A matrix-oriented method for searching a pair of conjugate trees for the analysis of nonlinear resistive circuits

Author

Reyes, Arturo Sarmiento ; Martínez, Luis Hernández

Author_Institution

Instituto Nacional de Astrofisica, Opt. y Electron., Puebla, Mexico

Volume

3

fYear

2000

fDate

2000

Firstpage

1152

Abstract

Presents a method focused on finding a pair of conjugate trees in the circuit topology. The existence of such a pair is one of the conditions for a nonlinear resistive circuit to have one and only one DC solution. The method resorts to matrix manipulations and it is based on the RE algorithm (reduction to an echelon matrix). The method can handle circuits containing V-resistors, I-resistors, independent current and voltage sources, nullators and norators

Keywords

active networks; network topology; nonlinear network analysis; trees (mathematics); DC solution; I-resistors; RE algorithm; V-resistors; circuit topology; conjugate tree pair; echelon matrix; independent current sources; independent voltage sources; matrix manipulations; matrix-oriented method; nonlinear resistive circuit analysis; norators; nullators; Bonding; Circuit stability; Circuit topology; Contracts; Graph theory; Linear circuits; Nonlinear circuits; Nonlinear optics; Resistors; Voltage control;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2000. Proceedings of the 43rd IEEE Midwest Symposium on

Conference_Location

Lansing, MI

Print_ISBN

0-7803-6475-9

Type

conf

DOI

10.1109/MWSCAS.2000.951419

Filename

951419