Evaluation of Factorization Methods for Thévenin Equivalent Computations in Real-Time Stability Assessment

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Abstract

Thevenin equivalents are used by a range of power system stability indicators, such as the L-index for voltage stability and the aperiodic small signal rotor angle stability indicator. This paper investigates the effect of using different factorization methods for computing coefficients for wide-area Thevenin equivalents. Direct and incomplete factorization methods are compared with respect to runtime, accuracy and amount of fill-in. The paper introduces a proof that the block triangular form of bus admittance matrices will have no non-zero entries in the off-diagonal. KLU factorization is found to perform almost twice as fast as the standard LU factorization with no cost of accuracy. It is, however, shown that the largest computational workload is associated with dense matrix multiplications. An incomplete method reduces the fill-in of coefficient matrices at the cost of accuracy in Thevenin voltages. It is shown, that inaccuracies are amplified as the L-index approaches the stability limit.
Original languageEnglish
Title of host publicationProceedings of 2018 Power Systems Computation Conference
Number of pages7
PublisherIEEE
Publication date2018
Pages7 pp.
ISBN (Print)9781910963104
DOIs
Publication statusPublished - 2018
Event20th Power Systems Computation Conference - O’Brien Centre for Science at University College Dublin, Dublin, Ireland
Duration: 11 Jun 201815 Jun 2018
Conference number: 20
http://www.pscc2018.net/index.html

Conference

Conference20th Power Systems Computation Conference
Number20
LocationO’Brien Centre for Science at University College Dublin
CountryIreland
CityDublin
Period11/06/201815/06/2018
Internet address

Keywords

  • Power system analysis computing
  • Real-time assessment
  • Thevenin equivalent
  • Wide-area monitoring
  • Power system stability indicators

Cite this

@inproceedings{1138a9654dd24452860ff08f9cb300e7,
title = "Evaluation of Factorization Methods for Thévenin Equivalent Computations in Real-Time Stability Assessment",
abstract = "Thevenin equivalents are used by a range of power system stability indicators, such as the L-index for voltage stability and the aperiodic small signal rotor angle stability indicator. This paper investigates the effect of using different factorization methods for computing coefficients for wide-area Thevenin equivalents. Direct and incomplete factorization methods are compared with respect to runtime, accuracy and amount of fill-in. The paper introduces a proof that the block triangular form of bus admittance matrices will have no non-zero entries in the off-diagonal. KLU factorization is found to perform almost twice as fast as the standard LU factorization with no cost of accuracy. It is, however, shown that the largest computational workload is associated with dense matrix multiplications. An incomplete method reduces the fill-in of coefficient matrices at the cost of accuracy in Thevenin voltages. It is shown, that inaccuracies are amplified as the L-index approaches the stability limit.",
keywords = "Power system analysis computing, Real-time assessment, Thevenin equivalent, Wide-area monitoring, Power system stability indicators",
author = "Christina Hildebrandt and Karatas, {Bahtiyar Can} and {Glarbo Muller}, Jakob and Hjortur Johannsson",
year = "2018",
doi = "10.23919/PSCC.2018.8442893",
language = "English",
isbn = "9781910963104",
pages = "7 pp.",
booktitle = "Proceedings of 2018 Power Systems Computation Conference",
publisher = "IEEE",
address = "United States",

}

Hildebrandt, C, Karatas, BC, Glarbo Muller, J & Johannsson, H 2018, Evaluation of Factorization Methods for Thévenin Equivalent Computations in Real-Time Stability Assessment. in Proceedings of 2018 Power Systems Computation Conference. IEEE, pp. 7 pp., 20th Power Systems Computation Conference, Dublin, Ireland, 11/06/2018. https://doi.org/10.23919/PSCC.2018.8442893

Evaluation of Factorization Methods for Thévenin Equivalent Computations in Real-Time Stability Assessment. / Hildebrandt, Christina; Karatas, Bahtiyar Can; Glarbo Muller, Jakob; Johannsson, Hjortur.

Proceedings of 2018 Power Systems Computation Conference. IEEE, 2018. p. 7 pp.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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T1 - Evaluation of Factorization Methods for Thévenin Equivalent Computations in Real-Time Stability Assessment

AU - Hildebrandt, Christina

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N2 - Thevenin equivalents are used by a range of power system stability indicators, such as the L-index for voltage stability and the aperiodic small signal rotor angle stability indicator. This paper investigates the effect of using different factorization methods for computing coefficients for wide-area Thevenin equivalents. Direct and incomplete factorization methods are compared with respect to runtime, accuracy and amount of fill-in. The paper introduces a proof that the block triangular form of bus admittance matrices will have no non-zero entries in the off-diagonal. KLU factorization is found to perform almost twice as fast as the standard LU factorization with no cost of accuracy. It is, however, shown that the largest computational workload is associated with dense matrix multiplications. An incomplete method reduces the fill-in of coefficient matrices at the cost of accuracy in Thevenin voltages. It is shown, that inaccuracies are amplified as the L-index approaches the stability limit.

AB - Thevenin equivalents are used by a range of power system stability indicators, such as the L-index for voltage stability and the aperiodic small signal rotor angle stability indicator. This paper investigates the effect of using different factorization methods for computing coefficients for wide-area Thevenin equivalents. Direct and incomplete factorization methods are compared with respect to runtime, accuracy and amount of fill-in. The paper introduces a proof that the block triangular form of bus admittance matrices will have no non-zero entries in the off-diagonal. KLU factorization is found to perform almost twice as fast as the standard LU factorization with no cost of accuracy. It is, however, shown that the largest computational workload is associated with dense matrix multiplications. An incomplete method reduces the fill-in of coefficient matrices at the cost of accuracy in Thevenin voltages. It is shown, that inaccuracies are amplified as the L-index approaches the stability limit.

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KW - Wide-area monitoring

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