Title :
Matrix-oriented methods for searching the topological conditions for the analysis of nonlinear resistive circuits
Author :
Hernández-Martinez, Luis ; Vázquez-Leal, Hector ; Sarmiento-Reyes, Arturo
Author_Institution :
Electron. Dept., Instituto Nacional de Astrofisica, Opt. y Electron., Puebla, Mexico
Abstract :
The paper presents two methods based on matrix techniques for finding the pair of conjugate trees and the pair of compatible i-v orientations in the circuit topology. The existence of both topological conditions are used to asses the uniqueness of the DC solution. The method resorts to matrix manipulations and it is based on the RE Algorithm (reduction to an Echelon matrix) and on the colored-branch algorithm. The method deals with circuits containing V-resistors, I-resistors, independent current and voltage sources, nullators and norators
Keywords :
circuit analysis computing; matrix algebra; network topology; nonlinear network analysis; trees (mathematics); DC solution; I-resistors; RE algorithm; V-resistors; colored-branch algorithm; compatible i-v orientations; conjugate trees; independent current sources; independent voltage sources; matrix-oriented methods; nonlinear resistive circuits; norators; nullators; topological conditions; Bonding; Circuit stability; Circuit topology; Graph theory; Inspection; Nonlinear circuits; Nonlinear optics; Resistors; Tree graphs; Voltage control;
Conference_Titel :
Circuits and Systems, 2001. MWSCAS 2001. Proceedings of the 44th IEEE 2001 Midwest Symposium on
Conference_Location :
Dayton, OH
Print_ISBN :
0-7803-7150-X
DOI :
10.1109/MWSCAS.2001.986106
