Time-domain investigation of the transient behaviour of a circular tube two-wire line

A line of conductors, given by two parallel circular tubes, is connected with a source of impressed voltage or impressed current respectively. This causes transient eddy currents inside the conductors whose characteristic distribution depend on the kind of excitation. The transient eddy current problem for the two cases of excitation is investigated in the time domain by solving two corresponding symmetric integral equations, where we express the current density of the tubes as series of eigenfunctions of the homogenized integral equations. By transforming the latter into two equivalent matrix eigenvalue problems using orthogonal bases the eigenvalue problem can be solved by applying well-known methods