Presentation 2018-10-19
An efficient variable-gain homotopy method for finding DC operating points of transistor circuits
Kiyotaka Yamamura, Takumi Shimada,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) 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 where a more effective linear function is used in the homotopy function. By numerical examples, it is shown that the proposed method is more efficient than the conventional VGH method. It is also shown that the proposed method is globally convergent for modified nodal equations and can be implemented in SPICE easily without writing complicated programs.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) circuit simulation / DC operating point analysis / nonlinear circuit / non-convergence problem / homotopy method
Paper # CAS2018-51,NLP2018-86
Date of Issue 2018-10-11 (CAS, NLP)

Conference Information
Committee CAS / NLP
Conference Date 2018/10/18(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Tohoku Univ.
Topics (in Japanese) (See Japanese page)
Topics (in English) Mathematical modeling, numerical simulation etc.
Chair Hideaki Okazaki(Shonan Inst. of Tech.) / Norikazu Takahashi(Okayama Univ.)
Vice Chair Taizo Yamawaki(Hitachi) / Hiroaki Kurokawa(Tokyo Univ. of Tech.)
Secretary Taizo Yamawaki(Shonan Inst. of Tech.) / Hiroaki Kurokawa(Hitachi)
Assistant Motoi Yamaguchi(Renesas Electronics) / Masayuki Kimura(Kyoto Univ.) / Yutaka Shimada(Saitama Univ.)

Paper Information
Registration To Technical Committee on Circuits and Systems / Technical Committee on Nonlinear Problems
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An efficient variable-gain homotopy method for finding DC operating points of transistor circuits
Sub Title (in English)
Keyword(1) circuit simulation
Keyword(2) DC operating point analysis
Keyword(3) nonlinear circuit
Keyword(4) non-convergence problem
Keyword(5) homotopy method
1st Author's Name Kiyotaka Yamamura
1st Author's Affiliation Chuo University(Chuo Univ.)
2nd Author's Name Takumi Shimada
2nd Author's Affiliation Chuo University(Chuo Univ.)
Date 2018-10-19
Paper # CAS2018-51,NLP2018-86
Volume (vol) vol.118
Number (no) CAS-242,NLP-243
Page pp.pp.75-79(CAS), pp.75-79(NLP),
#Pages 5
Date of Issue 2018-10-11 (CAS, NLP)