A sinusoidal current carrying conductor is surrounded by nonlinear ferromagnetic core.
A plane-parallel problem of nonlinear AC magnetics.
Total current I = 500 A.
Frequency f = 50 Hz.
Core BH-curve: H = 100·B2
Calculate B and H distribution along the radius r.
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.