IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v395y2025ics030626192500981x.html

Robust dynamic charging price in PV-assisted charging stations

Author

Listed:
  • Tostado-Véliz, Marcos
  • Hasanien, Hany M.
  • Arévalo, Paul
  • Jurado, Francisco

Abstract

With the increasing number of electric vehicles on road, the deployment of sufficient public charging infrastructures has become critical. To encourage the installation of new public charging points, such infrastructures need to be economically viable and profitable. In this regard, exploring economic activities within charging infrastructures has become a key topic to ensure the long-term financial sustainability of charging installations. In line with this objective, this paper develops a new robust methodology to setting dynamic charging prices in charging stations. Unlike to conventional charging prices based on flat tariffs, dynamic pricing strategies can follow wholesale electricity prices, potentially setting low prices and therefore displacing the fleet from domestic to public charging. The new proposal renders as a game-theoretical max-min bi-level optimization problem. To address the initial complexity of the formulation, a tailored solution algorithm is developed, which allows accessing to robust solutions efficiently. An adaptive robust modelling of uncertainties is proposed, based on intervals, which allows representing uncertainties as box-constrained variables. Moreover, this paper contributes with a new data-driven approach to determine limits on uncertainties based on bootstrapping. The new solution strategy is validated on a benchmark large-scale charging station installing a photovoltaic facility. Additionally, the effect of the risk level and photovoltaic size on final results is evaluated. In addition, the effectiveness of the charging pricing strategy is assessed, along with the influence of uncertainties on the final results.

