Current displacement in plane rectangular conductor: An analytical approach using BIE and separation

The purpose of this paper is to provide an analytical solution to the plane eddy current problem inside conductive bars with rectangular cross‐section.

Eddy currents inside conductive materials have been investigated for a very long time, using measurements and mathematical modelling. This paper provides an analytical solution to the plane eddy current problem inside conductive bars with rectangular cross‐section.

The paper's approach solves the given plane eddy current problem with the boundary integral equation method. The Helmholtz' equation for vector potential inside the rectangle is solved by separation. The solution is inserted into the remaining boundary integral equation for the exterior vector potential in the domain surrounding the conductor yielding a system of linear equations. Results match existing solutions.

The method discussed provides a new way to solve the EC problem and is slightly faster than the available commercial codes; yet, it is limited to rectangular bars of cross‐section.