Transient Response of a Multiconductor Transmission Line With Nonlinear Terminations Excited by an Electric Dipole

A method for transient analysis of multiconductor transmission lines with nonlinear terminations excited by an electric dipole is presented in this paper. The solution to the initial boundary value problem represented by transmission-line equations and initial and boundary conditions is proved to be unique, under the assumption that the terminations are locally passive nonlinear resistors. The current Baum-Liu-Tesche equation in the complex frequency domain is divided into two parts representing responses excited separately by terminal voltages of the loads and distributed voltage sources produced by the electric dipole. Furthermore, the equivalent resistance of each exciting voltage source is derived to be zero. Time-domain equations to resolve the problem are established. In contrast with calculation results by other methods, 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 multiconductor transmission line with nonlinear terminations.