Example19 Inductance of Nonlinear Material (B-H Curve)

General

  • Inductance of a nonlinear material (permeability is defined with B-H curve) is solved.
     

  • The vectors of the magnetic field and the magnetic flux density are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

Analysis Conditions

Item

Settings

Solvers

Magnetic Field Analysis [Gauss]

Analysis Type

Static analysis

Options

N/A

Model

A loop coil (coil) and a magnetic core (core) with gap are placed.

As the magnetic field concentrates in the gap of the magnetic core, small mesh size is applied (0.2mm).

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

9/Solid

Coil

008_Cu *

8/Solid

Core

Core

* Available from the Material DB

 

Material property of the core is defined with B-H curve table.

  • If the magnetization characteristic is defined by B-H curve or M-H curve, calculation is nonlinear. Nonlinear calculation may not converge.
    In such case, refer to “If the Nonlinear Calculation (B-H Curve) Does Not Converge “

Material Name

Tab

Settings

Core

Permeability

Magnetization Characteristic Type: Select B-H curve

B-H Curve Table

Magnetic Field [A/m]

Magnetic Flux Density [T]

0

0

58

0.42

90

0.8

180

1.19

380

1.37

1100

1.48

2000

1.55

3000

1.608

11000

1.81

20000

1.91

80000

2.15

Press the Graph button. The following graph will show up.

 

Body attribute is set up as follows to apply current to the loop coil.

Body Attribute Name

Tab

Settings

Coil

Current

Waveform: Constant

Current: 1[A]

Turns: 1[Turns]

Direction: Loop Coil/Magnetic Field Direction

Magnetic Field Vector: X=0, Y=0, Z=1

Boundary Conditions

No setting.

Results

To see the results of inductance calculation, go to the [Results] tab

 

 

 and click [Table] .

 

 

 

The vectors of the magnetic flux density are shown below.

 

The section at XZ plane.