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Study on Burn Control in a Tokamak Fusion Reactor

托卡马克聚变反应堆燃烧控制研究

基本信息

批准号：
62580004
负责人：
OHNISHI Masami
金额：
$ 0.58万
依托单位：
Kyoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1987
资助国家：
日本
起止时间：
1987 至 1988
项目状态：
已结题

项目摘要

We proposed previously the feedback control by compression-decompression to stabilize the thermal instability in a tokamak fusion reactor. In order to attain the stationary burning, the core plasma is compressed or decompressed in major radius direction through energizing the control coil according to the deviation of temperature or fusion power from the equilibrium values. In the previous studies, the shell effects on vertical field applied for the control were approximated by a timedelay. The present study deals with the magnetic circuits consisting a plasma, control coils and the shell and includes the effects of eddy currents in the conductive shell on the compression-decompression control. The eddy currents are decomposed into the fourier series and the first and second order modes are taken into consideration. The inductances between the current components such a plasma, control coils and the eddy currents are evaluated in the approximation of a large aspect ratio limit. The basc equations for the study consist of the magnetic circuits, temperature balance equation of a plasma and plasma equilibrium equation. We investigated the linear stability based on these equations for several scalings of an energy confinement time, and obtained the requirements of the feedback gain and the electrical resistivity of the shell. In case of S.S. shell, the thickness for the stabilization should be less than 30 cm for Keye-Goldstone scaling and 7 cm for Mirnov H-mode scaling. In conclusion, the compression-decompression control is shown to be an effective method to stabilize the thermal instability in a tokamak equipped with a moderately thick shell(several cm in s.s.).

为了稳定托卡马克聚变堆的热不稳定性，我们提出了一种压-减压反馈控制方法。为了实现稳定燃烧，通过根据温度或聚变功率与平衡值的偏差来激励控制线圈，在大半径方向上压缩或减压核心等离子体。在以往的研究中，用于控制的垂直场上的壳体效应被近似为时间延迟。本研究涉及的磁路组成的等离子体，控制线圈和外壳，并包括涡电流在导电外壳上的压缩-减压控制的影响。涡流被分解成傅立叶级数，并考虑了第一和第二阶模式。在大的纵横比极限的近似中评估电流分量（例如等离子体、控制线圈和涡流）之间的电感。研究的基本方程包括磁路方程、等离子体温度平衡方程和等离子体平衡方程。我们研究了基于这些方程的能量约束时间的几个标度的线性稳定性，并得到了反馈增益和壳的电阻率的要求。如果是SS。壳体，用于稳定的厚度对于Keye-Goldstone缩放应小于30 cm，对于Mirnov H模式缩放应小于7 cm。总之，压缩-减压控制被证明是一种有效的方法，以稳定的热不稳定性，在托卡马克配备了一个中等厚度的外壳（几厘米在s.s.）。