Development of fast sparce matrix computation techniques for electromagnetic computation

• Project/Area Number: 17K06301
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Power engineering/Power conversion/Electric machinery
• Research Institution: Kyoto University
• Principal Investigator: Mifune Takeshi 京都大学, 工学研究科, 講師 (20362460)
• Project Period (FY): 2017-04-01 – 2020-03-31
• Project Status: Completed (Fiscal Year 2019)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: 電磁界解析 / 有限要素法 / 疎行列 / 線形反復解法 / 疎行列計算 / クリロフ部分空間法 / 数値電磁気学 / 電気機器工学 / 計算電磁気学

Outline of Final Research Achievements

We aimed to improve the efficiency of electromagnetic field simulation, which is used in the design and development of various electrical equipments, and studied on the development of new sparse matrix computation techniques that has never existed before. We performed research on speedup of sparse matrix linear iterative solver by eigen-/singular- vector estimation and application of geometric block diagonal preconditioning method to edge element electromagnetic field analysis, and obtained theoretical and numerical experimental results. Furthermore, we have developed a research on model reduction of a system involving a sparse matrix and obtained fruitful knowledge and theoretical results.

Academic Significance and Societal Importance of the Research Achievements

本課題で開発された計算技術を導入することで，各種電気機器の設計・開発に活用されている電磁界シミュレーションのさらなる高効率化・高速化が可能となる．開発された技術が将来的に商用ソフトウェア等に還元されることで，産業界を含めた多くのユーザに利することが期待できる．また本課題で得られた様々な理論的成果は，疎行列計算やモデル縮約を含む電磁界計算に関する今後の研究をさらに加速させることも期待できる．

Research Products

• [Journal Article] Large-scale electromagnetic field analyses of coils wound with coated conductors using a current-vector-potential formulation with a thin-strip approximation (2019)
  • Author(s): Mifune Takashi、Tominaga Naoki、Sogabe Yusuke、Mizobata Yudai、Yasunaga Masahiro、Ida Akihiro、Iwashita Takeshi、Amemiya Naoyuki
  • Journal Title: Superconductor Science and Technology Volume: 32 Issue: 9 Pages: 094002-094002
  • DOI: 10.1088/1361-6668/ab1d35
  • NAID: 120006731127
  • Peer Reviewed
• [Presentation] 非線形時間調和渦電流解析のためのヤコビ行列の対称性を利用した ILU 前処理 (2020)
  • Author(s): 長嶺英朗，美舩健，松尾哲司，髙橋康人，藤原耕二
  • Organizer: 電気学会静止器回転機合同研究会
• [Presentation] クリロフ部分空間法の観点による展開点付きCLN法に関する数理的検討 (2020)
  • Author(s): 八尾将央，美舩健，松尾哲司
  • Organizer: 電気学会静止器回転機合同研究会
• [Presentation] 電磁界計算におけるクリロフ型モデル縮約に関する一考察（その2） (2019)
  • Author(s): 美舩健，松尾哲司
  • Organizer: 電気学会静止器回転機合同研究会
• [Presentation] Relationship Between Cauer Ladder Network Representation and CG-like Krylov Subspace Method (2019)
  • Author(s): T. Mifune, T. Matsuo
  • Organizer: Compumag Paris
  • Int'l Joint Research
• [Presentation] 電磁界計算におけるクリロフ型モデル縮約に関する一考察. 電気学会研究会資料 (2018)
  • Author(s): 美舩健, 松尾哲司
  • Organizer: 電気学会静止器回転機合同研究会
• [Presentation] Acceleration of Transient Non-linear Electromagnetic Field Analyses Using an Automated Subspace Correction Method (2018)
  • Author(s): T. Iwashita, S. Kawaguchi, T. Mifune, T. Matsuo
  • Organizer: The Eighteenth Biennial IEEE Conference on Electromagnetic Field Computation
  • Int'l Joint Research
• [Presentation] Geometric Block Diagonal Preconditioning Technique for Electromagnetic Finite Element Analysis Using Voxel Mesh (2018)
  • Author(s): Takeshi Mifune
  • Organizer: SIAM Conference on Parallel Processing for Scientific Computing
  • Int'l Joint Research