An Initial Solution Algorithm for Globally Convergent Homotopy Methods

Yasuaki INOUE  Saeko KUSANOBU  Kiyotaka YAMAMURA  Makoto ANDO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E87-A   No.4   pp.780-786
Publication Date: 2004/04/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Selected Papers from the 16th Workshop on Circuits and Systems in Karuizawa)
nonlinear circuit,  circuit simulation,  homotopy method,  initial solution,  unique solution,  

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Finding DC operating points of transistor circuits is an important and difficult task. The Newton-Raphson method adopted in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to give an appropriate initial solution as a starting point. However, there are few studies concerning such initial solution algorithms. In this paper, initial solution problems in homotopy methods are discussed, and an effective initial solution algorithm is proposed for globally convergent homotopy methods, which finds DC operating points of transistor circuits efficiently. Numerical examples using practical transistor circuits show the effectiveness of the proposed algorithm.