Equations for studies of feedback stabilization
Equations for studies of feedback stabilization
复制标题
反馈稳定性研究方程
DOI：
10.1063/1.873048
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发表时间：
1998
影响因子：
2.2
通讯作者：
A. Boozer
中科院分区：
文献类型：
--
作者：
A. Boozer
当环形等离子体被导电壁包围时，重要的理想磁流体动力学（MHD）不稳定性增长缓慢。这些不稳定性的反馈稳定可能需要托卡马克和其他磁约束概念，以实现足够的等离子体压力和实际聚变功率的自驱动电流。方程推导出用于模拟反馈稳定，这需要最少的信息，一个理想的等离子体的精确分析。在一个不稳定模、一个壁电路、一个反馈电路和一个传感器电路的近似下求解方程。基于一个单一的不稳定模式的分析被证明是数学上等价的标准分析反馈的轴对称垂直不稳定的托卡马克。与该分析不同，这里提出的方法适用于由壁耦合的多个模式和任意环形模式数。
Important ideal magnetohydrodynamic (MHD) instabilities grow slowly when a conducting wall surrounds a toroidal plasma. Feedback stabilization of these instabilities may be required for tokamaks and other magnetic confinement concepts to achieve adequate plasma pressure and self-driven current for practical fusion power. Equations are derived for simulating feedback stabilization, which require the minimum information about an ideal plasma for an exact analysis. The equations are solved in the approximation of one unstable mode, one wall circuit, one feedback circuit, and one sensor circuit. The analysis based on a single unstable mode is shown to be mathematically equivalent to the standard analysis of feedback of the axisymmetric vertical instability of tokamaks. Unlike that analysis, the method presented here applies to multiple modes that are coupled by the wall and to arbitrary toroidal mode numbers.