State-plane approach for the analysis of half-bridge parallel resonant converters

Generalised state-plane analysis for a half-bridge parallel resonant converter (PRC) operating in continuous conduction mode is presented. It is shown that a PRC circuit of any order can be analysed in terms of simple two-dimensional state-plane diagrams, without having to use any sinusoidal approximation. The approach presented makes use of the state-variable transformation technique previously used for the analysis of second- and third-order resonant converters. This method is applied to a specific example of a sixth-order parallel resonant converter operated in the continuous conduction mode.