Journal article · Ahead of Print article
A Memory-Efficient Parallelizable Method for Computation of Thévenin Equivalents used in Real-Time Stability Assessment
Department of Electrical Engineering, Technical University of Denmark1
Center for Electric Power and Energy, Centers, Technical University of Denmark2
Electric Power Systems, Center for Electric Power and Energy, Centers, Technical University of Denmark3
Smart Electric Components, Center for Electric Power and Energy, Centers, Technical University of Denmark4
University of Copenhagen5
This paper introduces a factor-solve method, which efficiently computes Thevenin equivalents for all buses in the power system. A range of real-time stability assessment methods rely on Thevenin equivalents, and it is therefore essential that these can be determined fast and efficiently. The factor-solve method has runtime for computing Thevenin voltage that scales linearly with system size resulting in runtime of only a few milliseconds even for systems with several thousand buses.
The computations only need the sparse admittance matrix for the power system and a sparse factorization resulting in low memory requirements, and furthermore Thevenin impedances can be determined in parallel. The factor-solve method is compared to a reference method, which uses coefficients for super-position to determine the Thevenin equivalents.
The reference method is shown to have dissatisfying runtime and complexity. The factorsolve method is tested, parallelized and analysed, which shows a considerable speed-up in computations of Thevenin equivalents enabling them to be computed in real-time.
Language: | English |
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Publisher: | IEEE |
Year: | 2019 |
Pages: | 2675-2684 |
ISSN: | 08858950 and 15580679 |
Types: | Journal article and Ahead of Print article |
DOI: | 10.1109/TPWRS.2019.2900560 |
ORCIDs: | Jørgensen, Christina Hildebrandt Lüthje , Møller, Jakob Glarbo , Jóhannsson, Hjörtur and 0000-0001-6784-0328 |