Suggested Citation

  • Tostado-Véliz, Marcos & Hasanien, Hany M. & Arévalo, Paul & Jurado, Francisco, 2025. "Robust dynamic charging price in PV-assisted charging stations," Applied Energy, Elsevier, vol. 395(C).
  • Handle: RePEc:eee:appene:v:395:y:2025:i:c:s030626192500981x
    DOI: 10.1016/j.apenergy.2025.126251
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030626192500981X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2025.126251?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. Roald, Line A. & Pozo, David & Papavasiliou, Anthony & Molzahn, Daniel K. & Kazempour, Jalal & Conejo, Antonio, 2023. "Power systems optimization under uncertainty: a review of methods and applications," LIDAM Reprints CORE 3257, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Tostado-Véliz, Marcos & Jordehi, Ahmad Rezaee & Mansouri, Seyed Amir & Jurado, Francisco, 2023. "A two-stage IGDT-stochastic model for optimal scheduling of energy communities with intelligent parking lots," Energy, Elsevier, vol. 263(PD).
    3. Ruiz, C. & Conejo, A.J., 2015. "Robust transmission expansion planning," European Journal of Operational Research, Elsevier, vol. 242(2), pages 390-401.
    4. Tostado-Véliz, Marcos & Kamel, Salah & Hasanien, Hany M. & Arévalo, Paul & Turky, Rania A. & Jurado, Francisco, 2022. "A stochastic-interval model for optimal scheduling of PV-assisted multi-mode charging stations," Energy, Elsevier, vol. 253(C).
    5. Tostado-Véliz, Marcos & Rezaee Jordehi, Ahmad & Zhou, Yuekuan & Mansouri, Seyed Amir & Jurado, Francisco, 2024. "Best-case-aware planning of photovoltaic-battery systems for multi-mode charging stations," Renewable Energy, Elsevier, vol. 225(C).
    6. Afentoulis, Konstantinos D. & Bampos, Zafeirios N. & Vagropoulos, Stylianos I. & Keranidis, Stratos D. & Biskas, Pantelis N., 2022. "Smart charging business model framework for electric vehicle aggregators," Applied Energy, Elsevier, vol. 328(C).
    7. Dong, Xiaohong & Mu, Yunfei & Xu, Xiandong & Jia, Hongjie & Wu, Jianzhong & Yu, Xiaodan & Qi, Yan, 2018. "A charging pricing strategy of electric vehicle fast charging stations for the voltage control of electricity distribution networks," Applied Energy, Elsevier, vol. 225(C), pages 857-868.
    8. 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).
    9. Qian, Tao & Liang, Zeyu & Shao, Chengcheng & Guo, Zishan & Hu, Qinran & Wu, Zaijun, 2025. "Unsupervised learning for efficiently distributing EVs charging loads and traffic flows in coupled power and transportation systems," Applied Energy, Elsevier, vol. 377(PB).
    10. Sheng, Yujie & Guo, Qinglai & Chen, Feng & Xu, Luo & Zhang, Yang, 2021. "Coordinated pricing of coupled urban Power-Traffic Networks: The value of information sharing," Applied Energy, Elsevier, vol. 301(C).
    11. Li, Yang & Wang, Bin & Yang, Zhen & Li, Jiazheng & Chen, Chen, 2022. "Hierarchical stochastic scheduling of multi-community integrated energy systems in uncertain environments via Stackelberg game," Applied Energy, Elsevier, vol. 308(C).
    12. Hua, Weiqi & Jiang, Jing & Sun, Hongjian & Teng, Fei & Strbac, Goran, 2022. "Consumer-centric decarbonization framework using Stackelberg game and Blockchain," Applied Energy, Elsevier, vol. 309(C).
    13. Tostado-Véliz, Marcos & Jin, Xiaolong & Bhakar, Rohit & Jurado, Francisco, 2024. "Coordinated pricing mechanism for parking clusters considering interval-guided uncertainty-aware strategies," Applied Energy, Elsevier, vol. 355(C).
    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. Yang, Guixiang & Zhang, Hao & Qiu, Lin, 2026. "Graph-based multi-agent reinforcement learning with an enriched environment for joint ride-sharing and charging optimization," Applied Energy, Elsevier, vol. 405(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. Tostado-Véliz, Marcos & Jin, Xiaolong & Bhakar, Rohit & Jurado, Francisco, 2024. "Coordinated pricing mechanism for parking clusters considering interval-guided uncertainty-aware strategies," Applied Energy, Elsevier, vol. 355(C).
    2. Tostado-Véliz, Marcos & Rezaee Jordehi, Ahmad & Zhou, Yuekuan & Mansouri, Seyed Amir & Jurado, Francisco, 2024. "Best-case-aware planning of photovoltaic-battery systems for multi-mode charging stations," Renewable Energy, Elsevier, vol. 225(C).
    3. Tostado-Véliz, Marcos & Hasanien, Hany M. & Gómez-González, Manuel & Jurado, Francisco, 2025. "Robust rooftop photovoltaic planning in energy communities," Renewable Energy, Elsevier, vol. 243(C).
    4. Tostado-Véliz, Marcos & Hasanien, Hany M. & Carpio, José & Jurado, Francisco, 2025. "Risk-aware strategies for optimal participation of parking lots in day-ahead electricity markets," Energy, Elsevier, vol. 322(C).
    5. 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).
    6. Jiang, Tao & Wu, Chenghao & Huang, Tao & Zhang, Rufeng & Li, Xue & Wu, Jianzhong, 2025. "TSO-DSOs coordinated framework for provision of flexibility in coupled power-transportation network," Applied Energy, Elsevier, vol. 392(C).
    7. 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).
    8. Zhou, Ze & Liu, Zhitao & Su, Hongye & Zhang, Liyan, 2023. "Planning of static and dynamic charging facilities for electric vehicles in electrified transportation networks," Energy, Elsevier, vol. 263(PE).
    9. León Japa, Rogelio S. & Tostado-Véliz, Marcos & Ogáyar, Blas & Jurado, Francisco, 2025. "A tri-level model for optimal management of active distribution networks enabling two-layer local markets," Applied Energy, Elsevier, vol. 380(C).
    10. Dorahaki, Sobhan & Rashidinejad, Masoud & Fatemi Ardestani, Seyed Farshad & Abdollahi, Amir & Salehizadeh, Mohammad Reza, 2023. "An integrated model for citizen energy communities and renewable energy communities based on clean energy package: A two-stage risk-based approach," Energy, Elsevier, vol. 277(C).
    11. Tostado-Véliz, Marcos & Rezaee Jordehi, Ahmad & Mansouri, Seyed Amir & Zhou, Yuekuan & Jurado, Francisco, 2024. "A local electricity-hydrogen market model for industrial parks," Applied Energy, Elsevier, vol. 360(C).
    12. Sheng, Yujie & Zeng, Hongtai & Guo, Qinglai & Yu, Yang & Li, Qiang, 2023. "Impact of customer portrait information superiority on competitive pricing of EV fast-charging stations," Applied Energy, Elsevier, vol. 348(C).
    13. Tostado-Véliz, Marcos & Hasanien, Hany M. & Rezaee Jordehi, Ahmad & Turky, Rania A. & Gómez-González, Manuel & Jurado, Francisco, 2023. "An Interval-based privacy – Aware optimization framework for electricity price setting in isolated microgrid clusters," Applied Energy, Elsevier, vol. 340(C).
    14. Shafqat Jawad & Junyong Liu, 2020. "Electrical Vehicle Charging Services Planning and Operation with Interdependent Power Networks and Transportation Networks: A Review of the Current Scenario and Future Trends," Energies, MDPI, vol. 13(13), pages 1-24, July.
    15. Baringo, Luis & Boffino, Luigi & Oggioni, Giorgia, 2020. "Robust expansion planning of a distribution system with electric vehicles, storage and renewable units," Applied Energy, Elsevier, vol. 265(C).
    16. Wang, Tonghe & Hua, Haochen & Shi, Tianying & Wang, Rui & Sun, Yizhong & Naidoo, Pathmanathan, 2024. "A bi-level dispatch optimization of multi-microgrid considering green electricity consumption willingness under renewable portfolio standard policy," Applied Energy, Elsevier, vol. 356(C).
    17. Grimm, Veronika & Schewe, Lars & Schmidt, Martin & Zöttl, Gregor, 2017. "Uniqueness of market equilibrium on a network: A peak-load pricing approach," European Journal of Operational Research, Elsevier, vol. 261(3), pages 971-983.
    18. Vasilikis, Nikolaos & Geertsma, Rinze & Coraddu, Andrea, 2025. "A multi-objective optimisation framework for the design of ship energy systems under operational and environmental uncertainty," Applied Energy, Elsevier, vol. 402(PA).
    19. Hao, Ran & Lu, Tianguang & Ai, Qian & Wang, Zhe & Wang, Xiaolong, 2020. "Distributed online learning and dynamic robust standby dispatch for networked microgrids," Applied Energy, Elsevier, vol. 274(C).
    20. Mingshan Mo & Xinrui Xiong & Yunlong Wu & Zuyao Yu, 2023. "Deep-Reinforcement-Learning-Based Low-Carbon Economic Dispatch for Community-Integrated Energy System under Multiple Uncertainties," Energies, MDPI, vol. 16(22), pages 1-18, 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:appene:v:395:y:2025:i:c:s030626192500981x. 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.