建筑物防雷系统中分支导体在雷电流作用下的温升计算

doi:10.11985/2017.07.001

摘要/Abstract

摘要：

为对建筑物防雷系统中分支导体在雷电流作用下的温升进行估算,提出了两种计算导体温升的数学模型。该模型用于估算在假设电流密度均匀分布在导体横截面内以及考虑到暂态趋肤效应下电流密度非均匀分布两种情况下圆柱导体的温升。根据以上两种数学模型,分别估算出了分支导体3在不同雷电流幅值作用下的温升：幅值为100kA时,其温升分别为2.25℃和2.75℃;当幅值为150kA时,其温升分别为5.1℃和6.18℃;当幅值为200kA时,其温升分别为9.19℃和11℃。本文还验证了该数学模型的研究结果。分析表明：文献中给出的测量数据与该模型计算得出的数据基本一致;防雷系统中各分支导体的温升确实会受到暂态趋肤效应的影响;该部分引起的导体额外温度上升很小可以忽略不计。

关键词: 防雷系统, 雷电流, 分支导体, 温升, 电流密度, 暂态趋肤效应

Abstract:

In order to estimate the temperature rise of conducting branches in a lightning protection system of a building under lightning current, two mathematical models for the temperature rise of conductors were proposed. The models used to estimate the temperature rise in cylindrical conductors assumed both a uniform and non-uniform current density distribution by taking into account the transient skin effect. According to the two models, the temperature rise of the third conducting branch subjected to three different amplitude lightning currents was worked out. When the amplitude of lighting currents is 100kA, 150kA and 200kA, respectively, the temperature rise of the conductor calculated based on the first model is 2.25, 5.1 and 9.19 degree centigrade, respectively, and the temperature rise under the second model is 2.75, 6.18 and 11 degree centigrade, respectively. In addition, verification of the mathematical results were studied. The measured results in the literature are consistent with the results from the mathematical models. It is convincingly shown that conducting branches can be influenced by the transient skin effect. The additional temperature rise however, caused by the transient skin effect, is minimal, and can be neglected.

Key words: Lightning protection system, lightning current, temperature rise, conducting branches, current density, transient skin effect

中图分类号:

TM863

王杰,盛财旺,童达,杨雷,王俊杰,杨文宝. 建筑物防雷系统中分支导体在雷电流作用下的温升计算[J]. 电气工程学报, 2017, 12(7): 1-7.

Wang Jie,Sheng Caiwang,Tong Da,Yang Lei,Wang Junjie,Yang Wenbao. Calculation of the Temperature Rise of Conducting Branches in a Lightning Protection System of a Building Subjected to Lightning Current Impulses[J]. Journal of Electrical Engineering, 2017, 12(7): 1-7.

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导体分支编号	1			2			3
雷电流幅值I_m/kA	100	150	200	100	150	200	100	150	200
分支电流幅值I_m/kA	29.824	44.736	59.649	32.262	48.393	64.524	38.176	57.264	76.352
比能w/(A²·s)	127 267	286 351	509 069	246 607	554 866	986 428	488 932	1 100 100	1 955 730
热损耗P/(W·s/m)	189.0	425.2	756.0	337.7	759.7	1 350.6	744.2	1 674.5	2 976.8
温升ΔT/℃,公式（12）	0.58	1.31	2.34	1.13	2.55	4.57	2.25	5.10	9.19
温升ΔT/℃,公式（31）	0.70	1.57	2.79	1.25	2.80	4.98	2.75	6.18	11.0
ΔT/℃,测量值[6]	0.6	1.3	2.3	1.1	2.6	4.6	2.1	5.0	9.1