IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v199y2025ics0965856425002186.html

Dynamic equilibrium of the coupled transportation and power networks considering electric vehicles charging behavior

Author

Listed:
  • Song, Yingjie
  • Ngoduy, Dong
  • Dantsuji, Takao
  • Ding, Chuan

Abstract

The coupling between the transportation network (TN) and power distribution network (PDN) is becoming more significant due to the increasing use of electric vehicles (EVs) and fast charging stations (FCSs). Accurately characterizing the dynamic coupling between TN and PDN is crucial. However, existing literature exhibits significant deficiencies in modeling the travel behaviors of gasoline vehicles (GVs) and EVs, as well as the propagation characteristics of mixed traffic networks. Moreover, it overlooks the queuing capacity limits of FCSs and the impact of queue overflow on TN. To address these issues, this study presents a stochastic dynamic user equilibrium (SDUE) modeling framework for coupled networks considering EVs charging behavior. This framework comprehensively captures the dynamic interactions among departure times, path choices, FCS choices, and electricity prices within the TN and PDN. To capture the traffic dynamics, a multi-class traffic flow propagation model for EVs and GVs, considering EV charging behavior, is developed. Additionally, an improved fixed-point algorithm is proposed to obtain the dynamic equilibrium state of the coupled networks. Case studies reveal that reducing FCS capacity degrades overall network performance. Therefore, it is essential to consider queue overflow when devising traffic policies to enhance network performance and assessing the layout of FCSs. Furthermore, the results indicate that the coupled operation strategy, in comparison to independent operation strategies, can reduce total traffic delay costs by 28.4%, decrease average waiting time at FCSs by 28.7%, and lower power losses by 11.7%. These findings underscore the significance of collaborative management and planning of TN and PDN in response to the escalating demand for EVs.

