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Optimal battery purchasing and charging strategy at electric vehicle battery swap stations

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  • Sun, Bo
  • Sun, Xu
  • Tsang, Danny H.K.
  • Whitt, Ward

Abstract

A battery swap station (BSS) is a facility where electric vehicle owners can quickly exchange their depleted battery for a fully-charged one. In order for battery swap to be economically sound, the BSS operator must make a long-term decision on the number of charging bays in the facility, a medium-term decision on the number of batteries in the system, and short-term decisions on when and how many batteries to recharge. In this paper, we introduce a periodic fluid model to describe charging operations at a BSS facing time-varying demand for battery swap and time-varying prices for charging empty batteries, with the objective of finding an optimal battery purchasing and charging policy that best trades off battery investment cost and operating cost including charging cost and cost of customer waiting. We consider a two-stage optimization problem: An optimal amount of battery fluid is identified in the first stage. In the second stage, an optimal charging rule is determined by solving a continuous-time optimal control problem. We characterize the optimal charging policy via Pontryagin’s maximum principle and derive an explicit upper bound for the optimal amount of battery fluid which allows us to quantify the joint effect of demand patterns and electricity prices on battery investment decisions. In particular, fewer batteries are needed when the peaks and the troughs of these periodic functions occur at different times.

Suggested Citation

  • Sun, Bo & Sun, Xu & Tsang, Danny H.K. & Whitt, Ward, 2019. "Optimal battery purchasing and charging strategy at electric vehicle battery swap stations," European Journal of Operational Research, Elsevier, vol. 279(2), pages 524-539.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:2:p:524-539
    DOI: 10.1016/j.ejor.2019.06.019
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    References listed on IDEAS

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    1. Ioannis Bellos & Mark Ferguson & L. Beril Toktay, 2017. "The Car Sharing Economy: Interaction of Business Model Choice and Product Line Design," Manufacturing & Service Operations Management, INFORMS, vol. 19(2), pages 185-201, May.
    2. Ho-Yin Mak & Ying Rong & Zuo-Jun Max Shen, 2013. "Infrastructure Planning for Electric Vehicles with Battery Swapping," Management Science, INFORMS, vol. 59(7), pages 1557-1575, July.
    3. Long He & Ho-Yin Mak & Ying Rong & Zuo-Jun Max Shen, 2017. "Service Region Design for Urban Electric Vehicle Sharing Systems," Manufacturing & Service Operations Management, INFORMS, vol. 19(2), pages 309-327, May.
    4. Kurtz, Thomas G., 1978. "Strong approximation theorems for density dependent Markov chains," Stochastic Processes and their Applications, Elsevier, vol. 6(3), pages 223-240, February.
    5. Diaz, Angel & Fu, Michael C., 1997. "Models for multi-echelon repairable item inventory systems with limited repair capacity," European Journal of Operational Research, Elsevier, vol. 97(3), pages 480-492, March.
    6. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    7. Rebecca S. Widrick & Sarah G. Nurre & Matthew J. Robbins, 2018. "Optimal Policies for the Management of an Electric Vehicle Battery Swap Station," Transportation Science, INFORMS, vol. 52(1), pages 59-79, January.
    8. Jens Ove Riis, 1965. "Discounted Markov Programming in a Periodic Process," Operations Research, INFORMS, vol. 13(6), pages 920-929, December.
    9. Jie, Wanchen & Yang, Jun & Zhang, Min & Huang, Yongxi, 2019. "The two-echelon capacitated electric vehicle routing problem with battery swapping stations: Formulation and efficient methodology," European Journal of Operational Research, Elsevier, vol. 272(3), pages 879-904.
    10. Constantinos Maglaras & Joern Meissner, 2006. "Dynamic Pricing Strategies for Multiproduct Revenue Management Problems," Manufacturing & Service Operations Management, INFORMS, vol. 8(2), pages 136-148, July.
    11. Nurre, Sarah G. & Bent, Russell & Pan, Feng & Sharkey, Thomas C., 2014. "Managing operations of plug-in hybrid electric vehicle (PHEV) exchange stations for use with a smart grid," Energy Policy, Elsevier, vol. 67(C), pages 364-377.
    12. Ward Whitt, 2006. "Staffing a Call Center with Uncertain Arrival Rate and Absenteeism," Production and Operations Management, Production and Operations Management Society, vol. 15(1), pages 88-102, March.
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