Estimating Calculation of the Displacement Current Density and Its Influence on Electromagnetic Processes in a Metallic Conductor with Alternating Conduction Current

IF 0.9 Q3 Engineering

Surface Engineering and Applied Electrochemistry Pub Date : 2025-03-04 DOI:10.3103/S1068375524700364

M. I. Baranov

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Abstract

The paper presents the results of an approximate calculation of the density δ_s(t) of displacement current i_s(t) and an assessment of the influence of the density on electromagnetic processes in an isotropic nonmagnetic metal (alloy) of a continuous cylindrical conductor of finite dimensions (radius r₀ and length l₀ \( \gg \) r₀) with an electric alternating (pulsed) axial conduction current i₀(t) with various amplitude–time parameters. The obtained theoretical data on the quantized (discrete) spatiotemporal distributions of standing longitudinal waves (half-waves) of density δ_s(t) of displacement current i_s(t) in this conductor allow one to conclude that electrodynamic calculations of variable (pulsed) electromagnetic processes occurring both in the conductor and in the electric circuit connected to it can ignore the influence of the longitudinal waves (half-waves) of density δ_s(t) of displacement current i_s(t) and the displacement current i_s(t) itself in the conductor, and these quantities in practical field calculations can be neglected. It was determined that the waves (half-waves) of density δ_s(t) of displacement current i_s(t) and the displacement current i_s(t) itself preserve the solenoidality (closeness) of the total electric current i_i(t) = i₀(t) + i_s(t) in the conductor and its circuit. It was shown by calculation that the displacement current i_s(t) and its density δ_s(t) in the nonmagnetic metal (alloy) of the conductor do not suffer thermal (Joule) energy losses.

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交变导体中位移电流密度的估计、计算及其对电磁过程的影响

本文给出了位移电流为(t)的密度δs(t)的近似计算结果，并评估了密度对各向同性非磁性金属（合金）的电磁过程的影响，该金属（合金）具有有限尺寸（半径为r0，长度为l0 \( \gg \) r0）的连续圆柱导体具有不同幅度时间参数的交变（脉冲）轴向传导电流为i0(t)。该导体中位移电流密度δs(t)为(t)的驻纵波（半波）的量子化（离散）时空分布的理论数据允许人们得出这样的结论：在导体和与其相连的电路中发生的可变（脉冲）电磁过程的电动力学计算可以忽略位移电流密度δs(t)为(t)的纵波（半波）的影响位移电流本身在导体中是(t)，这些量在实际的磁场计算中可以忽略。确定了位移电流的密度δs(t)的波（半波）为(t)，位移电流为(t)本身保持了导体及其电路中总电流的螺线性（封闭性）ii(t) = i0(t) + is(t)。计算表明，在导体的非磁性金属（合金）中，位移电流为(t)，其密度δs(t)不受热（焦耳）能量损失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Surface Engineering and Applied Electrochemistry Engineering-Industrial and Manufacturing Engineering

CiteScore

1.60

自引率

22.20%

发文量

期刊介绍： Surface Engineering and Applied Electrochemistry is a journal that publishes original and review articles on theory and applications of electroerosion and electrochemical methods for the treatment of materials; physical and chemical methods for the preparation of macro-, micro-, and nanomaterials and their properties; electrical processes in engineering, chemistry, and methods for the processing of biological products and food; and application electromagnetic fields in biological systems.