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

Jakob Glarbo Møller; Hjörtur Jóhannsson; Jacob Østergaard

doi:10.1109/PESGM.2018.8585962

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
Title of host publication	Proceedings of the 2018 IEEE PES General Meeting
Publisher	IEEE
Publication date	2018
ISBN (Print)	9781538677032
DOIs	https://doi.org/10.1109/PESGM.2018.8585962
Publication status	Published - 2018
Event	2018 IEEE PES General Meeting - Oregon Convention Center, Portland, United States Duration: 5 Aug 2018 → 9 Aug 2018

Conference

Conference	2018 IEEE PES General Meeting
Location	Oregon Convention Center
Country	United States
City	Portland
Period	05/08/2018 → 09/08/2018

Access to Document

10.1109/PESGM.2018.8585962

PESGM2018 000474Accepted author manuscript, 35.4 KB

Cite this

Møller, J. G., Jóhannsson, H., & Østergaard, J. (2018). Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents. In Proceedings of the 2018 IEEE PES General Meeting IEEE. https://doi.org/10.1109/PESGM.2018.8585962

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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{\textquoteright}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 Th{\'e}venin equivalent representation such as the Th{\'e}venin equivalent method for contingency assessment. ",

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AB - 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.

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