toopshekan, Ashkan & Abedian, Ali & Azizi, Arian & Ahmadi, Esmaeil & Vaziri Rad, Mohammad Amin, 2023. "Optimization of a CHP system using a forecasting dispatch and teaching-learning-based optimization algorithm," Energy, Elsevier, vol. 285(C).
    25. Zhou, Yuan & Wang, Jiangjiang & Wei, Changqi & Li, Yuxin, 2024. "A novel two-stage multi-objective dispatch model for a distributed hybrid CCHP system considering source-load fluctuations mitigation," Energy, Elsevier, vol. 300(C).
    26. Huang, Lei & Sun, Wei & Li, Qiyue & Li, Weitao, 2023. "Distributed real-time economic dispatch for islanded microgrids with dynamic power demand," Applied Energy, Elsevier, vol. 342(C).
    27. Lou, Juwei & Wang, Jiangfeng & Chen, Liangqi & Wang, Mengxuan & Xia, Jiaxi & Islam, M.R. & Zhao, Pan & Chua, K.J., 2024. "Analysis of power load tracking and regulation performance in a distributed multi-energy coupled system with nuclear and solar sources," Energy, Elsevier, vol. 307(C).
    28. Yin, Linfei & Liu, Rongkun, 2025. "A normalized deep neural network with self-attention mechanisms based multi-objective multi-verse optimization algorithm for economic dispatch," Applied Energy, Elsevier, vol. 383(C).
    29. Yang, Jingxian & Liu, Junyong & Qiu, Gao & Liu, Jichun & Jawad, Shafqat & Zhang, Shuai, 2023. "A spatio-temporality-enabled parallel multi-agent-based real-time dynamic dispatch for hydro-PV-PHS integrated power system," Energy, Elsevier, vol. 278(PB).
    30. Li, Jiale & Yang, Bo & Huang, Jianxiang & Guo, Zhengxun & Wang, Jingbo & Zhang, Rui & Hu, Yuanweiji & Shu, Hongchun & Chen, Yixuan & Yan, Yunfeng, 2023. "Optimal planning of Electricity–Hydrogen hybrid energy storage system considering demand response in active distribution network," Energy, Elsevier, vol. 273(C).
    31. Yang, Jun & Sun, Fengyuan & Wang, Haitao, 2023. "Distributed collaborative optimal economic dispatch of integrated energy system based on edge computing," Energy, Elsevier, vol. 284(C).
    32. Stefenon, Stefano Frizzo & Seman, Laio Oriel & da Silva, Evandro Cardozo & Finardi, Erlon Cristian & Coelho, Leandro dos Santos & Mariani, Viviana Cocco, 2024. "Hypertuned wavelet convolutional neural network with long short-term memory for time series forecasting in hydroelectric power plants," Energy, Elsevier, vol. 313(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Su, Kehan & Yang, Chao & Shao, Yuhao & Jiang, Dalin & Zhou, Can & Wang, Lijie & Liu, Dazheng & Zhu, Peiqi & Ding, Yi & Zheng, Chenghang & Gao, Xiang, 2025. "Accelerating multi-energy system online optimization via integer state variable prediction with operation strategy learning," Energy, Elsevier, vol. 341(C).

    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. SeyedGarmroudi, SeyedDavoud & Kayakutlu, Gulgun & Kayalica, M. Ozgur & Çolak, Üner, 2024. "Improved Pelican optimization algorithm for solving load dispatch problems," Energy, Elsevier, vol. 289(C).
    2. Ashkan Safari & Arman Oshnoei, 2025. "An Overview of Recent AI Applications in Combined Heat and Power Systems," Energies, MDPI, vol. 18(11), pages 1-31, May.
    3. Chen, Xiaofeng & Shu, Shengwen & Cao, Shiyun & Qiu, Han & Xu, Jun & Fang, Chaoying, 2025. "An efficient method for energy harvesting from overhead insulated shield wires based on a magnetically controlled reactor with active tuning," Energy, Elsevier, vol. 326(C).
    4. Linfei Yin & Yongzi Ye & Xiaoping Xiong & Jiajia Chai & Hanzhong Cui & Haoyuan Li, 2025. "Low Carbon Economic Dispatch of Power System Based on Multi-Region Distributed Multi-Gradient Whale Optimization Algorithm," Energies, MDPI, vol. 18(15), pages 1-29, August.
