Multi-frequency model of a single switch ZVS class E inverter

This paper presents a novel dynamic model of a single switch resonant inverter. Both transient and steady state behavior of main variables are derived using a multi-frequency average modeling method. The analysis of the boundary conditions reveals that, under some approximations, the performance of the generalized averaged model is close to that of the “exact” or topological one. Contrary to other Class E inverter models, based on input-output behavioral black-box approach, the multi-frequency average modeling technique leads to a large-signal knowledge-based model. The main advantage of this type of model is that it is possible to make use of a wide set of analysis and control design tools like distortion analysis in power amplifiers, advanced control techniques in high frequency resonant inverters and dynamic-oriented novel design methodologies. Thanks to this model a predictive direct control of the transient trajectory could be achieved, leading to a smooth evolution from the initial steady-state operating point to the new desired state.