Magnetostatic Analysis of Solenoid
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1 Magnetostatic Analysis of Solenoid 1. Introduction 2. Model View 3. Materials 4. Load & Restraint Information 5. Coils Information 6. Force and Torque Information 7. Study Properties 8. Results Table 9. Magnetic Flux Density Results 10. Magnetic Field Intensity Results 11. Applied Current Density Results 12. Force Density Results 13. Temperature Results 14. Temperature Gradient Results 15. Heat Flux Results 16. Appendix Author: EMWorks Company: ElectroMagnetic Works Inc Date: January 25, Introduction This is a Magnetostatic analysis of a solenoid. The study was coupled with motion to investigate the effect of the current induced electromagnetic force on the motion of the plunger. It was also coupled with thermal analysis to study the effect of Joule heating
2 2. Model View SOLENOID Current View (Mesh)
3 SOLENOID Isometric View
4 3. Materials Note: R.P. stands for Relative Permeability Nbr. Part Name Material Name Permeability Type 1 air1^solenoid-1-body 1 (Cavity1) Air Isotropic 2 Band^SOLENOID-1-Body 1 (Cavity1) Air Isotropic 3 coil-1-body 1 (Split1[1]) Copper Isotropic 4 coil-1-body 2 (Split1[2]) Copper Isotropic 5 Outer Air^SOLENOID-1-Body 1 (Cavity1) Air Isotropic 6 plunger-1-body 1 (Boss-Extrude1) Mild Steel Isotropic 7 stator-1-body 1 (Cut-Extrude1) Mild Steel Isotropic 4. Load & Restraint Information Nbr. Name Selected Faces Selected Components Nb r. Name 1 Convectio n - 1 Convection Coefficient (W/(m^2.K)) Thermal Loads Ambient Temperature (Kelvin) Selec ted Faces 1.000e e Selected Components Outer Air^SOLENOID -1
5 5. Coils Information Nb r. Name Coil Type 1 Wound Coil - 1 Current driven coil Nbr.Of Turns 50 Coils Magnitu de e- 001 Components & Bodies coil-1 6. Force and Torque Information Nbr. Name Torque Center Components & Bodies 1 Virtual Work - 1 At origin plunger-1 7. Study Properties Motion Time Step Nbr.Of Nodes Mesh Information Nbr.Of Elements Element Size (mm) Tolerance (mm)
6 Solver Type Solver information Direct Solver Nbr. Current Increments 1 Compute circuit parameters Yes Thermal Analysis Yes Motion Analysis Yes 8. Results Table Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-004 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Coil Name Wound Coil - 1 Flux Linkage Results Flux Linkage (Wb) e-004 Coil Name BACK EMF Results BACK EMF (V) Wound Coil e+000
7 Energy Results Energy (J) Co-Energy (J) e e-004 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-004 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-004 Energy Results Energy (J) Co-Energy (J) e e-004
8 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-005 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-007 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-004 Energy Results Energy (J) Co-Energy (J) e e-004
9 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-005 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-003 Energy Results Energy (J) Co-Energy (J) e e-004
10 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-003 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-005 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-003 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-003 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-002 Energy Results Energy (J) Co-Energy (J) e e-004
11 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-004 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-005 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-003 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-003 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-003 Energy Results Energy (J) Co-Energy (J) e e-004
12 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-004 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-003 Energy Results Energy (J) Co-Energy (J) e e-004
13 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-006 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-003 Energy Results Energy (J) Co-Energy (J) e e-004
14 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-005 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-004 Energy Results Energy (J) Co-Energy (J) e e-005
15 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-005 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-006 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-004 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-004 Energy Results Energy (J) Co-Energy (J) e e-005
16 Results for Motion Time Value: sec Force Results Fx-axis (N) Fy-axis (N) Fz-axis (N) Virtual Work e e e-005 Torque Results Tx-axis (N.m) Ty-axis (N.m) Tz-axis (N.m) Virtual Work e e e-007 Coil Name Wound Coil - 1 Resistance Results Resistance(Ohms) e-001 Inductance Results (H) Coil Name Wound Coil - 1 Wound Coil e-004 Flux Linkage Results Coil Name Flux Linkage (Wb) Wound Coil e-005 BACK EMF Results Coil Name BACK EMF (V) Wound Coil e-004 Energy Results Energy (J) Co-Energy (J) e e-005
17 9. Magnetic Flux Density Results Magnetic Flux Density - 1
18 Magnetic Flux Density - 2
19 Magnetic Flux Density - 3
20 Magnetic Flux Density - 4
21 10. Magnetic Field Intensity Results Magnetic Field Intensity - 1
22 Magnetic Field Intensity - 2
23 Magnetic Field Intensity - 3
24 Magnetic Field Intensity - 4
25 11. Applied Current Density Results Applied Current Density - 1
26 12. Force Density Results Force Density - 1
27 13. Temperature Results Temperature - 1
28 14. Temperature Gradient Results Temperature Gradient - 1
29 15. Heat Flux Results Heat Flux - 1
30 16. Appendix 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: 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: 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 4.000e+001
Stepper Motor. Author: ElectroMagneticWorks. Company: ElectroMagneticWorks Inc.
1. Introduction 2. Model View 3. Materials 4. Load & Restraint Information 5. Coils Information 6. Force and Torque Information 7. Study Properties 8. Results Table 9. Magnetic Flux Density Results 10.
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