Example15 Propulsion by Linear Motor

General

  • The propulsion by a coreless linear motor is analyzed.

  • The propulsion at a specified constant speed is solved.

  • The propulsion and the magnetic flux density distribution are solved.

  • The analysis is coupled with the external circuit.

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

Analysis Condition

Item

Setting

Analysis Space

3D

Unit

mm

Solver

Magnetic Analysis [Luvens]

Analysis Type

Transient analysis

Analysis Options

Select External Circuit Coupling.

Select Translating Machinery.

 

The Translating Machinery tab is set as follows.

Tab

Setting Item

Setting

Translating Machinery

Translational Move

Moving speed: 1.32[m/s]

Number of Sliding Mesh Divisions

Division size in traveling direction: 1.5[mm]

Traveling quantity per step: 1[mesh]

Number of sliding mesh layers: 3

 

External circuit is as follows.

3-phase AC of 60Hz and 10A is applied.

 

Set the Mesh Tab as follows.

Tab

Setting Item

Setting

Mesh

Meshing Setup

Set the general mesh size automatically: Deselect

General Mesh size: 1.5[mm]

Automatic Ambient Air Creation

Select Create ambient air automatically

Ambient Air Scale: 2.0

 

The Transient Analysis tab is set up as follows.

The number of steps is 10, division size in the traveling direction is 1.5[mm], and traveling quantity per step is 1[mesh]. The mover’s travel up to 10*1.5*1=15[mm] is analyzed.

 

  • As the input power is specified by current, the coil current is in the steady state from the beginning. The torque is also in the steady state.

Tab

Setting Item

Setting

Transient analysis

Timestep

Automatic

Table

Number

Calculation steps

Output interval

1

10

1

 

Model

The movers of 3-phase coils are placed in the center. The stators of magnets and yokes are placed on the sides of movers.

 

Side View

 

One End of the Model

 

 

Body Attributes and Materials

Body Attribute Name

Material Name

MagN

000_Neodymium_magnet *

MagS

000_Neodymium_magnet *

Yoke

Yoke

U1

008_Cu *

V1

008_Cu *

W1

008_Cu *

* Available from the material DB

 

The body attribute is set up as follows.

Body Attribute Name

Tab

Setting

MagN

Direction

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

Stator/Rotor/Air

Stator

MagS

Direction

Vector: X=0, Y=0, Z=-1

Stator/Rotor/Air

Stator

Yoke

Stator/Rotor/Air

Stator

U1

Current

Waveform: External circuit coupling

Coil name on the circuit: FEM_Coil_1

Turns: 20[Turns]

Direction: Loop coil/Magnetic field direction

Magnetic field vector: 0, 0, 1

Stator/Rotor/Air

Mover

V1

Current

Waveform: External circuit coupling

Coil name on the circuit: FEM_Coil_2

Turns: 20[Turns]

Direction: Loop Coil/Magnetic Field Direction

Magnetic field vector: 0, 0, 1

Stator/Rotor/Air

Mover

W1

Current

Waveform: External circuit coupling

Coil name on the circuit: FEM_Coil_3

Turns: 20[Turns]

Direction: Loop Coil/Magnetic Field Direction

Magnetic field vector: 0, 0, 1

Stator/Rotor/Air

Mover

 

The material properties are set as follows.

Material Name

Tab

Properties

Yoke

Permeability

Material type: Soft magnetic material

Magnet

Relative Permeability 3000

Boundary Condition

None

Results

The distribution of the magnetic flux density at a travel distance of 15mm (10 calculation steps) is shown below.

The diagram below shows time-propulsion characteristics. It is output to [mover/ X component] of [Electromagnetic force [N]] in the result table.

About 11[N] of propulsion is obtained.