波纹金属护套高压单芯电缆线芯护层互感的解析解

doi:10.19595/j.cnki.1000-6753.tces.190928

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摘要高压电缆线芯导体和金属护层互感是计算护层感应电压、环流和损耗的基础, 是电缆线路设计和规划的重要参数。为提高感应参数的计算精度, 该文采用毕奥-萨伐尔定律求解高压电缆线芯电流的磁感应强度, 利用高斯定理求解波纹护套截面的磁通量, 建立环形纹和螺纹护套的参数方程, 确定以相距为护套厚度的内外曲面作为磁通量面积分的边界, 推导出线芯与波纹护套的互感和等效直径方法误差的解析公式。以400mm²、800mm²、1 200mm²截面110kV高压电缆几何参数为算例计算, 互感随护套厚度和压纹深度的增大而增大, 随几何平均半径的增大而减小。解析解与数值解一致, 等效半径方法计算得到的近似解比解析解小0.2%~0.3%。整数倍节距长电缆线路, 环形纹和螺纹护套电缆互感相等, 平滑护套电缆互感大于波纹护套。

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关键词 ：高压电缆, 波纹金属护套, 互感, 感应电动势, 护层电流

Abstract：In this paper, the analytical solution of the mutual inductance between the centre conductor and the sheath of HV single conductor cable with corrugated metallic sheath is deduced based on the Maxwell equations. The parametric equation of the helical and annular corrugated sheath cable is proposed as the limits of surface integral of the magnetic flux within the sheath. The mutual inductances of 110kV cables with 400mm², 800mm², 1 200mm² cross-section are analyzed. The results show that the mutual inductance increases with the increase of the sheath thickness and embossing depth, and decreases with the increase of the geometric mean distance between conductor and sheath. The analytical solution is consistent with the numerical solution. Besides, the approximate solution of mutual inductance calculated by the geometric mean distance is 0.2~0.3% smaller than that of the analytical solution. For a long cable with multiple pitches, the mutual inductance of HV cable with helical and annular corrugated sheath is identical, whilst smaller than that with smooth sheath.

Key words： High voltage cable corrugated metallic sheath mutual inductance induced electro- motive force sheath current

收稿日期: 2019-07-22

PACS:

TM274

通讯作者: 周文俊男, 1959年生, 博士, 教授, 博士生导师, 研究方向为高电压与绝缘技术。E-mail: wjzhou@whu.edu.cn

作者简介: 王航男, 1989年生, 博士, 研究方向为电力电缆状态检测与新能源并网。E-mail: wanghang@whu.edu.cn

引用本文:

王航, 周文俊, 陈杰, 曹京荥, 周承科. 波纹金属护套高压单芯电缆线芯护层互感的解析解[J]. 电工技术学报, 2020, 35(16): 3369-3376. Wang Hang, Zhou Wenjun, Chen Jie, Cao Jingxing, Zhou Chengke. Analytical Solution of the Mutual Inductance of a HV Single Conductor Cable with Corrugated Metallic Sheath. Transactions of China Electrotechnical Society, 2020, 35(16): 3369-3376.

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