Finding multiple solutions of piecewise-affine resistive circuits

Author

Güzelis, Cüneyt ; Goknar, Izzet Cem

Author_Institution

Fac. of Electr. & Electron. Eng., Tech. Univ. of Istanbul, Turkey

fYear

1988

fDate

7-9 Jun 1988

Firstpage

1229

Abstract

A combinatorial method for finding all solutions of piecewise-affine resistive circuits is presented. The method is applied to a proposed representation of piecewise-affine equations which uses convex-set theory, but in no way is it restricted to this representation. Based on the developed method, a systematic search scheme is given to determine the regions which have solutions including infinite ones, and its efficiency is compared to other combinatorial methods given in the literature. It is noted that the proposed method does not necessitate the calculation and the existence of the inverse of the Jacobian matrix in any region. Thus, it is capable of finding infinite solutions

Keywords

combinatorial mathematics; nonlinear network analysis; set theory; combinatorial method; convex-set theory; infinite solutions; multiple solutions; nonlinear networks; piecewise-affine resistive circuits; systematic search scheme; Bismuth; Circuit testing; Differential equations; Diodes; Electronic circuits; Jacobian matrices; Large-scale systems; Nonlinear circuits; Nonlinear equations; Set theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1988., IEEE International Symposium on

Conference_Location

Espoo

Type

conf

DOI

10.1109/ISCAS.1988.15149

Filename

15149