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Abstract
The following thesis investigates the numerical
solution of the steady state transmission line equations for
a general non - uniform transmission line, with the aim of
minimising the error which is introduced in the numerical
solution.
In order to carry out this investigation, the errors
associated with a particular numerical algorithm ( the first
order Taylor’s series algorithm ) are examined in detail. It
is shown that it is possible to develop an equation which
predicts the magnitude of the step size which should be used
in the numerical solution in order to minimise the errors
introduced. It is shown that this ’’optimum step size” depends
mainly on the line parameters and on the angular frequency of
the voltage and current vectors.
Following this theoretical development, several
transmission line problems which have analytical solutions
are solved numerically, and it is shown that the practical
results are in accordance with those predicted by the theory.
Finally, it is proposed that the results will also
apply to the numerical solution of many non - uniform transmission
line problems in which the parameter variations are
more or less of the same form as those in the examples investigated,
but where no analytical solution is yet known.