PEEC Modeling and Model Order Reduction of Magnetically Enhanced Planar Inductive Device

An extension of the partial element equivalent circuit (PEEC) model for lossy magnetic medium in frequency domain is developed and verified with a magnetically enhanced planar inductive device in this paper. The magnetic material cell is firstly represented using a distribution of equivalent conductive current source, polarized current source, magnetized current source and polarized charge source according to volume equivalence principle. Then the external port impedance matrix formula of a PEEC network is derived. In order to simplify the original complex PEEC network, a model order reduction method based on generalized eigenvalue theory is adopted. A 3-D electromagnetic PEEC model of a magnetically enhanced planar inductor are set up and tested as an example. A good agreement between the PEEC simulation and measurements is presented up to 200 MHz.