Wide frequency range lumped element equivalent circuit for HF planar transformer

Lumped element equivalent circuits that accurately represent the electrical behavior of H.F. n- winding transformers are now available. These circuits suit for time domain simulation but evaluation of their parameters relies on measurements. In order to avoid prototype manufacturing, engineers need to deduce same parameters from geometrical and physical data and, to carry out optimization, they prefer analytical approach to fem one. This paper shows how to do this for planar transformers which have simple geometry. Comparison of results with experimental data is given and analyzed.