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

Author

Li, Jung-chien

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Ocean Univ., Keelung, Taiwan

Volume

42

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

223

Lastpage

225

Abstract

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

Keywords

Laplace transforms; current distribution; frequency-domain analysis; transient analysis; transmission line matrix methods; transmission network calculations; voltage distribution; Heaviside partial fraction expansion; Laplace inversion; Laplace transformation; analytical time-domain waveforms; circuit model; current generators; equivalent two-port admittance matrix; initial current distribution; initial voltage distribution; phase currents; phase voltages; power network analysis; rational complex frequency domain model; sequence networks; transmission-line equations; transposed transmission line; unbalanced power network; Admittance; Current distribution; Distributed parameter circuits; Frequency domain analysis; Laplace equations; Power transmission lines; Time domain analysis; Transmission line matrix methods; Transmission lines; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.382478

Filename

382478