WOLFRAM SYSTEM MODELER
TLineLossless transmission line with characteristic impedance Z0 and transmission delay TD |
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Wolfram Language
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SystemModel["Modelica.Electrical.Analog.Lines.TLine"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Lossless transmission line with characteristic impedance Z0 and transmission delay TD. The lossless transmission line TLine is a two Port. Both port branches consist of a resistor with characteristic impedance Z0 and a controlled voltage source that takes into consideration the transmission delay TD. For further details see [Branin1967]. The model parameters can be derived from inductance and capacitance per length (L' resp. C'), i. e. Z0 = sqrt(L' / C').
There are three possibilities for specifying the transmission delay TD:
- Calculate TD = sqrt(L' * C')*length_of_line.
- Specify the normalized length NL, i.e. the length of the line divided by the wavelength corresponding to the frequency F: TD = NL / F.
- Specify NL = 1/4, i.e. the length of the line is assumed to be equal to a quarter of the wavelength corresponding to the frequency F: TD = 1/4 / F. In that case, the characteristic impedance Z0 is called natural impedance.
Resistance R' and conductance G' per meter are assumed to be zero.
References: [Branin1967], [Hoefer1985]
Parameters (4)
| Z0 |
Type: Resistance (Ω) Description: Characteristic impedance |
|---|---|
| TD |
Value: 0 Type: Time (s) Description: Transmission delay: specify > 0 if F and NL are not given |
| F |
Value: 0 Type: Frequency (Hz) Description: Frequency: specify > 0 if TD is not given |
| NL |
Value: 1 / 4 Type: Real Description: Normalized length: specify if TD is not given |
Connectors (4)
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p1 |
Type: PositivePin Description: Positive electrical pin of port 1 |
|---|---|---|
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n1 |
Type: NegativePin Description: Negative electrical pin of port 1 |
|
p2 |
Type: PositivePin Description: Positive electrical pin of port 2 |
|
n2 |
Type: NegativePin Description: Negative electrical pin of port 2 |
Used in Examples (4)
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Modelica.Electrical.Analog.Examples.Lines Compare lossless lines with different load |
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Modelica.Electrical.Analog.Examples.Lines Compares oLine and tLine behaviour |
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Modelica.Electrical.Analog.Examples.Lines Compares oLine and tLine splitting lines into trunks |
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LightningLosslessTransmissionLine Modelica.Electrical.Analog.Examples.Lines Lightning on a lossless transmission line |
Revisions
- 1998
by Joachim Haase
initially implemented