Example5 Power Generation of IMP Generator

General

  • Power generation of IPM generator is analyzed.
    The power is generated in the coils of the stator by the rotor’s rotation.
    The model is a permanent magnet synchronous motor with magnets built in the rotor.

  • The current generated by the rotor’s rotation is calculated.

  • The analysis is coupled with the external circuit.

  • The current and the magnetic flux density are solved.
     

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

Analysis Conditions

Item

Settings

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: 30×10^-3[m]

Select Partial Model.

Number of Divisions of the Whole Model: 2

Circuit Configuration Number of Series: 1

Circuit Configuration Number of parallels: 2

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

 

The Rotating Machinery tab is set as follows.

Tab

Setting Item

Settings

Rotating Machinery

Rotational Movement

Select Constant Velocity

Number of Rotations: 3000[r/min]

Rotor’s Initial Rotation Position: 0[deg]

Number of Slide Mesh Divisions

Circumferential Division Angle: 1.0[deg]

Rotation per Step: 3[mesh]

Number of Slide Mesh Layers: 3

 

External circuit is as follows.

[R1] is a resistor to detect the generated power. It is placed where a battery is supposed to be placed.

Its value is set to be minute (0.001[Ohm]) for battery’s internal resistance.

 

Set the Mesh Tab as follows.

Tab

Setting Item

Settings

Mesh

Meshing Setup

Automatically set the general mesh size: Deselect

General mesh size: 1[mm]

Ambient Air Creation

Select Create ambient air automatically

Ambient Air Scale: 1.25

 

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 3[mesh]. The rotation up to 540 degrees (=180*1.0*3) is analyzed.

Tab

Setting Item

Settings

Transient Analysis

Time step

Automatic

Table

Number

Calculation steps

Output steps

1

180

1

 

Model

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

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

Half period rotation boundary (symmetry) is set.

“Ambient Air Creation” is selected.

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

6/Sheet

Mag1

mag

7/Sheet

Mag2

mag

5/Sheet

Rotor

core

20/Sheet

Stator

core

22/Sheet

U1+

Cu

21/Sheet

W1-

Cu

25/Sheet

V1+

Cu

23/Sheet

U1-

Cu

26/Sheet

W1+

Cu

24/Sheet

V1-

Cu

 

The body attribute is set up as follows.

Body Attribute Name

Tab

Setting

Mag1

Direction

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

Stator/Rotor/Air

Rotor

Mag2

Direction

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

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: 15[Turns]

Direction: – Y Direction

Stator/Rotor/Air

Stator

U1+

Current

Waveform: External Circuit Coupling

Coil name on the circuit: U1

Turns: 15[Turns]

Direction: +Y Direction

Stator/Rotor/Air

Stator

V1-

Current

Waveform: External Circuit Coupling

Coil name on the circuit: V1

Turns: 15[Turns]

Direction: – Y Direction

Stator/Rotor/Air

Stator

V1+

Current

Waveform: External Circuit Coupling

Coil name on the circuit: V1

Turns: 15[Turns]

Direction: +Y Direction

Stator/Rotor/Air

Stator

W1-

Current

Waveform: External Circuit Coupling

Coil name on the circuit: W1

Turns: 15[Turns]

Direction: – Y Direction

Stator/Rotor/Air

Stator

W1+

Current

Waveform: External Circuit Coupling

Coil name on the circuit: W1

Turns: 15[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

80000

2.15

 

Boundary Conditions

One period symmetric boundary is set.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Symmetric

Symmetry/Continuity

Periodic

Rotation Period (1 period)

Results

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

 

 

In the result table, the generated current is output as the current of circuit component of resistor, which is for detecting the generated power.

 

The diagram below is time-generated current characteristic.

The generated power is about 75[A] on average from the current in the steady state.