Development of new linear iterative solver for high-performance electromagnetic analysis

开发用于高性能电磁分析的新型线性迭代求解器

• 批准号: 23760259
• 负责人: MIFUNE Takeshi
• 金额: $ 2.75万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23760259/
• 关键词: 電気機器; 計算電磁気学; 有限要素法; マルチグリッド法; 高速線形反復解法; 並列処理

We developed novel fast linear iterative solvers for establishment of high performance electromagnetic analysis, which is widely utilized in the development and design of various electrical and electronic equipment.(1) We proposed the block diagonal preconditioning technique that deals with the three components of the electromagnetic field vectors and scalar potential separately. High efficiency of the proposed technique was verified in magnetostatic, eddy-current, and full-wave analyses. Moreover, the technique was successfully applied to a finite element analysis involving non-confirming elements.(2) We newly developed an iterative solver, as a remedy for the highly ill-conditioned matrix arising from the T-omega analysis including fake conductors. The convergence property of iteration can be improved by the implicit error correction method, which uses an auxiliary matrix representing the loop currents flowing around the conductor.

我们开发了一种新的快速线性迭代求解器，用于建立高性能的电磁分析，广泛应用于各种电气和电子设备的开发和设计。(1)提出了分别处理电磁场矢量和标量势三个分量的块对角预处理技术。在静磁、涡流和全波分析中验证了该方法的高效率。此外，该技术还成功地应用于涉及非确认元素的有限元分析。(2)我们新开发了一个迭代求解器，作为补救由含假导体的t - ω分析引起的高度病态矩阵。采用隐式误差修正法，利用辅助矩阵表示绕导线的环形电流，提高了迭代的收敛性。

项目成果

穴あき導体を含むT-Ω有限要素解析における反復収束性の改善

提高 T-Ω 有限元分析（包括穿孔导体）的迭代收敛性

• 发表时间: 2012
• 作者: Kazuhide Inoue;Tomoharu Nagashima;Xiuqin Wei;Hiroo Sekiya;酒井宏彰，稲田亮史，太田昭男，李成山，張平祥;美舩健,上畠哲志,岩下武史,松尾哲司
• 通讯作者: 美舩健,上畠哲志,岩下武史,松尾哲司

不整合メッシュを用いた有限要素解析のための均質化法に関する検討

失配网格有限元分析均匀化方法研究

• 发表时间: 2013
• 作者: R. Inada;Y .Okumura;R. Ohtsu;A. Oota;C.S. Li;P.X. Zhang;美舩健
• 通讯作者: 美舩健

A new homogenization technique for unfitted finite element electrostatic analysis

一种用于未拟合有限元静电分析的新均化技术

• 发表时间: 2013
• 作者: R. Inada;Y. Okumura;R. Ohtsu;A. Oota;T. Mifune
• 通讯作者: T. Mifune

An Implicit Error Correction Method for the T-Ω Formulation Including Fake Conductors

包含假导体的 T-Ω 公式的隐式误差校正方法

• 发表时间: 2012
• 作者: T. Mifune;S. Kamihata;T. Iwashita;T. Matsuo
• 通讯作者: T. Matsuo

Interface homogenization technique for unfitted finite element electromagnetic analysis

未拟合有限元电磁分析的界面均质化技术

• DOI: 10.1109/tmag.2014.2361321
• 发表时间: 2015
• 期刊: IEEE Transactions on Magnetics
• 影响因子: 2.1
• 作者: Wilmar Martinez;Jun Imaoka and Masayoshi Yamamoto;T. Mifune
• 通讯作者: T. Mifune