T Line 3 - MapleSim Help
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TLine3

Lossless transmission line with characteristic impedance and frequency

 Description The TLine3 component models a lossless transmission line with characteristic ${Z}_{0}$ and frequency $f$. The delay is given by ${T}_{\mathrm{D}}=\frac{1}{4f}$.
 Equations ${e}_{r}=2\mathrm{delay}\left({v}_{1},{T}_{\mathrm{D}}\right)-\mathrm{delay}\left({e}_{s},{T}_{\mathrm{D}}\right)$ ${e}_{s}=2\mathrm{delay}\left({v}_{2},{T}_{\mathrm{D}}\right)-\mathrm{delay}\left({e}_{r},{T}_{\mathrm{D}}\right)$ ${T}_{\mathrm{D}}=\frac{1}{4f}$ ${i}_{1}={i}_{\mathrm{p1}}=-{i}_{\mathrm{n1}}=\frac{{v}_{1}-{e}_{s}}{{Z}_{0}}$ ${i}_{2}={i}_{\mathrm{p2}}=-{i}_{2}=\frac{{v}_{2}-{e}_{r}}{{Z}_{0}}$ ${v}_{1}={v}_{\mathrm{p1}}-{v}_{\mathrm{n1}}$ ${v}_{2}={v}_{\mathrm{p2}}-{v}_{\mathrm{n2}}$

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 $\mathrm{p1}$ Positive pin of the left port p1 $\mathrm{n1}$ Negative pin of the left port n1 $\mathrm{p2}$ Positive pin of the right port p2 $\mathrm{n2}$ Negative pin of the right port n2

Parameters

 Name Default Units Description Modelica ID ${Z}_{0}$ $1$ $\mathrm{\Omega }$ Characteristic impedance Z0 $F$ $1$ $\mathrm{Hz}$ 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.