Example14 Analysis of Induction Motor with Specified Rotating Speed

General

A cage structure 3-phase induction motor is analyzed.
The magnetic field of coils of the stator generates the eddy current on the conductor of the rotor.
The magnetic field generated by the eddy current and the magnetic field on the stator create the torque which rotates the asynchronous motor.
The rotating speed is specified.
By changing the rotating speed, how the torque is changed can be analyzed.
Example 4 analyzes the same analysis model without specifying the rotating speed.
The torque and the magnetic flux density are solved.
Unless specified in the list below, the default conditions are applied.

Analysis Condition

Item	Setting
Analysis Space	2D
Thickness in Depth Direction	42[mm]
Unit	mm
Solver	Magnetic Analysis [Luvens]
Analysis Type	Transient Analysis
Analysis Options	Select External Circuit Coupling. Select Rotating machinery. [Partial Model (Symmetric Model) Setting] Select Partial Model. Division number: 2 [Conversion of external circuit I/O values] Select Convert Number of series: 1 Number of parallels: 2 Select Convert the result to the full model for output

The Rotating Machinery tab is set as follows.

Tab

Setting Item

Setting

Rotating Machinery

Rotational Movement

Select Constant Velocity

The Number of Rotations: 1267[r/min]

Rotor’s Initial Rotation Position: 0[deg]

Number of Sliding Mesh Divisions

Circumferential Division Angle: 0.5[deg]

Number of Sliding Mesh Layers: 3

External circuit is as follows.

50[Hz] 3-phase AC voltage 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: 2[mm]

Automatic Ambient Air Creation

Select Create ambient air automatically

Ambient Air Scale: 1.2

The Transient Analysis tab is set up as follows.

One second is divided into 800 steps.

Tab

Setting Item

Setting

Transient Analysis

Timestep

Automatic

Table

Number	Calculation steps	Output interval
1	800	1

Model

A rotor cage consisted of conductor and rotor core is placed in the center. A stator core and coils are placed around it.

This is a 2D model analysis. By utilizing the symmetry of the analysis model, it is made to be a half period symmetric model.

“Ambient Air Creation” is selected.

Small mesh size is (0.3mm) is applied to the gap.

Body Attributes and Materials

Body Number/Type	Body Attribute Name	Material Name
25/Sheet	Cage	Al
26/Sheet	Cage	Al
27/Sheet	Cage	Al
28/Sheet	Cage	Al
29/Sheet	Cage	Al
30/Sheet	Cage	Al
31/Sheet	Cage	Al
32/Sheet	Cage	Al
33/Sheet	Cage	Al
34/Sheet	Cage	Al
35/Sheet	Cage	Al
36/Sheet	Cage	Al
37/Sheet	Cage	Al
38/Sheet	Cage	Al
39/Sheet	Cage	Al
40/Sheet	Cage	Al
41/Sheet	Cage	Al
24/Sheet	Rotor	50A1300
65/Sheet	Stator	50A1300
67/Sheet	U1+	Cu
68/Sheet	U1+	Cu
69/Sheet	W1-	Cu
70/Sheet	W1-	Cu
71/Sheet	V1+	Cu
72/Sheet	V1+	Cu
73/Sheet	U1-	Cu
74/Sheet	U1-	Cu
75/Sheet	W1+	Cu
76/Sheet	W1+	Cu
77/Sheet	V1-	Cu
78/Sheet	V1-	Cu

The body attribute is set up as follows.

Body Attribute Name	Tab	Setting
Cage	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: 66[Turns] Direction: – Y direction
U1-	Stator/Rotor/Air	Stator
U1+	Current	Waveform: External circuit coupling Coil name on the circuit: U1 Turns: 66[Turns] Direction: +Y direction
U1+	Stator/Rotor/Air	Stator
V1-	Current	Waveform: External circuit coupling Coil name on the circuit: V1 Turns: 66[Turns] Direction: – Y direction
V1-	Stator/Rotor/Air	Stator
V1+	Current	Waveform: External circuit coupling Coil name on the circuit: V1 Turns: 66[Turns] Direction: +Y direction
V1+	Stator/Rotor/Air	Stator
W1-	Current	Waveform: External circuit coupling Coil name on the circuit: W1 Turns: 66[Turns] Direction: – Y direction
W1-	Stator/Rotor/Air	Stator
W1+	Current	Waveform: External circuit coupling Coil name on the circuit: W1 Turns: 66[Turns] Direction: +Y direction
W1+	Stator/Rotor/Air	Stator

The material properties are set as follows.

Material Name

Tab

Properties

Conductivity

Conductivity Type: Conductor

Conductivity: 1.02×107[S/m]

Conductivity

Conductivity Type: Conductor

Conductivity: 5.977×107[S/m]

50A1300

Permeability

Magnetization Characteristic Type: Select B-H curve

B-H Curve Table

Magnetic field [A/m]	Magnetic flux density [T]
0	0
20	0.028
30	0.035
35	0.038
40	0.04
45	0.042
50	0.044
60	0.058
70	0.07
80	0.085
90	0.11
100	0.135
120	0.215
140	0.335
160	0.48
200	0.86
240	1.12
300	1.29
400	1.431
500	1.491
600	1.531
700	1.559
800	1.576
900	1.581
1000	1.591
1300	1.617
1600	1.63
2200	1.658
3000	1.689
4000	1.725
5000	1.756
7000	1.819
10000	1.888
16000	1.975
22000	2.026
30000	2.078
40000	2.122
50000	2.163
70000	2.238
80000	2.271

Boundary Condition

Symmetric period boundary is set.

Boundary Condition Name/Topology	Tab	Boundary Condition Type	Setting
Symmetric	Symmetry/Continuity	Periodic	Rotation Period (1 period)

Results

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

The wave of torque is shown as follows. It is output to “Torque [N*m]” of the result table.

See other Magnetic Analysis (Transient Analysis) examples.