Suggested Citation

  • Song, Yingjie & Ngoduy, Dong & Dantsuji, Takao & Ding, Chuan, 2025. "Dynamic equilibrium of the coupled transportation and power networks considering electric vehicles charging behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 199(C).
  • Handle: RePEc:eee:transa:v:199:y:2025:i:c:s0965856425002186
    DOI: 10.1016/j.tra.2025.104590
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0965856425002186
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tra.2025.104590?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. Hong Gao & Kai Liu & Xinchao Peng & Cheng Li, 2020. "Optimal Location of Fast Charging Stations for Mixed Traffic of Electric Vehicles and Gasoline Vehicles Subject to Elastic Demands," Energies, MDPI, vol. 13(8), pages 1-16, April.
    2. Friesz, Terry L. & Kim, Taeil & Kwon, Changhyun & Rigdon, Matthew A., 2011. "Approximate network loading and dual-time-scale dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 176-207, January.
    3. Cascetta, Ennio & Russo, Francesco & Viola, Francesco A. & Vitetta, Antonino, 2002. "A model of route perception in urban road networks," Transportation Research Part B: Methodological, Elsevier, vol. 36(7), pages 577-592, August.
    4. Ke, Jintao & Cen, Xuekai & Yang, Hai & Chen, Xiqun & Ye, Jieping, 2019. "Modelling drivers’ working and recharging schedules in a ride-sourcing market with electric vehicles and gasoline vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 160-180.
    5. Lizhi Wang & Anhua Lin & Yihsu Chen, 2010. "Potential impact of recharging plug‐in hybrid electric vehicles on locational marginal prices," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(8), pages 686-700, December.
    6. Golsefidi, Atefeh Hemmati & Hüttel, Frederik Boe & Peled, Inon & Samaranayake, Samitha & Pereira, Francisco Câmara, 2023. "A joint machine learning and optimization approach for incremental expansion of electric vehicle charging infrastructure," Transportation Research Part A: Policy and Practice, Elsevier, vol. 178(C).
    7. Liu, Ke & Liu, Yanli, 2023. "Stochastic user equilibrium based spatial-temporal distribution prediction of electric vehicle charging load," Applied Energy, Elsevier, vol. 339(C).
    8. Long, Jiancheng & Gao, Ziyou & Szeto, W.Y., 2011. "Discretised link travel time models based on cumulative flows: Formulations and properties," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 232-254, January.
    9. He, Fang & Wu, Di & Yin, Yafeng & Guan, Yongpei, 2013. "Optimal deployment of public charging stations for plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 87-101.
    10. Huang, Kai & An, Kun & Rich, Jeppe & Ma, Wanjing, 2020. "Vehicle relocation in one-way station-based electric carsharing systems: A comparative study of operator-based and user-based methods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    11. Ngoduy, Dong & Hoang, N.H. & Vu, H.L. & Watling, D., 2021. "Multiclass dynamic system optimum solution for mixed traffic of human-driven and automated vehicles considering physical queues," Transportation Research Part B: Methodological, Elsevier, vol. 145(C), pages 56-79.
    12. Santos, Georgina & Davies, Huw, 2020. "Incentives for quick penetration of electric vehicles in five European countries: Perceptions from experts and stakeholders," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 326-342.
    13. Gardner, Lauren M. & Duell, Melissa & Waller, S. Travis, 2013. "A framework for evaluating the role of electric vehicles in transportation network infrastructure under travel demand variability," Transportation Research Part A: Policy and Practice, Elsevier, vol. 49(C), pages 76-90.
    14. Tran, Cong Quoc & Keyvan-Ekbatani, Mehdi & Ngoduy, Dong & Watling, David, 2021. "Stochasticity and environmental cost inclusion for electric vehicles fast-charging facility deployment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    15. Smith, M. J., 1993. "A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 27(1), pages 49-63, February.
    16. Zhou, Zhe & Zhang, Xuan & Guo, Qinglai & Sun, Hongbin, 2021. "Analyzing power and dynamic traffic flows in coupled power and transportation networks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).
    17. Caperello, Nicolette & Kurani, Kenneth S. & TyreeHageman, Jennifer, 2013. "Do You Mind if I Plug-in My Car? How etiquette shapes PEV drivers’ vehicle charging behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 54(C), pages 155-163.
    18. Longsheng Sun & Mark H. Karwan & Changhyun Kwon, 2016. "Incorporating Driver Behaviors in Network Design Problems: Challenges and Opportunities," Transport Reviews, Taylor & Francis Journals, vol. 36(4), pages 454-478, July.
    19. Chen, Yuanyi & Hu, Simon & Zheng, Yanchong & Xie, Shiwei & Hu, Qinru & Yang, Qiang, 2024. "Coordinated expansion planning of coupled power and transportation networks considering dynamic network equilibrium," Applied Energy, Elsevier, vol. 360(C).
    20. Xiang Zhang & David Rey & S. Travis Waller & Nathan Chen, 2019. "Range-Constrained Traffic Assignment with Multi-Modal Recharge for Electric Vehicles," Networks and Spatial Economics, Springer, vol. 19(2), pages 633-668, June.
    21. Smith, M. J., 1979. "The existence, uniqueness and stability of traffic equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 295-304, December.
    22. Xie, Shiwei & Hu, Zhijian & Wang, Jueying, 2020. "Two-stage robust optimization for expansion planning of active distribution systems coupled with urban transportation networks," Applied Energy, Elsevier, vol. 261(C).
    23. Hou, Hui & Xue, Mengya & Xu, Yan & Xiao, Zhenfeng & Deng, Xiangtian & Xu, Tao & Liu, Peng & Cui, Rongjian, 2020. "Multi-objective economic dispatch of a microgrid considering electric vehicle and transferable load," Applied Energy, Elsevier, vol. 262(C).
    24. He, Sylvia Y. & Kuo, Yong-Hong & Sun, Ka Kit, 2022. "The spatial planning of public electric vehicle charging infrastructure in a high-density city using a contextualised location-allocation model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 160(C), pages 21-44.
    25. Lv, Shengnan & Xiao, Anran & Qin, Yong & Xu, Zeshui & Wang, Xinxin, 2024. "A decision framework for improving the service quality of charging stations based on online reviews and evolutionary game theory," Transportation Research Part A: Policy and Practice, Elsevier, vol. 187(C).
