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Optimal deployment of charging lanes for electric vehicles in transportation networks
Institution:1. Department of Civil and Coastal Engineering, University of Florida, 365 Weil Hall, Gainesville, FL 32611-6580, United States;2. Department of Industrial Engineering, Tsinghua University, N502 Shunde Building, Beijing, 100084, PR China;1. Institut en Economia Aplicada (IREA) - Grup de Governs i Mercats (GiM), Universitat de Barcelona, Diagonal Av. 690 Tower 6 office 6334, Barcelona 08034, Spain;2. Dep. de Econometría, Estadística y Economía Aplicada - Institut en Economia Aplicada (IREA) - Grup de Governs i Mercats (GiM), Universitat de Barcelona, Diagonal Av. 690 Tower 6 Office 6318, Barcelona 08034, Spain;3. Public-Private Sector Research Center - IESE Business School, University of Navarra, Spain;4. Centre en Economia de la Salud (CRES) - Universitat Pompeu Fabra, Spain;5. Departament d’Economia Aplicada, Universitat Autonoma de Barcelona, Edifici B - Campus UAB, Bellaterra 08193, Spain;1. Department of Civil and Coastal Engineering, University of Florida, 365 Weil Hall, Gainesville, FL 32611-6580, United States;2. Department of Industrial Engineering, Tsinghua University, N502 Shunde Building, Beijing 100084, China;3. School of Transportation Engineering, Tongji University, Shanghai 201804, China;1. Department of Civil and Environmental Engineering, National University of Singapore, Singapore 117576, Singapore;2. School of Transportation and Logistics, Dalian University of Technology, Dalian 116024, PR China\n
Abstract:Given the rapid development of charging-while-driving technology, we envision that charging lanes for electric vehicles can be deployed in regional or even urban road networks in the future and thus attempt to optimize their deployment in this paper. We first develop a new user equilibrium model to describe the equilibrium flow distribution across a road network where charging lanes are deployed. Drivers of electric vehicles, when traveling between their origins and destinations, are assumed to select routes and decide battery recharging plans to minimize their trip times while ensuring to complete their trips without running out of charge. The battery recharging plan will dictate which charging lane to use, how long to charge and at what speed to operate an electric vehicle. The speed will affect the amount of energy recharged as well as travel time. With the established user equilibrium conditions, we further formulate the deployment of charging lanes as a mathematical program with complementarity constraints. Both the network equilibrium and design models are solved by effective solution algorithms and demonstrated with numerical examples.
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