Nonlinear Eddy Current Analysis of Thin Steel Plate by Boundary Integral Equations

Eddy currents induced in steel plate are formulated by integral equations, which are derived from Maxwell's equations by employing Green's theorem. As the periodic electromagnetic quantities in the steel plate are distorted waves, these fields are expressed with the help of Fourier series, whose fundamental and harmonic waves are determined by solving the corresponding integral equations with the surface magnetic fields given as the boundary values. The internal and surface electromagnetic fields are obtained numerically one after the other until convergence by an iterative method.