IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v320y2025ics0360544225010448.html

Improved energy management strategy for plug-in hybrid electric buses based on Pontryagin's minimum principle plus snack optimization

Author

Listed:
  • Sun, Xiaodong
  • Xu, Zhaojian
  • Cai, Yingfeng
  • Chen, Long
  • Tian, Xiang
  • Jin, Zhijia
  • Xue, Mingzhou

Abstract

Plug-in hybrid electric buses (PHEBs) serve as important environmentally-friendly public transportation vehicles. An adaptive instantaneous optimization energy management strategy based on the SO-PMP approach is proposed on the P2 configuration. This strategy takes into account the power interruption during mode switching in hybrid powertrain systems, and a three-stage clutch mechanical model is constructed. The paper initially introduces the application of Pontryagin's Minimum Principle (PMP) in PHEBs. In addition, a fuzzy logic controller is proposed to design the motor torque compensation coefficient by taking the variance between expected torque and real torque and pedal opening as input. Finally, snake optimization (SO) is used to solve the costate in PMP to achieve the best fuel consumption (FC). The strategy utilizes the fast response characteristic of the motor to compensate for the delay characteristic of the engine, and its effectiveness is verified through both simulation and hardware-in-the-loop (HIL) platform. Compared to globally optimal algorithms, the finding demonstrates that the fuel economy of the employed method yields a mere increase of 3.4 %, but it greatly increases the possibility of application in real vehicles.

