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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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 |
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_version_ |
1721304627860733952 |