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Equilibrium analysis of free boundary MHD plasma with bootstrap current

Research Project

Project/Area Number 05452389
Research Category

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

Allocation TypeSingle-year Grants
Research Field Nuclear fusion studies
Research InstitutionHokkaido University

Principal Investigator

IGARASHI Hajime (1994)  Hokkaido Univ., Fac.of Eng., Instructor, 工学部, 助手 (90212737)

本間 利久 (1993)  北海道大学, 工学部, 教授 (00091497)

Co-Investigator(Kenkyū-buntansha) KAWAGUCHI Hideki  Hokkaido Univ., Fac.of Eng., Instructor, 工学部, 助手 (90234046)
TSUCHIMOTO Masanori  Hokkaido Univ., Fac.of Eng., Lecturer, 工学部, 講師 (40207402)
HONMA Toshihisa  Hokkaido Univ., Fac.of Eng., professor, 工学部, 教授 (00091497)
五十嵐 一  北海道大学, 工学部, 助手 (90212737)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥7,400,000 (Direct Cost: ¥7,400,000)
Fiscal Year 1994: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1993: ¥6,500,000 (Direct Cost: ¥6,500,000)
KeywordsBootstrap currents / MHD plasma / MHD equilibrium / Free boundary / Banana orbit / Neoclassical theory / Steady-state operation / Friction and viscosity matrix
Research Abstract

In order to realize steady-state operations in tokamak-type nuclear fusion reactors, there is the method to use bootstrap currents form neoclassical transport theory, which are driven by the thermodynamic force of plasma. This means that plasma itself can sustain the toroidal current for long time.
Development of the numerical MHD equilibrium code for free boundary plasma was carried out in 1993. We have compared several viscosity models and applied the Hirshman's rational approximations to the present analysis. In 1994, following analyzes were carried out by using the the numerical code. The bootstrap currents were compared with Ohmic and diamagnetic currents using iterative calculation with Hirshman's viscosity model. The bootstrap currents flow near the plasma surface more than at the center of plasma. That is why the plasma pressure gradient becomes low and no momentum exchange among trapped particles happen near the center of plasma. In comparison of the case with toroidal current Ip=22 (MA) and 15 (MA), ratio of the bootstrap currents of 15 (MA) is larger than that of 22 (MA) because of the poloidal magnetic field. Study for relation between plasma density and temperature was also carried out.
Further analysis under consideration of the effects of impurity will be carried out by using the friction and viscosity matrix in the near future.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] M.Yoshida,H.Igarashi,T.Honma: "An equilibrium analysis of helically symmertic MHD plasmas" Computational Enginnering. 457-460 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 五十嵐,本間: "On the integral equation method for a helically symmertic MHD equilibrium problem" 核融合科学研究所MHD数値計算の基礎研究講演論文集. 49-56 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 吉田,五十嵐,本間: "形状制御電流を考慮したトカマクプラズマの平衡解析" 日本原子力学会北海道支部第11回研究発表会講演要旨集. 35-36 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Yoshida,H.Igarashi,T.Honma: "A BEM analysis of helically symmertic MHD equilibrium with an elliptic cross section" Applied electromagnetics,Power Syetems and Controls. 127-130 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 諸星,五十嵐,本間: "ブートストラップ電流のアスペクト比依存性" 平成6年度電気関係学会北海道支部連合大会論文集. 22-23 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Igarashi,M.Yoshida,T.Honma: "Numerical estimation of bootstrap current in Tokamaks under different approximation" Advanced Computational and Design Techniques in Applied electromagnetic Syetems. 521-524 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Yoshida, H.Igarashi and T.Honma: "An equilibrium analysis of helically symmetric MHD plasmas" Computational Engineering, Elsevier. 457-460 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Igarashi and T.Honma: "On the integral equation method for a helically symmetric MHD equilibrium problem" Proc.Workshop on MHD Computations, National Inst.for Fusion Science. 49-56 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Yoshida, H.Igarashi and T.Honma: "An equilibrium analysis of toroidal plasma controlled by external coil current" Abstracts of the 11th Research Meeting of Hokkaido Chapter of the Atomic Energy Society of Japan. 35-36 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M.Yoshida, H.Igarashi and T.Honma: "A BEM analysis of helically symmetric MHD equilibrium with an elliptic cross section" Applied electromagnetics, Power Systems and Controls, Japan Society of Applied Electromagnetics. 127-130 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Moroboshi, H.Igarashi and T.Honma: "Dependence of bootstrap current on the aspect ratio" 1994 Joint Convention Record, The Hokkaido Chapters of the Inst.of Electrical and Information Engineers. 22-23 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Igarashi, M.Yoshida and T.Honma: "Numerical estimation of bootstrap current in Tokamaks under different approximation" Advanced Computational and Design Techniques in Applied electromagnetic Systems, Elsevier. 521-524 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Igarashi,M.Yoshida and T.Honma: "Numerical estimation of bootstrap current in Tokamaks under different approximation" Advanced Computational and Design Techniques in Applied Electrimagnetic Systems. 521-524 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 諸星、五十嵐、本間: "ブートストラップ電流のアスペクト比依存性" 平成6年度電気関係学会北海道支部連合大会論文集. 22-23 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 吉田,五十嵐,本間: "形状制御電流を考慮したトカマクプラズマの平衡解析" 日本原子力学会北海道支部第11回研究発表会講演要旨集. 35-36 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Igarashi,M.Yoshida and T.Honma: "Numerical Estimation of Bootstrap Current in Tokamaks under Different Approximations" Proceedings of ISEM-Seoul. (to be published). (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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