Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents

Jakob Glarbo Møller, Hjörtur Jóhannsson, Jacob Østergaard

    Research output: Contribution to journalJournal articleResearchpeer-review

    501 Downloads (Pure)


    A method for superimposing voltage sources is sought optimized by using a sparse triangular solver and multiprocessing. A revision to the method is suggested which exploits Schur’s complement of the network admittance matrix and optimal re-use of computations. The algorithm is implemented and parallelized for shared memory multiprocessing. The proposed algorithm is tested on a collection of large test systems and performance is found to be significantly better than the reference method. The algorithm will thereby facilitate a speed-up of methods relying on Thévenin equivalent representation such as the Thévenin equivalent method for contingency assessment.
    Original languageEnglish
    JournalIEEE Transactions on Smart Grid
    Issue number3
    Pages (from-to)1488-1493
    Publication statusPublished - 2017

    Bibliographical note

    (c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.


    • Algorithms
    • Power system analysis computing
    • Thévenin equivalent


    Dive into the research topics of 'Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents'. Together they form a unique fingerprint.

    Cite this