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Magnetostatic Analysis
Author: ElectromagneticWorks
Company: ElectromagneticWorks Inc.
1. Introduction
2. Model View
3. Materials
4. Coils Information
5. Force and Torque Information
6. Study Properties
7. Results Table
8. Magnetic Flux Density Results
9. Magnetic Field Intensity Results
10. Applied Current Density Results
11. Force Density Results
12. Temperature Results
13. Heat Flux Results
14. Appendix
1. Introduction
The example is composed of a brushless DC motor, analyzed under magnetostatic
conditions in EMS. The force and torque applied on the rotor are of interest. The
magnetic flux density is also obtained, coupled with a steady-state thermal
analysis.
2. Model View
Motor_Front View
Motor_Current View (Mesh)
Motor_Isometric View
3. Materials
Note: R.P. stands for Relative Permeability
Nbr
. Part Name
Material
Name
Permeability
Type
1 CL^Motor-1-Body 1 (Split1[1]) Copper Isotropic
2 CL^Motor-1-Body 2 (Split1[2]) Copper Isotropic
3 CL^Motor-10-Body 1 (Split1[1]) Copper Isotropic
4 CL^Motor-10-Body 2 (Split1[2]) Copper Isotropic
5 CL^Motor-11-Body 1 (Split1[1]) Copper Isotropic
6 CL^Motor-12-Body 1 (Split1[1]) Copper Isotropic
7 CL^Motor-12-Body 2 (Split1[2]) Copper Isotropic
8 CL^Motor-2-Body 1 (Split1[1]) Copper Isotropic
9 CL^Motor-2-Body 2 (Split1[2]) Copper Isotropic
10 CL^Motor-3-Body 1 (Split1[1]) Copper Isotropic
11 CL^Motor-3-Body 2 (Split1[2]) Copper Isotropic
12 CL^Motor-4-Body 1 (Split1[1]) Copper Isotropic
13 CL^Motor-4-Body 2 (Split1[2]) Copper Isotropic
14 CL^Motor-5-Body 1 (Split1[1]) Copper Isotropic
15 CL^Motor-5-Body 2 (Split1[2]) Copper Isotropic
16 CL^Motor-6-Body 1 (Split1[1]) Copper Isotropic
17 CL^Motor-6-Body 2 (Split1[2]) Copper Isotropic
18 CL^Motor-7-Body 1 (Split1[1]) Copper Isotropic
19 CL^Motor-7-Body 2 (Split1[2]) Copper Isotropic
20 CL^Motor-8-Body 1 (Split1[1]) Copper Isotropic
21 CL^Motor-8-Body 2 (Split1[2]) Copper Isotropic
22 CL^Motor-9-Body 1 (Split1[1]) Copper Isotropic
23 CL^Motor-9-Body 2 (Split1[2]) Copper Isotropic
24 Inner Air^Motor-1-Body 1
(Cavity1) Inner Air Isotropic
25 MG^Motor-1-Body 1 (Extrude1) S2818 Isotropic
26 MG^Motor-2-Body 1 (Extrude1) S2818 Isotropic
27 MG^Motor-3-Body 1 (Extrude1) S2818 Isotropic
28 MG^Motor-4-Body 1 (Extrude1) S2818 Isotropic
29 MG^Motor-5-Body 1 (Extrude1) S2818 Isotropic
30 MG^Motor-6-Body 1 (Extrude1) S2818 Isotropic
31 MG^Motor-7-Body 1 (Extrude1) S2818 Isotropic
32 MG^Motor-8-Body 1 (Extrude1) S2818 Isotropic
33 Outer Air^Motor-1-Body 1
(Cavity1) Air Isotropic
34 RTR^Motor-1-Body 1 (Extrude1) Mild Steel Isotropic
35 STR^Motor-1-Body 1 (Split
Line5) Mild Steel Isotropic
Thermal Loads
Nb
r. Name
Convection
Coefficient
(W/(m^2.K))
Ambient
Temperature
(Kelvin)
Select
ed
Faces
Selected
Compone
nts
1 Convectio
n - 1 1.000e+001 3.000e+002 261 None
4. Coils Information
Coils
Nb
r. Name
Nbr.Of
Turns
Magnitud
e Phase
Components &
Bodies
1 Wound Coil
- 1 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-1
2 Wound Coil
- 2 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-2
3 Wound Coil
- 3 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-3
4 Wound Coil
- 4 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-4
5 Wound Coil
- 5 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-5
6 Wound Coil
