Steady State AC Magnetic face (3D) / line (2D) region

Introduction

The face (in 3D) / line (in 2D) regions are:

  • either material regions:

    used to model thin regions in the study domain

  • or non-material regions:

    used to impose boundary conditions (BC) inside or on the frontiers of the study domain

Material regions (thin regions)

Thin regions enable the modeling of regions of slight thickness (cracks, air-gap, current sheets, etc.).

The thin regions are described in the same way as the massive regions; with in addition the thickness of the region

The following thin region types are available for a 2D and 3D applications:

  • Air-gap (= Air or vacuum) / in 2D and 3D
  • Magnetic1 / in 3D
  • Coil conductor / in 2D
  • Solid conductor2 / in 2D and 3D
Note: 1 In 3D, the direction of the H and B fields for a magnetic region is selected by the user, as indicated in the table below.
Thin region Direction of fields H and B
no restriction quasi normal quasi tangential
magnetic

soft material

with: μ2 μ1

soft material

with: μ2 << μ1

soft material

with: μ2 >> μ1

Note: 2 In 3D, for conducting regions with hyperbolic current density through the thickness, refer to section Thin conducting regions.

Non-material regions

Non-material regions enable to impose the boundaries conditions (BC).

A region… is a BC that enables one to impose… It is defined by…
Normal magnetic field

a normal magnetic field

(a tangential electric field)

(predefined)
Tangential magnetic field

a tangential magnetic field

(a normal electric field)

(predefined)
… on the faces/lines that form the region