Development of Fast Numerical Methods for Electromagnetic Analysis in High-Temperature Superconductors

• Project/Area Number: 19560276
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: 電力工学・電気機器工学
• Research Institution: Yamagata University
• Principal Investigator: KAMITANI Atsushi Yamagata University, 大学院・理工学研究科, 教授 (00224668)
• Project Period (FY): 2007 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000); Fiscal Year 2007: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
• Keywords: 酸化物超伝導体 / 混合状態 / 有限要素法 / 臨界電流密度 / 非接触測定法 / 数値シミュレーション

Research Abstract

本研究では, 高温超伝導体中を流れる遮蔽電流密度の時間発展を解析する高速・高精度数値シミュレーション・コードを開発し, 臨界電流密度の非接触・無侵襲測定である誘導法と永久磁石法を同コードによって数値的に再現することに成功した.その際, 数値シミュレーションを高精度化する目的で, 特異積分の評価方法として2重指数関数型積分公式と正則化積分公式を採用した.その結果, 数十nmの厚みをもつ超伝導薄膜を流れる遮蔽電流密度を高精度に計算することが可能となった.

Research Products

• [Journal Article] Numerical Investigations on Inductive Method for Film/Bulk Superconductors (2009)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: IEEE Trans. Magn Vol.45, No.3 Pages: 1230-1233
  • Peer Reviewed
• [Journal Article] Analysis of Measurement Method for Critical Current Density by Using Permanent Magnet (2009)
  • Author(s): S. Ikuno
  • Journal Title: IEEE Trans. Appl. Superconductivity (in press)
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Measurement Method for Critical Current Density in HTS Thin Film : Influence of DC Magnetic Field on Accuracy (2009)
  • Author(s): T. Takayama
  • Journal Title: IEEE Trans. Appl. Superconductivity (in press)
  • Peer Reviewed
• [Journal Article] Axisymmetric Simulation of Inductive Measurement Method for Critical Current Density in Bulk HTS : Relation between Third Harmonic Voltage and Coil Current (2009)
  • Author(s): A. Kamitani
  • Journal Title: IEEE Trans. Appl. Superconductivity (in press)
  • Peer Reviewed
• [Journal Article] Numerical Investigations on Inductive Method for Film/Bulk Superconductors (2009)
  • Author(s): A. Kamitani
  • Journal Title: IEEE Trans. Magn (in press) Pages: 1230-1233
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Method for Measuring Critical Current Density : Dependence of Accuracy on Shape and Configuration of Coil (2009)
  • Author(s): A. Kamitani
  • Journal Title: Physica C (in press)
  • Peer Reviewed
• [Journal Article] Numerical simulation of inductive method for measuring critical current density of HTS bulk (2008)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: Physica C Vol.468 Pages: 1490-1493
  • Peer Reviewed
• [Journal Article] Numerical simulation of inductive method for measuring critical current density of HTS thin film (2008)
  • Author(s): T. Takayama, A. Kamitani, and S. Ikuno
  • Journal Title: Physica C Vol.468 Pages: 1685-1687
  • Peer Reviewed
• [Journal Article] Numerical investigations on permanent magnet method using meshless approach (2008)
  • Author(s): S. Ikuno, T. Takayama, and A. Kamitani
  • Journal Title: Physica C Vol.468 Pages: 1693-1696
  • Peer Reviewed
• [Journal Article] Evaluation of AC Losses in High Tc Superconductor Thin Film by Element-Free Galerkin Method and Double Exponential Formula (2008)
  • Author(s): S. Ikuno, T. Takayama, and A. Kamitani
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.18, No.2 Pages: 1349-1352
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Noncontact Method for Measuring Critical Current Density : Permanent Magnet Method and Inductive Method (2008)
  • Author(s): T. Takayama, S. Ikuno, and A. Kamitani
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.18, No.2 Pages: 1577-1580
  • Peer Reviewed
• [Journal Article] Evaluation of Parallelized Meshless Approach: Application to Shielding Current Analysis in HTS (2008)
  • Author(s): S. Ikuno, T. Hanawa, T. Takayama, and A. Kamitani
  • Journal Title: IEEE Trans. Magn Vol.44, No.6 Pages: 1230-1233
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Method and Permanent Magnet Method for Measuring Critical Current Density (2008)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: IEEE Trans. Magn Vol.44, No.6 Pages: 926-929
