### Abstract

Original language | English |
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Title of host publication | Proceedings of 2018 Power Systems Computation Conference |

Number of pages | 7 |

Publisher | IEEE |

Publication date | 2018 |

Pages | 7 pp. |

ISBN (Print) | 9781910963104 |

DOIs | |

Publication status | Published - 2018 |

Event | 20th Power Systems Computation Conference - O’Brien Centre for Science at University College Dublin, Dublin, Ireland Duration: 11 Jun 2018 → 15 Jun 2018 Conference number: 20 http://www.pscc2018.net/index.html |

### Conference

Conference | 20th Power Systems Computation Conference |
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Number | 20 |

Location | O’Brien Centre for Science at University College Dublin |

Country | Ireland |

City | Dublin |

Period | 11/06/2018 → 15/06/2018 |

Internet address |

### Keywords

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

### Cite this

*Proceedings of 2018 Power Systems Computation Conference*(pp. 7 pp.). IEEE. https://doi.org/10.23919/PSCC.2018.8442893

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*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.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

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

AU - Hildebrandt, Christina

AU - Karatas, Bahtiyar Can

AU - Glarbo Muller, Jakob

AU - Johannsson, Hjortur

PY - 2018

Y1 - 2018

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.

KW - Power system analysis computing

KW - Real-time assessment

KW - Thevenin equivalent

KW - Wide-area monitoring

KW - Power system stability indicators

U2 - 10.23919/PSCC.2018.8442893

DO - 10.23919/PSCC.2018.8442893

M3 - Article in proceedings

SN - 9781910963104

SP - 7 pp.

BT - Proceedings of 2018 Power Systems Computation Conference

PB - IEEE

ER -