Title :
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
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;
Conference_Titel :
Communications, Circuits and Systems, 2005. Proceedings. 2005 International Conference on
Print_ISBN :
0-7803-9015-6
DOI :
10.1109/ICCCAS.2005.1495304
