Example6 Torque Analysis of Outer Rotor Motor

General

  • Torque characteristics of an outer rotor motor for drone is analyzed when the electricity is applied.
    The model is a permanent magnet synchronous motor with magnets attached to the outer rotor.

  • The analysis is coupled with the external circuit.

  • The torque and the magnetic flux density are solved.
     

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

Analysis Conditions

Item

Setting

Solver

Magnetic Field Analysis [Luvens]

Analysis Space

2D

Analysis Type

Transient Analysis

Unit

mm

Options

Select External Circuit Coupling.

Select Rotating machinery.

 

[Conversion]

Model Thickness: 6×10^-3[m]

Select Convert the result to the whole model and output it.

 

The Rotating Machinery tab is set as follows.

Tab

Setting Item

Setting

Rotating Machinery

Rotational Movement

Select Constant Velocity

Number of Rotations: 7200[r/min]

Rotor’s Initial Rotation Position: 0[deg]

Number of Slide Mesh Divisions

Circumferential Division Angle: 1.0[deg]

Rotation per Step: 1[mesh]

Number of Slide Mesh Layers: 3

 

External circuit is as follows.

840[Hz] three-phase AC voltage is applied.

 

Set the Mesh Tab as follows.

Tab

Setting Item

Setting

Mesh

Meshing Setup

Automatically set the general mesh size: Deselect

General mesh size: 0.4[mm]

Ambient Air Creation

Select Create ambient air automatically

Ambient Air Scale: 1.2

 

The Transient Analysis tab is set up as follows.

The umber of steps is 180, circumferential division angle is 1.0[deg], and rotation per step is 1[mesh]. The rotation up to 180 degrees (=180*1.0*1) is analyzed.

Tab

Setting Item

Setting

Transient Analysis

Time step

Automatic

Table

Number

Calculation steps

Output steps

1

180

1

 

Graphical Objects

A stator core and coils are placed in the center. A rotor core and magnets are placed around them.

The motor has 14 poles.

This is a 2D model analysis.

“Ambient Air Creation” is selected.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

4/Sheet

Mag1

mag

6/Sheet

Mag1

mag

8/Sheet

Mag1

mag

10/Sheet

Mag1

mag

12/Sheet

Mag1

mag

14/Sheet

Mag1

mag

16/Sheet

Mag1

mag

5/Sheet

Mag2

mag

7/Sheet

Mag2

mag

9/Sheet

Mag2

mag

11/Sheet

Mag2

mag

13/Sheet

Mag2

mag

15/Sheet

Mag2

mag

17/Sheet

Mag2

mag

0/Sheet

Rotor

core

37/Sheet

Stator

core

40/Sheet

U1-

Cu

42/Sheet

U1-

Cu

51/Sheet

U1-

Cu

53/Sheet

U1-

Cu

39/Sheet

U1+

Cu

41/Sheet

U1+

Cu

43/Sheet

U1+

Cu

52/Sheet

U1+

Cu

44/Sheet

V1-

Cu

46/Sheet

V1-

Cu

55/Sheet

V1-

Cu

57/Sheet

V1-

Cu

45/Sheet

V1+

Cu

47/Sheet

V1+

Cu

54/Sheet

V1+

Cu

56/Sheet

V1+

Cu

48/Sheet

W1-

Cu

50/Sheet

W1-

Cu

59/Sheet

W1-

Cu

61/Sheet

W1-

Cu

38/Sheet

W1+

Cu

49/Sheet

W1+

Cu

58/Sheet

W1+

Cu

60/Sheet

W1+

Cu

 

The body attribute is set up as follows.

Body Attribute Name

Tab

Setting

Mag1

Direction

Direction Type: Centripetal direction

Outward

Stator/Rotor/Air

Rotor

Mag2

Direction

Direction Type: Centripetal direction

Inward

Stator/Rotor/Air

Rotor

Rotor

Stator/Rotor/Air

Rotor

Stator

Stator/Rotor/Air

Stator

U1-

Current

Waveform: External circuit coupling

Coil name on the circuit: U1

Turns: 35[Turns]

Direction: – Y direction

Stator/Rotor/Air

Stator

U1+

Current

Waveform: External circuit coupling

Coil name on the circuit: U1

Turns: 35[Turns]

Direction: +Y direction

Stator/Rotor/Air

Stator

V1-

Current

Waveform: External circuit coupling

Coil name on the circuit: V1

Turns: 35[Turns]

Direction: – Y Direction

Stator/Rotor/Air

Stator

V1+

Current

Waveform: External circuit coupling

Coil name on the circuit: V1

Turns: 35[Turns]

Direction: +Y Direction

Stator/Rotor/Air

Stator

W1-

Current

Waveform: External circuit coupling

Coil name on the circuit: W1

Turns: 35[Turns]

Direction: – Y Direction

Stator/Rotor/Air

Stator

W1+

Current

Waveform: External circuit coupling

Coil name on the circuit: W1

Turns: 35[Turns]

Direction: +Y direction

Stator/Rotor/Air

Stator

 

The material properties are set as follows.

Material Name

Tab

Properties

Cu

Conductivity

Conductivity Type: Conductor

Conductivity: 5.977×10^7[S/m]

mag

Permeability

Material Type: Permanent Magnet

Magnet

Magnetization Characteristic Type: Linear

Magnetization Strength: 1.25

Relative Permeability: 1.05

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

 

Results

The distribution of the magnetic flux density at the rotation angle of 0[deg] is shown below.

 

The diagram below shows time-torque characteristics.

Transient state becomes stable at around 1[ms].

About 0.15[N*m] of torque is obtained.