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Robust Integration of Electric Vehicles Charging Load in Smart Grid’s Capacity Expansion Planning

Author

Listed:
  • Sajad Aliakbari Sani

    (HEC Montréal)

  • Olivier Bahn

    (HEC Montréal)

  • Erick Delage

    (HEC Montréal)

  • Rinel Foguen Tchuendom

    (CIM and McGill University)

Abstract

Battery charging of electric vehicles (EVs) needs to be properly coordinated by electricity producers to maintain the network reliability. In this paper, we propose a robust approach to model the interaction between a large fleet of EV users and utilities in a long-term generation expansion planning problem. In doing so, we employ a robust multi-period adjustable generation expansion planning problem, called R-ETEM, in which demand responses of EV users are uncertain. Then, we employ a linear quadratic game to simulate the average charging behavior of the EV users. The two models are coupled through a dynamic price signal broadcasted by the utility. Mean field game theory is used to solve the linear quadratic game model. Finally, we develop a new coupling algorithm between R-ETEM and the linear quadratic game with the purpose of adjusting in R-ETEM the uncertainty level of EV demand responses. The performance of our approach is evaluated on a realistic case study that represents the energy system of the Swiss “Arc Lémanique” region. Results show that a robust behaviorally-consistent generation expansion plan can potentially reduce the total actual cost of the system by 6.2% compared to a behaviorally inconsistent expansion plan.

Suggested Citation

  • Sajad Aliakbari Sani & Olivier Bahn & Erick Delage & Rinel Foguen Tchuendom, 2022. "Robust Integration of Electric Vehicles Charging Load in Smart Grid’s Capacity Expansion Planning," Dynamic Games and Applications, Springer, vol. 12(3), pages 1010-1041, September.
    • Handle: RePEc:spr:dyngam:v:12:y:2022:i:3:d:10.1007_s13235-022-00454-y
    DOI: 10.1007/s13235-022-00454-y
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    References listed on IDEAS

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    Cited by:

    1. Anna Auza & Ehsan Asadi & Behrang Chenari & Manuel Gameiro da Silva, 2023. "A Systematic Review of Uncertainty Handling Approaches for Electric Grids Considering Electrical Vehicles," Energies, MDPI, vol. 16(13), pages 1-25, June.
    2. Florian Wagener, 2022. "Dynamic Games in Environmental Economics and Management," Dynamic Games and Applications, Springer, vol. 12(3), pages 747-750, September.

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