In this work we illustrate the results regarding models of charging infrastructures for electric vehicles that adequately define and formalise their flexibility, control and response capabilities to be integrated into the smart grid. The report analyses various insights of the charging infrastructure, such as the components for an optimal investment starting from real data on electric charging events of the demo-cities. In particular, the economic and functional impact of the introduction of renewable energy sources and battery energy storage systems dedicated to shaving load peaks was assessed. In addition, we illustrated algorithms and models for describing the response of electric vehicle batteries and the charging infrastructure for optimal charging and discharging actions.