Application of Lagrangian with reverse time scales to transients in RC-transmission lines. I. Propagation

Author

Fatic, V.M. ; Castleberry, David A.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Union Coll., Schenectady, NY, USA

Volume

2

fYear

1995

fDate

13-16 Aug 1995

Firstpage

937

Abstract

Lagrangian for diffusion equation is formulated in context of a newly developed variational theory for dissipative systems with distributed parameters. This Lagrangian is used to determine approximate solutions for diffusion along a semi-infinite RC transmission line, energized by a constant current source. Two solutions are obtained by radically different test functions: one, which simulates propagation and another, which represents instantaneous diffusion. Both solutions approximate the exact solution very well, thus confirming the new Lagrangian

Keywords

RC circuits; constant current sources; distributed parameter networks; transient analysis; transmission line theory; variational techniques; Lagrangian; constant current source; diffusion equation; dissipative systems; distributed parameters; instantaneous diffusion; reverse time scales; semi-infinite RC transmission line; test functions; transients; variational theory; Application software; Diffusion processes; Educational institutions; Equations; Lagrangian functions; Linear systems; Power system transients; Propagation losses; Testing; Transmission line theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1995., Proceedings., Proceedings of the 38th Midwest Symposium on

Conference_Location

Rio de Janeiro

Print_ISBN

0-7803-2972-4

Type

conf

DOI

10.1109/MWSCAS.1995.510244

Filename

510244