Association of electromagnetic methods to model printed circuit board in power electronic systems

The aim of this paper is to model the printed connections in static power converters. An analytical technique, based on the transmission line theory has been proposed previously (Labarre et al., Eur. Phys. J. AP 3, 169 (1998)). This paper shows that this modeling technique, named the thin wire method (TWM) is well adapted to predict the behaviour of various configuration of printed circuit board with a ground plane: isolated microstrip lines exhibiting a constant or not width, parallel or non-parallel lines of any length. New analytical formulas are proposed in any layout configuration. However, the total circuit modeling needs to combine the features of different electromagnetic models: MTL, PEEC, CTL with a numerical technique: the two dimensional transmission line matrix method (TLM2D)