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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.

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/I)·n2 [mH] Total windingcurrent, 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

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

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• Download simulation files (files may be viewed using any QuickField Edition).