An efficient homotopy method for solving transistor circuits

Yasuaki Inoue; Yu Imai; Makoto Ando; Kiyotaka Yamamura

An efficient homotopy method for solving transistor circuits

Yasuaki Inoue^*, Yu Imai, Makoto Ando, Kiyotaka Yamamura

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Finding DC operating points of transistor circuits is a very important and difficult task. To cope with this difficult task, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to construct an appropriate homotopy function. In conventional homotopy methods, linear auxiliary functions have been commonly used. In this paper, a homotopy method using some nonlinear auxiliary function is proposed. The proposed method utilizes a nonlinear function closely related to circuit equations to be solved, so that it efficiently finds DC operating points of practical transistor circuits. Numerical examples show the effectiveness of the proposed algorithm.

Original language	English
Title of host publication	Midwest Symposium on Circuits and Systems
Volume	2
Publication status	Published - 2004
Event	The 2004 47th Midwest Symposium on Circuits and Systems - Conference Proceedings - Hiroshima, Japan Duration: 2004 Jul 25 → 2004 Jul 28

Other

Other	The 2004 47th Midwest Symposium on Circuits and Systems - Conference Proceedings
Country/Territory	Japan
City	Hiroshima
Period	04/7/25 → 04/7/28

Keywords

Auxiliary function
Circuit simulation
Homotopy function
Homotopy method
Nonlinear function

ASJC Scopus subject areas

Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials

Cite this

@inproceedings{7a24d84ad732426684d7f07fb6ee297e,

title = "An efficient homotopy method for solving transistor circuits",

abstract = "Finding DC operating points of transistor circuits is a very important and difficult task. To cope with this difficult task, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to construct an appropriate homotopy function. In conventional homotopy methods, linear auxiliary functions have been commonly used. In this paper, a homotopy method using some nonlinear auxiliary function is proposed. The proposed method utilizes a nonlinear function closely related to circuit equations to be solved, so that it efficiently finds DC operating points of practical transistor circuits. Numerical examples show the effectiveness of the proposed algorithm.",

keywords = "Auxiliary function, Circuit simulation, Homotopy function, Homotopy method, Nonlinear function",

author = "Yasuaki Inoue and Yu Imai and Makoto Ando and Kiyotaka Yamamura",

year = "2004",

language = "English",

volume = "2",

booktitle = "Midwest Symposium on Circuits and Systems",

note = "The 2004 47th Midwest Symposium on Circuits and Systems - Conference Proceedings ; Conference date: 25-07-2004 Through 28-07-2004",

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TY - GEN

T1 - An efficient homotopy method for solving transistor circuits

AU - Inoue, Yasuaki

AU - Imai, Yu

AU - Ando, Makoto

AU - Yamamura, Kiyotaka

PY - 2004

Y1 - 2004

N2 - Finding DC operating points of transistor circuits is a very important and difficult task. To cope with this difficult task, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to construct an appropriate homotopy function. In conventional homotopy methods, linear auxiliary functions have been commonly used. In this paper, a homotopy method using some nonlinear auxiliary function is proposed. The proposed method utilizes a nonlinear function closely related to circuit equations to be solved, so that it efficiently finds DC operating points of practical transistor circuits. Numerical examples show the effectiveness of the proposed algorithm.

AB - Finding DC operating points of transistor circuits is a very important and difficult task. To cope with this difficult task, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to construct an appropriate homotopy function. In conventional homotopy methods, linear auxiliary functions have been commonly used. In this paper, a homotopy method using some nonlinear auxiliary function is proposed. The proposed method utilizes a nonlinear function closely related to circuit equations to be solved, so that it efficiently finds DC operating points of practical transistor circuits. Numerical examples show the effectiveness of the proposed algorithm.

KW - Auxiliary function

KW - Circuit simulation

KW - Homotopy function

KW - Homotopy method

KW - Nonlinear function

UR - http://www.scopus.com/inward/record.url?scp=11144255166&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11144255166&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:11144255166

VL - 2

BT - Midwest Symposium on Circuits and Systems

T2 - The 2004 47th Midwest Symposium on Circuits and Systems - Conference Proceedings

Y2 - 25 July 2004 through 28 July 2004

ER -

An efficient homotopy method for solving transistor circuits

Abstract

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Keywords

ASJC Scopus subject areas

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