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Three-Dimensional Eddy Current Analysis by Hybrid Finite Element and Boundary Element Method

Research Project

Project/Area Number 63550223
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 電力工学
Research InstitutionSchool of science and engineering, Waseda university

Principal Investigator

ONUKI Takashi  Waseda University, Dept. of Electrical Engineering Professor, 理工学部, 教授 (80063428)

Co-Investigator(Kenkyū-buntansha) YOKOI Toshiaki  Musashi Insitute of Technology Information Processing Lecture Center, 専任講師 (80182682)
ISHIYAMA Atasushi  Waseda University, Dept. of Electrical Engineering Assistant Professor, 理工学部, 助教授 (00130865)
Project Period (FY) 1988 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1990: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1989: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1988: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsFinite element method / Boundary element method / Electromagnetic field analysis / Three-Dimensional / Eddy current / Optimal design / Inverse problem / 境界要素法 / 電磁界解析 / 三次元場問題 / うず電流問題
Research Abstract

We have been developing the Hybrid Finite Element and Boundary Element Method for three-dimensional electromagnetic field analysis includes eddy current calculation. Among various electromagnetic quantities, the magnetic vector potential A and the electric scalar potential phi are widely used for the eddy current analysis. This approach is known as the A-phi method. We adopts the quantities A-phi in both the boundary element method and the finite element method. For some problems, it is very complicated to complicated to combine boundary conditions of the boundary element method with those of the usual finite element method. To avoid this difficulty, we have developed a novel boundary element formulation using magnetic potential.
Although the A-phi method is theoretically satisfactory, we need four variables for each node in three-dimensional analysis. In order to reduce the number of unknown variables, we proposed the adoption of the magnetic field intensity H and the magnetic scalar potential psi in the hybrid method.
We applied the proposed method to the real electric apparatus ; linear induction motor, magnetic levitation system, hyperthermia and superconducting magnet system.
We also developed a novel optimal design method for electromagnetic fields. The optimal design method is based on a combination of the hybrid finite element and boundary element method for electromagnetic field calculation and the mathematical programming method for solving corresponding optimization problem. Application of the optimal design method to practical examples ; superconducting magnet system with magnetic shielding for Magnetic Resonance Imaging and hybrid magnet for magnetic levitation system, gave satisfying results.

Report

(4 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • 1988 Annual Research Report
  • Research Products

    (54 results)

All Other

All Publications (54 results)

