Finite Element Method Magnetics (FEMM) simulation

•

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Demonstration of a basic Finite Element Method Magnetics simulation program *The demonstration is part of exam for FEMM course to operate a basic finite element simulation program took place at Denmark Technical University (2015).

Engineering

Finite Element Simulation
Wireless Power Transfer
Group 2
S100339; S104712

Live Example Demonstration
• Software: FEMM 4.2
• Example : Investigating Solenoid
• Solenoid Dimensions:
• R = 1.5 cm
• L = 4.5 cm
• N = 1000

Mathematical Comparison
• Inductance:
• Calculation:
• L = 4934.80µH
• Resistance:
• Calculation:
• Voltage Drop:
• Calculations:

Mathematical Comparison
• Power:
• Calculation:
• Megnatic Field Energy:
• Energy Stored =
• 0.0025 joules
• B-Field Density:
• Calculation:

Wireless Power Transfer
• Axisymetric Model:
• Primary Coil Dimensions: R = 20cm, N = 3, AWG 18,
• Secondary Coil Dimensions: R = 20cm, N = 9, AWG 18,
• FEMM Simulation:
• Demonstrate from FEMM 4.2

Wireless Power Transfer
• Simulation Results:

Wireless Power Transfer
• Mutual Inductance:
• Flux linkage = 1.78551e-005 Webers = 17.8 µWebers
•
• Couplings Coefitient:
•

Wireless Power Transfer
• Planar Model:
• Primary Coil Dimensions: R = 20cm, N = 3, AWG 18
• Secondary Coil Dimensions: R = 20cm, N = 9, AWG 18,
• FEMM Simulation:
• Demonstrate from FEMM 4.2

Mathematical Comparison
• Primary Resistance:
• Calculation: R = 0.07 Ω
• Primary Voltage:
• Calculation: V = I*R = 0.205 * 0.207 = 0.0140 V = 14mV
• Primary Power:
• Calculation: P = V* I = 0.0028 watt = 2.8mW
• Primary Inductance:
• Calculation : 10 µH

Mathematical Comparison
• Primary Magnetic field ”B”:
• Calculation: B = u0*n*itotal = (1.2556e-006*0.6 = 6.5745e-007
• U= 4*pi*10^-7
• n= N/L
• Itotal = 0.6
• Resonans Frequency
• Calculation:

Mathematical Comparison
• Secondary Resistance:
• Calculation : 0.213Ω
• Secondary Inductance:
• Calculation: 61.8µH
• Secondary Voltage:
• Calculation: 0.042 V = 42mV
• Resonance Frequency:
• Calculation:

LT Spice Simulation
• Q factor for primary
• Q=f0/delta=212796/1300=163.68

LT Spice Simulation
• Q factor for sacondary
• Q=f0/deltaf=212000/800=265

LT Spice Simulation
• Output for secondary

Oscilliscope Measurements
• Primary Voltage:

Oscilliscope Measurements
• Primary Current:

Oscilliscope Measurements
• Secondary Voltage:

Oscilliscope Measurements
• Secondary Current:

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Finite Element Method Magnetics (FEMM) simulation

1. Finite Element Simulation Wireless Power Transfer Group 2 S100339; S104712

2. Live Example Demonstration • Software: FEMM 4.2 • Example : Investigating Solenoid • Solenoid Dimensions: • R = 1.5 cm • L = 4.5 cm • N = 1000

3. Mathematical Comparison • Inductance: • Calculation: • L = 4934.80µH • Resistance: • Calculation: • Voltage Drop: • Calculations:

4. Mathematical Comparison • Power: • Calculation: • Megnatic Field Energy: • Energy Stored = • 0.0025 joules • B-Field Density: • Calculation:

5. Wireless Power Transfer • Axisymetric Model: • Primary Coil Dimensions: R = 20cm, N = 3, AWG 18, • Secondary Coil Dimensions: R = 20cm, N = 9, AWG 18, • FEMM Simulation: • Demonstrate from FEMM 4.2

6. Wireless Power Transfer • Simulation Results:

7. Wireless Power Transfer • Mutual Inductance: • Flux linkage = 1.78551e-005 Webers = 17.8 µWebers • • Couplings Coefitient: •

8. Wireless Power Transfer • Planar Model: • Primary Coil Dimensions: R = 20cm, N = 3, AWG 18 • Secondary Coil Dimensions: R = 20cm, N = 9, AWG 18, • FEMM Simulation: • Demonstrate from FEMM 4.2

9. Wireless Power Transfer • Simulation Results:

10. Mathematical Comparison • Primary Resistance: • Calculation: R = 0.07 Ω • Primary Voltage: • Calculation: V = I*R = 0.205 * 0.207 = 0.0140 V = 14mV • Primary Power: • Calculation: P = V* I = 0.0028 watt = 2.8mW • Primary Inductance: • Calculation : 10 µH

11. Mathematical Comparison • Primary Magnetic field ”B”: • Calculation: B = u0*n*itotal = (1.2556e-006*0.6 = 6.5745e-007 • U= 4*pi*10^-7 • n= N/L • Itotal = 0.6 • Resonans Frequency • Calculation:

12. Mathematical Comparison • Secondary Resistance: • Calculation : 0.213Ω • Secondary Inductance: • Calculation: 61.8µH • Secondary Voltage: • Calculation: 0.042 V = 42mV • Resonance Frequency: • Calculation:

13. LT Spice Simulation • Q factor for primary • Q=f0/delta=212796/1300=163.68

14. LT Spice Simulation • Q factor for sacondary • Q=f0/deltaf=212000/800=265

15. LT Spice Simulation • Circuits

16. LT Spice Simulation • Output for secondary

17. LT Spice Simulation • Input to primary

18. Oscilliscope Measurements • Primary Voltage:

19. Oscilliscope Measurements • Primary Current:

20. Oscilliscope Measurements • Secondary Voltage:

21. Oscilliscope Measurements • Secondary Current:

22. Matlab Script

23. Matlab Script

24. Matlab Script