Title :
Double-bounded homotopy for analysing nonlinear resistive circuits
Author :
Vázquez-Leal, Héctor ; Hemandez-Martinez, L. ; Sarmiento-Reyes, Arturo
Author_Institution :
Electron. Dept., Nat. Inst. for Astrophys., Opt. & Electron., Puebla, Mexico
Abstract :
A homotopy method for obtaining DC solutions of nonlinear circuits is proposed. The homotopy method is called double-bounded homotopy and it is used to find multiple DC solutions. This method presents a novel stop criterion which is based on the property of tracing a double bounded trajectory. The main properties of the homotopy are explained by using the Lambert-W function.
Keywords :
nonlinear equations; nonlinear network analysis; DC solutions; Lambert-W function; double bounded trajectory; double-bounded homotopy; nonlinear algebraic equations; nonlinear circuit analysis; nonlinear resistive circuit analysis; stop criterion; Astrophysics; Circuit analysis; Differential equations; Nonlinear circuits; Nonlinear equations; Nonlinear optics; Testing; Transient analysis;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465309
