State-plane analysis of zero-current-switching resonant DC/DC power converters

The state-plane analysis for the buck, boost, buck/boost, and Cuk zero-current-switching resonant DC/DC power converters is presented. Simple visual criteria are introduced to determine whether the converter is operating in a mode producing voltage conversion. It is shown that the voltage conversion takes place within the converters if and only if both horizontal and vertical straight-line segments are present in the state-plane graph. The boundary of energy conversion is identified from the state plane by the evaporation of one or both straight-line segments. Formulas are found for the normalized switching frequency at this boundary that depend on the value of normalized switching voltage