Does a series-parallel network of monotone resistors make sense? Yes or no?

Author

Zemanian, Amen H. ; Chan, Yaw-Ruey

Author_Institution

Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA

Volume

44

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

45

Lastpage

54

Abstract

A new procedure is presented that very rapidly determines whether or not a dc operating point exists for a series-parallel network of continuous, strictly monotonically increasing resistances having possibly limited domains and/or ranges. This is accomplished without any attempted computation of the operating point. If such exists, it will be unique. The procedure does not involve any manipulation of the characteristic curves of the resistors other than the asymptotes to which they tend. As a result, it is easily programmed and rapidly executed. The test is extendable to series-parallel networks of nonmonotonic resistors, but in this case the test is only for existence-not for uniqueness

Keywords

nonlinear network analysis; DC operating point; monotone resistors; series-parallel network; Breakdown voltage; Capacitors; Computer networks; Current measurement; Diodes; Inductors; Resistors; Testing; Upper bound; Voltage measurement;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.558441

Filename

558441