DocumentCode
1966031
Title
Finding all DC equilibrium points of nonlinear circuits
Author
Mathis, Wolfgang ; Wettlaufer, Gerhard
Author_Institution
Inst. of Network Theory & Electron., Tech. Univ. of Braunschweig, West Germany
fYear
1989
fDate
14-16 Aug 1989
Firstpage
462
Abstract
The details of a continuation algorithm for systems of real polynomial equations which is suitable for calculating all their zeros is described. Some properties of this algorithm are shown by means of a simple example. Such a numerical method is helpful to circumvent the problems connected with bifurcations and turning points occurring in systems of parameterized polynomial equations. Applications of this algorithm enable the determination of all DC operational points of nonlinear resistive networks and the solving of nonlinear design equations with more than one solution
Keywords
nonlinear network analysis; polynomials; DC equilibrium points; continuation algorithm; nonlinear circuits; nonlinear design equations; parameterized polynomial equations; real polynomial equations; resistive networks; Algorithm design and analysis; Bifurcation; Circuit analysis; Electrical engineering; Jacobian matrices; Newton method; Nonlinear circuits; Nonlinear equations; Polynomials; Turning;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location
Champaign, IL
Type
conf
DOI
10.1109/MWSCAS.1989.101891
Filename
101891
Link To Document