DC Operating Point Analysis of Transistor Circuits Using the Variable-Gain Homotopy Method
Summary :
Homotopy methods are known to be effective methods for finding DC operating points of nonlinear circuits with the theoretical guarantee of global convergence. There are several types of homotopy methods; as one of the most efficient methods for solving bipolar transistor circuits, the variable-gain homotopy (VGH) method is well-known. In this paper, we propose an efficient VGH method for solving bipolar and MOS transistor circuits. We also show that the proposed method converges to a stable operating point with high possibility from any initial point. The proposed method is not only globally convergent but also more efficient than the conventional VGH methods. Moreover, it can easily be implemented in SPICE.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.5 pp.1042-1050
- Publication Date
- 2014/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.1042
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Kiyotaka YAMAMURA
Chuo University
Takuya MIYAMOTO
Chuo University
Keyword
Latest Issue
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Kiyotaka YAMAMURA, Takuya MIYAMOTO, "DC Operating Point Analysis of Transistor Circuits Using the Variable-Gain Homotopy Method" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 5, pp. 1042-1050, May 2014, doi: 10.1587/transfun.E97.A.1042.
Abstract: Homotopy methods are known to be effective methods for finding DC operating points of nonlinear circuits with the theoretical guarantee of global convergence. There are several types of homotopy methods; as one of the most efficient methods for solving bipolar transistor circuits, the variable-gain homotopy (VGH) method is well-known. In this paper, we propose an efficient VGH method for solving bipolar and MOS transistor circuits. We also show that the proposed method converges to a stable operating point with high possibility from any initial point. The proposed method is not only globally convergent but also more efficient than the conventional VGH methods. Moreover, it can easily be implemented in SPICE.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1042/_p
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@ARTICLE{e97-a_5_1042,
author={Kiyotaka YAMAMURA, Takuya MIYAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={DC Operating Point Analysis of Transistor Circuits Using the Variable-Gain Homotopy Method},
year={2014},
volume={E97-A},
number={5},
pages={1042-1050},
abstract={Homotopy methods are known to be effective methods for finding DC operating points of nonlinear circuits with the theoretical guarantee of global convergence. There are several types of homotopy methods; as one of the most efficient methods for solving bipolar transistor circuits, the variable-gain homotopy (VGH) method is well-known. In this paper, we propose an efficient VGH method for solving bipolar and MOS transistor circuits. We also show that the proposed method converges to a stable operating point with high possibility from any initial point. The proposed method is not only globally convergent but also more efficient than the conventional VGH methods. Moreover, it can easily be implemented in SPICE.},
keywords={},
doi={10.1587/transfun.E97.A.1042},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - DC Operating Point Analysis of Transistor Circuits Using the Variable-Gain Homotopy Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1042
EP - 1050
AU - Kiyotaka YAMAMURA
AU - Takuya MIYAMOTO
PY - 2014
DO - 10.1587/transfun.E97.A.1042
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2014
AB - Homotopy methods are known to be effective methods for finding DC operating points of nonlinear circuits with the theoretical guarantee of global convergence. There are several types of homotopy methods; as one of the most efficient methods for solving bipolar transistor circuits, the variable-gain homotopy (VGH) method is well-known. In this paper, we propose an efficient VGH method for solving bipolar and MOS transistor circuits. We also show that the proposed method converges to a stable operating point with high possibility from any initial point. The proposed method is not only globally convergent but also more efficient than the conventional VGH methods. Moreover, it can easily be implemented in SPICE.
ER -
English
