An efficient homotopy method for finding DC operating points of nonlinear circuits

Yu Imai, Kiyotaka Yamamura, Yasuaki Inoue

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

    4 Citations (Scopus)

    Abstract

    Finding DC operating points of nonlinear circuits is an important problem in circuit simulation. 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. There are several types of homotopy methods, one of which succeeded in solving bipolar analog circuits with more than 20000 elements with the theoretical guarantee of global convergence. In this paper, we propose an improved version of the homotopy method that can find DC operating points of practical nonlinear circuits smoothly and efficiently. Numerical examples show the effectiveness of the proposed method.

    Original languageEnglish
    Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
    Pages4911-4914
    Number of pages4
    DOIs
    Publication statusPublished - 2005
    EventIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan
    Duration: 2005 May 232005 May 26

    Other

    OtherIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
    CountryJapan
    CityKobe
    Period05/5/2305/5/26

    Fingerprint

    Networks (circuits)
    Circuit simulation
    Analog circuits
    SPICE
    Newton-Raphson method
    Simulators

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

    Cite this

    Imai, Y., Yamamura, K., & Inoue, Y. (2005). An efficient homotopy method for finding DC operating points of nonlinear circuits. In Proceedings - IEEE International Symposium on Circuits and Systems (pp. 4911-4914). [1465734] https://doi.org/10.1109/ISCAS.2005.1465734

    An efficient homotopy method for finding DC operating points of nonlinear circuits. / Imai, Yu; Yamamura, Kiyotaka; Inoue, Yasuaki.

    Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 4911-4914 1465734.

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

    Imai, Y, Yamamura, K & Inoue, Y 2005, An efficient homotopy method for finding DC operating points of nonlinear circuits. in Proceedings - IEEE International Symposium on Circuits and Systems., 1465734, pp. 4911-4914, IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005, Kobe, Japan, 05/5/23. https://doi.org/10.1109/ISCAS.2005.1465734
    Imai Y, Yamamura K, Inoue Y. An efficient homotopy method for finding DC operating points of nonlinear circuits. In Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 4911-4914. 1465734 https://doi.org/10.1109/ISCAS.2005.1465734
    Imai, Yu ; Yamamura, Kiyotaka ; Inoue, Yasuaki. / An efficient homotopy method for finding DC operating points of nonlinear circuits. Proceedings - IEEE International Symposium on Circuits and Systems. 2005. pp. 4911-4914
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