Behavioral Modeling of Complex Magnetic Permeability With High-Order Debye Model and Equivalent Circuits

Abstract

In this paper, a systematic procedure to derive equivalent circuit networks accurately reproducing the frequency response of the input impedance of magnetic cores in a broad frequency range is presented. The proposed procedure foresees to represent the effective complex permeability spectra of a magnetic core (i.e., the permeability resulting from the superposition of intrinsic material properties and effects due to structural features of the core) by a high-order Debye series expansion, which is subsequently synthesized into suitable Foster and Cauer networks. Such networks can be implemented in any circuit simulator, and are particularly favorable for timedomain transient simulation since they can be easily combined with hysteresis models. Two nanocrystalline tape-wound cores and a commercial bulk current injection probe are used as test cases to prove the effectiveness of the proposed method both in terms of accuracy and ease of implementation.

Behavioral Modeling of an Off-the-Shelf Damped Sinusoidal Transient Generator

“…To this end, a hand-made inductive coupler is manufactured by winding a thin copper tape, equipped with an SMA connector, around a nanocrystalline magnetic core. Such a probe was experimentally characterized, and modeled in [9], where equivalent ladder networks were derived to represent its frequency response in the linear region. The probe is mounted onto the center conductor of a commercial calibration jig, [10], whose ports are connected to a 50 Ω termination on one side [right-side in Fig.…”

“…6, where the passive model of the DS generator is shown as an example. The parameters of the ladder network representing the magnetic core, here omitted for simplicity, can be found in [9].…”

“…For measurement, a higher voltage was set for the DS sources at 1 and 10 MHz, whereas for the 100 kHz source the selected level was lower to avoid saturation of the magnetic core. To predict the voltage induced at the monitored termination of the jig, a Simulink-based model was exploited which combines the proposed models of the DS generator with the probe and jig models in [9] and [10], respectively. Predictions and measurements of the induced voltage are compared in Fig.…”

EMC Component Modeling and System-Level Simulations of Power Converters: AC Motor Drives

“…Behavioral choke models can be further broadly grouped into two subcategories [31,54]. The first subcategory is behavioral models with circuit topologies that reflect the physical effects inside the choke (e.g., magnetic characteristics of the core).…”

“…In behavioral models with circuit topologies reflecting the physical behavior of the core, the frequency-dependent core permeability (caused by eddy currents inside the core) is usually modeled using Cauer of Foster ladder networks, whose parameters are fitted to the measured complex permeability using different methods [54,[66][67][68][69][70][71][72][73].…”