Approach of copper losses determination in planar windings

A new approach is presented in order to determine copper losses from measurements or simulations of planar inductors. Copper losses are modelled with a series resistance r (f) that depends on the frequency. Measured or simulated admittances of the inductors are used to determine the model parameters of the inductors. The resistance r (f) is determined in three frequency domains: (i) at very low frequencies (or DC); (ii) at low frequencies (capacitive couplings are negligible); (iii) at resonant frequencies, i.e. high frequencies. The presented approach is different as those encountered in literature and allows the series resistance from measured or simulated Sij parameters to be determined.