Suggested Citation

  • Sun, Xiaodong & Xu, Zhaojian & Cai, Yingfeng & Chen, Long & Tian, Xiang & Jin, Zhijia & Xue, Mingzhou, 2025. "Improved energy management strategy for plug-in hybrid electric buses based on Pontryagin's minimum principle plus snack optimization," Energy, Elsevier, vol. 320(C).
  • Handle: RePEc:eee:energy:v:320:y:2025:i:c:s0360544225010448
    DOI: 10.1016/j.energy.2025.135402
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544225010448
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2025.135402?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. Sun, Chao & Sun, Fengchun & He, Hongwen, 2017. "Investigating adaptive-ECMS with velocity forecast ability for hybrid electric vehicles," Applied Energy, Elsevier, vol. 185(P2), pages 1644-1653.
    2. Hannan, M.A. & Azidin, F.A. & Mohamed, A., 2014. "Hybrid electric vehicles and their challenges: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 29(C), pages 135-150.
    3. Zhen Zhu & Lingxin Zeng & Long Chen & Rong Zou & Yingfeng Cai, 2022. "Fuzzy Adaptive Energy Management Strategy for a Hybrid Agricultural Tractor Equipped with HMCVT," Agriculture, MDPI, vol. 12(12), pages 1-21, November.
    4. Dhahad, Hayder Abed & Hasan, Ahmed Mudheher & Chaichan, Miqdam Tariq & Kazem, Hussein A., 2022. "Prognostic of diesel engine emissions and performance based on an intelligent technique for nanoparticle additives," Energy, Elsevier, vol. 238(PB).
    5. Sun, Fengchun & Xiong, Rui & He, Hongwen, 2016. "A systematic state-of-charge estimation framework for multi-cell battery pack in electric vehicles using bias correction technique," Applied Energy, Elsevier, vol. 162(C), pages 1399-1409.
    6. Yao Yu & Shuaihua Hao & Songbao Guo & Zhong Tang & Shuren Chen, 2022. "Motor Torque Distribution Strategy for Different Tillage Modes of Agricultural Electric Tractors," Agriculture, MDPI, vol. 12(9), pages 1-22, September.
    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. Francesco Mocera & Aurelio Somà & Salvatore Martelli & Valerio Martini, 2023. "Trends and Future Perspective of Electrification in Agricultural Tractor-Implement Applications," Energies, MDPI, vol. 16(18), pages 1-36, September.
    2. Zifeng Pei & Li Zhang & Haijun Fu & Yucheng Wang, 2025. "New Fault-Tolerant Sensorless Control of FPFTPM Motor Based on Hybrid Adaptive Robust Observation for Electric Agricultural Equipment Applications," Energies, MDPI, vol. 18(8), pages 1-22, April.
    3. Hengrui Cao & Konghao Xu & Li Zhang & Zhongqiu Liu & Ziyang Wang & Haijun Fu, 2025. "Multi-Plane Virtual Vector-Based Anti-Disturbance Model Predictive Fault-Tolerant Control for Electric Agricultural Equipment Applications," Energies, MDPI, vol. 18(14), pages 1-19, July.
    4. Tong, He & Chu, Liang & Zhang, Yuanjian & Zhao, Di & Hu, Jincheng & Xie, Zhihao & Liu, Ming, 2024. "Towards sustainable high-speed cruising: Optimizing energy efficiency of plug-in hybrid electric vehicle via intelligent pulse-and-glide strategy," Energy, Elsevier, vol. 311(C).
    5. Dong Sun & Renkai Ding & Rijing Dong, 2025. "A Review of Linear Motor Electromagnetic Energy Regenerative Suspension and Key Technologies," Energies, MDPI, vol. 18(19), pages 1-53, September.
    6. Saiteja, Pemmareddy & Ashok, B., 2022. "Critical review on structural architecture, energy control strategies and development process towards optimal energy management in hybrid vehicles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 157(C).
    7. Hongxuan Wu & Xinzhong Wang & Xuegeng Chen & Yafei Zhang & Yaowen Zhang, 2025. "Review on Key Technologies for Autonomous Navigation in Field Agricultural Machinery," Agriculture, MDPI, vol. 15(12), pages 1-28, June.
    8. Yifei Yang & Yifang Wen & Xiaodong Sun & Renzhong Wang & Ziyin Dong, 2025. "A Review of Green Agriculture and Energy Management Strategies for Hybrid Tractors," Energies, MDPI, vol. 18(13), pages 1-23, June.
    9. Yang, Chao & Du, Siyu & Li, Liang & You, Sixong & Yang, Yiyong & Zhao, Yue, 2017. "Adaptive real-time optimal energy management strategy based on equivalent factors optimization for plug-in hybrid electric vehicle," Applied Energy, Elsevier, vol. 203(C), pages 883-896.
    10. K. S. Reddy & S. Aravindhan & Tapas K. Mallick, 2017. "Techno-Economic Investigation of Solar Powered Electric Auto-Rickshaw for a Sustainable Transport System," Energies, MDPI, vol. 10(6), pages 1-15, May.
    11. Yongbing Xiang & Xiaomin Yang, 2021. "An ECMS for Multi-Objective Energy Management Strategy of Parallel Diesel Electric Hybrid Ship Based on Ant Colony Optimization Algorithm," Energies, MDPI, vol. 14(4), pages 1-21, February.
    12. Hegde, Bharatkumar & Ahmed, Qadeer & Rizzoni, Giorgio, 2020. "Velocity and energy trajectory prediction of electrified powertrain for look ahead control," Applied Energy, Elsevier, vol. 279(C).
    13. Das, Himadry Shekhar & Tan, Chee Wei & Yatim, A.H.M., 2017. "Fuel cell hybrid electric vehicles: A review on power conditioning units and topologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 76(C), pages 268-291.
    14. Li, Menglin & Yin, Long & Yan, Mei & Wu, Jingda & He, Hongwe & Jia, Chunchun, 2024. "Hierarchical intelligent energy-saving control strategy for fuel cell hybrid electric buses based on traffic flow predictions," Energy, Elsevier, vol. 304(C).
    15. Chen, Ziqiang & Ju, Peng & Gong, Man & Shi, Xiaodong & Qin, Ciwei & Shi, Lei, 2025. "Study on control-oriented emission predictions of ammonia-diesel dual-fuel engine with combustion identification," Energy, Elsevier, vol. 333(C).
    16. Lei, Nuo & Zhang, Hao & Hu, Jingjing & Hu, Zunyan & Wang, Zhi, 2025. "Sim-to-real design and development of reinforcement learning-based energy management strategies for fuel cell electric vehicles," Applied Energy, Elsevier, vol. 393(C).
    17. Li, Xiaoyu & Xu, Jianhua & Hong, Jianxun & Tian, Jindong & Tian, Yong, 2021. "State of energy estimation for a series-connected lithium-ion battery pack based on an adaptive weighted strategy," Energy, Elsevier, vol. 214(C).
    18. Togun, Hussein & Basem, Ali & Abdulrazzaq, Tuqa & Biswas, Nirmalendu & Abed, Azher M. & dhabab, Jameel M. & Chattopadhyay, Anirban & Slimi, Khalifa & Paul, Dipankar & Barmavatu, Praveen & Chrouda, Ama, 2025. "Development and comparative analysis between battery electric vehicles (BEV) and fuel cell electric vehicles (FCEV)," Applied Energy, Elsevier, vol. 388(C).
    19. Bravo, Rafael Rivelino Silva & De Negri, Victor Juliano & Oliveira, Amir Antonio Martins, 2018. "Design and analysis of a parallel hydraulic – pneumatic regenerative braking system for heavy-duty hybrid vehicles," Applied Energy, Elsevier, vol. 225(C), pages 60-77.
    20. Ragab El-Sehiemy & Mohamed A. Hamida & Ehab Elattar & Abdullah Shaheen & Ahmed Ginidi, 2022. "Nonlinear Dynamic Model for Parameter Estimation of Li-Ion Batteries Using Supply–Demand Algorithm," Energies, MDPI, vol. 15(13), pages 1-20, June.

    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:320:y:2025:i:c:s0360544225010448. 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.