Calculation of two-dimensional eddy current problems with the boundary element method

Two-dimensional eddy current prblems are formulated by a set of boundary integral equations which are solved by the boundary element method (BEM). The calculations are performed for infinitely long conductors and multiconductor systems with arbitrary cross-sections. The problems are expressed in terms of the axial component A of the magnetic vector potential. The eddy current problems are solved by dividing the boundary of the conductors into three-noded isoparametric, quadratic elements. For the calculation a constant vector potential which is superimposed on the internal magnetic potential of the conductors is assumed. The given conductor currents can be related to the normal derivatives of the magnetic vector potential at the boundaries. In an example the BEM solution is compared with the exact analytical solution for an infinitely long, cylindrical conductor with a circular cross-section showing excellent agreement.