IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v336y2025ics0360544225041337.html

Depth of discharge optimization for energy management of plug-in hybrid electric vehicles considering the social cost of carbon

Author

Listed:
  • Yuan, Junpeng
  • Xie, Shaobo
  • Zhang, Fengqi
  • Zhang, Qiankun
  • Coskun, Serdar
  • Fu, Yeyu
  • Hu, Bin

Abstract

The depth of discharge (DOD) determines the battery electricity and fuel usage, which is associated with the social cost of the equivalent carbon emission at the well-to-pump (WTP) and pump-to-wheel (PTW) in plug-in hybrid electric vehicles (PHEVs). Higher DOD leads to a significant increase in PHEV operational cost, causing higher energy consumption cost (ECC) and the equivalent cost of battery life loss (ECBLL) due to larger battery packs. Further, the social cost of carbon (SCC) plays a pivotal role in the PHEV energy management strategy (EMS) to maintain global fuel economy. This paper puts forward a multi-objective EMS solution to devise an optimal DOD strategy based on the minimization of the ECC, ECBLL, and SCC over the entire trip. To assess the proposed framework, two types of driving cycles including the developed city bus driving cycle and the standard driving cycle - China heavy-duty commercial vehicle test cycle-bus (CHTC-B) are both utilized for driving simulation studies. The influence of the mileage, power source of battery charge, and vehicular load on optimal DOD are concurrently discussed in the sequel. The results demonstrate that a lower DOD enhances global fuel economy due to the use of less electricity in the PHEV, incorporating the SCC. The results also suggest that the optimal DOD increases with the growing mileage, and the optimal DOD at full load is lower than that in the case of no load under the multi-objective optimization-driven EMS design. Compared with wind power, thermal power tends to choose a lower DOD in the optimal solution of the developed scheme.

