特異値分解を部分領域ソルバに用いた渦電流解析

カテゴリ: 論文誌(論文単位)

グループ名: 【B】電力・エネルギー部門

発行日: 2019/11/01

タイトル(英語): Eddy Current Analysis using Singular Value Decomposition as Subdomain Solver

著者名: 水間　健仁（宮崎大学大学院 農学工学総合研究科物質・情報工学専攻），武居　周（宮崎大学工学部電気システム工学科）

著者名(英語): Takehito Mizuma (Interdisciplinary Graduate School of Agriculture and Engineering, University of Miyazaki), Amane Takei (Department of Electrical and Systems Engineering, Faculty of Engineering, University of Miyazaki)

キーワード: 並列有限要素法，領域分割法，特異値分解，渦電流解析　　parallel finite element method，domain decomposition method，singular value decomposition，eddy current analysis

要約(英語): A 3-D eddy current analysis based on the A-φ method with a domain decomposition method (DDM) has been proposed. In the 3-D eddy current analysis with the DDM, the conjugate orthogonal conjugate gradient with incomplete Cholesky factorization (ICCOCG) method is generally applied to solve subdomain problems because the coefficient matrices become singular. However, it is difficult to obtain high-accuracy solutions by using iterative methods because the solutions contain truncation errors. Regularization methods such as to fix gauges deteriorate the convergence of the iterative method. Therefore, we propose an improvement method of the convergence applying a direct method based on a singular value decomposition (SVD-direct method) as the subdomain solver. This proposed method has a merit that the A-φ method can be formulated. The improvement of convergence can be obtained with the SVD-direct method. In this paper, the algorithm of the proposed method is described, and improvement effects are shown through several experiments.

本誌: 電気学会論文誌B（電力・エネルギー部門誌） Vol.139 No.11 （2019） 特集：電磁界解析などの大規模数値計算技術

本誌掲載ページ: 650-655 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejpes/139/11/139_650/_article/-char/ja/