Calculation of the rings inductance at the any given degree of skin effect

Ŕ.
V. Savel’ev, N. P. Chubinsky

Moscow Institute of Physics and Technology (State University)

The paper is received
on December 23, 2013

Abstract:The algorithm of the inductancerings calculation is offered at any given degree of skin
effect. It is based on definition of
three-dimensional distributions of the current density on section of a ring. It
has allowed to determine correctly inductance of "thick" rings when its
radius only in some times exceeds thickness of a conductor. The algorithm works
in all frequencyrange
of applicability quasistaticapproximation.
It is supposed to use the given method for calculation of mutual inductance of
strongly connected "thick" contours. The received results for thin
rings will well be coordinated with known asymptotic calculations. The used
algorithm has enabled to determine effective inductance and resistance of the
rings formed by system of thin isolated conductors.

Keywords:inductance, skin
effect, distributions of the current density.