电气系统中多导体传输线的瞬态电磁响应  

Transient Electromagnetic Response of Multiconductor Transmission Line in Electrical System

作　　者：谢莉[1] 雷银照[1] 

机构地区：[1]北京航空航天大学自动化科学与电气工程学院,北京100191

出　　处：《电工技术学报》2010年第5期190-194,共5页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(50777002);国防基础科研(A2120080260)资助项目

摘　　要：连接电气系统的多导体传输线在电偶极子激励下的瞬态电磁响应分析是开展电力系统电磁干扰防护工作的基础。本文将复频域形式的BLT(Baum-Liu-Tesche)电流方程分解为电偶极子电磁场等效分布电压源与负载端电压两部分激励产生的响应之和,在此基础上利用拉普拉斯反变换得到了线性多导体传输线的时域终端电压-电流关系式,并将传输线的初始条件等效为线上的分布激励源,计及了由传输线初始状态产生的零输入响应。与数值算法结果的对比验证了所提出的传输线时域终端电压-电流关系式。最后,通过一个交直流供电系统计算例,说明了本文给出的方法可有效地计算外部电磁场与电气系统中多导体传输线的电磁耦合问题。Analysis of the transient electromagnetic response of the multiconductor transmission line in an electrical system excited by an electric dipole is fundamental to protection of power systems against electromagnetic interference.The current Baum-Liu-Tesche（BLT） equation in the complex frequency domain is divided into two parts representing the responses excited separately by the terminal voltages of the loads and the distributed voltage sources produced by the electric dipole,and the time-domain relation of the terminal voltage and current of the transmission line is derived by inverse Laplace transform.Furthermore,the initial conditions of the transmission line are converted to the distributed sources along the line,so the zero-input response produced by the initial state of the line can be analyzed.The derived time-domain relation of the terminal voltage and current of the line is verified by the results comparison with the numerical method.By an illustration of an AC-DC power system,it is shown that the method proposed in the paper can be used to efficiently calculate the electromagnetic coupling problem of an external electromagnetic field and the multiconductor transmission line in an electrical system.

关 键 词：BLT方程 电磁耦合 瞬态电磁响应 传输线 

分 类 号：TM72[电气工程—电力系统及自动化]