This paper introduces a new model depicting electric vehicles (EVs) mobility and the evolution of their Stateof-Charge (SoC) in urban traffic networks. The model couples the vehicles' mobility described by a set of dynamic equations over a graph capturing the Origin-Destination motion, with the energy consumption associated with the EVs mobility patterns. Additionally, power inputs from charging stations are included in the model. A model calibration method based on multi-source public data is also provided. Finally, several experiments are conducted through simulation to evaluate the appropriateness of the current charging station infrastructure under an increasing EVs penetration rate in the whole metropolitan area of Grenoble, France.