Title :
The behavior of resistive circuits
Author :
Willems, Jan C. ; Verriest, Erik I.
Author_Institution :
Fac. of Electr. Eng., KULeuven, Leuven, Belgium
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400390
