Eddy Currents Induced in Two Parallel Round Conductors

摘要

The paper presents a method of analysis of eddy currents induced in a system of two parallel round conductors by a transverse alternating magnetic field generated by a current in one of them. The magnetic field is represented by means of magnetic vector potential as expansion into Fourier series. Using the Laplace and Helmholtz equations as well as the classical boundary conditions we determine analytically the current density induced due to the proximity effect. Power transmission lines with round conductors are widely used in distribution networks. Therefore, although the paper is theoretical, the determination of electromagnetic parameters of the power transmission lines is of huge practical significance.