Vector Hysteresis Modeling

Application ID: 20671

This tutorial is a benchmark model that reproduces the Testing Electromagnetic Analysis Method (TEAM) Problem 32, which evaluates numerical methods for the simulation of anisotropic magnetic hysteresis. A hysteretic three-limbed laminated iron core is subject to a time-varying magnetic field generated by two coils. The Jiles-Atherton material model (available in the Magnetic Fields interface) is used to simulate the response of the material, reproducing published experimental and numerical data.

The coils are excited by AC voltage sources that are phase-shifted by 90 degrees with respect to each other, creating a magnetic field that rotates in some regions of the core. The applied magnetic field is mainly oriented in the xy-plane, while the material is anisotropic and so reacts differently to fields applied along the x- or y-direction.

A vector hysteresis model is necessary to accurately simulate the time-dependent field, and the hysteretic behavior is displayed by plotting the magnetic flux density as a function of the magnetic field during one AC cycle (corresponding to one hysteresis loop). A direct solver (PARDISO) is used instead of the default iterative solver where the Gauge Fixing for A-Field feature is applied.

This model example illustrates applications of this type that would nominally be built using the following products: