BIE FORMULATION FOR SKIN AND PROXIMITY EFFECT PROBLEMS OF PARALLEL CONDUCTORS

Boundary Integral Equation (BIE) is used to determine the current distribution in the cross sections of a group of parallel conductors. Magnetic vector potentials at conductor surfaces are calculated by using boundary element technique. The known current in each conductor is used as a constraint in the formulation. A source component (A) is introduced for the magnetic vector potential in order to maintain the balance between unknowns and equations and to transform Helmholtz's equation into a homogeneous equation. The choice of A S is preferred as compared to any other choice due to the fact that it has physical meaning and it simplifies the calculation of various quantities like voltage drop along the conductor, power loss and line impedance. © 1990 IEEE