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

Yu Imai; Kiyotaka Yamamura; Yasuaki Inoue

doi:10.1109/ISCAS.2005.1465734

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

4 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
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
Pages	4911-4914
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2005.1465734
Publication status	Published - 2005
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 2005 May 23 → 2005 May 26

Other

Other	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
Country/Territory	Japan
City	Kobe
Period	05/5/23 → 05/5/26

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ISCAS.2005.1465734

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title = "An efficient homotopy method for finding DC operating points of nonlinear circuits",

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.",

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doi = "10.1109/ISCAS.2005.1465734",

language = "English",

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note = "IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 ; Conference date: 23-05-2005 Through 26-05-2005",

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AU - Imai, Yu

AU - Yamamura, Kiyotaka

AU - Inoue, Yasuaki

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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.

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M3 - Conference contribution

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BT - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

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

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