Abstract
The nonlinear behavior of the B-H relationship of a ferromagnetic
material gives rise to two different types of permeabilities: ‘total
permeability’ and ‘derivative permeability’. These are used in this
study to define three inductances of a current dependent inductor that
is built around a ferromagnetic core: ‘total inductance’, ‘derivative
inductance’ and ‘energy related inductance’. The latter is the correct
parameter to be used when calculating the energy stored in a current
dependent inductor. Based on these inductance definitions, state
equations for the various ‘inductances’ were developed and used to
implement SPICE compatible models by applying behavioral dependent
sources. The theoretical derivations of this work were validated by
simulation and experimentally