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Congestion patterns of electric vehicles with limited battery capacity

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  • Wentao Jing
  • Mohsen Ramezani
  • Kun An
  • Inhi Kim

Abstract

The path choice behavior of battery electric vehicle (BEV) drivers is influenced by the lack of public charging stations, limited battery capacity, range anxiety and long battery charging time. This paper investigates the congestion/flow pattern captured by stochastic user equilibrium (SUE) traffic assignment problem in transportation networks with BEVs, where the BEV paths are restricted by their battery capacities. The BEV energy consumption is assumed to be a linear function of path length and path travel time, which addresses both path distance limit problem and road congestion effect. A mathematical programming model is proposed for the path-based SUE traffic assignment where the path cost is the sum of the corresponding link costs and a path specific out-of-energy penalty. We then apply the convergent Lagrangian dual method to transform the original problem into a concave maximization problem and develop a customized gradient projection algorithm to solve it. A column generation procedure is incorporated to generate the path set. Finally, two numerical examples are presented to demonstrate the applicability of the proposed model and the solution algorithm.

Suggested Citation

  • Wentao Jing & Mohsen Ramezani & Kun An & Inhi Kim, 2018. "Congestion patterns of electric vehicles with limited battery capacity," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-18, March.
    • Handle: RePEc:plo:pone00:0194354
    DOI: 10.1371/journal.pone.0194354
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    References listed on IDEAS

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    1. He, Fang & Yin, Yafeng & Lawphongpanich, Siriphong, 2014. "Network equilibrium models with battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 306-319.
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    Cited by:

    1. Weidong Meng & Ye Wang & Yuyu Li & Bo Huang, 2020. "Impact of product subsidies on R&D investment for new energy vehicle firms: Considering quality preference of the early adopter group," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-14, July.
    2. Hassan S Hayajneh & Maximiliano Lainfiesta Herrera & Xuewei Zhang, 2021. "Design of combined stationary and mobile battery energy storage systems," PLOS ONE, Public Library of Science, vol. 16(12), pages 1-21, December.

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