# ngmultidec - Online in the Cloud

This is the command ngmultidec that can be run in the OnWorks free hosting provider using one of our multiple free online workstations such as Ubuntu Online, Fedora Online, Windows online emulator or MAC OS online emulator

### PROGRAM:

#### NAME

ngmultidec - make ngpice sub-circuit for coupled transmission lines

#### SYNOPSIS

ngmultidec [ options... ]

#### DESCRIPTION

ngmultidec writes an ngspice input file to standard output which describes a sub-circuit
for coupled lines using uncoupled simple lossy lines.

Each generated subcircuit models a 4-conductor transmission line with the following
parameters: length l, line capacitance c, line resistance r, line conductance g,
inductive_coeff_of_coupling k, inter-line capacitance cm, length l. Derived parameters
are: lm, ctot. The values of l, c, the model name, the number of conductors and the
length of the line must be specified.

It is important to note that the model is a simplified one - the following assumptions are
made: 1. The self-inductance l, the self-capacitance ctot (note: not c), the series
resistance r and the parallel capacitance g are the same for all lines, and 2. Each line
is coupled only to the two lines adjacent to it, with the same coupling parameters cm and
lm. The first assumption implies that edge effects have to be neglected. The utility of
these assumptions is that they make the sL+R and sC+G matrices symmetric, tridiagonal and
Toeplitz, with useful consequences (see the paper referenced below).

It may be noted that a symmetric two-conductor line is represented accurately by this
model.

Standard C language scientific (exponent) notation may be used for options' numeric
values.

#### OPTIONS

-osubcircuit_name
Set the subcircuit name

-lline_inductance
Set the line inductance.

-cline_capacitance
Set the line capacitance.

-rline_resistance
Set the line resistance.

-gline_conductance
Set the line conductance.

-kinductive_coefficient_of_coupling
Set the value of the inductive coefficient of coupling, whose absolute value k must
be less than 1.0.

-xline-to-line-capacitance
Set the line-to-line capacitance.

-Llength
Set the length of the line.

-nnumber
Set the number of conductors.

-u Write a usage message to standard error.

#### EXAMPLE

ngmultidec -n4 -l9e9 -c20e-12 -r5.3 -x5e12 -k0.7 -otest -L5.4 > test.cir

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