S. Yuferev et L. Kettunen, A NEW BOUNDARY-ELEMENT TECHNIQUE TO TRANSIENT NONLINEAR LOW PENETRATION PROBLEMS OF MULTICONDUCTOR SYSTEMS, IEEE transactions on magnetics, 34(5), 1998, pp. 2613-2616
This paper describes a time domain boundary element formulation for ca
lculation of eddy currents in a system of conductors of magnetic mater
ial due to the passage of short current pulses, The perturbation metho
d is applied to derive the implicit time domain non-linear surface imp
edance boundary condition (SIBC) for the normal component of the magne
tic field (magnetic induction) on the surface of the conductor of homo
geneous isotropic magnetic material with an arbitrary BH-curve. Then t
he SIBC is coupled with the surface integral equation for the scalar m
agnetic potential given by the boundary integral equation method. The
formulation developed is applicable to 3-D problems as well as 2-D pro
blems. It is shown that no computational difficulties arise compared t
o solving the problem under the assumption that the field does not pen
etrate into the body (static problem). A numerical example is consider
ed.