Calculation of the Inductance of Normal Conductors and Superconductors

We consider the problem of calculating the matrices of linear inductance and resistance, as well as the distribution of current and magnetic potential in an extended homogeneous transmission line whose structure can consist of superconductors and normal conductors of arbitrary cross section characterized by some complex conductivity. A mathematical statement of the problem is given, and a computational boundary element algorithm based on the reduction of the problem to a system of boundary integral equations is formulated. Computational alternatives to this approach and the results of calculations using the developed TLZ (Transmission Line Z) program are presented together with a simple way to visualize solutions of the boundary element method using the Gnuplot graphics package.