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Method and Permanent Magnet Method for Measuring Critical Current Density (2008)
  • Author(s): A. Kamitani
  • Journal Title: IEEE Trans. Magn Vol.44 Pages: 926-929
  • Peer Reviewed
• [Journal Article] Evaluation of Parallelized Meshless Approach-Application to Shielding Current Analysis in HTS- (2008)
  • Author(s): S. Ikuno
  • Journal Title: IEEE Trans. Magn Vol.44 Pages: 1230-1233
  • Peer Reviewed
• [Journal Article] Evaluation of AC Losses in High Tc Superconductor Thin Film by Element-Free Galerkin Method and Double Exnonential Formula (2008)
  • Author(s): S. Ikuno
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.18 Pages: 1349-1352
  • Peer Reviewed
• [Journal Article] Numerical investigations on permanent magnet method using meshless approach (2008)
  • Author(s): S. Ikuno
  • Journal Title: Physica C Vol.468 Pages: 1693-1696
  • Peer Reviewed
• [Journal Article] Numerical simulation of inductive method for measuring critical current density of HTS thin film (2008)
  • Author(s): T. Takayama
  • Journal Title: Physica C Vol.468 Pages: 1685-1687
  • Peer Reviewed
• [Journal Article] Numerical simulation of inductive method for measuring critical current density of HTS bulk (2008)
  • Author(s): A. Kamitani
  • Journal Title: Physica C Vol.468 Pages: 1490-1493
  • Peer Reviewed
• [Journal Article] 高温超薄膜内の高精度遮蔽電流密度解析 : 誘導法への応用 (2007)
  • Author(s): 高山彰優,神谷淳
  • Journal Title: 電子情報通信学会論文誌 Vol.J91-C, No.4 Pages: 235-243
  • Peer Reviewed
• [Journal Article] Application of parallel processing technique to shielding current analysis on HTS thin film (2007)
  • Author(s): S. Ikuno, T. Takayama, and A. Kamitani
  • Journal Title: Physica C Vol.463-465 Pages: 1013-1016
  • Peer Reviewed
• [Journal Article] Accurate numerical calculation of shielding current density in HTS thin film : applicatin to noncontact measurement method of critical current density (2007)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: Physica C Vol.463-465 Pages: 1009-1012
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Permanent Magnet Method : Relation between Critical Current Density and Maximum Repulsive Force (2007)
  • Author(s): T. Takayama, A. Kamitani, S. Ohshima and A. Saito
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.17, No.2 Pages: 3745-3748
  • Peer Reviewed
• [Journal Article] Accurate Calculation of Shielding Current Density in HTS Thin Film (2007)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.17, No.2 Pages: 3749-3752
  • Peer Reviewed
• [Journal Article] Influence of Method for Imposing Essential Boundary Condition on Meshless Galerkin/Petrov-Galerkin Approaches (2007)
  • Author(s): S. Ikuno, K. Takakura, and A. Kamitani
  • Journal Title: IEEE Trans. Magn. Vol.43, No.4 Pages: 1501-1504
  • Peer Reviewed
• [Journal Article] Accuracy Improvement of Inner-Point Formula in Three-Dimensional BEM (2007)
  • Author(s): A. Saitoh and A. Kamitani
  • Journal Title: IEEE Trans. Magn Vol.43, No.4 Pages: 1489-1492
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Shielding Current Density in High-Temperature Superconducting Thin Film (2007)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: IEEE Trans. Magn Vol.43, No.4 Pages: 1377-1380
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Shielding Current Density in High-Temperature Superconducting Thin Film (2007)
  • Author(s): A. Kamitani
  • Journal Title: IEEE Trans. Magn. Vol.43 Pages: 1377-1380
  • Peer Reviewed
• [Journal Article] Accuracy Improvement of Inner-Point Formula in Three-Dimensional BEM (2007)
  • Author(s): A. Saitoh
  • Journal Title: IEEE Trans. Magn. Vol.43 Pages: 1489-1492
  • Peer Reviewed
• [Journal Article] Influence of Method for Imposing Essential Boundary Condition on Mesh-less Galerkin/Petrov-Galerkin Approaches (2007)
  • Author(s): S. Ikuna
  • Journal Title: IEEE Trans. Magn. Vol.43 Pages: 1501-1504
  • Peer Reviewed
