Some properties of series-parallel nonlinear resistive circuits

Author

Constantinescu, Florin

Author_Institution

Dept. of Electr. Eng., Polytech. Inst. of Bucharest, Romania

Volume

38

Issue

4

fYear

1991

fDate

4/1/1991 12:00:00 AM

Firstpage

442

Lastpage

445

Abstract

In a linear series-parallel circuit having a unique independent source, the polarity of a branch voltage depends only on the polarity of the source voltage. This dependence is given by the Duffin´s rule (R. J. Duffin, 1965). Here, this rule is extended to some classes of nonlinear series-parallel resistive circuits containing one or many independent sources. This rule is used to prove some new properties of these circuits: bounding regions and slope bounds for transfer characteristics, modification of the driving-point characteristic produced by some modifications of branch characteristics, monotone sensitivity with respect to many branches, and concavity of the driving-point characteristic in terms of the branch characteristic´s concavities

Keywords

nonlinear network analysis; sensitivity analysis; transfer functions; Duffin´s rule; bounding regions; branch voltage; concavity; driving-point characteristic; monotone sensitivity; polarity; series-parallel nonlinear resistive circuits; slope bounds; source voltage; transfer characteristics; Association rules; Circuit analysis; Circuit synthesis; Circuit testing; Circuits and systems; Nonlinear circuits; Resistors; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.75401

Filename

75401