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Example26 Permeance

General

  • The permeance of a magnet is calculated.
     

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

 

 

Analysis Conditions

Item

Settings

Solvers

Magnetic Field Analysis [Gauss]

Analysis Space

3D

Analysis Type

Static analysis

Model unit

mm

Options

N/A

Model

The permeance of a spherical magnet is calculated.

The magnetizing direction of the magnets is +Z by default.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

1/Solid

mag

mag

* Available from the Material DB

 

The material properties are set up as follows:

Material Name

Tab

Properties

mag

Permeability

Material Type: Permanent Magnet

Magnet

Magnetization Strength: 1.0

Boundary Conditions

Open boundary is set for the outer boundary condition.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Outer Boundary Condition

Electric

Open boundary

 

Results

Permeance coefficient is given by

 

Pc = B/u0H

 

where B is the magnetic flux density [T], H is the magnetic field [A/m] and u0 is the permeability of vacuum, 4πx10-7.

Pc of a particular point in magnet can be calculated from B and H at that point..

 

  • The distribution of permeance can be viewed with contour diagram.
    See [User-Defined Field] for the detail.
     

It is constant in case of spheroids.

B and H at a particular point can be obtained as follows.

Calculation of Permeance Coefficient

Select [Magnetic flux density] at Field in the Display group on the [Results] tab.

 

 

Click [Results at Specified Coordinates] .

Enter the coordinates of the point. For example, enter (0, 0, 0).

 

 

Click the Calculate button. [Magnetic flux density] will be calculated and displayed on the screen.

 

 

Then, change the Field from [Magnetic flux density] to [Magnetic field].

 

Calculate [Magnetic field] in the same manner.

 

 

The permeance coefficient can be calculated from their z components.

 

Pc = 6.666876e-001 / 2.652416e+005 / u0 = 2.000188

 

It is very close to the theoretical value of 2.