Effect of switch duty ratio on the performance of class E amplifiers and frequency multipliers

Bifurcation analysis of the class-E inverter for switching-pattern derivations

“…1)-(A. 12) in [2]. Additionally, waveform equations of the switch ON and OFF states are connected by…”

“…This is because the transition conditions are defined on the steady-state waveforms. This letter uses the analytical steadystate waveform equations following the analysis process presented in [2] and [7] for low computation cost. The proposed method can be applied to the switching-pattern distribution derivations of the class-E inverter at any Q.…”

“…Therefore, it is possible to illustrate switching-pattern distribution maps by following the bifurcationdiagram derivation algorithm. Figures 1 (a) and (c) show a circuit topology and example waveforms of the class-E inverter [1,2,3,4,5,6], respectively. In Fig.…”

“…The switching-mode inverters [1,2,3,4,5,6,7] is expected to be useful for many applications, e.g., switching-mode resonant dc-power supplies [3], resonant inverter [4], and radio transmitters [5]. The class-E inverter [1,2,3,4,5,6] is one of the high-frequency resonant inverters.…”

“…The class-E inverter [1,2,3,4,5,6] is one of the high-frequency resonant inverters. Since the introduction of the class-E inverter, many analytical descriptions of this circuit have appeared [1,2,3,4,5,6]. Most of these papers focused on the class-E inverter satisfying the class-E zero-voltage switching and the zero-derivative switching (ZVS/ZDS) conditions, which are called the "nominal conditions".…”