Surge Propagation in a Transmission Line

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A lossless transmission line is characterized by the surge impedance and surge velocity
. When the transmission line is energized by a voltage source
, a forward surge
is created (the magnitude:
, where
is the input circuit impedance). The surge reaches the other end in the transit time
,
being the line length. Then, a backward surge
is generated by the reflection factor
,
being the output impedance. This wave generates another forward surge
by the factor
at the initial terminal. The voltage and current in the transmission line are described by the superposition of those successive forward and backward components
and
.
Contributed by: Y. Shibuya (August 2014)
Open content licensed under CC BY-NC-SA
Snapshots
Details
In the graphic, all the variables are shown in normalized bases: space and time
by the line length
and transit time
, respectively. Impedances are shown by the surge impedance
Snapshot 1: voltage almost doubles at a large output impedance
Snapshot 2: a negative current surge is generated for
Snapshot 3: no surge is reflected for
Permanent Citation