Suggested Citation

  • Yuan, Junpeng & Xie, Shaobo & Zhang, Fengqi & Zhang, Qiankun & Coskun, Serdar & Fu, Yeyu & Hu, Bin, 2025. "Depth of discharge optimization for energy management of plug-in hybrid electric vehicles considering the social cost of carbon," Energy, Elsevier, vol. 336(C).
  • Handle: RePEc:eee:energy:v:336:y:2025:i:c:s0360544225041337
    DOI: 10.1016/j.energy.2025.138491
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544225041337
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2025.138491?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. López, José M & Gómez, Álvaro & Aparicio, Francisco & Javier Sánchez, Fco., 2009. "Comparison of GHG emissions from diesel, biodiesel and natural gas refuse trucks of the City of Madrid," Applied Energy, Elsevier, vol. 86(5), pages 610-615, May.
    2. Xie, Shaobo & Hu, Xiaosong & Xin, Zongke & Brighton, James, 2019. "Pontryagin’s Minimum Principle based model predictive control of energy management for a plug-in hybrid electric bus," Applied Energy, Elsevier, vol. 236(C), pages 893-905.
    3. Lian, Renzong & Peng, Jiankun & Wu, Yuankai & Tan, Huachun & Zhang, Hailong, 2020. "Rule-interposing deep reinforcement learning based energy management strategy for power-split hybrid electric vehicle," Energy, Elsevier, vol. 197(C).
    4. Wang, Yaxin & Lou, Diming & Xu, Ning & Fang, Liang & Tan, Piqiang, 2021. "Energy management and emission control for range extended electric vehicles," Energy, Elsevier, vol. 236(C).
    5. Ashwin Rode & Tamma Carleton & Michael Delgado & Michael Greenstone & Trevor Houser & Solomon Hsiang & Andrew Hultgren & Amir Jina & Robert E. Kopp & Kelly E. McCusker & Ishan Nath & James Rising & Ji, 2021. "Estimating a social cost of carbon for global energy consumption," Nature, Nature, vol. 598(7880), pages 308-314, October.
    6. Tang, Wenbin & Wang, Yaqian & Jiao, Xiaohong & Ren, Lina, 2023. "Hierarchical energy management strategy based on adaptive dynamic programming for hybrid electric vehicles in car-following scenarios," Energy, Elsevier, vol. 265(C).
    7. Tan, Qinliang & Ding, Yihong & Zheng, Jin & Dai, Mei & Zhang, Yimei, 2021. "The effects of carbon emissions trading and renewable portfolio standards on the integrated wind–photovoltaic–thermal power-dispatching system: Real case studies in China," Energy, Elsevier, vol. 222(C).
    8. Yang, Wenjun & Guo, Jia & Vartosh, Aris, 2022. "Optimal economic-emission planning of multi-energy systems integrated electric vehicles with modified group search optimization," Applied Energy, Elsevier, vol. 311(C).
    9. Fengyan Yi & Dagang Lu & Xingmao Wang & Chaofeng Pan & Yuanxue Tao & Jiaming Zhou & Changli Zhao, 2022. "Energy Management Strategy for Hybrid Energy Storage Electric Vehicles Based on Pontryagin’s Minimum Principle Considering Battery Degradation," Sustainability, MDPI, vol. 14(3), pages 1-17, January.
    10. Sun, Xilei & Fu, Jianqin & Yang, Huiyong & Xie, Mingke & Liu, Jingping, 2023. "An energy management strategy for plug-in hybrid electric vehicles based on deep learning and improved model predictive control," Energy, Elsevier, vol. 269(C).
    11. Suri, Girish & Onori, Simona, 2016. "A control-oriented cycle-life model for hybrid electric vehicle lithium-ion batteries," Energy, Elsevier, vol. 96(C), pages 644-653.
    12. Yang, Kun & Zhang, Benjun & Chu, Yongkun & Wang, Zhongwei & Shao, Changjiang & Ma, Chao, 2024. "Research on the configuration design and energy management of a novel plug-in hybrid electric vehicle based on the double-rotor motor and hybrid energy storage system," Energy, Elsevier, vol. 302(C).
    13. Xie, Shaobo & Qi, Shanwei & Lang, Kun & Tang, Xiaolin & Lin, Xianke, 2020. "Coordinated management of connected plug-in hybrid electric buses for energy saving, inter-vehicle safety, and battery health," Applied Energy, Elsevier, vol. 268(C).
    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. Chen, Jiaxin & Shu, Hong & Tang, Xiaolin & Liu, Teng & Wang, Weida, 2022. "Deep reinforcement learning-based multi-objective control of hybrid power system combined with road recognition under time-varying environment," Energy, Elsevier, vol. 239(PC).
    2. Shi, Dehua & Xu, Han & Wang, Shaohua & Hu, Jia & Chen, Long & Yin, Chunfang, 2024. "Deep reinforcement learning based adaptive energy management for plug-in hybrid electric vehicle with double deep Q-network," Energy, Elsevier, vol. 305(C).
