Augmented Quasi-Static Partial Element Equivalent Circuit Models for Transient Analysis of Lossy and Dispersive Magnetic Materials

Abstract

This paper presents a novel 3-D time-domain formulation of the partial element equivalent circuit (PEEC) method to model dispersive and lossy linear magnetic materials under the quasi-static hypothesis. The frequency-dependent magnetic permeability is incorporated through a rational approximation of the function appearing in the constitutive relation of material, leading to ordinary differential equations in addition to those derived by applying Kirchhoff voltage and current laws to the PEEC equivalent circuit. The augmented resulting model preserves the circuit interpretation of the standard PEEC models and, thus, can be easily integrated in SPICE-like circuit solvers. Numerical results are presented showing that the proposed time-domain formulation outperforms the frequency-domain counterpart although it requires a larger number of unknowns.