This thesis aims at modelling an On Board Charger for an electric vehicle following the Model Based Design. This method allows to address complex problems, while making use of system models throughout the design, by means of their simulations it leads to a rapid prototyping, software testing and verification. The aforementioned task saw the realization and simulation of more than one system model, based on the provided requirements by Teoresi. The latter ones in turn were designed following the customer requests to implement a Charging Process Management solution. MATLAB and Simulink were used throughout the whole project, moreover, within each step of the Model Based Design workflow, it was made use of additional tools of the MATLAB environment.