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
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;
Conference_Titel :
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location :
Champaign, IL
DOI :
10.1109/MWSCAS.1989.101891
