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TLine3

Lossless transmission line with characteristic impedance and frequency

Modelica Standard Library

	Description
	The TLine3 component models a lossless transmission line with characteristic $Z_{0}$ and frequency $f$ . The delay is given by $T_{D} = \frac{1}{4 f}$ .

	Equations
	$e_{r} = 2 delay (v_{1}, T_{D}) - delay (e_{s}, T_{D})$ $e_{s} = 2 delay (v_{2}, T_{D}) - delay (e_{r}, T_{D})$ $T_{D} = \frac{1}{4 f}$ $i_{1} = i_{p1} = - i_{n1} = \frac{v_{1} - e_{s}}{Z_{0}}$ $i_{2} = i_{p2} = - i_{2} = \frac{v_{2} - e_{r}}{Z_{0}}$ $v_{1} = v_{p1} - v_{n1}$ $v_{2} = v_{p2} - v_{n2}$

Variables

Name	Units	Description	Modelica ID
$v_{1}$	$V$	Voltage drop over the left port	v1
$v_{2}$	$V$	Voltage drop over the right port	v2
$i_{1}$	$A$	Current flowing from pos. to neg. pin of the left port	i1
$i_{2}$	$A$	Current flowing from pos. to neg. pin of the right port	i2

Connections

Name	Description	Modelica ID
$p1$	Positive pin of the left port	p1
$n1$	Negative pin of the left port	n1
$p2$	Positive pin of the right port	p2
$n2$	Negative pin of the right port	n2

Parameters

Name	Default	Units	Description	Modelica ID
$Z_{0}$	$1$	$Ω$	Characteristic impedance	Z0
$F$	$1$	$Hz$	Frequency	F

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

Analog Components

Electrical Library

Transmission Lines

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