Analytical Derivation of Switching-pattern Distribution for Class-E Amplifier Using Bifurcation Theory

摘要

This paper presents analytical switching-pattern distributions for the class-E amplifier. For obtaining the switching-pattern distributions, the exact waveform equations of currents and voltages with the initial values for the steady state are derived. The switching patterns are changed via border-collision bifurcation or grazing bifurcation. Therefore, the switching-pattern distribution map can be obtained for wide parameter region by solving the bifurcation conditions with the analytical steady-state waveform expressions and following the bifurcation curves. By carrying out circuit experiments, we can confirm the validity of the distribution map.