Convergence acceleration of time-periodic electromagnetic field analysis by the singularity decomposition-explicit error correction method

Yasuhito Takahashi; Tadashi Tokumasu; Akihisa Kameari; Hiroyuki Kaimori; Masafumi Fujita; Takeshi Iwashita; Shinji Wakao

doi:10.1109/TMAG.2010.2043721

Convergence acceleration of time-periodic electromagnetic field analysis by the singularity decomposition-explicit error correction method

Yasuhito Takahashi^*, Tadashi Tokumasu, Akihisa Kameari, Hiroyuki Kaimori, Masafumi Fujita, Takeshi Iwashita, Shinji Wakao

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.

Original language	English
Article number	5512854
Pages (from-to)	2947-2950
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	46
Issue number	8
DOIs	https://doi.org/10.1109/TMAG.2010.2043721
Publication status	Published - 2010 Aug

Keywords

Explicit error correction (EEC) method
steady state
time-periodic finite element method (TPFEM)
transient analysis

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2010.2043721

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title = "Convergence acceleration of time-periodic electromagnetic field analysis by the singularity decomposition-explicit error correction method",

abstract = "This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.",

keywords = "Explicit error correction (EEC) method, steady state, time-periodic finite element method (TPFEM), transient analysis",

author = "Yasuhito Takahashi and Tadashi Tokumasu and Akihisa Kameari and Hiroyuki Kaimori and Masafumi Fujita and Takeshi Iwashita and Shinji Wakao",

year = "2010",

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doi = "10.1109/TMAG.2010.2043721",

language = "English",

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T1 - Convergence acceleration of time-periodic electromagnetic field analysis by the singularity decomposition-explicit error correction method

AU - Takahashi, Yasuhito

AU - Tokumasu, Tadashi

AU - Kameari, Akihisa

AU - Kaimori, Hiroyuki

AU - Fujita, Masafumi

AU - Iwashita, Takeshi

AU - Wakao, Shinji

PY - 2010/8

Y1 - 2010/8

N2 - This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.

AB - This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.

KW - Explicit error correction (EEC) method

KW - steady state

KW - time-periodic finite element method (TPFEM)

KW - transient analysis

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M3 - Article

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SP - 2947

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 8

M1 - 5512854

ER -

Convergence acceleration of time-periodic electromagnetic field analysis by the singularity decomposition-explicit error correction method

Abstract

Keywords

ASJC Scopus subject areas

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