On the Analysis of a Transmission Line With Nonlinear Terminations Using the Time-Dependent BLT Equation

In this paper, the Baum-Liu-Tesche (BLT) equation is extended from the frequency domain into the time domain, so as to permit an analysis of a transmission line with nonlinear loads at each end of the line. To do this, we use both the voltage and current BLT equations in the time domain, together with the nonlinear v-i relationships for the termination loads, to formulate a nonlinear BLT equation for the unknown reflection coefficients at each end of the line. This equation is solved by a time-marching procedure, and its solution provides transient reflection coefficients at the nonlinear terminations. Once the reflection coefficients are determined, the load voltages and currents can be computed from the transient BLT equations. This computational procedure is illustrated with several examples.