    5. Wang, Kaifeng & Yang, Jianbin & Ye, Lin & Trivedi, Anupam & Wang, Yinzhe & Srinivasan, Dipti, 2025. "Optimization-oriented multi-layer model reconstruction algorithm via objective consensus for renewable-integrated power systems," Energy, Elsevier, vol. 335(C).
    6. Zhu, Peng & Zheng, J.H. & Li, Zhigang & Wu, Q.H. & Wang, Lixiao, 2024. "Optimal operation for district cooling systems coupled with ice storage units based on the per-unit value form," Energy, Elsevier, vol. 302(C).
    7. Zhang, Zhaoyi & Lin, Yifeng & Fan, Jianbin & Han, Zixi & Fan, Youping & Shu, Yinbiao, 2025. "Implicit-integral dynamic optimization based on spatial partitioning and temporal segmentation for the power jumps of renewable energy sources," Applied Energy, Elsevier, vol. 377(PA).
    8. Ma, Yixiang & Yu, Lean & Zhang, Guoxing & Lu, Zhiming & Wu, Jiaqian, 2023. "Source-load uncertainty-based multi-objective multi-energy complementary optimal scheduling," Renewable Energy, Elsevier, vol. 219(P1).
    9. Yin, Linfei & Xiong, Yi, 2024. "Incremental learning user profile and deep reinforcement learning for managing building energy in heating water," Energy, Elsevier, vol. 313(C).
    10. Jiang, Tao & Wu, Chenghao & Huang, Tao & Zhang, Rufeng & Li, Xue, 2024. "Optimal market participation of VPPs in TSO-DSO coordinated energy and flexibility markets," Applied Energy, Elsevier, vol. 360(C).
    11. Shi, Yunhong & Li, Chengjiang & Wang, Honglei & Wang, Xiaolin & Negnevitsky, Michael, 2025. "A novel scheduling strategy of a hybrid wind-solar-hydro system for smoothing energy and power fluctuations," Energy, Elsevier, vol. 320(C).
    12. Morovat, Navid & Athienitis, Andreas K. & Candanedo, José Agustín & Nouanegue, Hervé Frank, 2024. "Heuristic model predictive control implementation to activate energy flexibility in a fully electric school building," Energy, Elsevier, vol. 296(C).
    13. 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.
    14. Félix González & Paul Arévalo & Luis Ramirez, 2025. "Game Theory and Robust Predictive Control for Peer-to-Peer Energy Management: A Pathway to a Low-Carbon Economy," Sustainability, MDPI, vol. 17(5), pages 1-23, February.
    15. Li, Wanying & Dong, Fugui & Liu, Jiamei & Wang, Peijun & Zhao, Xinru, 2024. "A three-stage decision-making study on capacity configuration of hydropower-wind-photovoltaic-storage complementary systems considering uncertainty," Energy, Elsevier, vol. 313(C).
    16. Zhongzheng Li & Gaohang Zhang & Mengke Liao & Erbiao Zhou, 2025. "Coordinative Scheduling Method for Source–Load–Storage Integrated Systems Considering the Utilization of Energy-Intensive Industry Loads for Regulation," Sustainability, MDPI, vol. 17(16), pages 1-21, August.
    17. Baihao Qiao & Hui Xu & Yitong Liu & Jinglong Ye & Hejuan Hu & Li Yan & Tao Wei, 2025. "Economic, Low-Carbon Dispatch of Seasonal Park Integrated Energy System Based on Adjustable Cooling–Heating–Power Ratio," Energies, MDPI, vol. 18(19), pages 1-25, September.
    18. Wang, Xiaodi & Hao, Yan & Yang, Wendong, 2024. "Novel wind power ensemble forecasting system based on mixed-frequency modeling and interpretable base model selection strategy," Energy, Elsevier, vol. 297(C).
    19. Shen, Boyang & Chen, Yu & Li, Chuanyue & Wang, Sheng & Chen, Xiaoyuan, 2021. "Superconducting fault current limiter (SFCL): Experiment and the simulation from finite-element method (FEM) to power/energy system software," Energy, Elsevier, vol. 234(C).
    20. Wang, Yubin & Dong, Wei & Yang, Qiang, 2022. "Multi-stage optimal energy management of multi-energy microgrid in deregulated electricity markets," Applied Energy, Elsevier, vol. 310(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:energy:v:330:y:2025:i:c:s0360544225025940. 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.journals.elsevier.com/energy .

    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.