- 6 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-6
7 Wound Coil
- 7 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-7
8 Wound Coil
- 8 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-8
9 Wound Coil
- 9 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-9
10 Wound Coil
- 10 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-10
11 Wound Coil
- 11 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-11
12 Wound Coil
- 12 50
3.000000e+
000
0.0000e+00
0deg CL^Motor-12
5. Force and Torque Information
Nbr. Name Torque Center Components & Bodies
1 Virtual Work - 1 At origin
RTR^Motor-1
MG^Motor-1
MG^Motor-2
MG^Motor-3
MG^Motor-4
MG^Motor-5
MG^Motor-6
MG^Motor-7
MG^Motor-8
6. Study Properties
Mesh Information
Nbr.Of Nodes Nbr.Of Elements Element Size (m) Tolerance (m)
243511 1458469 0.060000 0.000100
Mesh Controls information
Nb
r. Name
Mesh
Size
Size
Unit
Components &
Bodies
Selected
Faces
1 MeshControl
- 1 1.000000 mm
MG^Motor-8
MG^Motor-7
MG^Motor-6
MG^Motor-5
MG^Motor-4
MG^Motor-3
MG^Motor-2
MG^Motor-1
2 MeshControl
- 2 7.000000 mm
RTR^Motor-1
3 MeshControl
- 3 1.200000 mm
CL^Motor-12
CL^Motor-7
CL^Motor-6
CL^Motor-5
CL^Motor-4
CL^Motor-2
CL^Motor-3
CL^Motor-11
CL^Motor-9
CL^Motor-10
CL^Motor-8
CL^Motor-1
4 MeshControl
- 4 5.000000 mm
STR^Motor-1
5 MeshControl
- 5 0.670000 mm
Inner Air^Motor-1
Solver information
Solver Type Nbr. Current Increments Compute Circuit Parameters
Direct Solver 1 Yes
7. Results Table
Force Results
Fx-axis (N) Fy-axis (N) Fz-axis (N)
Virtual Work - 1 1.022008e-001 2.649564e-001 -8.757858e-004
Torque Results
Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m)
Virtual Work - 1 6.908613e-004 7.748021e-004 -3.639906e-003
Inductance Results (H)
Coi
l
Na
me
Wo
und
Coil
- 1
Wo
und
Coil
- 2
Wo
und
Coil
- 3
Wo
und
Coil
- 4
Wo
und
Coil
- 5
Wo
und
Coil
- 6
Wo
und
Coil
- 7
Wo
und
Coil
- 8
Wo
und
Coil
- 9
Wo
und
Coil
- 10
Wo
und
Coil
- 11
Wo
und
Coil
- 12
Wo
und
Coil
- 1
1.64
6159
e-
004
-
5.01
5957
e-
005
-
4.58
6230
e-
006
-
3.43
0893
e-
006
-
3.13
2618
e-
006
-
3.02
7751
e-
006
-
2.95
4233
e-
006
-
3.02
4824
e-
006
-
3.17
6018
e-
006
-
3.47
0035
e-
006
-
4.56
6662
e-
006
-
5.02
1973
e-
005
Wo
und
Coil
- 2
-
5.01
5957
e-
005
1.66
8100
e-
004
-
5.12
0909
e-
005
-
4.54
6328
e-
006
-
3.48
3879
e-
006
-
3.19
1946
e-
006
-
3.02
0618
e-
006
-
2.99
3963
e-
006
-
3.04
9889
e-
006
-
3.17
0114
e-
006
-
3.49
3696
e-
006
-
4.57
6123
e-
006
Wo
und
Coil
- 3
-
4.58
6230
e-
006
-
5.12
0909
e-
005
1.68
9695
e-
004
-
5.07
5927
e-
005
-
4.64
5201
e-
006
-
3.54
4186
e-
006
-
3.17
4997
e-
006
-
3.05
6437
e-
006
-
3.02
1648
e-
006
-
3.05
8808
e-
006
-
3.19
0987
e-
006
-
3.50
7446
e-
006
Wo
und
Coil
- 4
-
3.43
0893
e-
006
-
4.54
6328
e-
006
-
5.07
5927
e-
005
1.64
9736
e-
004
-
4.99
7077
e-
005
-
4.64
5621
e-
006
-
3.45
9742
e-
006
-
3.15
0491
e-
006
-
3.02
6016
e-
006
-
2.97
2220
e-
006
-
3.00
6051
e-
006
-
3.13
1951
e-
006
Wo
und
Coil
- 5
-
3.13
2618
e-
006
-
3.48
3879
e-
006
-
4.64
5201
e-
006
-
4.99
7077
e-
005
1.65
4593
e-
004
-
5.09
2104
e-
005
-
4.52
6192
e-
006
-
3.47
5095
e-
006
-
3.17
1853
e-
006
-
3.02
9339
e-
006
-
2.97
3032
e-
006
-
3.01
2323
e-
006
Wo
und
Coil
- 6
-
3.02
7751
e-
006
-
3.19
1946
e-
006
-
3.54
4186
e-
006
-
4.64
5621
e-
006
-
5.09
2104
e-
005
1.68
7081
e-
004
-
5.07
9682
e-
005
-
4.60
9130
e-
006
-
3.53
0509
