Detailed continuous and discrete–time models and experimental validation to design a power charging station for e-bike clever mobility

In this paper, a detailed model of a RIPT system, to design and control a power charging station for e-bike clever mobility, is proposed. Specifically, it is provided a detailed mathematical nonlinear model of the system composed of an oscillator transformer and a bridge with characteristics of the ideal and real diodes, valid for any behavior of the supply voltage. This model is used to both theoretically and via simulation analyze the RIPT system powered with square wave voltage for different values of the duty-cycle, frequency and of the parameters of the battery. Moreover, it is proposed a discrete–time detailed model and the related simulator to design and realize a simple and robust discrete–time control system, which allows to charge the battery with a fixed behavior of the current. The proposed model has been validated with significant experimental tests.