Traffic Equilibrium and Charging Facility Locations for Electric Vehicles

Hong Zheng, Xiaozheng He, Yongfu Li and Srinivas Peeta ()
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Hong Zheng: Purdue University
Xiaozheng He: Purdue University
Yongfu Li: Purdue University
Srinivas Peeta: Purdue University

Networks and Spatial Economics, 2017, vol. 17, issue 2, No 5, 435-457

Abstract: Abstract This study investigates the electric vehicle (EV) traffic equilibrium and optimal deployment of charging locations subject to range limitation. The problem is similar to a network design problem with traffic equilibrium, which is characterized by a bi-level model structure. The upper level objective is to optimally locate charging stations such that the total generalized cost of all users is minimized, where the user’s generalized cost includes two parts, travel time and energy consumption. The total generalized cost is a measure of the total societal cost. The lower level model seeks traffic equilibrium, in which travelers minimize their individual generalized cost. All the utilized paths have identical generalized cost while satisfying the range limitation constraint. In particular, we use origin-based flows to maintain the range limitation constraint at the path level without path enumeration. To obtain the global solution, the optimality condition of the lower level model is added to the upper level problem resulting in a single level model. The nonlinear travel time function is approximated by piecewise linear functions, enabling the problem to be formulated as a mixed integer linear program. We use a modest-sized network to analyze the model and illustrate that it can determine the optimal charging station locations in a planning context while factoring the EV users’ individual path choice behaviours.

Keywords: Electric vehicle; Traffic equilibrium; Network design; Charging location; Single level model (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (16)

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DOI: 10.1007/s11067-016-9332-z

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