About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Paper
Numerical calculation of the inductances of a multi-superconductor transmission line system
Abstract
A variational numerical method is described in this paper to calculate the inductances of a multi-superconductor transmission line system. We show that the currents in the superconductors are distributed in a way that the sum of the total magnetostatic energy and the total kinetic energy of the system is a minimum. Using this principle, a variational technique is formulated to calculate the current distribution in the conductors and to calculate the inductances of the conductor system, in particular, we subdivide the conductor into small rectangular sub-conductors and assume a uniform trial current in each of the sub-conductor. The total energy of the system is obtained through Green's function and is minimized by applying the Lagrange multiplier technique. Once the current distribution is obtained, the inductances can be obtained easily. The method is implemented numerically and proved to be fast and accurate. © 1981 IEEE