  • [Publications] 小貫 天: "短二次リニア誘導機における端効果とgradφの検討" 電気学会論文誌. 108ーD. 1049-1055 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A.Ishiyama: "An Optimal Design Technique for MRI Superconducting Magnets Using Mathematical Programming Methocl" IEEE Trannsactions on MAGNETICS. MAGー24. 922-925 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Onuki: "ThreeーDimensional Eddy Current Analysis by Hybrid Finite Elesnent and Boundary Element Method" Boundary Element. 6. 636-642 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Onuki: "Digital Control of Magnetic Levitation with Permanent Magnet" Proc.or Int.Cont.on Electrical Machines. 3. 59-64 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Onuki: "Hybrid Boundary Element and Finite Element Analysis of Eddy Current ProblemS" Boundary Element Method Applied to Mechanics. Pergamon Press. 347-356 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A.Ishiyama: "Optimal Design Technique for Magnetostatic Fielts" Boundary Element Method Appliecl to Mechanics. Pergamon Press. 413-422 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Yokoi: "An Optimal Design Technique for High Speep SingleーSided Linear Induction Motors using Mathematical Programming Method" IEEE Transactions on MAGNETICS. MAGー25. 3596-3598 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Onuki: "Hybrid finite element and boundary element method applied to electromagnetic problems" IEEE Trans.on MAGNETICS. MAGー26. 582-587 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 小貫 天: "有限要素・堺界要素併用法による三次元電磁界解析" 早稲田大学情報科学研究教育センタ-紀要. 11. 1-14 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Onuki: "Improved boundary element formulation using scalar potential in hybrid BEーFE inethod applied to electromagnetic problems" Boundary Element 12th(SpringerーVerlag). 12. 295-305 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A.Ishiyama: "RFMagnetic Induction Type Hyperthermia using Large Ferrite Core in Troidal Shape and an Optimal Design Method for its Applicator" Journal of Applied Electromagnetics in Materials. 1. 195-199 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A.Ishiyama: "Magnetic Shielding for MRI Superconducting Magnets" IEEE Transactions on MAGNETICS. MAGー27.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A.Ishiyama: "Optimal Design of MRI Magnets with Magnetic Shielding" IEEE Transactions on MAGNETICS. MAGー25. 1885-1888 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 横井 利彰: "場の数値解析手法と数理計画法による電磁界問題における最適化について" 電気学会論文誌. 109ーC. 314-321 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 小貫 天: "有限要素・境界要素併用Hーψ法による三次元磁界解析" 電気学会論文誌. 109ーA. 489-496 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 小貫 天: "有限要素・境界要素併用法を用いた三次元磁界解析における境界要素法定式化の改良" 電気学会論文誌. 109ーA. 497-503 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Amano: "Design of the Hybrid Magnet in the Magnctic Levitation System by the Boundary Element MethoD" Proc.of the 11th Int.Cont.on Magnetically Lavitater System and Linear Drives. 441-446 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A.Ishiyama: "Optimal Design Tedmique for Magnetic Field Problems using Hybrid FiniteーBoundary Element Method and Mathematical Programming Method" Advances in Boundary Elements. 2. 196-206 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki et al: "Investigation of End Effect and grad phi on Linear Induction Motor with Short Secondary" Trans. of IEE of Japan. 108-D. 1049-1055 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Ishiyama et al: "An Optimal Design Technique for MRI Superconducting Magnets Using Mathematical Programming Method" IEEE Trans. on MAGNETICS. MAG-24. 922-925 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki et al: "Three-Dimensional Eddy Current Analysis by Hybrid Finite Element and Boundary Element Method" Boundary Element IV. Springer-Verlag. 636-642 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki et al: "Digital Control of Magnetic Levitation with Permanent Magnet" Int. Conf. on Electrical Machines. 3. 59-64 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Ounki et al: "Hybrid Finite Element and Boundary Element Analysis of Eddy Current Problems" Boundary Element Methods in Applied Mechanics. Pergamon Press. 347-356 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Ishiyama et al: "Optimal Design Technique for Magnetostatic Field" Boundary Element Methods in Applied Mechanics. Pergamon Press. 413-422 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Ishiyama et al: "Optimal Design of MRI Magnets with Magnetic Shielding" IEEE Trans. on Magnetics. MAG-25. 1885-1888 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Yokoi et al: "Optimization Technique for Electromagnetic Field Problem by Using Numerical Field Computation and Mathematical Programming Method" Trans. of IEE of Japan. 109-C. 314-321 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki et al: "Three-Dimensional Magnetic Field Analysis by Hybrid Finite Element and Boundary Element H-psi Method" Trans. of IEE of Japan. 