A homotopy method using a nonlinear auxiliary function for solving transistor circuits

Yasuaki Inoue, Yu Imai, Kiyotaka Yamamura

    研究成果: Article査読

    15 被引用数 (Scopus)

    抄録

    Finding DC operating points of transistor circuits is a very important and difficult task. 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. For efficiency of homotopy methods, it is important to construct an appropriate homotopy function. In conventional homotopy methods, linear auxiliary functions have been commonly used. In this paper, a homotopy method for solving transistor circuits using a nonlinear auxiliary function is proposed. The proposed method utilizes the nonlinear function closely related to circuit equations to be solved, so that it efficiently finds DC operating points of practical transistor circuits. Numerical examples show that the proposed method is several times more efficient than conventional three homotopy methods.

    本文言語English
    ページ(範囲)1401-1408
    ページ数8
    ジャーナルIEICE Transactions on Information and Systems
    E88-D
    7
    DOI
    出版ステータスPublished - 2005 7

    ASJC Scopus subject areas

    • 情報システム
    • コンピュータ グラフィックスおよびコンピュータ支援設計
    • ソフトウェア

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