IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v381y2025ics0306261924024589.html
   My bibliography  Save this article

Hierarchical optimal scheduling of IES considering SOFC degradation, internal and external uncertainties

Author

Listed:
  • Yin, Boyi
  • Zhu, Wenjiang
  • Tang, Cheng
  • Wang, Can
  • Xu, Xinhai

Abstract

Existing research has not adequately accounted for the nonlinear characteristics and degradation of solid oxide fuel cell (SOFC) and lacks a systematic approach to handling internal uncertainties. To address this, this paper proposes a hierarchical economic dispatch method for integrated energy systems (IES) that incorporates the degradation costs of SOFC and uncertainties from both internal and external sources. Firstly, this paper employs a system-level electrochemical-thermodynamic coupled (ETC) modeling approach for SOFCs and exchange membrane electrolyzer (PEMEC). It characterizes the operational characteristics and thermodynamic processes of SOFCs at different operating temperatures and subsequently derives the degradation costs associated with SOFCs. Secondly, the concept of internal uncertainty is introduced, and a hierarchical scheduling framework is established to mitigate uncertainties at the day-ahead and intra-day time scales progressively. In the day-ahead layer, the ETC model is treated with piecewise linearization and an hourly dispatch plan is obtained based on short-term forecast data; in the intra-day layer, the ETC model is processed with local linearization, and rolling optimization is conducted based on ultra-short-term forecast data. Furthermore, a feedback correction link is utilized to maintain the power balance within the IES. Finally, the proposed approach is tested in an IES case study, and the results demonstrate the effectiveness and superiority of the scheme.

