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

Jakob Glarbo Møller; Hjörtur Jóhannsson; Jacob Østergaard

doi:10.1109/TSG.2016.2639559

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

Jakob Glarbo Møller, Hjörtur Jóhannsson, Jacob Østergaard

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Abstract

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 language	English
Journal	IEEE Transactions on Smart Grid
Volume	8
Issue number	3
Pages (from-to)	1488-1493
ISSN	1949-3053
DOIs	https://doi.org/10.1109/TSG.2016.2639559
Publication status	Published - 2017

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(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.

Keywords

Algorithms
Power system analysis computing
Thévenin equivalent

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10.1109/TSG.2016.2639559

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title = "Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Th{\'e}venin Equivalents",

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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.",

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N1 - (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.

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

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