109-A. 489-496 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Ounki et al: "Improvement of the Formulation of the Boundary Element Method for Three-Dimensional Magnetic Field Analysis by Hybrid Finite Element and Boundary Element Method" Trans. of IEE of Japan. 109-A. 497-503 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Amano, A. Ishiyama and T. Onuki: "Design of the Hybrid Magnet in the Magnetic Levitation System by the Boundary Element Method" Proc. of the 11ht Int. Conf. on Magnetically Levitater and Linear Drives. 441-446 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Ishiyama et al: "Optimal Design Technique for Magnetic Field Problems using Hybrid Finite-Boundary Element Method and Mathematical Programming Method" Advances in Boundary Element. 2. 196-206 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Yokoi et al: "An Optimal Design Technique for High Speed Single-Sided Linear Induction Motor using Mathematical Programming Method" IEEE Trans. on Magnetics. MAG-25. 3596-3598 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki: "Hybrid Finite Element and Boundary Element Method Applied to Electromagnetic Problems (invited)" IEEE Trans. on Magnetics. MAG-26. 582-587 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki et al: "Hybrid Finite Element and Boundary Element Analysis of Three-Dimensional Electromagnetic Problems" Bulletin of the Center for Informatics, Waseds Univ.11. 1-14 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Onuki et al: "Improved Boundary Element Formulation using Scalar Potential in Hybrid BE-FE Method Applied to electromagnetic Problems" Boundary Element. 12, Springer-Verlag. 295-305 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Ishiyama et al: "RF Induction Type Hyperthermia using Large Ferrite Core in Troidal Shape and an Optimal Design Method for lts Applicator" Journal of Applied Electromagnetics in Materials. 1. 195-199 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Ishiyama et al: "Magnetic Shielding for MRI Superconducting Magnets" IEEE Trans. on Magnetics. MAG-27.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Onuki: "Hybrid finite element and boundary element method applied to electromagnetic problems (Invited)" IEEE Trans.on MAGNETICS. MAGー26. 582-587 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 小貫 天: "有限要素・境界要素併用法による三次元電磁界解析" 早稲田大学情報科学研究教育センタ-紀要. 11. 14 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Onuki: "Improved boundary element formulation using scalar potential in hybrid BEーFE method applied to electromagnetic problems" Boundary Element 12th ( SpringerーVerlag ). 12. 295-305 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 小貫 天: "電磁界問題に対する長方形境界要素及び直方体有限要素を用いた結合解法" 境界要素法研究会論文集. 7. 71-76 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 小貫 天: "磁界の強さHを用いた磁界解析における境界要素形状の考察" 境界要素法研究会論文集. 7. 147-152 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] A.Ishiyama: "Magnetic shielding for MRI superconducting magnets" IEEE Trans.on MAGNETICS. 27. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] A.Ishiyama: "Optimal Design of MRI Magnets with Magnetics Shielding" IEEE Transactions on MAGNETICS. 25. 1885-1888 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 横井利彰: "場の数値解析手法と数理計画法による電磁界問題における最適化について" 電気学会論文誌. 109-C. 314-321 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 小貫天: "有限要素・境界要素併用H-Ψ法による三次元磁界解析" 電気学会論文誌. 109-A. 489-496 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 小貫天: "有限要素・境界要素併用法を用いた三次元磁界解析における境界要素法定式化の改良" 電気学会論文誌. 109-A. 497-503 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Amano: "Design of the Hybrid Magnet in the Magnetic Levitation System by the Boundary Element Method" Proc,of the 11th Int.Conf.on Magnetically Lavitater System and Linear Drives. 441-446 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] A.Ishiyama: "Optimal Design Technique for Magnetic field Problems using Hybrid Finite-Boundary Element Method and Mathematical Programming Method" Advances in Boundary Elements. 2. 196-206 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Takashi Onuki.: Boundary Element Methods in Applied Mechanics Proceeding of the 1st Joint Japan IVS symposium on Boundary Element Method. PERGAMON PRESS. 347-356 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Atushi Ishiyama.: Boundary Element Methods in Applied MechanicsProceeding of the 1st Joint Japan IVS symposium on boundary Element Method. PERGAMON PRESS. 413-422 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 横井利彰: 電気学会論文誌.

    • Related Report
      1988 Annual Research Report
  • [Publications] 山崎克己、石山敦士: 日本ハイパーサーミア学会誌.

    • Related Report
      1988 Annual Research Report
  • [Publications] Atsushi Ishiyama: IEEE Transactions on MAGNETICS.

    • Related Report
      1988 Annual Research Report
  • [Publications] 小貫天: 電気学会論文誌.

    • Related Report
      1988 Annual Research Report

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Published: 1988-04-01   Modified: 2016-04-21  

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