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Three Dimensional MHD Equilibrium and Plasma Current Effects in Rippled Tokamak/Helical System Plasma

Research Project

Project/Area Number 09680490
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) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥2,400,000 (Direct Cost: ¥2,400,000)
KeywordsRippled Tokamak / Helical System / MHD Equilibrium / Magnetic Island / Plasma Current / Heliotron
Research Abstract

Purposes of this project are to develop a numerical method to analyze three dimensional MHD equilibria of non-axisymmetric torus plasmas in a rippled tokamak or helical system device self-consistently and to investigate the effect of plasma current on the MHD equilibrium. Followings are the results ;
(1) A series of numerical programs was prepared to analyze MHD equilibrium, particle orbit and neoclassical transport in tokamak plasmas, taking into account of breaking of axisymmetry like toroidal ripple. Analysis of high beta low aspect ratio tokamaks with negative shear has been performed as the first step. Additionally, orbits of high energy particles in a high q rippled tokamak with circular cross section are investigated.
(2) The effect of plasma net current on the magnetic island formation in an L=2 heliotron plasma is examined preliminarily by the field line tracing analysis with the stellarator expansion method and the vacuum field calculation code. Though the stellarator expansion technique is not available in a helical axis configuration, it is very important to investigate the magnetic island formation especially in the case of weak magnetic shear. As an example of such configurations, MHD equilibrium and particle orbits are studied for an L=1 helical axis heliotron plasma without considering magnetic islands. A three dimensional MHD equilibrium code which does not assume the existence of nested flux surfaces is necessary for its self - consistent analysis. PIES code has been introduced for this purpose and test calculations were performed for an LHD plasma. Additional improvements of PIES code is intended to be done.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (6 results)

All Other

All Publications (6 results)

  • [Publications] M., Furukawa: "Local Stability of High Beta Low Aspect Tokamak with Negative Shear" Journal of Plasma and Fusion Research. 74. 598-606 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M., Wakatani: "Studies of Helical-Axis Heliotron" Nuclear Fusion. 掲載予定.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Furukawa: "Local Stability of High Beta Low Aspect Tokamak with Negative Shear" Journal of Plasma and Fusion Research. 74. 598-606 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Wakatani: "Studies of Helical-Axis Heliotron" Nuclear Fusion. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Furukawa: "Local Stability of High Beta Low Aspect Ratio Tokamak with Negative Shear" Journal of Plasma and Fusion Research. 74巻6号. 598-606 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Wakatani: "Studies of Helical-Axis Heliotron" Nuclear Fusion. (掲載予定).

    • Related Report
      1998 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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