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HMagn3: Nonlinear ferromagnetic core in sinusoidal magnetic field

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

Problem Type:
A plane-parallel problem of nonlinear AC magnetics.

Geometry:

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

Problem:
Calculate B and H distribution along the radius r.

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

B,H distribution along the radius

See the HMagn3.pbm problem in the Examples folder.