• [Journal Article] Accurate Calculation of Shielding Current Density in HTS Thin Film (2007)
  • Author(s): A. Kamitani
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.17 Pages: 3749-3752
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Permanent Magnet Method: Relation between Critical Current Density and Maximum Repulsive Force (2007)
  • Author(s): T. Takayama
  • Journal Title: IEEE Trans. Appl. Superconductivity Vol.17 Pages: 3745-3748
  • Peer Reviewed
• [Journal Article] Accurate numerical calculation of shielding current density in HTS thinfilm: applicatin to noncontact measurement method of critical current den-sity (2007)
  • Author(s): A. Kamitani
  • Journal Title: Physica C Vol.463-465 Pages: 1009-1012
  • Peer Reviewed
• [Journal Article] Application of parallel processing technique to shielding current analysison HTS thin film (2007)
  • Author(s): S. Ikuno
  • Journal Title: Physica C Vol.463-465 Pages: 1013-1016
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Method and Permanent Magnet Method for Measuring Critical Current Density (2007)
  • Author(s): A. Kamitani
  • Journal Title: IEEE Trans. Magn. (in press)
  • Peer Reviewed
• [Journal Article] Evaluation of Parallelized Meshless Approach-Application to Shielding Current Analysis in HTS- (2007)
  • Author(s): S. Ikuno
  • Journal Title: IEEE Trans. Magn. (in press)
  • Peer Reviewed
• [Journal Article] 高温超薄膜内の高精度遮蔽電流密度解析:誘導法への応用 (2007)
  • Author(s): 高山 彰優
  • Journal Title: 電子情報通信学会論文誌 Vol.J91-C Pages: 235-243
  • Peer Reviewed
• [Journal Article] Experimantal and Numerical Investigations on Permanent Magnet Method for Measuring Critical Current Density in HTS Films
  • Author(s): S. Ikuno, T. Takayama, A. Kamitani, K. Umetsu, A. Saito, and S. Ohshima
  • Journal Title: Physica C (in press)
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Shielding Current Density in HTS : Application of High-Performance Method for Calculating Improper Integrals
  • Author(s): T. Takayama, A. Kamitani, A. Tanaka, and S. Ikuno
  • Journal Title: Physica C (in press)
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Method for Measuring Critical Current Density : Dependence of Accuracy on Shape and Configuration of Coil
  • Author(s): A. Kamitani, T. Takayama, A. Tanaka, and S. Ikuno
  • Journal Title: Physica C (in press)
  • Peer Reviewed
• [Journal Article] Axisymmetric Simulation of Inductive Measurement Method for Critical Current Density in Bulk HTS : Relation between Third Harmonic Voltage and Coil Current
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Journal Title: IEEE Trans. Appl. Superconductivity (in press)
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Inductive Measurement Method for Critical Current Density in HTS Thin Film : Influence of DC Magnetic Field on Accuracy
  • Author(s): T. Takayama and A. Kamitani
  • Journal Title: IEEE Trans. Appl. Superconductivity (in press)
  • Peer Reviewed
• [Journal Article] Analysis of Measurement Method for Critical Current Density by Using Permanent Magnet
  • Author(s): S. Ikuno, T. Takayama, A. Kamitani, A. Saito, and S. Ohshima
  • Journal Title: IEEE Trans. Appl. Superconductivity (in press)
  • Peer Reviewed
• [Presentation] 積分セル非依存型完全Meshless法の開発 (2009)
  • Author(s): 神谷淳
  • Organizer: 核融合科学研究所平成20年度一般共同研究成果報告会
  • Place of Presentation: 核融合科学研究所
  • Year and Date: 2009-01-29
• [Presentation] セル無し二重相反境界節点法の開発 (2008)
  • Author(s): 齋藤歩, 神谷淳
  • Organizer: 日本応用数理学会環瀬戸内応用数理研究部会第12回シンポジウム
  • Place of Presentation: 山形大学理学部
  • Year and Date: 2008-10-12
• [Presentation] 高温超伝導体を流れる遮蔽電流密度の高精度解析法の開発 (2008)
  • Author(s): 高山彰優, 神谷淳
  • Organizer: 日本応用数理学会環瀬戸内応用数理研究部会第12回シンポジウム
  • Place of Presentation: 山形大学理学部
  • Year and Date: 2008-10-12
• [Presentation] 高温超伝導薄膜内の遮蔽電流密度解析II : 誘導法への応用 (2008)
  • Author(s): 高山彰優, 神谷淳
  • Organizer: 日本応用数理学会2008年度年会
  • Place of Presentation: 東京大学柏キャンパス
  • Year and Date: 2008-09-19
• [Presentation] 積分セルを用いない境界節点法の開発 : 2次元楕円型境界値問題への適用 (2008)
  • Author(s): 齋藤歩, 神谷淳
  • Organizer: 日本応用数理学会2008年度年会
  • Place of Presentation: 東京大学柏キャンパス
