The behavior of resistive circuits

Author

Willems, Jan C. ; Verriest, Erik I.

Author_Institution

Fac. of Electr. Eng., KULeuven, Leuven, Belgium

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

8124

Lastpage

8129

Abstract

We apply the modeling methodology of tearing, zooming, and linking to passive linear resistive circuits. The purpose of the article is to present necessary and sufficient conditions that govern the terminal voltage/current behavior of such a circuit. In its simplest form, these conditions require the matrix that relates the voltage vector to the current vector to be symmetric hyperdominant with zero excess. We also discuss the decomposition of a resistive circuit into a set of indecomposable components.

Keywords

joining processes; matrix algebra; passive networks; vectors; current vector; linking; passive linear resistive circuits; resistive circuit decomposition; resistive circuits behavior; symmetric hyperdominant; tearing; terminal current behavior; terminal voltage behavior; voltage vector; zero excess; zooming; Circuits; Equations; Joining processes; Matrix decomposition; Resistors; Sufficient conditions; Symmetric matrices; Vectors; Voltage; Wires;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400390

Filename

5400390