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非軸対称トーラスプラズマにおける三次元MHD平衡・安定性と高エネルギー粒子

Research Project

Project/Area Number 12680490
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Nuclear fusion studies
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

NAKAMURA Yuji  Kyoto University, Graduate School of Energy Science, Associate Professor, エネルギー科学研究科, 助教授 (20198245)

Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2000: ¥2,100,000 (Direct Cost: ¥2,100,000)
KeywordsHelical System / Tokamak / MHD / TAE mode / ballooning mode / kinetic effect / toroidal ripple / particle orbit / 非軸対称トーラスプラズマ / MHD平衡 / MHD安定性 / 高エネルギー粒子 / 粒子軸道損失 / アルヴェン固有モード
Research Abstract

In torus plasmas such as tokamaks and stellarators, investigation of the relation between MHD properties of the plasma and high energy particles like alpha particles is inevitable and important to realize a thermo-nuclear fusion reactor. In this study, following theoretical and numerical analyses are performed concerning the correlation between three-dimensional MHD equilibrium/stability and high energy particles in non-axisymmetric torus plasmas;
1) Discrete eigenmodes existing in the spectral gap of Alfvan continuum are studied by using a global MHD stability code based on the stellarator approximation. It is found that the mode structure and frequency of the TAE modes are changed by the change of the rotational transform profile due to the finite plasma beta. The kinetic effect of high energy particles on the TAE mode is being studied perturbatively now.
2) Both the local analysis based on the WKB approximation and the global analysis by using a three-dimensional ideal MHD stability c … More ode CAS3D are performed for the ballooning mode specific to the helical system. From the detailed comparison between the local and global analysis, the availability of the local analysis, in which the validity of the approximation is pointed out to be questionable, is verified. In order to estimate how the kinetic effect can change the ideal ballooning mode, local analyses solving the kinetic ballooning mode equations are done. We found that the finite Larmor radius (FLR) effect stabilizes short wave length modes and the compressibility is effective to stabilize long wave length modes.
3) Development of a Monte-Carlo code has been started to estimate kinetic effects from the view point of particles as a final goal. At the first step, the neoclassical transport is being investigated for a plasma in a helical system. Heliotron J. Though it is difficult to argue the results quantitatively, suppression of the neoclassical transport due to the bumpy field component and the radial electric field, which is demonstrated in the previous studies, is verified qualitatively.
4) In the analysis of a rippled tokamak, free-boundary MHD equilibria are obtained by considering discreteness of toroidal coils using a Biot-Savart code KMAG and a three-dimensional MHD equilibrium code VMEC. Finite beta dependence of the toroidal field ripple and its effect on the ripple loss of high energy particles are clarified. Less

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] 山岸 統: "Ballooning instabilities in a Heliotron J plasma"Physics of Plasma. 8巻、6号. 2750-2759 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 山岸 統: "Global ballooning instabilities in a Heliotron J plasma"Physics of Plasma. 9巻、8号. 3429-3439 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木 康浩: "Finite β equilibria of Heliotron J plasmas"J. Plasma Fusion Res. SERIES. 5巻. 377-380 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木 康浩: "Finite beta effects on toroidal ripple in three dimensional tokamak equilibria"Nuclear Fusion. 43巻. 406-415 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木 康浩: "MHD equilibrium of a low-shear helical axis heliotron"Plasma Phys. Control Fusion. 45巻. 971-981 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 山岸 統: "Kinetic effects on the ideal pressure-driven modes in an L=2 heliotron"Physics of Plasmas. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] O. Yamagishi: "Ballooning instabilities in a Heliotron J plasma"Physics of Plasma. 8-6. 2750-2759 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] O. Yamagishi: "Global ballooning instabilities in a Heliotron J plasma"Physics of Plasma. 9-8. 3429-3439 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Suzuki: "Finite β equilibria of Heliotron J plasmas"J. Plasma Fusion Res. SERIES. 5. 377-380 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Suzuki: "Finite beta effects on toroidal ripple in three dimensional tokamak equilibria"Nuclear Fusion. 43. 406-415 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Suzuki: "MHD equilibrium of a low-shear helical axis heliotron"Plasma Phys. Control. Fusion. 45. 971-981 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] O. Yamagishi: "Kinetic effects on the ideal pressure-driven modes in an L=2 heliotron"Physics of Plasma. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 山岸 統: "Global ballooning instabilities in a Heliotron J plasma"Physics of Plasma. 9巻、8号. 3429-3439 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 山岸 統: "Ballooning instabilities in a Heliotron J plasma"Physics of Plasmas. 8巻・6号. 2750-2759 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] O.Yamagishi: "Ballooning Instabilities in a Heliotron J plasma"Physics of Plasmas. Vol.8,No.6(掲載予定). (2001)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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