research-article

Parallel multigrid preconditioning on graphics processing units (GPUs) for robust power grid analysis

Authors:

Zhuo Feng,

Zhiyu ZengAuthors Info & Claims

DAC '10: Proceedings of the 47th Design Automation Conference

Pages 661 - 666

https://doi.org/10.1145/1837274.1837443

Published: 13 June 2010 Publication History

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Abstract

Leveraging the power of nowadays graphics processing units for robust power grid simulation remains a challenging task. Existing preconditioned iterative methods that require incomplete matrix factorizations can not be effectively accelerated on GPU due to its limited hardware resource as well as data parallel computing. This work presents an efficient GPU-based multigrid preconditioning algorithm for robust power grid analysis. An ELL-like sparse matrix data structure is adopted and implemented specifically for power grid analysis to assure coalesced GPU device memory access and high arithmetic intensity. By combining the fast geometrical multigrid solver with the robust Krylov-subspace iterative solver, power grid DC and transient analysis can be performed efficiently on GPU without loss of accuracy (largest errors < 0.5 mV). Unlike previous GPU-based algorithms that rely on good power grid regularities, the proposed algorithm can be applied for more general power grid structures. Experimental results show that the DC and transient analysis on GPU achieves more than 25X speedups over the best available CPU-based solvers. An industrial power grid with 10.5 million nodes can be accurately solved in 12 seconds.

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Bairamkulov RFriedman EBairamkulov RFriedman E(2022)Circuit analysisGraphs in VLSI10.1007/978-3-031-11047-4_5(149-176)Online publication date: 30-Jun-2022
https://doi.org/10.1007/978-3-031-11047-4_5
Yamagishi TMatsumura Y(2016)GPU Acceleration of a Non-hydrostatic Ocean Model with a Multigrid Poisson/Helmholtz solverProcedia Computer Science10.1016/j.procs.2016.05.50280:C(1658-1669)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.1016/j.procs.2016.05.502
Liu XYu HTan S(2015)A GPU-Accelerated Parallel Shooting Algorithm for Analysis of Radio Frequency and Microwave Integrated CircuitsIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2014.230960623:3(480-492)Online publication date: Mar-2015
https://doi.org/10.1109/TVLSI.2014.2309606
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Index Terms

Parallel multigrid preconditioning on graphics processing units (GPUs) for robust power grid analysis
1. Hardware
  1. Hardware validation
    1. Functional verification
      1. Simulation and emulation

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Published In

DAC '10: Proceedings of the 47th Design Automation Conference

June 2010

1036 pages

ISBN:9781450300025

DOI:10.1145/1837274

General Chair:
Sachin Sapatnekar
Univ. of Minnesota, Minneapolis, MN

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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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 13 June 2010

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DAC '10

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EDAC
SIGDA

DAC '10: The 47th Annual Design Automation Conference 2010

June 13 - 18, 2010

California, Anaheim

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Overall Acceptance Rate 1,770 of 5,499 submissions, 32%

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Cited By

View all

Bairamkulov RFriedman EBairamkulov RFriedman E(2022)Circuit analysisGraphs in VLSI10.1007/978-3-031-11047-4_5(149-176)Online publication date: 30-Jun-2022
https://doi.org/10.1007/978-3-031-11047-4_5
Yamagishi TMatsumura Y(2016)GPU Acceleration of a Non-hydrostatic Ocean Model with a Multigrid Poisson/Helmholtz solverProcedia Computer Science10.1016/j.procs.2016.05.50280:C(1658-1669)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.1016/j.procs.2016.05.502
Liu XYu HTan S(2015)A GPU-Accelerated Parallel Shooting Algorithm for Analysis of Radio Frequency and Microwave Integrated CircuitsIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2014.230960623:3(480-492)Online publication date: Mar-2015
https://doi.org/10.1109/TVLSI.2014.2309606
Zhao XHan LFeng Z(2015)A Performance-Guided Graph Sparsification Approach to Scalable and Robust SPICE-Accurate Integrated Circuit SimulationsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2015.242495834:10(1639-1651)Online publication date: Oct-2015
https://doi.org/10.1109/TCAD.2015.2424958
Zhu HWang YLiu FLi XZeng XFeldmann P(2015)Efficient Transient Analysis of Power Delivery Network With Clock/Power Gating by Sparse ApproximationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2015.239125634:3(409-421)Online publication date: Mar-2015
https://doi.org/10.1109/TCAD.2015.2391256
Zhu YTan S(2015)GPU-accelerated parallel Monte Carlo analysis of analog circuits by hierarchical graph-based solverThe 20th Asia and South Pacific Design Automation Conference10.1109/ASPDAC.2015.7059095(719-724)Online publication date: Jan-2015
https://doi.org/10.1109/ASPDAC.2015.7059095
Müller EScheichl RVainikko E(2015)Petascale solvers for anisotropic PDEs in atmospheric modelling on GPU clustersParallel Computing10.1016/j.parco.2015.10.00750(53-69)Online publication date: Dec-2015
https://doi.org/10.1016/j.parco.2015.10.007
Feng Z(2014)Fast RC Reduction of Flip-Chip Power Grids Using Geometric TemplatesIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2013.229010422:11(2357-2365)Online publication date: Nov-2014
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Yang JLi ZCai YZhou Q(2014)PowerRush: An Efficient Simulator for Static Power Grid AnalysisIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2013.228241822:10(2103-2116)Online publication date: Oct-2014
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Yang JCai YZhou QShi J(2014)Friendly Fast Poisson Solver Preconditioning Technique for Power Grid AnalysisIEEE Transactions on Very Large Scale Integration (VLSI) Systems10.1109/TVLSI.2013.225237522:4(899-912)Online publication date: 1-Apr-2014
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