Suggested Citation

  • Yin, Boyi & Zhu, Wenjiang & Tang, Cheng & Wang, Can & Xu, Xinhai, 2025. "Hierarchical optimal scheduling of IES considering SOFC degradation, internal and external uncertainties," Applied Energy, Elsevier, vol. 381(C).
  • Handle: RePEc:eee:appene:v:381:y:2025:i:c:s0306261924024589
    DOI: 10.1016/j.apenergy.2024.125074
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261924024589
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2024.125074?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Ma, Chao & Xu, Ximeng & Pang, Xiulan & Li, Xiaofeng & Zhang, Pengfei & Liu, Lu, 2024. "Scenario-based ultra-short-term rolling optimal operation of a photovoltaic-energy storage system under forecast uncertainty," Applied Energy, Elsevier, vol. 356(C).
    2. Zaccaria, V. & Tucker, D. & Traverso, A., 2017. "Operating strategies to minimize degradation in fuel cell gas turbine hybrids," Applied Energy, Elsevier, vol. 192(C), pages 437-445.
    3. Zhang, Jinliang & Liu, Ziyi, 2024. "Low carbon economic scheduling model for a park integrated energy system considering integrated demand response, ladder-type carbon trading and fine utilization of hydrogen," Energy, Elsevier, vol. 290(C).
    4. Li, Tianyu & Liu, Huiying & Wang, Hui & Yao, Yongming, 2020. "Hierarchical predictive control-based economic energy management for fuel cell hybrid construction vehicles," Energy, Elsevier, vol. 198(C).
    5. Ma, Xin & Peng, Bo & Ma, Xiangxue & Tian, Changbin & Yan, Yi, 2023. "Multi-timescale optimization scheduling of regional integrated energy system based on source-load joint forecasting," Energy, Elsevier, vol. 283(C).
    6. Li, Shenglin & Zhu, Jizhong & Dong, Hanjiang & Zhu, Haohao & Fan, Junwei, 2022. "A novel rolling optimization strategy considering grid-connected power fluctuations smoothing for renewable energy microgrids," Applied Energy, Elsevier, vol. 309(C).
    7. Chen, Xi & Wang, Chengfu & Wu, Qiuwei & Dong, Xiaoming & Yang, Ming & He, Suoying & Liang, Jun, 2020. "Optimal operation of integrated energy system considering dynamic heat-gas characteristics and uncertain wind power," Energy, Elsevier, vol. 198(C).
    8. Fang, Xiaolun & Dong, Wei & Wang, Yubin & Yang, Qiang, 2022. "Multiple time-scale energy management strategy for a hydrogen-based multi-energy microgrid," Applied Energy, Elsevier, vol. 328(C).
    9. Dong, Haiyan & Fu, Yanbo & Jia, Qingquan & Zhang, Tie & Meng, Dequn, 2023. "Low carbon optimization of integrated energy microgrid based on life cycle analysis method and multi time scale energy storage," Renewable Energy, Elsevier, vol. 206(C), pages 60-71.
    10. Liu, Chunming & Wang, Chunling & Yin, Yujun & Yang, Peihong & Jiang, Hui, 2022. "Bi-level dispatch and control strategy based on model predictive control for community integrated energy system considering dynamic response performance," Applied Energy, Elsevier, vol. 310(C).
    11. Wang, Xuejie & Li, Bingkang & Wang, Yuwei & Lu, Hao & Zhao, Huiru & Xue, Wanlei, 2022. "A bargaining game-based profit allocation method for the wind-hydrogen-storage combined system," Applied Energy, Elsevier, vol. 310(C).
    12. Bornapour, Mosayeb & Hooshmand, Rahmat-Allah & Parastegari, Moein, 2019. "An efficient scenario-based stochastic programming method for optimal scheduling of CHP-PEMFC, WT, PV and hydrogen storage units in micro grids," Renewable Energy, Elsevier, vol. 130(C), pages 1049-1066.
    13. Wang, Kang & Wang, Chengfu & Yao, Wenliang & Zhang, Zhenwei & Liu, Chao & Dong, Xiaoming & Yang, Ming & Wang, Yong, 2024. "Embedding P2P transaction into demand response exchange: A cooperative demand response management framework for IES," Applied Energy, Elsevier, vol. 367(C).
    14. Mei, Shuxue & Lu, Xiaorui & Zhu, Yu & Wang, Shixue, 2021. "Thermodynamic assessment of a system configuration strategy for a cogeneration system combining SOFC, thermoelectric generator, and absorption heat pump," Applied Energy, Elsevier, vol. 302(C).
    15. Zhang, Jifu & Cui, Peizhe & Yang, Sheng & Zhou, Yaru & Du, Wei & Wang, Yinglong & Deng, Chengwei & Wang, Shuai, 2023. "Thermodynamic analysis of SOFC–CCHP system based on municipal sludge plasma gasification with carbon capture," Applied Energy, Elsevier, vol. 336(C).
    16. Pan, Chenyun & Fan, Hongtao & Zhang, Ruixiang & Sun, Jie & Wang, Yu & Sun, Yaojie, 2023. "An improved multi-timescale coordinated control strategy for an integrated energy system with a hybrid energy storage system," Applied Energy, Elsevier, vol. 343(C).
