Abstract

This study researches the dynamical location optimization problem of a mobile charging station (MCS) powered by a LiFePO 4 battery to meet charging demand of electric vehicles (EVs). In city suburbs, a large public charging tower is deployed to provide recharging services for MCS. The EV’s driver can reserve a real-time off-street charging service on the MCS through a vehicular communication network. This study formulates a multi-period nonlinear flow-refueling location model (MNFRLM) to optimize the location of the MCS based on a network designed by Nguyen and Dupuis (1984). The study transforms the MNFRLM model into a linear integer programming model using a linearization algorithm, and obtains global solution via the NEOS cloud CPLEX solver. Numerical experiments are presented to demonstrate the model and its solution algorithm.

Highlights

  • With economic growth, the rate of world urbanization is continuously accelerating, e.g., China’s urbanization rate grew from 12.84% in 1953 to 58% in 2018 [1]

  • This study found that the mobile charging station (MCS) relocation rate did not increase significantly with variation in time period, even with the consideration that the traffic flow of the road network increases at a rate of 5% per year

  • By modeling and solving based on a dynamic location planning of MCSs to capture the largest electric vehicles (EVs) traffic flow, the proposed method is more space -saving than the traditional fixed charging station deployment; (2)

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Summary

Introduction

The rate of world urbanization is continuously accelerating, e.g., China’s urbanization rate grew from 12.84% in 1953 to 58% in 2018 [1]. Previous researcher has studied multiple types of recharging stations for EVs, including the deviation flow refueling location model (DFRLM) and the MFRLM, which are based on the FRLM [25]. This study formulates a new model that considers multiple period equilibrium planning of mobile charging station for EVs. The study extends scenarios of MCS to cover the EV’s path flow and builds on previous studies by Sung Hoon et al and Ying-Wei Wang. The study extends scenarios of MCS to cover the EV’s path flow and builds on previous studies by Sung Hoon et al and Ying-Wei Wang These previous studies researched the maximum coverage of a fixed charging station problem in multi-periods and even evaluated the distinct types of charging facility deployment.

Problem Description and Definition
Scenario Descriptions
Notation
Model Formulation
Solution Method
Linearization of Objective Function
Linearization of the Path Choice Probability Constraints
Linearization of Link Travel Cost
Linearization of Logarithm Terms
Reformulated Model
Numerical Example
Variation of Sensitivity to the Capacity of a Mobile Charging Station
Findings
Conclusions
Full Text
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