e-
006
-
3.20
0876
e-
006
-
3.04
8845
e-
006
-
2.99
9004
e-
006
Wo
und
Coil
- 7
-
2.95
4233
e-
006
-
3.02
0618
e-
006
-
3.17
4997
e-
006
-
3.45
9742
e-
006
-
4.52
6192
e-
006
-
5.07
9682
e-
005
1.65
8503
e-
004
-
5.07
5876
e-
005
-
4.57
8019
e-
006
-
3.50
4861
e-
006
-
3.15
7644
e-
006
-
3.01
8727
e-
006
Wo
und
-
3.02
-
2.99
-
3.05
-
3.15
-
3.47
-
4.60
-
5.07
1.68
5360
-
5.16
-
4.66
-
3.52
-
3.19
Coil
- 8
4824
e-
006
3963
e-
006
6437
e-
006
0491
e-
006
5095
e-
006
9130
e-
006
5876
e-
005
e-
004
0739
e-
005
4778
e-
006
2516
e-
006
3072
e-
006
Wo
und
Coil
- 9
-
3.17
6018
e-
006
-
3.04
9889
e-
006
-
3.02
1648
e-
006
-
3.02
6016
e-
006
-
3.17
1853
e-
006
-
3.53
0509
e-
006
-
4.57
8019
e-
006
-
5.16
0739
e-
005
1.69
8850
e-
004
-
5.16
8837
e-
005
-
4.62
1422
e-
006
-
3.52
9253
e-
006
Wo
und
Coil
- 10
-
3.47
0035
e-
006
-
3.17
0114
e-
006
-
3.05
8808
e-
006
-
2.97
2220
e-
006
-
3.02
9339
e-
006
-
3.20
0876
e-
006
-
3.50
4861
e-
006
-
4.66
4778
e-
006
-
5.16
8837
e-
005
1.68
2373
e-
004
-
5.07
4962
e-
005
-
4.61
0137
e-
006
Wo
und
Coil
- 11
-
4.56
6662
e-
006
-
3.49
3696
e-
006
-
3.19
0987
e-
006
-
3.00
6051
e-
006
-
2.97
3032
e-
006
-
3.04
8845
e-
006
-
3.15
7644
e-
006
-
3.52
2516
e-
006
-
4.62
1422
e-
006
-
5.07
4962
e-
005
1.67
0686
e-
004
-
5.07
4924
e-
005
Wo
und
Coil
- 12
-
5.02
1973
e-
005
-
4.57
6123
e-
006
-
3.50
7446
e-
006
-
3.13
1951
e-
006
-
3.01
2323
e-
006
-
2.99
9004
e-
006
-
3.01
8727
e-
006
-
3.19
3072
e-
006
-
3.52
9253
e-
006
-
4.61
0137
e-
006
-
5.07
4924
e-
005
1.66
5434
e-
004
Flux Linkage Results
Coil Name Flux Linkage (Wb)
Wound Coil - 1 9.860191e-005
Wound Coil - 2 1.017444e-004
Wound Coil - 3 1.056457e-004
Wound Coil - 4 9.862274e-005
Wound Coil - 5 9.935385e-005
Wound Coil - 6 1.055771e-004
Wound Coil - 7 9.869905e-005
Wound Coil - 8 1.034386e-004
Wound Coil - 9 1.046539e-004
Wound Coil - 10 1.023545e-004
Wound Coil - 11 1.019667e-004
Wound Coil - 12 1.019893e-004
Energy Results
Energy (J) Co-Energy (J)
9.952167e-001 9.952167e-001
8. Magnetic Flux Density Results
Magnetic Flux Density - 1
Magnetic Flux Density - 2
2D plot
Magnetic Flux Density - 3
Magnetic Flux Density - 4
9. Magnetic Field Intensity Results
Magnetic Field Intensity - 1
10. Applied Current Density Results
Applied Current Density - 1
Applied Current Density - 2
11. Force Density Results
Force Distribution - 1
12. Temperature Results
Temperature - 1
13. Heat Flux Results
Heat Flux - 1
14. Appendix
Material Name: Copper
Permeability Type: Isotropic
Note: R.P. stands for Relative Permeability
R.P. Permanent Magnet
Thermal Conductivity
(W/m.K)
1.000e+000 No 4.010e+002
Material Name: Inner Air
Permeability Type: Isotropic
Note: R.P. stands for Relative Permeability
R.P. Permanent Magnet
Thermal Conductivity
(W/m.K)
1.000e+000 No 1.000e+000
Material Name: S2818
Permeability Type: Isotropic
Note: R.P. stands for Relative Permeability
R.P. Permanent Magnet Coercivity
Thermal Conductivity
(W/m.K)
1.039e+000 Yes 8.196e+005 1.330e+001
Material Name: Air
Permeability Type: Isotropic
Note: R.P. stands for Relative Permeability
R.P. Permanent Magnet
Thermal Conductivity
(W/m.K)
1.000e+000 No 2.400e-002
Material Name: Mild Steel
Permeability Type: Isotropic
Note: R.P. stands for Relative Permeability
R.P. Permanent Magnet
Thermal Conductivity
(W/m.K)
2.000e+003 No 2.000e+001
