Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis

Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis

In this paper, a novel massively space-time parallel finite element (FE) transformer model is proposed for power system electromagnetic transient simulations. The method utilizes the reduced magnetic vector potential (RMVP) formulation to solve the electromagnetic field in the transformer, and the 3...

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Bibliographic Details
Main Authors: Jiacong Li, Peng Liu, Venkata Dinavahi
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Open Journal of Industry Applications
Subjects:
Domain decomposition
eddy current field
field-circuit coupling
finite element method
graphics processors
nonlinear behavior
Online Access:https://ieeexplore.ieee.org/document/9462393/
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spelling doaj-9ffaf946350b442a9ae77983e60412802021-07-13T23:01:44ZengIEEEIEEE Open Journal of Industry Applications2644-12412021-01-01214315310.1109/OJIA.2021.30915579462393Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient AnalysisJiacong Li0https://orcid.org/0000-0002-2384-2302Peng Liu1https://orcid.org/0000-0001-9215-8670Venkata Dinavahi2https://orcid.org/0000-0001-7438-9547Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, CanadaDepartment of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, CanadaDepartment of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, CanadaIn this paper, a novel massively space-time parallel finite element (FE) transformer model is proposed for power system electromagnetic transient simulations. The method utilizes the reduced magnetic vector potential (RMVP) formulation to solve the electromagnetic field in the transformer, and the 3-D tetrahedral edge element is applied to discretize the RMVP formulation. The discretized nonlinear system is solved by adaptive transmission line modeling (TLM) and matrix-free conjugate gradient iterator, which allows parallelism at the elemental-level and eliminates the need for Newton-Raphson (NR) iterations over the large-scale global matrix. The paper also integrates the parallel-in-time method with the finite element solver to further parallelize the model at space-time level, and the GPU implementation of the model realized a speedup of over 55 and high accuracy, compared with a commercial FE software.https://ieeexplore.ieee.org/document/9462393/Domain decompositioneddy current fieldfield-circuit couplingfinite element methodgraphics processorsnonlinear behavior
collection DOAJ
language English
format Article
sources DOAJ
author Jiacong Li
Peng Liu
Venkata Dinavahi
spellingShingle Jiacong Li
Peng Liu
Venkata Dinavahi
Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis
IEEE Open Journal of Industry Applications
Domain decomposition
eddy current field
field-circuit coupling
finite element method
graphics processors
nonlinear behavior
author_facet Jiacong Li
Peng Liu
Venkata Dinavahi
author_sort Jiacong Li
title Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis
title_short Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis
title_full Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis
title_fullStr Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis
title_full_unstemmed Space-Time-Parallel 3-D Finite Element Transformer Model With Adaptive TLM and Parareal Techniques for Electromagnetic Transient Analysis
title_sort space-time-parallel 3-d finite element transformer model with adaptive tlm and parareal techniques for electromagnetic transient analysis
publisher IEEE
series IEEE Open Journal of Industry Applications
issn 2644-1241
publishDate 2021-01-01
description In this paper, a novel massively space-time parallel finite element (FE) transformer model is proposed for power system electromagnetic transient simulations. The method utilizes the reduced magnetic vector potential (RMVP) formulation to solve the electromagnetic field in the transformer, and the 3-D tetrahedral edge element is applied to discretize the RMVP formulation. The discretized nonlinear system is solved by adaptive transmission line modeling (TLM) and matrix-free conjugate gradient iterator, which allows parallelism at the elemental-level and eliminates the need for Newton-Raphson (NR) iterations over the large-scale global matrix. The paper also integrates the parallel-in-time method with the finite element solver to further parallelize the model at space-time level, and the GPU implementation of the model realized a speedup of over 55 and high accuracy, compared with a commercial FE software.
topic Domain decomposition
eddy current field
field-circuit coupling
finite element method
graphics processors
nonlinear behavior
url https://ieeexplore.ieee.org/document/9462393/
work_keys_str_mv AT jiacongli spacetimeparallel3dfiniteelementtransformermodelwithadaptivetlmandpararealtechniquesforelectromagnetictransientanalysis
AT pengliu spacetimeparallel3dfiniteelementtransformermodelwithadaptivetlmandpararealtechniquesforelectromagnetictransientanalysis
AT venkatadinavahi spacetimeparallel3dfiniteelementtransformermodelwithadaptivetlmandpararealtechniquesforelectromagnetictransientanalysis
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