Abstract
A mathematical model is derived for the parallel resonant converter (PRC) in which a simple comparator circuit applied to the inductor current is used to establish stable oscillations at the resonant frequency in cases of high Q. Second order differential equations are solved to construct a piecewise phase-plane trajectory explaining the generation of a stable limit cycle and predicting its amplitude and period. The self-oscillating mechanism is explored in other resonant converters and verified by simulation. In all cases, switching between the two circuit configurations of the converter is produced by the change of the input inductor current sign. Measurements in a 100 W PRC prototype oscillating around 500 kHz are in good agreement with the theoretical predictions.
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