Electric Vehicles (EVs) will play a major role in meetings Europe’s need for clean and efficiency mobility. This work presents an exhaustive modeling of EV dynamics, powertrain and energy storage/conversion. The simulation model is useful for both the electrical component sizing at designed time and the on-board diagnostic to check component aging. The aim is to model the transient response of the system while preserving the simplicity and feasibility of simulation. The design of an EV requires, among others, the development and optimization of a complete electric powertrain system, including the longitudinal car, battery system components, power electronics, electric machine and control system. This thesis presents the modelling and implementation of an entire powertrain system of EVs to describe the EV dynamics in respect of mechanical and electrical system components. Mathematical models based on equations and equivalent circuits are developed and implemented in MATLAB-Simulink and further study for predicting the final vehicle driving performance is performed.