Efficient calculation of winding-loss resistance matrices for magnetic components

There are a number of different analytical and numerical methods for calculating the winding loss of magnetic components. Analytical methods such as Dowell's method and Bessel-function methods require assumptions which severely reduce their accuracy for designs with 2-D field geometries such as those present in gapped transformers and inductors. While numerical methods such as finite-element-analysis (FEA) are capable of calculating loss to an arbitrary level of accuracy, they must model every individual conductor which drastically reduces their speed for designs with high strand counts. In this paper we present a new method which uses static field simulations in conjunction with semi-empirical expressions for winding loss in order to generate a frequency-dependent winding resistance matrix which can then be used in simple calculations of loss for arbitrary waveforms through the use of Fourier analysis.