Separation of β̄p and ℓi in tokamaks of non-circular cross-section
Separation of β̄p and ℓi in tokamaks of non-circular cross-section
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DOI：
10.1088/0029-5515/25/10/004
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发表时间：
1985-10
期刊：
影响因子：
3.3
通讯作者：
L. Lao;H. John;R. Stambaugh;W. Pfeiffer
中科院分区：
文献类型：
--
作者：
L. Lao;H. John;R. Stambaugh;W. Pfeiffer
平均极向 beta β̄p 和等离子体内部电感 ℓi 的积分关系源自轴对称环面的磁流体动力学 (MHD) 平衡方程。出现的体积相关参数仅微弱地依赖于等离子体内部的实际电流密度分布，并且可以在给定等离子体形状和边界极向磁场的情况下进行近似评估。在实践中，通过使用一些灯丝或分布式源近似等离子体电流分布，可以从测量的外部极向磁场和通量值准确有效地获得转向和受限等离子体。对于具有足够伸长率的非圆形横截面的托卡马克等离子体，可以分别近似确定 β̄p 和 ℓi。这在已知形状的分析平衡以及实际的 Doublet III (D-III) 等离子体中得到了证明，其中 β̄p 和 ℓi 已通过使用其他方法确定。描述了敏感性研究的结果。
Integral relations for the average poloidal beta β̄p and the plasma internal inductance ℓi are derived from the magnetohydrodynamic (MHD) equilibrium equation for an axisymmetric torus. The volume-dependent parameters that appear depend only weakly on the actual current density distribution inside the plasma and can be evaluated approximately, given the plasma shape and boundary poloidal magnetic field. In practice, these can be accurately and efficiently obtained for both diverted and limited plasmas from measured external poloidal magnetic field and flux values by approximating the plasma current distribution using a few filaments or distributed sources. For a tokamak plasma with a non-circular cross-section of sufficient elongation, β̄p and ℓi can then be approximately determined separately. This is demonstrated for analytic equilibria of known shape as well as for actual Doublet III (D-III) plasmas for which β̄p and ℓi have been determined by using other methods. Results of a sensitivity study are described.