research-article

Evaluation of overlapping restricted additive schwarz preconditioning for parallel solution of very large power flow problems

Authors:

Shrirang Abhyankar,

Emil ConstantinescuAuthors Info & Claims

HiPCNA-PG '13: Proceedings of the 3rd International Workshop on High Performance Computing, Networking and Analytics for the Power Grid

Article No.: 5, Pages 1 - 8

https://doi.org/10.1145/2536780.2536784

Published: 17 November 2013 Publication History

Abstract

The computational bottleneck for large nonlinear AC power flow problems using Newton's method is the solution of the linear system at each iteration. We present a parallel linear solution scheme using the Krylov subspace-based iterative solver GMRES preconditioned with overlapping restricted additive Schwarz method (RASM) that shows promising speedup for this linear system solution. This paper evaluates the performance of RASM with different amounts of overlap and presents its scalability and convergence behavior for three large power flow problems consisting of 22,996, 51,741, and 91,984 buses respectively.

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Cited By

Gong SKok JCobben J(2025)Rapid Feasibility Assessment of Energy Unit Integration in Distribution NetworksIEEE Transactions on Power Systems10.1109/TPWRS.2024.345304340:2(1868-1879)Online publication date: Mar-2025
https://doi.org/10.1109/TPWRS.2024.3453043
Sundermann RAbhyankar SZhang HKimn JHansen T(2022)Parallel primal‐dual interior point method for the solution of dynamic optimal power flowIET Generation, Transmission & Distribution10.1049/gtd2.1270817:4(811-820)Online publication date: 30-Dec-2022
https://doi.org/10.1049/gtd2.12708
Lee BPereira Batista E(2020)Algebraic multigrid for the nonlinear powerflow equationsNumerical Linear Algebra with Applications10.1002/nla.234728:2Online publication date: 9-Nov-2020
https://doi.org/10.1002/nla.2347
Show More Cited By

Index Terms

Evaluation of overlapping restricted additive schwarz preconditioning for parallel solution of very large power flow problems
1. Applied computing
  1. Physical sciences and engineering
    1. Engineering
2. Computing methodologies
  1. Modeling and simulation

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cover image ACM Conferences

HiPCNA-PG '13: Proceedings of the 3rd International Workshop on High Performance Computing, Networking and Analytics for the Power Grid

November 2013

49 pages

ISBN:9781450325103

DOI:10.1145/2536780

Copyright © 2013 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 17 November 2013

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SC13: International Conference for High Performance Computing, Networking, Storage and Analysis

November 17 - 22, 2013

Colorado, Denver

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HiPCNA-PG '13 Paper Acceptance Rate 5 of 7 submissions, 71%;

Overall Acceptance Rate 15 of 17 submissions, 88%

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Cited By

Gong SKok JCobben J(2025)Rapid Feasibility Assessment of Energy Unit Integration in Distribution NetworksIEEE Transactions on Power Systems10.1109/TPWRS.2024.345304340:2(1868-1879)Online publication date: Mar-2025
https://doi.org/10.1109/TPWRS.2024.3453043
Sundermann RAbhyankar SZhang HKimn JHansen T(2022)Parallel primal‐dual interior point method for the solution of dynamic optimal power flowIET Generation, Transmission & Distribution10.1049/gtd2.1270817:4(811-820)Online publication date: 30-Dec-2022
https://doi.org/10.1049/gtd2.12708
Lee BPereira Batista E(2020)Algebraic multigrid for the nonlinear powerflow equationsNumerical Linear Algebra with Applications10.1002/nla.234728:2Online publication date: 9-Nov-2020
https://doi.org/10.1002/nla.2347
Schroder JFalgout RWoodward CTop PLecouvez M(2018)Parallel-in-Time Solution of Power Systems with Scheduled Events2018 IEEE Power & Energy Society General Meeting (PESGM)10.1109/PESGM.2018.8586435(1-5)Online publication date: Aug-2018
https://doi.org/10.1109/PESGM.2018.8586435
Abhyankar SConstantinescu ESmith BFlueck AMaldonado D(2017)Parallel Dynamics Simulation Using a Krylov-Schwarz Linear Solution SchemeIEEE Transactions on Smart Grid10.1109/TSG.2016.26108638:3(1378-1386)Online publication date: May-2017
https://doi.org/10.1109/TSG.2016.2610863

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