GAO Jinge, LI Jingxiao. Study on Lightning Induced Voltages in Transmission Lines Under Soil Conductivity Stratified Structures[J]. Applied Mathematics and Mechanics, 2019, 40(8): 917-925. doi: 10.21656/1000-0887.390093
Citation: GAO Jinge, LI Jingxiao. Study on Lightning Induced Voltages in Transmission Lines Under Soil Conductivity Stratified Structures[J]. Applied Mathematics and Mechanics, 2019, 40(8): 917-925. doi: 10.21656/1000-0887.390093

Study on Lightning Induced Voltages in Transmission Lines Under Soil Conductivity Stratified Structures

doi: 10.21656/1000-0887.390093
  • Received Date: 2018-03-27
  • Rev Recd Date: 2018-12-18
  • Publish Date: 2019-08-01
  • To solve the contradiction between the ideal hypothesis and the real situation in solution of the lightning induced voltage model, the Rusck model was improved through replacement of the actual line height with the equivalent line height. This method enables fast solution of lightning induced voltages in transmission lines under soil conductivity stratified structures. The effectiveness and superiority of the improved Rusck model were verified through comparison with the FDTD results. The simulation results show that, for a single soil layer with a conductivity less than 0.1 S/m, the influence of the conductivity should be considered in solution of the induced voltage, and the peak voltage will increase with the decrease of the conductivity. For a stratified structure, the induced voltage will increase with the thickening of the upper soil layer with a less conductivity; on the contrary, the induced voltage will decrease with the thickening of the upper layer, and the effects of soil stratification can be ignored for the case of an upper soil layer with a thickness exceeding 5 m.
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  • [1]
    陈家宏, 赵淳, 谷山强, 等. 我国电网雷电监测与防护技术现状及发展趋势[J]. 高电压技术, 2016,42(11): 3361-3375.(CHEN Jiahong, ZHAO Chun, GU Shanqiang, et al. Present status and development trend of lightning detection and protection technology of power grid in China[J]. High Voltage Engineering,2016,42(11): 3361-3375.(in Chinese))
    [2]
    TAYLOR C D, SATTERWHITE R C, HARRISON C W. The response of a terminated two wire transmission line excited by a nonuniform electromagnetic field[J]. IEEE Transactions on Antennas and Propagation,1987,13(11): 987-989.
    [3]
    AGRAWAL A, PRICE H, GURBAXANI S. Transient response of multiconductor transmission lines excited by a nonuniform electromagnetic field[J]. IEEE Transactions on Electromagnetic Compatibility,1980,22(2): 119-129.
    [4]
    RACHIDI F. Formulation of the field-to-transmission line coupling equations in terms of magnetic excitation field[J]. IEEE Transactions on Electromagnetic Compatibility,1993,35(3): 404-407.
    [5]
    高金阁, 马京津, 马海鹏, 等. 基于FDTD传输线雷电感应过电压模拟研究[J]. 高原气象, 2018,37(4): 1094-1101.(GAO Jinge, MA Jingjin, MA Haipeng, et al. Simulation of lightning induced overvoltage on transmission line based on FDTD[J]. Plateau Meteorology,2018,37(4): 1094-1101.(in Chinese))
    [6]
    高金阁, 张其林, 李东帅, 等. 粗糙表面对雷电水平电场影响的模拟研究[J]. 气象科学, 2013,33(6): 627-633.(GAO Jinge, ZHANG Qilin, LI Dongshuai, et al. Propagation effects of the rough surface on the lightning horizontal electric field[J]. Journal of the Meteorological Sciences,2013,33(6): 627-633.(in Chinese))
    [7]
    杨静, 郄秀书, 王建国, 等. 雷电在水平导体中产生感应电压的观测及数值模拟研究[J]. 物理学报, 2008,57(3): 1968-1975.(YANG Jing, QIE Xiushu, WANG Jianguo, et al. Observation of the lightning-induced voltage in the horizontal conductor and its simulation[J]. Acta Physica Sinica,2008,57(3): 1968-1975.(in Chinese))
    [8]
    HIDALEN H K. Analytical formulation of lightning-induced voltages on multiconductor overhead lines above lossy ground[J]. IEEE Transactions on Electromagnetic Compatibility,2003,45(1): 92-100.
