Boundary integral equations analysis of induction devices with rotational symmetry

Analysis of induction heating characteristics by the boundary element method

“…Electric f ield E and magnetic field H of angular f requenc y w satis f y Maxwell's equation s o that f1 x H =j CJJD f1 x E = -j CJJ B (1) (2) 101 f1·B = O (3) f1·D=O (4) where D is the dielectric flux density; and B is the magnetic flux density. Conductivity a and dielectric constant £ are used to define the complex-valued dielectric constant such that g'=g+a/jCJJ (5) Denoting the permeability by ~, the following equations are obtained:…”

“…The edd y current problem in an infinite space can be analyzed effectively by the boundary element method and many papers have been published so far on this problem [1,2]. In this anal ysis, the two boundary integral equations that are solved are derived from the boundary conditions for the electric field and three-dimensional conductor and dielectric space [3,4] . These equations are represented by unknown variables of the electric and magnetic fields and the complexity of Green functions used for representing the conducting medium causes computational difficulties.…”

Eddy current analysis for ECT by BEM utilizing induced currents at 90° edge

“…Enforcing the electromagnetic boundary conditions, various types of integral equations are derived for solving eddy current problems [2][3][4][5][6]. Some of the surface integral equations contain the surface electric and magnetic currents, J s and K s , as unknowns.…”

Boundary-Integral method for calculating poloidal axisymmetric AC magnetic fields

“…There is an analytic solution for the Green's function for the 2-D case and a point-source Green's function is used in the 3-D case while there is no simple analytic solution for Green's function in the axisymmetric case. The axisymmetric case has been addressed by Fawzi et al [19], who derived boundary integral equations for the transverse magnetic (TM) mode in terms of the azimuthal electrical and tangential magnetic fields in the full electrodynamic formulation including the displacement current. The same problem has been revisited in [20], [21] in a quasi-static approximation.…”