    26. Ke Han & Gabriel Eve & Terry L. Friesz, 2019. "Computing Dynamic User Equilibria on Large-Scale Networks with Software Implementation," Networks and Spatial Economics, Springer, vol. 19(3), pages 869-902, September.
    27. Jia, Wenjian & Chen, T. Donna, 2023. "Investigating heterogeneous preferences for plug-in electric vehicles: Policy implications from different choice models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 173(C).
    28. Li, Hao & Yu, Lu & Chen, Yu & Tu, Huizhao & Zhang, Jun, 2023. "Uncertainty of available range in explaining the charging choice behavior of BEV users," Transportation Research Part A: Policy and Practice, Elsevier, vol. 170(C).
    29. Yuan, Quan & Ye, Yujian & Tang, Yi & Liu, Yuanchang & Strbac, Goran, 2022. "A novel deep-learning based surrogate modeling of stochastic electric vehicle traffic user equilibrium in low-carbon electricity–transportation nexus," Applied Energy, Elsevier, vol. 315(C).
    30. Han, Ke & Friesz, Terry L. & Yao, Tao, 2013. "Existence of simultaneous route and departure choice dynamic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 17-30.
    31. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun & Gao, Ziyou, 2015. "An intersection-movement-based stochastic dynamic user optimal route choice model for assessing network performance," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 182-217.
    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. Song, Yingjie & Ngoduy, Dong & Ding, Chuan, 2026. "Coordinated emergency resource allocation for resilience enhancement in post-disaster electrified transportation networks," Journal of Transport Geography, Elsevier, vol. 130(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. Chen, Yuanyi & Hu, Simon & Zheng, Yanchong & Xie, Shiwei & Hu, Qinru & Yang, Qiang, 2024. "Coordinated expansion planning of coupled power and transportation networks considering dynamic network equilibrium," Applied Energy, Elsevier, vol. 360(C).
    2. Long, Jiancheng & Szeto, W.Y. & Gao, Ziyou & Huang, Hai-Jun & Shi, Qin, 2016. "The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 179-206.
    3. Qixiu Cheng & Zhiyuan Liu & Feifei Liu & Ruo Jia, 2017. "Urban dynamic congestion pricing: an overview and emerging research needs," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 21(0), pages 3-18, August.
    4. Lu, Gongyuan & Nie, Yu(Marco) & Liu, Xiaobo & Li, Denghui, 2019. "Trajectory-based traffic management inside an autonomous vehicle zone," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 76-98.
    5. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun & Gao, Ziyou, 2015. "An intersection-movement-based stochastic dynamic user optimal route choice model for assessing network performance," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 182-217.
    6. Duong Viet Thong & Aviv Gibali & Mathias Staudigl & Phan Tu Vuong, 2021. "Computing Dynamic User Equilibrium on Large-Scale Networks Without Knowing Global Parameters," Networks and Spatial Economics, Springer, vol. 21(3), pages 735-768, September.
    7. Wang, Guanfeng & Jia, Hongfei & Feng, Tao & Tian, Jingjing & Wu, Ruiyi & Gao, Heyao & Liu, Chao, 2024. "Modelling the dual dynamic traffic flow evolution with information perception differences between human-driven vehicles and connected autonomous vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    8. Li, Jia & Li, Bin & Liu, Zhitao & Su, Hongye, 2025. "Co-optimized operation of electrified transportation systems considering mixed human and automated traffic flows," Energy, Elsevier, vol. 324(C).
    9. Long, Jiancheng & Wang, Chao & Szeto, W.Y., 2018. "Dynamic system optimum simultaneous route and departure time choice problems: Intersection-movement-based formulations and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 166-206.
    10. Zeng, Bing & Yu, Xinlian & Zhang, Zihao & Pu, Ziyuan, 2025. "Optimizing charging station locations for mixed traffic of electric and gasoline vehicles: a stochastic user equilibrium approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 204(C).
    11. Baden, Katharina Benedetta, 2025. "More than just miles: range anxiety unplugged," Transportation Research Part A: Policy and Practice, Elsevier, vol. 200(C).
    12. Bellei, Giuseppe & Gentile, Guido & Papola, Natale, 2005. "A within-day dynamic traffic assignment model for urban road networks," Transportation Research Part B: Methodological, Elsevier, vol. 39(1), pages 1-29, January.
    13. Li, Bin & Li, Jia & Liu, Zhitao & Su, Hongye, 2025. "Capacity optimization of a transportation-power coupled network based on elastic traffic demand user equilibrium using a multi-step evolutionary algorithm," Energy, Elsevier, vol. 334(C).
    14. Li, Zepeng & Wu, Qiuwei & Li, Hui & Nie, Chengkai & Tan, Jin, 2024. "Distributed low-carbon economic dispatch of integrated power and transportation system," Applied Energy, Elsevier, vol. 353(PA).
    15. Sun, Mingmei, 2023. "A day-to-day dynamic model for mixed traffic flow of autonomous vehicles and inertial human-driven vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 173(C).
    16. Wang, Dong & Liao, Feixiong & Gao, Ziyou & Rasouli, Soora & Huang, Hai-Jun, 2020. "Tolerance-based column generation for boundedly rational dynamic activity-travel assignment in large-scale networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    17. Ran, Bin & Hall, Randolph W. & Boyce, David E., 1996. "A link-based variational inequality model for dynamic departure time/route choice," Transportation Research Part B: Methodological, Elsevier, vol. 30(1), pages 31-46, February.
    18. Khaleghikarahrodi, Mehrsa & Macht, Gretchen A., 2023. "Patterns, no patterns, that is the question: Quantifying users’ electric vehicle charging," Transport Policy, Elsevier, vol. 141(C), pages 291-304.
    19. Cui, Jingshi & Cao, Yi & Wang, Bo & Wu, Jiaman, 2025. "Multi-stage adaptive expansion of EV charging stations considering impacts from the transportation network and power grid," Applied Energy, Elsevier, vol. 386(C).
    20. Lai Wei & Yongpei Guan, 2014. "Optimal Control of Plug-In Hybrid Electric Vehicles with Market Impact and Risk Attitude," Transportation Science, INFORMS, vol. 48(4), pages 467-482, November.

    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:transa:v:199:y:2025:i:c:s0965856425002186. 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/547/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.