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Keywords = multi-wire bus duct

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21 pages, 11672 KiB  
Article
Analytical-Numerical Approach to the Skin and Proximity Effect in Lines with Round Parallel Wires
by Paweł Jabłoński, Dariusz Kusiak and Tomasz Szczegielniak
Energies 2020, 13(24), 6716; https://doi.org/10.3390/en13246716 - 19 Dec 2020
Cited by 8 | Viewed by 3511
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Electromagnetic Energy in Modern Engineering and Medical Technologies)
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