Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace

Nan Duan; Srdjan Simunovic; Aleksandar Dimitrovski; Kai Sun

doi:10.1109/PESGM.2018.8586354

Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace

Nan Duan, Srdjan Simunovic, Aleksandar Dimitrovski, Kai Sun

Multiscale Materials

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

3 Scopus citations

Abstract

The performance of parareal-in-time algorithms is determined on the number of sequential, coarse step iterations. A common tradeoff in designing an efficient parareal-in-time algorithm is between accuracy of the coarse solver and the number of iterations. Traditional parareal implementation for the power system simulation can also have difficulties handling complex power systems. In this paper, we propose a Krylov subspace enhanced parareal algorithm to reduce the number of coarse iterations. The proposed approach is demonstrated on a single-machine-infinite-bus system and the IEEE 10-machine 39-bus system. Noticeable decrease of number of iterations is observed in both cases.

Original language	English
Title of host publication	2018 IEEE Power and Energy Society General Meeting, PESGM 2018
Publisher	IEEE Computer Society
ISBN (Electronic)	9781538677032
DOIs	https://doi.org/10.1109/PESGM.2018.8586354
State	Published - Dec 21 2018
Event	2018 IEEE Power and Energy Society General Meeting, PESGM 2018 - Portland, United States Duration: Aug 5 2018 → Aug 10 2018

Publication series

Name	IEEE Power and Energy Society General Meeting
Volume	2018-August
ISSN (Print)	1944-9925
ISSN (Electronic)	1944-9933

Conference

Conference	2018 IEEE Power and Energy Society General Meeting, PESGM 2018
Country/Territory	United States
City	Portland
Period	08/5/18 → 08/10/18

Keywords

High-performance-computing
Krylov subspace
Numerical method
Parareal-in-time
Power system simulation

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10.1109/PESGM.2018.8586354

Cite this

Duan, N., Simunovic, S., Dimitrovski, A., & Sun, K. (2018). Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace. In 2018 IEEE Power and Energy Society General Meeting, PESGM 2018 Article 8586354 (IEEE Power and Energy Society General Meeting; Vol. 2018-August). IEEE Computer Society. https://doi.org/10.1109/PESGM.2018.8586354

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title = "Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace",

abstract = "The performance of parareal-in-time algorithms is determined on the number of sequential, coarse step iterations. A common tradeoff in designing an efficient parareal-in-time algorithm is between accuracy of the coarse solver and the number of iterations. Traditional parareal implementation for the power system simulation can also have difficulties handling complex power systems. In this paper, we propose a Krylov subspace enhanced parareal algorithm to reduce the number of coarse iterations. The proposed approach is demonstrated on a single-machine-infinite-bus system and the IEEE 10-machine 39-bus system. Noticeable decrease of number of iterations is observed in both cases.",

keywords = "High-performance-computing, Krylov subspace, Numerical method, Parareal-in-time, Power system simulation",

author = "Nan Duan and Srdjan Simunovic and Aleksandar Dimitrovski and Kai Sun",

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year = "2018",

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doi = "10.1109/PESGM.2018.8586354",

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Duan, N, Simunovic, S, Dimitrovski, A & Sun, K 2018, Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace. in 2018 IEEE Power and Energy Society General Meeting, PESGM 2018., 8586354, IEEE Power and Energy Society General Meeting, vol. 2018-August, IEEE Computer Society, 2018 IEEE Power and Energy Society General Meeting, PESGM 2018, Portland, United States, 08/5/18. https://doi.org/10.1109/PESGM.2018.8586354

Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace. / Duan, Nan; Simunovic, Srdjan; Dimitrovski, Aleksandar et al.
2018 IEEE Power and Energy Society General Meeting, PESGM 2018. IEEE Computer Society, 2018. 8586354 (IEEE Power and Energy Society General Meeting; Vol. 2018-August).

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

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AU - Sun, Kai

PY - 2018/12/21

Y1 - 2018/12/21

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AB - The performance of parareal-in-time algorithms is determined on the number of sequential, coarse step iterations. A common tradeoff in designing an efficient parareal-in-time algorithm is between accuracy of the coarse solver and the number of iterations. Traditional parareal implementation for the power system simulation can also have difficulties handling complex power systems. In this paper, we propose a Krylov subspace enhanced parareal algorithm to reduce the number of coarse iterations. The proposed approach is demonstrated on a single-machine-infinite-bus system and the IEEE 10-machine 39-bus system. Noticeable decrease of number of iterations is observed in both cases.

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KW - Numerical method

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Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace

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