A rational complex frequency domain model for the completely transposed transmission line with initial voltage and current distributions

摘要

The transmission-line equations for a completely transposed transmission line are decoupled so that the Laplace transformation can be applied for each phase sequence. We then obtain the equivalent two-port admittance matrix with current generators connected to the transmission line terminals which account for the initial voltage and current distributions. This circuit model is suitable for power network analysis and can be rationalized so that analytical time-domain waveforms can be obtained by applying the Heaviside partial fraction expansion method in Laplace inversion. The three sequence networks can be combined to give the relation between phase voltages and phase currents when this transmission line is embedded in an unbalanced power network.