Numerical continuation scheme for tracing the double bounded homotopy for analysing nonlinear circuits

Author

Vázquez-Leal, Héctor ; Hemandez-Martinez, L. ; Sarmiento-Reyes, Arturo ; Castañeda-Sheissa, Roberto

Author_Institution

Dept. of Electron., Instituto Nacional de Astrofisica, Opt. y Electron., Puebla, Mexico

Volume

2

fYear

2005

Lastpage

1126

Abstract

A numerical continuation for tracing the double bounded homotopy (DBH) for obtaining DC solutions of nonlinear circuits is proposed. The double bounded homotopy is used to find multiple DC solutions with the advantage of having a stop criterion which is based on the property of having a double bounded trajectory. The key aspects of the implementation of the numerical continuation are presented in this paper. Besides, in order to trace and apply the stop criterion some blocks of the numerical continuation are modified and explained.

Keywords

nonlinear equations; nonlinear network analysis; DBH; double bounded homotopy tracing; double bounded trajectory stop criterion; multiple DC circuit solutions; multiple operating point circuits; nonlinear algebraic equations; nonlinear circuit analysis; numerical continuation scheme; path following; path tracking; Astrophysics; Circuit analysis; Convergence of numerical methods; Ear; Nonlinear circuits; Nonlinear equations; Nonlinear optics; Robustness; Testing; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems, 2005. Proceedings. 2005 International Conference on

Print_ISBN

0-7803-9015-6

Type

conf

DOI

10.1109/ICCCAS.2005.1495304

Filename

1495304