A RATIONAL COMPLEX FREQUENCY-DOMAIN MODEL FOR THE COMPLETELY TRANSPOSED TRANSMISSION-LINE WITH INITIAL VOLTAGE AND CURRENT DISTRIBUTIONS

The transmission-line equations for a completely transposed transmissi on line are decoupled so that the Laplace transformation can be applie d for each phase sequence, We then obtain the equivalent two-port admi ttance matrix with current generators connected to the transmission-li ne terminals which account for the initial voltage and current distrib utions. This circuit model is suitable for power network analysis and can be rationalized so that analytical time-domain waveforms can be ob tained 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 tran smission line is embedded in an unbalanced power network.