Analytical modeling of losses for high frequency planar LCT components

Passive components occupy a major part of the volume of power electronic converters. Therefore to increase the converter power density, designers have to carefully reduce the size of these components. The integrated planar inductor-capacitor-transformer, already known as LCT component can achieve this goal. Volume optimization of this component requires an accurate analytical modeling of overall losses (including magnetic, copper and the dielectric parts). However, common methods could not be used for high frequency planar components. In the first part of this paper, we introduce the principle and applications of LCT components. In the second part, we present an analytical electromagnetic and electrostatic modeling for high frequency planar components - the lumped elements equivalent circuit method. This method has been developed for components having simple geometries. The efficient application of this method to the complex geometry of LCT is showed in the third part.