Study on model order reduction for Maxwell's equations based on Krylov subspace methods

• 資料種別: 博士論文
• タイトル: Study on model order reduction for Maxwell's equations based on Krylov subspace methods
• 著者・編者: 比留間, 真悟
• 著者標目: 比留間, 真悟
• 出版事項: Hokkaido University
• 出版年月日等: 2021-03-25
• 出版年（W3CDTF）: 2021-03-25
• 並列タイトル等: クリロフ部分空間法によるマクスウェル方程式のモデル縮約法に関する研究
• 寄与者: 五十嵐, 一; 山下, 裕; 北, 裕幸; 野口, 聡
• 授与機関名: 北海道大学
• 授与年月日: 2021-03-25
• 授与年月日（W3CDTF）: 2021-03-25
• 報告番号: 甲第14580号
• 学位: 博士(情報科学)
• 博論授与番号: 甲第14580号
• 本文の言語コード: eng
• 件名標目: Cauer circuit; complex permeability; Darwin model; homogenization method; Krylov subspace methods; Lanczos process; Maxwell’s equations; model order reduction (MOR); Stieltjes continued fraction
• NDC: 500
• 対象利用者: 一般
• 一般注記: With the recent development of the power electronics devices, the evaluation of the eddy current losses in the electromagnetic apparatuses has become significant for the designers because the high-frequency components in the power supply induce non-negligible losses. Although the finite element method (FEM) is useful to evaluate the eddy current losses,it is sometimes difficult to perform the FE analysis (FEA) when we consider the highfrequency component. Since the skin depth becomes significantly small at high-frequency, we have to subdivide the conducting domains into fine elements. As a result, we have an unsolvable size of the FE equation.To circumvent this problem, model order reduction (MOR) techniques are developed to reduce the computational costs and time in the eddy current analysis. In this paper, new MOR techniques are presented to 1. generate a reduced-order model that is equivalent to the Cauer circuit of the electric apparatuses, 2. accelerate the homogenization method by educing the unknowns, 3. consider the inductive and capacitive effects simultaneously. Chapter 3 discusses a new MOR technique that allows us to obtain a Cauer circuit from a given system. Chapter 4 discusses the use of the proposed method in the homogenization method. We apply it to the FE equation of a unit cell, Dowell's equation, and homogenization FEA. Chapter 5 discusses the application of the proposed method to the Darwin model of Maxwell’s equations.; (主査) 教授 五十嵐 一, 教授 山下 裕, 教授 北 裕幸, 准教授 野口 聡; 情報科学院(情報科学専攻)
• DOI: 10.14943/doctoral.k14580; https://doi.org/10.14943/doctoral.k14580
• 国立国会図書館永続的識別子: info:ndljp/pid/12263796; https://dl.ndl.go.jp/pid/12263796
• コレクション（共通）: 障害者向け資料
• コレクション（障害者向け資料：レベル1）: テキストデータ
• コレクション（個別）: 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文; https://dl.ndl.go.jp/collections/A00014
• 収集根拠: 博士論文（自動収集）
• 受理日（W3CDTF）: 2022-05-09T11:57:37+09:00
• 作成日（W3CDTF）: 2021-02
• 記録形式（IMT）: PDF
• オンライン閲覧公開範囲: 国立国会図書館内限定公開
• デジタル化資料送信: 図書館・個人送信対象外
• 遠隔複写可否（NDL）: 可
• 掲載誌（URI）: http://dx.doi.org/10.14943/doctoral.k14580; http://hdl.handle.net/2115/84643
• 参照（URI）: http://hdl.handle.net/2115/81667
• 連携機関・データベース: 国立国会図書館 : 国立国会図書館デジタルコレクション; https://dl.ndl.go.jp

• 要約等: With the recent development of the power electronics devices, the evaluation of the eddy current losses in the electromagnetic apparatuses has become ...