    17. Han, Fengwu & Zeng, Jianfeng & Lin, Junjie & Zhao, Yunlong & Gao, Chong, 2023. "A stochastic hierarchical optimization and revenue allocation approach for multi-regional integrated energy systems based on cooperative games," Applied Energy, Elsevier, vol. 350(C).
    18. Wu, Yue & Huang, Zhiwu & Li, Dongjun & Li, Heng & Peng, Jun & Stroe, Daniel & Song, Ziyou, 2024. "Optimal battery thermal management for electric vehicles with battery degradation minimization," Applied Energy, Elsevier, vol. 353(PA).
    19. Mottaghizadeh, Pegah & Jabbari, Faryar & Brouwer, Jack, 2022. "Integrated solid oxide fuel cell, solar PV, and battery storage system to achieve zero net energy residential nanogrid in California," Applied Energy, Elsevier, vol. 323(C).
    20. Liu, Zhijian & Fan, Guangyao & Meng, Xiangrui & Hu, Yubin & Wu, Di & Jin, Guangya & Li, Guiqiang, 2024. "Multi-time scale operation optimization for a near-zero energy community energy system combined with electricity-heat-hydrogen storage," Energy, Elsevier, vol. 291(C).
    21. Mu, Yunfei & Xu, Yanze & Zhang, Jiarui & Wu, Zeqing & Jia, Hongjie & Jin, Xiaolong & Qi, Yan, 2023. "A data-driven rolling optimization control approach for building energy systems that integrate virtual energy storage systems," Applied Energy, Elsevier, vol. 346(C).
    22. Shao, Zhentong & Cao, Xiaoyu & Zhai, Qiaozhu & Guan, Xiaohong, 2023. "Risk-constrained planning of rural-area hydrogen-based microgrid considering multiscale and multi-energy storage systems," Applied Energy, Elsevier, vol. 334(C).
    23. Fang, Xiaolun & Wang, Yubin & Dong, Wei & Yang, Qiang & Sun, Siyang, 2023. "Optimal energy management of multiple electricity-hydrogen integrated charging stations," Energy, Elsevier, vol. 262(PB).
    24. Mavromatidis, Georgios & Orehounig, Kristina & Carmeliet, Jan, 2018. "A review of uncertainty characterisation approaches for the optimal design of distributed energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 88(C), pages 258-277.
    25. Yan, Yixian & Huang, Chang & Guan, Junquan & Zhang, Qi & Cai, Yang & Wang, Weiliang, 2024. "Stochastic optimization of solar-based distributed energy system: An error-based scenario with a day-ahead and real-time dynamic scheduling approach," Applied Energy, Elsevier, vol. 363(C).
    26. Zhou, Siyu & Han, Yang & Mahmoud, Karar & Darwish, Mohamed M.F. & Lehtonen, Matti & Yang, Ping & Zalhaf, Amr S., 2023. "A novel unified planning model for distributed generation and electric vehicle charging station considering multi-uncertainties and battery degradation," Applied Energy, Elsevier, vol. 348(C).
    27. Shen, Weijie & Zeng, Bo & Zeng, Ming, 2023. "Multi-timescale rolling optimization dispatch method for integrated energy system with hybrid energy storage system," Energy, Elsevier, vol. 283(C).
    28. Li, Bei & Miao, Hongzhi & Li, Jiangchen, 2021. "Multiple hydrogen-based hybrid storage systems operation for microgrids: A combined TOPSIS and model predictive control methodology," Applied Energy, Elsevier, vol. 283(C).
    29. Li, Qi & Xiao, Xukang & Pu, Yuchen & Luo, Shuyu & Liu, Hong & Chen, Weirong, 2023. "Hierarchical optimal scheduling method for regional integrated energy systems considering electricity-hydrogen shared energy," Applied Energy, Elsevier, vol. 349(C).
    30. Bornapour, Mosayeb & Hooshmand, Rahmat-Allah & Khodabakhshian, Amin & Parastegari, Moein, 2017. "Optimal stochastic coordinated scheduling of proton exchange membrane fuel cell-combined heat and power, wind and photovoltaic units in micro grids considering hydrogen storage," Applied Energy, Elsevier, vol. 202(C), pages 308-322.
    31. Zheng, Nan & Zhang, Hanfei & Duan, Liqiang & Wang, Qiushi & Bischi, Aldo & Desideri, Umberto, 2023. "Techno-economic analysis of a novel solar-driven PEMEC-SOFC-based multi-generation system coupled parabolic trough photovoltaic thermal collector and thermal energy storage," Applied Energy, Elsevier, vol. 331(C).
    32. Qiu, Haifeng & Gu, Wei & Pan, Jing & Xu, Bin & Xu, Yinliang & Fan, Miao & Wu, Zhi, 2018. "Multi-interval-uncertainty constrained robust dispatch for AC/DC hybrid microgrids with dynamic energy storage degradation," Applied Energy, Elsevier, vol. 228(C), pages 205-214.
    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. Fan, Guangyao & Yu, Binbin & Sun, Bo & Li, Fan, 2024. "Multi-time-space scale optimization for a hydrogen-based regional multi-energy system," Applied Energy, Elsevier, vol. 371(C).
    2. Àlex Alonso-Travesset & Helena Martín & Sergio Coronas & Jordi de la Hoz, 2022. "Optimization Models under Uncertainty in Distributed Generation Systems: A Review," Energies, MDPI, vol. 15(5), pages 1-40, March.