    3. Zou, Yunge & Yang, Yalian & Zhang, Yuxin & Liu, Changdong, 2024. "Computationally efficient assessment of fuel economy of multi-modes and multi-gears hybrid electric vehicles: A hyper rapid dynamic programming approach," Energy, Elsevier, vol. 313(C).
    4. 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).
    5. Anselma, Pier Giuseppe, 2022. "Computationally efficient evaluation of fuel and electrical energy economy of plug-in hybrid electric vehicles with smooth driving constraints," Applied Energy, Elsevier, vol. 307(C).
    6. Ju, Fei & Zhuang, Weichao & Wang, Liangmo & Zhang, Zhe, 2020. "Comparison of four-wheel-drive hybrid powertrain configurations," Energy, Elsevier, vol. 209(C).
    7. Penghui Qiang & Peng Wu & Tao Pan & Huaiquan Zang, 2021. "Real-Time Approximate Equivalent Consumption Minimization Strategy Based on the Single-Shaft Parallel Hybrid Powertrain," Energies, MDPI, vol. 14(23), pages 1-22, November.
    8. Iqbal, Najam & He, Guanzhang & Wang, Hu & Lin, Zhiqiang & Zheng, Zunqing & Yao, Mingfa, 2025. "Holistic energy management strategy for hybrid electric heavy-duty vehicles based on proximal policy optimization with the consideration of cabin temperature comfort," Energy, Elsevier, vol. 326(C).
    9. Fengqi Zhang & Lihua Wang & Serdar Coskun & Hui Pang & Yahui Cui & Junqiang Xi, 2020. "Energy Management Strategies for Hybrid Electric Vehicles: Review, Classification, Comparison, and Outlook," Energies, MDPI, vol. 13(13), pages 1-35, June.
    10. Qi, Chunyang & Zhu, Yiwen & Song, Chuanxue & Yan, Guangfu & Xiao, Feng & Da wang, & Zhang, Xu & Cao, Jingwei & Song, Shixin, 2022. "Hierarchical reinforcement learning based energy management strategy for hybrid electric vehicle," Energy, Elsevier, vol. 238(PA).
    11. Tan, Yingqi & Xu, Jingyi & Ma, Junyi & Li, Zirui & Chen, Huiyan & Xi, Junqiang & Liu, Haiou, 2024. "A transferable perception-guided EMS for series hybrid electric unmanned tracked vehicles," Energy, Elsevier, vol. 306(C).
    12. Zhang, Hao & Yang, Guixiang & Lei, Nuo & Chen, Chaoyi & Chen, Boli & Qiu, Lin, 2025. "Scenario-aware electric vehicle energy control with enhanced vehicle-to-grid capability: A multi-task reinforcement learning approach," Energy, Elsevier, vol. 335(C).
    13. Wang, Zhiguo & Wei, Hongqian & Xi, Yecheng & Xiao, Gongwei, 2024. "Data-driven energy utilization for plug-in hybrid electric bus with driving patten application and battery health considerations," Energy, Elsevier, vol. 310(C).
    14. Zhou, Jianhao & Xue, Yuan & Xu, Da & Li, Chaoxiong & Zhao, Wanzhong, 2022. "Self-learning energy management strategy for hybrid electric vehicle via curiosity-inspired asynchronous deep reinforcement learning," Energy, Elsevier, vol. 242(C).
    15. Zhang, Yuxin & Yang, Yalian & Zou, Yunge & Liu, Changdong, 2024. "Design of optimal control strategy for range extended electric vehicles considering additional noise, vibration and harshness constraints," Energy, Elsevier, vol. 310(C).
    16. Ma, Xiaokang & Liu, Hui & Han, Lijin & Yang, Ningkang & Li, Mingyi, 2025. "An real-time intelligent energy management based on deep reinforcement learning and model predictive control for hybrid electric vehicles considering battery life," Energy, Elsevier, vol. 324(C).
    17. Liu, Huimin & Lin, Cheng & Yu, Xiao & Tao, Zhenyi & Xu, Jiaqi, 2024. "Variable horizon multivariate driving pattern recognition framework based on vehicle-road two-dimensional information for electric vehicle," Applied Energy, Elsevier, vol. 365(C).
    18. Xiao, B. & Ruan, J. & Yang, W. & Walker, P.D. & Zhang, N., 2021. "A review of pivotal energy management strategies for extended range electric vehicles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    19. Dong, Peng & Zhao, Junwei & Liu, Xuewu & Wu, Jian & Xu, Xiangyang & Liu, Yanfang & Wang, Shuhan & Guo, Wei, 2022. "Practical application of energy management strategy for hybrid electric vehicles based on intelligent and connected technologies: Development stages, challenges, and future trends," Renewable and Sustainable Energy Reviews, Elsevier, vol. 170(C).
    20. Guo, Ningyuan & Zhang, Xudong & Zou, Yuan & Guo, Lingxiong & Du, Guodong, 2021. "Real-time predictive energy management of plug-in hybrid electric vehicles for coordination of fuel economy and battery degradation," Energy, Elsevier, vol. 214(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:336:y:2025:i:c:s0360544225041337. 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.