Eddy Current Distribution in Cylindrical Shells of Finite Length and of One Cylindrical Boundary Due to Axial Currents Part II: Cylindrical Hole with Non-Symmetrical Excitation

TLDR: In this article, a cylindrical hole in a conducting material between two parallel planes is considered, and the distribution of the proximity effect is determined analytically by solving the differential equation for penetration of currents and appropriately applying boundary conditions.

Abstract: Axial currents of power frequency flowing in filaments of infinite length parallel to a cylindrical shell of finite length and of one cylindrical boundary give rise to eddy currents in the conducting material of the shell due to proximity effect. The shell considered, consists of a cylindrical hole in a conducting material between two parallel planes. The current filament is placed inside the hole at an arbitrary but known position. The distribution of the proximity effect is determined analytically by solving the differential equation for penetration of currents and appropriately applying boundary conditions. The loss is also determined. The material of the shell is considered to be non- magnetic.