    3. Wang, Mengxue & Zhao, Haoran & Liu, Chunyang & Ma, Dazhong & Jiang, Yibao & Yang, Futao, 2025. "Refined multi-time scale optimal scheduling of dynamic integrated energy system based on superposition of energy flow response," Applied Energy, Elsevier, vol. 380(C).
    4. He, Jiaming & Tan, Qinliang & Lv, Hanyu, 2025. "Data-driven climate resilience assessment for distributed energy systems using diffusion transformer and polynomial expansions," Applied Energy, Elsevier, vol. 380(C).
    5. Zhang, Xiao-Yan & Wang, Cenfeng & Xiao, Jiang-Wen & Wang, Yan-Wu, 2025. "A transactive energy cooperation scheduling for hydrogen-based community microgrid with refueling preferences of hydrogen vehicles," Applied Energy, Elsevier, vol. 377(PC).
    6. Tostado-Véliz, Marcos & Rezaee Jordehi, Ahmad & Fernández-Lobato, Lázuli & Jurado, Francisco, 2023. "Robust energy management in isolated microgrids with hydrogen storage and demand response," Applied Energy, Elsevier, vol. 345(C).
    7. Tang, Bao-Jun & Cao, Xi-Lin & Li, Ru & Xiang, Zhi-Bo & Zhang, Sen, 2024. "Economic and low-carbon planning for interconnected integrated energy systems considering emerging technologies and future development trends," Energy, Elsevier, vol. 302(C).
    8. Wu, Long & Yin, Xunyuan & Pan, Lei & Liu, Jinfeng, 2023. "Distributed economic predictive control of integrated energy systems for enhanced synergy and grid response: A decomposition and cooperation strategy," Applied Energy, Elsevier, vol. 349(C).
    9. Wang, Chunling & Liu, Chunming & Chen, Jian & Zhang, Gaoyuan, 2024. "Cooperative planning of renewable energy generation and multi-timescale flexible resources in active distribution networks," Applied Energy, Elsevier, vol. 356(C).
    10. Li, Zichen & Xia, Yanghong & Bo, Yaolong & Wei, Wei, 2024. "Optimal planning for electricity-hydrogen integrated energy system considering multiple timescale operations and representative time-period selection," Applied Energy, Elsevier, vol. 362(C).
    11. Ma, Miaomiao & Long, Zijuan & Liu, Xiangjie & Lee, Kwang Y., 2025. "Distributionally robust optimization of electric–thermal–hydrogen integrated energy system considering source–load uncertainty," Energy, Elsevier, vol. 316(C).
    12. Wang, Yuwei & Song, Minghao & Jia, Mengyao & Shi, Lin & Li, Bingkang, 2023. "TimeGAN based distributionally robust optimization for biomass-photovoltaic-hydrogen scheduling under source-load-market uncertainties," Energy, Elsevier, vol. 284(C).
    13. Kang, Jing & Wang, Shengwei, 2018. "Robust optimal design of distributed energy systems based on life-cycle performance analysis using a probabilistic approach considering uncertainties of design inputs and equipment degradations," Applied Energy, Elsevier, vol. 231(C), pages 615-627.
    14. Kun Li & Yulong Ying & Xiangyu Yu & Jingchao Li, 2024. "Optimal Scheduling of Electricity and Carbon in Multi-Park Integrated Energy Systems," Energies, MDPI, vol. 17(9), pages 1-30, April.
    15. Panah, Payam Ghaebi & Bornapour, Mosayeb & Hemmati, Reza & Guerrero, Josep M., 2021. "Charging station Stochastic Programming for Hydrogen/Battery Electric Buses using Multi-Criteria Crow Search Algorithm," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    16. Zhao, Yunlong & Han, Fengwu & Zeng, Jianfeng & Zhang, Shengnan & Wu, Tianyu & Zhou, Luming & Gao, Jianwei, 2024. "Coordinated optimization of integrated rural multiple regional energy systems considering electricity to ammonia and improved Shapley value revenue allocation," Energy, Elsevier, vol. 313(C).
    17. Jiawei Wang & Aidong Zeng & Yaheng Wan, 2023. "Multi-Time-Scale Optimal Scheduling of Integrated Energy System Considering Transmission Delay and Heat Storage of Heating Network," Sustainability, MDPI, vol. 15(19), pages 1-26, September.
    18. Wu, Long & Yin, Xunyuan & Pan, Lei & Liu, Jinfeng, 2025. "Smart energy management: Process structure-based hybrid neural networks for optimal scheduling and economic predictive control in integrated systems," Applied Energy, Elsevier, vol. 380(C).
    19. Li, Xiaoyuan & Tian, Zhe & Wu, Xia & Feng, Wei & Niu, Jide, 2024. "Optimal planning for hybrid renewable energy systems under limited information based on uncertainty quantification," Renewable Energy, Elsevier, vol. 237(PD).
    20. Zhang, Jiyuan & Tang, Hailong & Chen, Min, 2019. "Linear substitute model-based uncertainty analysis of complicated non-linear energy system performance (case study of an adaptive cycle engine)," Applied Energy, Elsevier, vol. 249(C), pages 87-108.

    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:381:y:2025:i:c:s0306261924024589. 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.