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Coil with ferromagnetic core. Co-simulation with LTspice

Charged capacitor is connected to the coil. Coil is represented by inductor L1 connected in series with resistor R1.

Problem type:
Axisymmetric problem of DC magnetics

Geometry:

Electric circuit schematics:

Given:
Capacitor value C1 = 100 uF
Capacitor initial voltage VC1 = 100 V
Coil number of turns n = 500
Coil resistance value R1 = 4.5 Ohm
Ferromagnetic core permeability μ - B(H) curve.

Task:
Calculate transient current in the electric circuit.

Solution:
QuickField calculates Flux linkage vs. Current characteristic of the coil. The series calculations are automated using LabelMover parametric tool.
The Flux linkage vs. Current characteristic is used in LTspice circuit simulator to define inductor L1 behavior.

Result:
Measured flux linkage (per single turn) and total winding current in QuickField

Measured in QuickField

Data for LTspice

Inductance,
L = (Φ/In2
[mH]

Total winding
current, I [A]

Flux linkage
per turn,
Φ [mWb]

Conductor
current,

I / n [A]

Winding flux
linkage,

n·Φ [mWb]

500

0.00518

1

2.59

2.59

1000

0.0104

2

5.18

2.59

1500

0.0154

3

7.70

2.57

2000

0.0192

4

9.60

2.40

2500

0.0216

5

10.8

2.16

3000

0.0236

6

11.8

1.97

3500

0.0256

7

12.8

1.83

4000

0.0274

8

13.7

1.71

4500

0.0292

9

14.6

1.62

5000

0.0210

10

15.5

1.55

5500

0.0328

11

16.4

1.49

6000

0.0345

12

17.2

1.44

6500

0.0362

13

18.1

1.39

7000

0.0379

14

19.0

1.35

7500

0.0396

15

19.8

1.32

8000

0.0413

16

20.7

1.29

Capacitor voltage and coil current in time calculated by LTspice

Download simulation files.

*LTspice is an electronic circuit simulation software by Linear Technology (LTC).