An efficient homotopy method for finding DC operating points of nonlinear circuits

Yu Imai; Kiyotaka Yamamura; Yasuaki Inoue

doi:10.1093/ietfec/e88-a.10.2554

An efficient homotopy method for finding DC operating points of nonlinear circuits

Yu Imai^*, Kiyotaka Yamamura, Yasuaki Inoue

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Finding DC operating points of nonlinear circuits is an important problem in circuit simulation. The Newton-Raphson method employed in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. There are several types of homotopy methods, one of which succeeded in solving bipolar analog circuits with more than 20000 elements with the theoretical guarantee of global convergence. In this paper, we propose an improved version of the homotopy method that can find DC operating points of practical nonlinear circuits smoothly and efficiently. Numerical examples show the effectiveness of the proposed method.

Original language	English
Pages (from-to)	2554-2561
Number of pages	8
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E88-A
Issue number	10
DOIs	https://doi.org/10.1093/ietfec/e88-a.10.2554
Publication status	Published - 2005 Oct

Keywords

Circuit simulation
DC operating point analysis
Homotopy method
Nonlinear circuit

ASJC Scopus subject areas

Electrical and Electronic Engineering
Hardware and Architecture
Information Systems

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10.1093/ietfec/e88-a.10.2554

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T1 - An efficient homotopy method for finding DC operating points of nonlinear circuits

AU - Imai, Yu

AU - Yamamura, Kiyotaka

AU - Inoue, Yasuaki

PY - 2005/10

Y1 - 2005/10

N2 - Finding DC operating points of nonlinear circuits is an important problem in circuit simulation. The Newton-Raphson method employed in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. There are several types of homotopy methods, one of which succeeded in solving bipolar analog circuits with more than 20000 elements with the theoretical guarantee of global convergence. In this paper, we propose an improved version of the homotopy method that can find DC operating points of practical nonlinear circuits smoothly and efficiently. Numerical examples show the effectiveness of the proposed method.

AB - Finding DC operating points of nonlinear circuits is an important problem in circuit simulation. The Newton-Raphson method employed in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. There are several types of homotopy methods, one of which succeeded in solving bipolar analog circuits with more than 20000 elements with the theoretical guarantee of global convergence. In this paper, we propose an improved version of the homotopy method that can find DC operating points of practical nonlinear circuits smoothly and efficiently. Numerical examples show the effectiveness of the proposed method.

KW - Circuit simulation

KW - DC operating point analysis

KW - Homotopy method

KW - Nonlinear circuit

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An efficient homotopy method for finding DC operating points of nonlinear circuits

Abstract

Keywords

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