Eddy Current Distribution in Cylindrical Shells of Infinite Length Due to Axial Currents Part I: Shells of One Boundary

Axial currents of power frequency flowing in a filament parallel to a cylindrical shell of one boundary, give rise to eddy currents in the conducting material of the shell due to proximity effect. Axial currents flowing in the shell give rise to skin effect. The distribution of both these currents is determined analytically by solving the differential equation for penetration of currents in the conducting material and appropriatelly applying boundary conditions. The phase difference of the current density at every point of the cross section and the loss are also determined. Both, shell and current filament are assumed to have an infinite length. The material of the shell is considered to be non- magnetic.