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Optimal energy management strategy for multi-stack fuel cell hybrid systems in shunting locomotives based on deep reinforcement learning

Author

Listed:
  • Wang, Wenlong
  • Yang, Jibin
  • Zhang, Han
  • Wu, Xiaohua
  • Xu, Xiaohui
  • Zhang, Jiye
  • Deng, Pengyi
  • Hu, Huaixiang

Abstract

This paper proposes a novel hierarchical energy management strategy (EMS) for high-power multi-stack fuel cell hybrid systems (MFCHSs) in shunting locomotive scenarios to achieve optimal power allocation and improve fuel economy. First, the MFCHS model is established, consisting of a Li-ion battery model and a fuel cell system model with integrated efficiency and degradation submodels. Second, in the upper layer, a deep deterministic policy gradient (DDPG)-based EMS is developed for power allocation between the multi-stack fuel cell system (MFCS) and the battery. Specifically, the battery state of charge and MFCS efficiency are incorporated into the DDPG algorithm's reward function, with the agent trained under shunting locomotive operating conditions, improving EMS efficiency and extending MFCS service life during shunting operations. Finally, in the lower layer, an optimal allocation strategy based on efficiency optimization is utilized to allocate the power across individual MFCS stacks. The simulation results demonstrate that, compared to a rule-based EMS combined with an equality-based allocation method, the proposed hierarchical EMS reduces hydrogen consumption by 8.97 % and MFCS degradation by 32.39 %. Hardware-in-the-loop (HIL) experiments further validate the real-time applicability of the method, showing a 0.97 % average relative error between experimental and simulation results.

Suggested Citation

  • Wang, Wenlong & Yang, Jibin & Zhang, Han & Wu, Xiaohua & Xu, Xiaohui & Zhang, Jiye & Deng, Pengyi & Hu, Huaixiang, 2025. "Optimal energy management strategy for multi-stack fuel cell hybrid systems in shunting locomotives based on deep reinforcement learning," Energy, Elsevier, vol. 340(C).
  • Handle: RePEc:eee:energy:v:340:y:2025:i:c:s036054422504976x
    DOI: 10.1016/j.energy.2025.139334
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    References listed on IDEAS

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    1. Yang, Jibin & Wang, Le & Zhang, Bo & Zhang, Han & Wu, Xiaohua & Xu, Xiaohui & Deng, Pengyi & Peng, Yiqiang, 2024. "Remaining useful life prediction of vehicle-oriented PEMFC systems based on IGWO-BP neural network under real-world traffic conditions," Energy, Elsevier, vol. 291(C).
    2. Liu, Hanyou & Fan, Ailong & Li, Yongping & Bucknall, Richard & Vladimir, Nikola, 2025. "Multi-objective hierarchical energy management strategy for fuel cell/battery hybrid power ships," Applied Energy, Elsevier, vol. 379(C).
    3. Yang, Jibin & Chen, Li & Wu, Xiaohua & Deng, Pengyi & Xue, Fajun & Xu, Xiaohui & Wang, Wenlong & Hu, Huaixiang, 2025. "Remaining useful life prediction of vehicle-oriented PEMFCs based on seasonal trends and hybrid data-driven models under real-world traffic conditions," Renewable Energy, Elsevier, vol. 249(C).
    4. Zhang, Fengqi & Xiao, Lehua & Coskun, Serdar & Pang, Hui & Xie, Shaobo & Liu, Kailong & Cui, Yahui, 2023. "Comparative study of energy management in parallel hybrid electric vehicles considering battery ageing," Energy, Elsevier, vol. 264(C).
    5. Zhou, Su & Fan, Lei & Zhang, Gang & Gao, Jianhua & Lu, Yanda & Zhao, Peng & Wen, Chaokai & Shi, Lin & Hu, Zhe, 2022. "A review on proton exchange membrane multi-stack fuel cell systems: architecture, performance, and power management," Applied Energy, Elsevier, vol. 310(C).
    6. Yang, Jibin & Xu, Xiaohui & Peng, Yiqiang & Deng, Pengyi & Wu, Xiaohua & Zhang, Jiye, 2022. "Hierarchical energy management of a hybrid propulsion system considering speed profile optimization," Energy, Elsevier, vol. 244(PB).
    7. Huang, Xuejin & Zhang, Jingyi & Ou, Kai & Huang, Yin & Kang, Zehao & Mao, Xuping & Zhou, Yujie & Xuan, Dongji, 2024. "Deep reinforcement learning-based health-conscious energy management for fuel cell hybrid electric vehicles in model predictive control framework," Energy, Elsevier, vol. 304(C).
    8. Wang, Zhifu & Zhang, Shunshun & Luo, Wei & Xu, Song, 2024. "Deep reinforcement learning with deep-Q-network based energy management for fuel cell hybrid electric truck," Energy, Elsevier, vol. 306(C).
    9. Zhang, Caizhi & Zeng, Tao & Wu, Qi & Deng, Chenghao & Chan, Siew Hwa & Liu, Zhixiang, 2021. "Improved efficiency maximization strategy for vehicular dual-stack fuel cell system considering load state of sub-stacks through predictive soft-loading," Renewable Energy, Elsevier, vol. 179(C), pages 929-944.
    10. Wang, Yujie & Sun, Zhendong & Chen, Zonghai, 2019. "Energy management strategy for battery/supercapacitor/fuel cell hybrid source vehicles based on finite state machine," Applied Energy, Elsevier, vol. 254(C).
    11. Huang, Ruchen & He, Hongwen & Su, Qicong & Härtl, Martin & Jaensch, Malte, 2025. "Type- and task-crossing energy management for fuel cell vehicles with longevity consideration: A heterogeneous deep transfer reinforcement learning framework," Applied Energy, Elsevier, vol. 377(PC).
    12. Zhang, Gang & Zhou, Su & Gao, Jianhua & Fan, Lei & Lu, Yanda, 2023. "Stacks multi-objective allocation optimization for multi-stack fuel cell systems," Applied Energy, Elsevier, vol. 331(C).
    13. Peng, Hujun & Li, Jianxiang & Löwenstein, Lars & Hameyer, Kay, 2020. "A scalable, causal, adaptive energy management strategy based on optimal control theory for a fuel cell hybrid railway vehicle," Applied Energy, Elsevier, vol. 267(C).
    14. Quan, Shengwei & Wang, Ya-Xiong & Xiao, Xuelian & He, Hongwen & Sun, Fengchun, 2021. "Real-time energy management for fuel cell electric vehicle using speed prediction-based model predictive control considering performance degradation," Applied Energy, Elsevier, vol. 304(C).
    15. Chen, Li & Yang, Jibin & Wu, Xiaohua & Deng, Pengyi & Xu, Xiaohui & Peng, Yiqiang, 2025. "Remaining useful life prediction of PEMFCs based on mode decomposition and hybrid method under real-world traffic conditions," Energy, Elsevier, vol. 314(C).
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