    [9]
    汤霄, 张其林, 李东帅, 等. 分层土壤结构下雷电感应过电压计算与分析[J]. 高电压技术, 2015,41(1): 84-93.(TANG Xiao, ZHANG Qilin, LI Dongshuai, et al. Calculation and analysis of lightning induced overvoltage with stratified ground structure[J]. High Voltage Engineering,2015,41(1): 84-93.(in Chinese))
    [10]
    梁希强, 高强, 姚伟岸. 基于动力系统特性和群理论的一维周期结构瞬态响应的高效算法[J]. 应用数学和力学, 2018,39(2): 170-182.(LIANG Xiqiang, GAO Qiang, YAO Weian. An efficient algorithm based on dynamic system properties and group theory for transient responses of 1D periodic structures[J]. Applied Mathematics and Mechanics,2018,39(2): 170-182.(in Chinese))
    [11]
    鲍四元, 邓子辰. 薄板弯曲自由振动问题的高精度近似解析解及改进研究[J]. 应用数学和力学, 2016,37(11): 1169-1180.(BAO Siyuan, DENG Zichen. High-precision approximate analytical solutions for free bending vibrations of thin plates and an improvement[J]. Applied Mathematics and Mechanics,2016,37(11): 1169-1180.(in Chinese))
    [12]
    周凤玺, 曹小林. 深埋隧洞围岩应力的精确解与近似解的对比分析[J]. 应用数学和力学, 2017,38(10): 1166-1179.(ZHOU Fengxi, CAO Xiaolin. Comparison between exact solutions and approximate solutions of deep tunnels[J]. Applied Mathematics and Mechanics,2017,38(10): 1166-1179.(in Chinese))
    [13]
    DARVENIZA M. A practical extension of Rusck’s formula for maximum lightning-induced voltages that accounts for ground resistivity[J]. IEEE Transactions on Power Delivery,2007,22(1): 605-612.
    [14]
    中华人民共和国电力工业部. 交流电气装置的过电压保护与绝缘配合: DL/T 620—1997[S]. 北京: 中国电力出版社, 1997.(Ministry of Electric Industry of the People’s Republic of China. Overvoltage protection and insulation coordination for AC electrical installations: DL/T 620—1997[S]. Beijing: China Electric Power Publishing Company, 1997.(in Chinese))
    [15]
    边凯, 陈维江, 李成榕, 等. 架空配电线路雷电感应过电压计算研究[J]. 中国电机工程学报, 2012,32(31): 191-199.(BIAN Kai, CHEN Weijiang, LI Chengrong, et al. Calculation of lightning induced overvoltage on overhead distribution lines[J]. Proceedings of the CSEE,2012,32(31): 191-199.(in Chinese))
    [16]
    高金阁, 李京校, 张仲, 等. 架空传输线雷电感应电压计算公式分析与修订[J]. 气象科学, 2017,37(6): 845-850.(GAO Jinge, LI Jingxiao, ZHANG Zhong, et al. Analysis and revision for formula of lightning induced voltage on overhead transmission line[J]. Journal of the Meteorological Sciences,2017,37(6): 845-850.(in Chinese))
    [17]
    CHOWDHURI P. Voltage surges induced on overhead lines by lightning strokes[J]. Proceedings of the Institution of Electrical Engineers,1967,114(12): 1899-1907.
    [18]
    JANKOV V. Estimation of the maximal voltage induced on an overhead line due to the nearby lightning[J]. IEEE Transactions on Power Delivery,1997,12(1): 315-324.
    [19]
    ANDREOTTI A, ASSANTE D, MOTOLLA F, et al. An exact closed-form solution for lightning-induced overvoltages calculations[J]. IEEE Transactions on Power Delivery,2009,24(3): 1328-1343.
    [20]
    PAULINO J O S, BARBOSA C F, LOPES I J S, et al. An approximate formula for the peak value of lightning-induced voltages in overhead lines[J]. IEEE Transactions on Power Delivery,2010,25(2): 843-851.
    [21]
    RACHIDI F, NUCCI C A, IANOZ M, et al. Influence of a lossy ground on lightning-induced voltages on overhead line[J]. IEEE Transactions on Electromagnetic Compatibility,1996,38(3): 250-264.
    [22]
    ZHANG Q L, ZHANG L, TANG X, et al. An approximate formula for estimating the peak value of lightning-induce overvoltage considering the stratified conducting ground[J]. IEEE Transactions on Power Delivery,2014,29(2): 884-889.
    [23]
    MUR G. Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations[J]. IEEE Transactions on Electromagnetic Compatibility,1981,23(4): 377-382.
    [24]
    BABA Y, RAKOV V A. Electric and magnetic fields predicted by different electromagnetic models of the lightning return stroke versus measured fields[J]. IEEE Transactions on Electromagnetic Compatibility,2009,51(3): 479-487.
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