  • Year and Date: 2008-09-18
• [Presentation] 永久磁石による臨界電流密度測定法の数値シミュレーション (2008)
  • Author(s): 高山彰優, 神谷淳, 生野壮一郎, 武石健太, 齊藤敦, 大嶋重利
  • Organizer: 2008年度春季低温工学・超電導学会
  • Place of Presentation: 明星大学
  • Year and Date: 2008-05-27
• [Presentation] 永久磁石を用いた超電導薄膜のJc面内分布測定 (2008)
  • Author(s): 大嶋重利, 齊藤敦, 高山彰優, 神谷淳, 生野壮一郎, 武石健太
  • Organizer: 2008年度春季低温工学・超電導学会
  • Place of Presentation: 明星大学
  • Year and Date: 2008-05-27
• [Presentation] Two-Dimensional Boundary Node Method without Cells : Application to Potential Problem (2008)
  • Author(s): A. Saitoh and A. Kamitani
  • Organizer: The 13th International Conference on the Computation of Electromagnetic Fields (CEFC 2008)
  • Place of Presentation: Athens, Greece
  • Year and Date: 2008-05-14
• [Presentation] Numerical Investigations on Inductive Method for Film/Bulk Superconductors (2008)
  • Author(s): A. Kamitani, T. Takayama, and S. Ikuno
  • Organizer: The 13th International Conference on the Computation of Electromagnetic Fields (CEFC 2008)
  • Place of Presentation: Athens, Greece
  • Year and Date: 2008-05-14
• [Presentation] セルを用いない二次元境界節点法 : 完全なメッシュレスを目指して (2008)
  • Author(s): 齋藤歩, 神谷淳
  • Organizer: 2008年日本シミュレーション学会研究委員会連合発表会
  • Place of Presentation: 首都大学東京南大沢キャンパス
  • Year and Date: 2008-03-09
• [Presentation] 高温超伝導体の臨界電流密度に対する非接触測定法の数値シミュレーション (2008)
  • Author(s): 高山彰優, 神谷淳
  • Organizer: 2008年日本シミュレーション学会研究委員会連合発表会
  • Place of Presentation: 首都大学東京, 南大沢キャンパス
  • Year and Date: 2008-03-09
• [Presentation] 高温超伝導体の臨界電流密度に対する非接触測定法の数値シミュレーション (2008)
  • Author(s): 高山彰優
  • Organizer: 2008年日本シミュレーション学会研究委員会連合発表会
  • Place of Presentation: 首都大学東京南大沢キャンパス
  • Year and Date: 2008-03-09
• [Presentation] セルを用いない二次元境界節点法:完全なメッシュレスを目指して (2008)
  • Author(s): 齋藤歩
  • Organizer: 2008年日本シミュレーション学会研究委員会連合発表会
  • Place of Presentation: 首都大学東京南大沢キャンパス
  • Year and Date: 2008-03-09
• [Presentation] メッシュレス法を用いた超伝導薄膜の遮蔽電流密度解析 : 永久磁石法のシミュレーション (2007)
  • Author(s): 生野壮一郎, 高山彰優, 神谷淳
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-17
• [Presentation] メッシュレス法を用いた超伝導薄膜の遮蔽電流密度解析-永久磁石法のシミュレーション (2007)
  • Author(s): 生野壮一郎
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-17
• [Presentation] 境界節点法の高精度化II : 境界近傍での解の精度劣化を回避するためのアプローチ (2007)
  • Author(s): 齋藤歩, 田中覚, 仲田晋, 神谷淳
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-16
• [Presentation] 境界節点法の高精度化II-境界近傍での解の精度劣化を回避するためのアプローチー (2007)
  • Author(s): 齋藤歩
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-16
• [Presentation] 高温超伝導薄膜内の遮蔽電流密度解析I : 誘導法のシミュレーション (2007)
  • Author(s): 高山彰優, 神谷淳
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-15
• [Presentation] 積分セルを用いない境界節点法 (2007)
  • Author(s): 大槻恭士, 神谷淳
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-15
• [Presentation] 高温超伝導薄膜内の遮蔽電流密度解析-誘導法のシミュレーションー (2007)
  • Author(s): 高山彰優
  • Organizer: 日本応用数理学会
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-15
• [Presentation] Investigations on Iterative Method with Mixed-Precision on Cell Broadband Engine (2007)
  • Author(s): T. Hanawa, S.Ikuno, and A. Kamitani
  • Organizer: The 16th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2007)
  • Place of Presentation: Eurogress, Aachen, Germany
  • Year and Date: 2007-06-28
• [Presentation] Investigations on Iterative Method with Mixed-Precision on Cell Broadband Engine (2007)
  • Author(s): T. Hanawa
  • Organizer: The 16th International Conference on the Computa-tion of Electromagnetic Fields
  • Place of Presentation: Eurogress, Aachen, Germany
  • Year and Date: 2007-06-28
• [Presentation] Accuracy Improvement of BNM (2007)
  • Author(s): A. Saitoh and A. Kamitani
  • Organizer: The 16th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2007)
  • Place of Presentation: Eurogress, Aachen, Germany
  • Year and Date: 2007-06-27
• [Presentation] Accuracy Improvement of BNM (2007)
  • Author(s): A. Saitoh
  • Organizer: The 16th International Conference on the Computa-tion of Electromagnetic Fields
  • Place of Presentation: Eurogress, Aachen, Germany
  • Year and Date: 2007-06-27