### Abstract

Finding DC operating points of transistor circuits is an important and difficult task. The Newton-Raphson method adopted in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to give an appropriate initial solution as a starting point. However, there are few studies concerning such initial solution algorithms. In this paper, initial solution problems in homotopy methods are discussed, and an effective initial solution algorithm is proposed for globally convergent homotopy methods, which finds DC operating points of transistor circuits efficiently. Numerical examples using practical transistor circuits show the effectiveness of the proposed algorithm.

Original language | English |
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Pages (from-to) | 780-786 |

Number of pages | 7 |

Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |

Volume | E87-A |

Issue number | 4 |

Publication status | Published - 2004 Apr |

### Fingerprint

### Keywords

- Circuit simulation
- Homotopy method
- Initial solution
- Nonlinear circuit
- Unique solution

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Hardware and Architecture
- Information Systems

### Cite this

*IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences*,

*E87-A*(4), 780-786.

**An initial solution algorithm for globally convergent homotopy methods.** / Inoue, Yasuaki; Kusanobu, Saeko; Yamamura, Kiyotaka; Ando, Makoto.

Research output: Contribution to journal › Article

*IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences*, vol. E87-A, no. 4, pp. 780-786.

}

TY - JOUR

T1 - An initial solution algorithm for globally convergent homotopy methods

AU - Inoue, Yasuaki

AU - Kusanobu, Saeko

AU - Yamamura, Kiyotaka

AU - Ando, Makoto

PY - 2004/4

Y1 - 2004/4

N2 - Finding DC operating points of transistor circuits is an important and difficult task. The Newton-Raphson method adopted in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to give an appropriate initial solution as a starting point. However, there are few studies concerning such initial solution algorithms. In this paper, initial solution problems in homotopy methods are discussed, and an effective initial solution algorithm is proposed for globally convergent homotopy methods, which finds DC operating points of transistor circuits efficiently. Numerical examples using practical transistor circuits show the effectiveness of the proposed algorithm.

AB - Finding DC operating points of transistor circuits is an important and difficult task. The Newton-Raphson method adopted in SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. For efficiency of globally convergent homotopy methods, it is important to give an appropriate initial solution as a starting point. However, there are few studies concerning such initial solution algorithms. In this paper, initial solution problems in homotopy methods are discussed, and an effective initial solution algorithm is proposed for globally convergent homotopy methods, which finds DC operating points of transistor circuits efficiently. Numerical examples using practical transistor circuits show the effectiveness of the proposed algorithm.

KW - Circuit simulation

KW - Homotopy method

KW - Initial solution

KW - Nonlinear circuit

KW - Unique solution

UR - http://www.scopus.com/inward/record.url?scp=2342516165&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2342516165&partnerID=8YFLogxK

M3 - Article

VL - E87-A

SP - 780

EP - 786

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 4

ER -