基于拉氏反变换的传输线耦合电流半解析解  

Laplace Inverse Transformation Based Semi-Analytical Solution of Coupling Currents of Transmission Line Illuminated by Electromagnetic Pulse

作　　者：卢斌先[1] 王泽忠[1] 程养春[1] 

机构地区：[1]高电压与电磁兼容北京市重点实验室(华北电力大学),北京市昌平区102206

出　　处：《电网技术》2007年第14期52-56,共5页Power System Technology

基　　金：国家杰出青年科学基金资助项目(50325723)~~

摘　　要：根据均匀平面波的特点,可将外场激励下传输线沿线激励的电源视为传输线首端等效电源的延迟,该延迟是空间电磁场相对于传输线入射参数的函数。基于Taylor传输线耦合模型,考虑均匀平面波激励下分布激励源的延迟性,推导了以理想大地为回线拉普拉斯域的传输线终端电流的半解析解公式,然后应用拉普拉斯反变换的性质推导出了时域电流的半解析解。终端耦合电流随着传输线参数和空间电磁场入射参数的变化而变化。仿真结果表明该半解析解公式收敛很快,对分析研究电磁场在传输线上的耦合机理和研究影响耦合电流大小的参数有特别意义。According to the characteristics of the uniform plane wave, the distributed source generated on transmission line by external field can be regarded as the source delayed by that at the sending terminal. This retardation is the function of incident parameters of external field. On the basis of Taylor transmission line model and considering the retardation of distributed exciting sources under the excitation of uniform plane wave, the formulae of semi-analytical solution of current at receiving terminal of transmission line, which is composed of single lossless conductor and ideal ground, are derived in the Laplace domain; then by use of the property of Laplace inverse transformation, the semi-analytical solution of current in time domain is derived. Terminal coupling current varies with the transmission line parameters and incident parameter of spatial electromagnetic field. Simulation results show that the derived formulae for semi-analytical solution can converge quickly, and the derived formulae are available for reference to the research on the coupling mechanism of electromagnetic field to transmission line and on effect of parameters on the magnitude of coupling current.

关 键 词：耦合 半解析解 传输线 电磁脉冲 拉普拉斯变换 

分 类 号：TM15[电气工程—电工理论与新技术]