Transmission Line Transient with Load

Editors：蔡豐能、段智維、陳冠宏

Advisor：江簡富  教授

  Consider the transmission line circuit shown in Fig.1.11(a). The switch is closed at , and a dc voltage of is connected to the transmission line. The boundary condition requires that at , and at . During , and waves propagate in the direction as shown in Fig.1.11(b) with . The boundary condition at imposes that . Thus, we have with .
  During the time interval as shown in Fig.1.11(c), and waves are reflected and propagate in the direction with . The boundary condition at imposes that or .

   During the time interval as shown in Fig.1.11(d), and waves are reflected by the source impedance, , and propagate in the direction with . The boundary condition at imposes that. Thus, we have or

.

  As t approaches , the voltage wave reduces to

  The transients in the presence of an arbitrary load can be traced in a similar manner.

           =100

           =50

           =150

           =100

Voltage

Current