Dynamic Model of Class-E Inverter With Multifrequency Averaged Analysis

This paper presents a novel dynamic model of a single-switch class-E inverter. Both the transient and steady-state behaviors of main variables are derived using a multifrequency averaged (MFA) 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. A detailed analysis of the errors and limitations of the model has been derived. Contrary to other class-E inverter models, based on the input–output behavioral black-box approach, the MFA modeling technique leads to a large-signal knowledge-based model. The advantage of this type of model is that it is applicable to a wide set of analysis and control design tools. The proposed model is verified by comparing the MFA, state-space, and experimental results, showing good agreement for the dynamic behavior of the inverter under supply voltage modulation and also for the frequency and phase modulation of the input control signal.