利用电磁拓扑学,将电偶极子产生的电磁场与架空传输线的电磁耦合问题进行拓扑分解,推导出用于同时求解传输线瞬态电压响应和空间电场的BLT方程。推导过程中引入电场的分量形式以解决入射场的方向性,考虑了传输线中差模电流和共模电流的辐射,并计及了由传输线初始状态引起的零输入响应。利用本文结果可有效地计算外部电磁场与传输线的耦合问题。
The electromagnetic coupling problem of electromagnetic field produced by an electric dipole and the over head transmission line is decomposed topologically in the paper by using electromagnetic topology, and the BLT equation to solve the spatial electric field and the transient voltage response of the transmission line is derived, The components of electric field are used in the analysis to solve the angle of incident field. The radiation of differential mode current and common mode current in the transmission line is considered. Furthermore, the zero-input response caused by the initial state of transmission line is analyzed in the paper. The results in the paper can be used to calculate the electromagnetic coupling problem of external electromagnetic field and transmission line efficiently.