A nonlinear homotopy method for solving transistor circuits

Yasuaki Inoue, Yu Imai, Makoto Ando, Kiyotaka Yamamura

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    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 globally convergent 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 using some nonlinear auxiliary function is proposed. The proposed method utilizes a nonlinear function closely related to circuit equations to be solved, so that it efficiently finds DC operating points of practical transistor circuits. Numerical examples slum the effectiveness of the proposed algorithm.

    Original languageEnglish
    Title of host publication2004 International Conference on Communications, Circuits and Systems
    Pages1354-1357
    Number of pages4
    Volume2
    Publication statusPublished - 2004
    Event2004 International Conference on Communications, Circuits and Systems - Chengdu
    Duration: 2004 Jun 272004 Jun 29

    Other

    Other2004 International Conference on Communications, Circuits and Systems
    CityChengdu
    Period04/6/2704/6/29

    Fingerprint

    Transistors
    Networks (circuits)
    SPICE
    Newton-Raphson method
    Simulators

    Keywords

    • Auxiliary function
    • Circuit simulation
    • Homotopy function
    • Homotopy method
    • Nonlinear function

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    Inoue, Y., Imai, Y., Ando, M., & Yamamura, K. (2004). A nonlinear homotopy method for solving transistor circuits. In 2004 International Conference on Communications, Circuits and Systems (Vol. 2, pp. 1354-1357)

    A nonlinear homotopy method for solving transistor circuits. / Inoue, Yasuaki; Imai, Yu; Ando, Makoto; Yamamura, Kiyotaka.

    2004 International Conference on Communications, Circuits and Systems. Vol. 2 2004. p. 1354-1357.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Inoue, Y, Imai, Y, Ando, M & Yamamura, K 2004, A nonlinear homotopy method for solving transistor circuits. in 2004 International Conference on Communications, Circuits and Systems. vol. 2, pp. 1354-1357, 2004 International Conference on Communications, Circuits and Systems, Chengdu, 04/6/27.
    Inoue Y, Imai Y, Ando M, Yamamura K. A nonlinear homotopy method for solving transistor circuits. In 2004 International Conference on Communications, Circuits and Systems. Vol. 2. 2004. p. 1354-1357
    Inoue, Yasuaki ; Imai, Yu ; Ando, Makoto ; Yamamura, Kiyotaka. / A nonlinear homotopy method for solving transistor circuits. 2004 International Conference on Communications, Circuits and Systems. Vol. 2 2004. pp. 1354-1357
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