Engee documentation

Permanent Magnet

A permanent magnet that passively generates a magnetic field.

blockType: AcausalFoundation.Magnetic.Elements.PermanentMagnet

Path in the library:

/Physical Modeling/Fundamental/Magnetic/Elements/Permanent Magnet

Description

Block Permanent Magnet simulates a magnet that passively generates a magnetic field. Use this unit to simulate a magnet that does not magnetize or demagnetize. The magnetic field of a permanent magnet has a magnetic induction that increases linearly with increasing strength of the external magnetic field.

Block Permanent Magnet equivalent to blocks Magnetic Flux Sensor and Reluctance, connected in parallel or in series to the MMF source and gearbox units.

Use the block Permanent Magnet to parameterize the magnet based on the manufacturer’s specifications for residual magnetic induction, magnetic permeability or coercive force.

The equations

If you expose the block Permanent Magnet when exposed to an external magnetic field, the unit approximates magnetic induction the resulting magnetic field using one of these linear relationships:

,

,

,

where

  • – this is the flux density of the magnet after removing the external magnetic field, corresponds to the parameter Permanent flux density of magnet;

  • – this is the relative magnetic permeability of the material, corresponds to the parameter Relative magnetic permeability of material;

  • – this is the magnetic permeability in a vacuum;

  • – this is the strength of the external magnetic field;

  • – this is the coercive force of a magnet, corresponding to the Coherence of magnet parameter.

Specify which parameters the block uses to determine the linear equation using the Permanent field parametrization parameter.

The linear relationship is valid only when the magnet is not magnetized or demagnetized. The unit operates in the second quadrant of the magnetization curve :

Magnetic flux passing through a magnet is defined as:

,

where

  • – the Cross-sectional area parameter.

The magnetomotive force (MMF) in the block is defined as:

,

where

  • – this is the Length of magnet parameter.

The MMF value in the block is defined as:

,

where

  • and – the north and south terminals of the permanent magnet, respectively. The flow is positive when it passes through the device from the north to the south terminal.

Ports

Non-directional

N — the north pole of the magnet
Magnetism

The terminal corresponding to the north pole of the magnet.

S — the south pole of the magnet
Magnetism

The terminal corresponding to the south pole of the magnet.

Parameters

Main

Cross-sectional area — the cross-sectional area of the magnet
25 mm^2 (default) | positive scalar

The cross-sectional area of the magnet.

Cross-sectional area unit — unit of measurement of the cross-sectional area of the magnet
mm^2 (default) | m^2 | cm^2 | ft^2 | in^2 | km^2 | mi^2 | um^2 | yd^2

The unit of measurement of the cross-sectional area of a magnet.

Length of magnet — length of the magnet
0.02 m (default) | positive scalar

The length of the magnet.

Length of magnet unit — the unit of measurement of the length of the magnet
m (default) | cm | ft | in | km | mi | mm | um |yd

The unit of measurement for the length of the magnet.

Permanent field parameterization — method of parameterization of the residual field
Permanent flux density and relative permeability (default) | Remanent flux density and coercivity | Relative permeability and coercivity

The method of parameterization of linear communication .

Relative magnetic permeability of material — relative magnetic permeability of
1.05 (default) | positive scalar

The relative magnetic permeability of the material.

Dependencies

To enable this parameter, set the Permanent field parameterization parameter to Remanent flux density and relative permeability or Relative permeability and coercivity.

Residual flux density of magnet — residual flux density
1.2 T (default) | positive scalar

The magnetic flux density after removing the external magnetic field.

Dependencies

To enable this parameter, set the Permanent field parameterization parameter to Remanent flux density and relative permeability or Remanent flux density and coercivity.

Residual flux density of magnet unit — unit of measurement of residual flux density
T (default) | G

The unit of measurement of residual flow density.

Coherence of magnet — coercive force of magnetarass:q[<br>]1.2 / 1.05 / (4*pi*1e-7) A/m (default) | positive scalar

The coercive force of a magnet.

Dependencies

To enable this parameter, set the Permanent field parameterization parameter to Remanent flux density and coercivity or Relative permeability and coercivity.

Coherence of magnet unit — the unit of measurement of the coercive force of a magnet
A/m (default)

The unit of measurement of the coercive force of a magnet.

Flux — magnetic flux
O Wb (default) | positive scalar

Magnetic flux.

Flux unit — the unit of measurement of magnetic flux
Wb (default) | N*m/A | mN*m/A

The unit of measurement of the magnetic flux.

MMF is the magnetomotive force (MMF) at the magnetic poles of
O Wb (default) | positive scalar

The magnetomotive force at the poles of a magnet.

MMF unit is a unit of measurement of the magnetomotive force (MMF)
A (default) | MA | kA | mA | nA | pA | uA

The unit of measurement is MMF at the poles of the magnet.