TLine3

Lossless transmission line with characteristic impedance Z0 and frequency F

    TLine3

Library

Modelica/Electrical/Analog/Lines

Description

Lossless transmission line with characteristic impedance Z0 and frequency F The lossless transmission line TLine3 is a two Port. Both port branches consist of a resistor with value of the characteristic impedance Z0 and a controlled voltage source that takes into consideration the transmission delay. For further details see Branin's article below. Resistance R' and conductance C' per meter are assumed to be zero. The characteristic impedance Z0 can be derived from inductance and capacitance per length (L' resp. C'), i. e. Z0 = sqrt(L'/C'). The length of the line is equal to a quarter of the wavelength corresponding to the frequency F, i. e. the transmission delay is the quotient of 4 and F. In this case, the characteristic impedance is called natural impedance.

References:

Branin Jr., F. H.
Transient Analysis of Lossless Transmission Lines. Proceedings of the IEEE 55(1967), 2012 - 2013
Hoefer, E. E. E.; Nielinger, H.
SPICE : Analyseprogramm fuer elektronische Schaltungen. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985.

Parameters

TLine3_0

NameLabelDescriptionData TypeValid Values

mo_Z0

Z0

Natural impedance

Scalar

mo_F

F

Frequency

Scalar

mo_TD

TD

Scalar

TLine3_1

NameLabelDescriptionData TypeValid Values

mo_v1

v1

v1

Structure

mo_v1/fixed

fixed

Cell of scalars

true
false

mo_v1/start

start

Cell of scalars

mo_v2

v2

v2

Structure

mo_v2/fixed

fixed

Cell of scalars

true
false

mo_v2/start

start

Cell of scalars

mo_i1

i1

i1

Structure

mo_i1/fixed

fixed

Cell of scalars

true
false

mo_i1/start

start

Cell of scalars

mo_i2

i2

i2

Structure

mo_i2/fixed

fixed

Cell of scalars

true
false

mo_i2/start

start

Cell of scalars

Ports

NameTypeDescriptionIO TypeNumber

p1

implicit

Positive electrical pin of port 1

input

1

n1

implicit

Negative electrical pin of port 1

output

1

p2

implicit

Positive electrical pin of port 2

input

2

n2

implicit

Negative electrical pin of port 2

output

2