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
| Přispěvatelé: | 五十嵐, 一, 山下, 裕, 北, 裕幸, 野口, 聡 |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Popis: | 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) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|