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

• Material Type: 博士論文
• Title: Study on model order reduction for Maxwell's equations based on Krylov subspace methods
• Author/Editor: 比留間, 真悟
• Author Heading: 比留間, 真悟
• Publication, Distribution, etc.: Hokkaido University
• Publication Date: 2021-03-25
• Publication Date (W3CDTF): 2021-03-25
• Alternative Title: 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
• Contributor: 五十嵐, 一; 山下, 裕; 北, 裕幸; 野口, 聡
• Degree grantor/type: 北海道大学
• Date Granted: 2021-03-25
• Date Granted (W3CDTF): 2021-03-25
• Dissertation Number: 甲第14580号
• Degree Type: 博士(情報科学)
• Conferring No. (Dissertation): 甲第14580号
• Text Language Code: eng
• Subject Heading: 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
• Target Audience: 一般
• Note (General): 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
• Persistent ID (NDL): info:ndljp/pid/12263796; https://dl.ndl.go.jp/pid/12263796
• Collection: 障害者向け資料
• Collection (Materials For Handicapped People:1): テキストデータ
• Collection (particular): 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
• Acquisition Basis: 博士論文（自動収集）
• Date Accepted (W3CDTF): 2022-05-09T11:57:37+09:00
• Date Created (W3CDTF): 2021-02
• Format (IMT): PDF
• Access Restrictions: 国立国会図書館内限定公開
• Service for the Digitized Contents Transmission Service: 図書館・個人送信対象外
• Availability of remote photoduplication service: 可
• Periodical Title (URI): http://dx.doi.org/10.14943/doctoral.k14580; http://hdl.handle.net/2115/84643
• Is Referenced By (URI): http://hdl.handle.net/2115/81667
• Data Provider (Database): 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