Numerical integration methods in long-term dynamic calculations

Hiroshi Yokoyama, Shinichi Iwamoto

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    This paper compares the Runge-Kutta, Adams-Bashforth, Adams-Molten, and Gear numerical integration methods with each other. These methods are abbreviated as R-K, A-B, A-M and Gear methods, respectively. They are applied first to analyze a simple linear system of the analytical solutions of which are known. Afterward, they are used for the analysis of power systems. In this study, the explicit methods (R-K and A-B methods) are combined with the alternate solution method, and the implicit methods (A-M and Gear methods) are combined with the simultaneous solution method. Since the Newton-Raphson method is used as the simultaneous solution method, it becomes difficult to set the initial values. This difficulty is overcome using the decoupled Jacobian matrix.

    Original languageEnglish
    Pages (from-to)19-30
    Number of pages12
    JournalElectrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)
    Volume110
    Issue number5
    Publication statusPublished - 1990

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    Gears
    Jacobian matrices
    Newton-Raphson method
    Linear systems
    Molten materials

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

    Cite this

    Numerical integration methods in long-term dynamic calculations. / Yokoyama, Hiroshi; Iwamoto, Shinichi.

    In: Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi), Vol. 110, No. 5, 1990, p. 19-30.

    Research output: Contribution to journalArticle

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