Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires

Abstract

Power and communication lines with round wires are often used in electrical engineering. The skin and proximity effects affect the current density distribution and increase resistances and energy losses. Many approaches were proposed to calculate the effects and related quantities. One of the simplest approximate closed solutions neglects the dimensions of neighboring wires. In this paper, a solution to this problem is proposed based on the method of successive reactions. In this context, the solution with substitutive filaments is considered as the first approximation of the true solution. Several typical arrangements of wires in single-phase communication lines or three-phase bus ducts are considered to detect the limits of applicability of the first approximation. The error of the first approximation grows with wire radius to skin depth ratio and wire radius to wire spacing ratio. When the wire radius to skin depth ratio is up to 1, and the gap between the wires is above the wire radius, the error is at a level of 1%. However, lowering the distance and/or skin depth leads to a much larger error in the first approximation.

Research on the transmission of electric power via the increased frequency coaxial line to a remote low-power load (consumer)

“…1. This phenomenon of redistribution of the increased frequency current across the cross-section of the conductor is called the proximity effect [7][8][9]. Regardless of the shape of the cross section and the configuration of the conductors, the proximity effect will be present when the increased frequency current flows.…”

A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines

“…Quite recently Jabło ński et al presented a hybrid approach to compute skin and proximity effects for two parallel conductors with circular cross section based on the method of successive reactions [5]. The approach was extended to take into account the couplings in three phase lines with round conductors in reference [6].…”

A Multiphysics Analysis of Coupled Electromagnetic-Thermal Phenomena in Cable Lines

“…The approach was extended to take into account the couplings in three phase lines with round conductors in Ref. [6].…”