A globally convergent and highly efficient homotopy method for MOS transistor circuits

Dan Niu, Zhou Jin, Xiao Wu, Yasuaki Inoue

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

    2 Citations (Scopus)

    Abstract

    Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However, most previous studies are mainly focused on the bipolar transistor circuits. Also the efficiencies of the previous homotopy methods for MOS transistor circuits are not satisfactory. Therefore, finding a more efficient homotopy method for MOS transistor circuits becomes necessary and important. This paper proposes the Newton Fixed-Point homotopy method for MOS transistor circuits and also proposes the embedding algorithm in the implementation. Numerical examples show that the proposed MOS Newton Fixed-Point homotopy methods with two embedding types are more effective for finding DC operating points of MOS transistor circuits than the conventional MOS homotopy methods. Moreover, the global convergence of the proposed Newton Fixed-Point homotopy method for MOS transistor circuits has also been proved.

    Original languageEnglish
    Title of host publicationProceedings - 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012
    Pages1349-1352
    Number of pages4
    Publication statusPublished - 2012
    Event2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012 - Seoul
    Duration: 2012 Dec 32012 Dec 5

    Other

    Other2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012
    CitySeoul
    Period12/12/312/12/5

    Fingerprint

    MOSFET devices
    Networks (circuits)
    Bipolar transistors
    SPICE
    Newton-Raphson method
    Simulators

    ASJC Scopus subject areas

    • Computer Science Applications
    • Software

    Cite this

    Niu, D., Jin, Z., Wu, X., & Inoue, Y. (2012). A globally convergent and highly efficient homotopy method for MOS transistor circuits. In Proceedings - 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012 (pp. 1349-1352). [6530550]

    A globally convergent and highly efficient homotopy method for MOS transistor circuits. / Niu, Dan; Jin, Zhou; Wu, Xiao; Inoue, Yasuaki.

    Proceedings - 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012. 2012. p. 1349-1352 6530550.

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

    Niu, D, Jin, Z, Wu, X & Inoue, Y 2012, A globally convergent and highly efficient homotopy method for MOS transistor circuits. in Proceedings - 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012., 6530550, pp. 1349-1352, 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012, Seoul, 12/12/3.
    Niu D, Jin Z, Wu X, Inoue Y. A globally convergent and highly efficient homotopy method for MOS transistor circuits. In Proceedings - 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012. 2012. p. 1349-1352. 6530550
    Niu, Dan ; Jin, Zhou ; Wu, Xiao ; Inoue, Yasuaki. / A globally convergent and highly efficient homotopy method for MOS transistor circuits. Proceedings - 2012 7th International Conference on Computing and Convergence Technology (ICCIT, ICEI and ICACT), ICCCT 2012. 2012. pp. 1349-1352
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    abstract = "Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However, most previous studies are mainly focused on the bipolar transistor circuits. Also the efficiencies of the previous homotopy methods for MOS transistor circuits are not satisfactory. Therefore, finding a more efficient homotopy method for MOS transistor circuits becomes necessary and important. This paper proposes the Newton Fixed-Point homotopy method for MOS transistor circuits and also proposes the embedding algorithm in the implementation. Numerical examples show that the proposed MOS Newton Fixed-Point homotopy methods with two embedding types are more effective for finding DC operating points of MOS transistor circuits than the conventional MOS homotopy methods. Moreover, the global convergence of the proposed Newton Fixed-Point homotopy method for MOS transistor circuits has also been proved.",
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