The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
비선형 회로의 DC 작동점을 찾는 것은 중요하고 어려운 작업입니다. SPICE와 유사한 시뮬레이터에 사용된 Newton-Raphson 방법은 종종 솔루션으로 수렴되지 않습니다. 이러한 수렴 문제를 극복하기 위해 다양한 관점에서 호모토피 방법이 연구되어 왔다. 고정점 호모토피 방법은 우수한 방법 중 하나입니다. 그러나 구현의 관점에서 볼 때, 많은 회로 설계자들이 이 방법을 쉽고 널리 사용할 수 있도록 더 연구하는 것이 중요하다. 본 논문에서는 고정소수점 호모토피 방법을 구현하기 위한 실용적인 방법을 제시합니다. 특수 회로라고 불리는 솔루션 추적 회로 고정 소수점 호모토피 방법이 제안되었습니다. 이 회로를 사용하면 SPICE 과도 해석을 수행하여 호모토피 방정식의 해 곡선을 추적할 수 있습니다. 따라서 기존 프로그램을 수정할 필요가 없습니다. 또한, 제안한 방법이 전역적으로 수렴됨을 입증하였다. 수치적 예는 제안된 기법이 효과적이며 쉽게 구현될 수 있음을 보여줍니다. 제안된 기법을 통해 많은 SPICE 사용자들은 고정소수점 호모토피 방법을 쉽게 구현할 수 있다.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
부
Yasuaki INOUE, Saeko KUSANOBU, Kiyotaka YAMAMURA, "A Practical Approach for the Fixed-Point Homotopy Method Using a Solution-Tracing Circuit" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 1, pp. 222-233, January 2002, doi: .
Abstract: Finding DC operating-points of nonlinear circuits is an important and difficult task. The Newton-Raphson method employed in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. The fixed-point homotopy method is one of the excellent methods. However, from the viewpoint of implementation, it is important to study it further so that the method can be easily and widely used by many circuit designers. This paper presents a practical method to implement the fixed-point homotopy method. A special circuit called the solution-tracing circuit for the fixed-point homotopy method is proposed. By using this circuit, the solution curves of homotopy equations can be traced by performing the SPICE transient analysis. Therefore, no modification to the existing programs is necessary. Moreover, it is proved that the proposed method is globally convergent. Numerical examples show that the proposed technique is effective and can be easily implemented. By the proposed technique, many SPICE users can easily implement the fixed-point homotopy method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_1_222/_p
부
@ARTICLE{e85-a_1_222,
author={Yasuaki INOUE, Saeko KUSANOBU, Kiyotaka YAMAMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Practical Approach for the Fixed-Point Homotopy Method Using a Solution-Tracing Circuit},
year={2002},
volume={E85-A},
number={1},
pages={222-233},
abstract={Finding DC operating-points of nonlinear circuits is an important and difficult task. The Newton-Raphson method employed in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. The fixed-point homotopy method is one of the excellent methods. However, from the viewpoint of implementation, it is important to study it further so that the method can be easily and widely used by many circuit designers. This paper presents a practical method to implement the fixed-point homotopy method. A special circuit called the solution-tracing circuit for the fixed-point homotopy method is proposed. By using this circuit, the solution curves of homotopy equations can be traced by performing the SPICE transient analysis. Therefore, no modification to the existing programs is necessary. Moreover, it is proved that the proposed method is globally convergent. Numerical examples show that the proposed technique is effective and can be easily implemented. By the proposed technique, many SPICE users can easily implement the fixed-point homotopy method.},
keywords={},
doi={},
ISSN={},
month={January},}
부
TY - JOUR
TI - A Practical Approach for the Fixed-Point Homotopy Method Using a Solution-Tracing Circuit
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 222
EP - 233
AU - Yasuaki INOUE
AU - Saeko KUSANOBU
AU - Kiyotaka YAMAMURA
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2002
AB - Finding DC operating-points of nonlinear circuits is an important and difficult task. The Newton-Raphson method employed in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. The fixed-point homotopy method is one of the excellent methods. However, from the viewpoint of implementation, it is important to study it further so that the method can be easily and widely used by many circuit designers. This paper presents a practical method to implement the fixed-point homotopy method. A special circuit called the solution-tracing circuit for the fixed-point homotopy method is proposed. By using this circuit, the solution curves of homotopy equations can be traced by performing the SPICE transient analysis. Therefore, no modification to the existing programs is necessary. Moreover, it is proved that the proposed method is globally convergent. Numerical examples show that the proposed technique is effective and can be easily implemented. By the proposed technique, many SPICE users can easily implement the fixed-point homotopy method.
ER -