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

波纹托卡马克/螺旋系统等离子体中的三维 MHD 平衡和等离子体电流效应

基本信息

批准号：
09680490
负责人：
NAKAMURA Yuji
金额：
$ 1.92万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1998
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09680490/
关键词：
Rippled Tokamak Helical System MHD Equilibrium Magnetic Island Plasma Current Heliotron

项目摘要

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.

本计画的目的是发展一种数值方法，自洽地分析波纹托卡马克或螺旋系统装置中非轴对称环等离子体的三维MHD平衡，并研究等离子体电流对MHD平衡的影响。以下是结果：（1）编制了一系列数值计算程序，对托卡马克等离子体中的MHD平衡、粒子轨道和新经典输运进行了分析，考虑了轴对称的环涟漪破裂。作为第一步，对具有负剪切的高β低纵横比托克马克进行了分析。此外，还研究了高q波纹圆截面托卡马克中高能粒子的轨道。(2)用仿星展开法和真空场计算程序对L=2的日光管等离子体进行了场线追踪分析，初步研究了等离子体净电流对磁岛形成的影响。虽然仿星器展开技术在螺旋轴构型中不适用，但研究磁岛的形成是非常重要的，特别是在弱磁剪切的情况下。作为这种配置的一个例子，MHD平衡和粒子轨道的L=1的螺旋轴Heliotron等离子体不考虑磁岛进行了研究。为了进行自洽分析，需要一个不假设通量面嵌套的三维MHD平衡程序。为此，引入了PIES程序，并对LHD等离子体进行了试验计算。计划对PIES代码进行其他改进。