PEEC Solution of EM-Circuit Problems for Combined Metalic and Dielectric Structures Based on the Augmented Integral Equations

This paper presents a full-wave triangular mesh based partial element equivalent circuit (PEEC) approach in the frequency domain for combined metal-dielectric structures based on A-PMCHWT and E-PMCHWT formulations of the augmented electric field integral equation (A-EFIE). The method avoids so called low frequency breakdown of EFIE and takes into account phase shifts of fields radiated by partial elements. 3D structures are described with equivalent circuit that can be combined with circuit or S-parameter models of electronic components. Validation of the proposed solution is done for toroidal choke in common and differential modes via comparison of obtained results with measurements and with standard MoM in the frequency range from 1Hz to 100MHz.

I. Introduction

Modeling of modern electrical devices is often performed using combination of electromagnetic and circuit (EM-CKT) formulations. For the simulation of this type of problems, the Partial Element Equivalent Circuit (PEEC) method [1], [2], [3] stands out from various numerical methods (MoM, FEM, FIT, FDTD, etc.). It can integrate the models of 3D objects and circuit devices into a common equivalent circuit and solve appropriate equations using spice-like solvers [4]. Very often the problems contain complex metal-dielectric components, ferrites and materials with combined magnetic and resistive properties, which complicate EM & EMC analysis.