Nonlinear ferromagnetic core in sinusoidal magnetic field

QuickField simulation example

A sinusoidal current carrying conductor is surrounded by nonlinear ferromagnetic core.

Problem Type
Plane-parallel problem of AC magnetics.

Geometry

Given
Total current I = 500 A.
Frequency f = 50 Hz.
Core BH-curve: H = 100·B²

Task
Calculate B and H distribution along the radius R.

Solution
To calculate the sinusoidal filed distribution in nonlinear core we should use the modified curve B'(H). In this particular case the modified BH-curve can be calculated as B`(H) = B(H) * (1 + 1/sqrt(180)).
BH-curve for AC magnetics

Results
Magnetic field strength distribution

B,H distribution along the radius calculated by QuickField and by analytical expression.

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