Coil with ferromagnetic core. Co-simulation with LTspice - QuickField simulation example
Charged capacitor is connected to the coil. Coil is represented by inductor L1 connected in series with resistor R1.
How to calculate transient current in a nonlinear ferromagnetic-core coil circuit with QuickField and LTspice?
Answer Typical applications Geometry
Electric circuit schematics:
Given Task
Solution
Result:
Capacitor voltage and coil current in time calculated by LTspice
*LTspice is an electronic circuit simulation software by Linear Technology (LTC).
Engineering question
Generate the coil flux-linkage-versus-current characteristic in QuickField and use it to define the nonlinear inductor in the LTspice discharge circuit.
ferromagnetic core coils, nonlinear magnetic inductors, circuit-field coupled coils
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Simulation problem
Problem Type
Axisymmetric problem of DC magnetics
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:
Calculate transient current in the electric circuit.
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.
Measured flux linkage (per single turn) and total winding current in QuickField
Measured in QuickField
Data for LTspice
Inductance,
L = (Φ/I)·n²
[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
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