High spatial resolution equilibrium reconstruction
High spatial resolution equilibrium reconstruction
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DOI：
10.1088/0741-3335/53/9/095009
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发表时间：
2011-09
影响因子：
2.2
通讯作者：
Q. Ren;M. Chu;L. Lao;R. Srinivasan
中科院分区：
文献类型：
--
作者：
Q. Ren;M. Chu;L. Lao;R. Srinivasan
讨论了 EFIT 平衡重建代码对精细空间网格分辨率的扩展。详细研究了 Grad–Shafranov (G–S) 方程的力平衡关系中的留数以及这些精细空间网格 EFIT 平衡点的收敛性。结果表明，精细的空间网格平衡通常更好地满足 G-S 方程描述的力平衡约束。较精细的空间网格平衡在满足力平衡方程方面通常比粗网格平衡和从粗网格结果推断的平均误差更小。对 EFIT 中采用的平衡迭代算法的分析表明，迭代过程与等离子体在各个指定位置处的通量控制的空间反馈稳定性有关。因此，对于收敛平衡，通常期望有反馈的轴对称稳定性。迭代误差在迭代过程的最后阶段自相似减小，并且与反馈稳定平衡中最不稳定的轴对称模态有关。
The extension of the EFIT equilibrium reconstruction code to fine spatial-grid resolutions is discussed. The residue in the force-balance relation of the Grad–Shafranov (G–S) equation and the convergence property of these fine spatial-grid EFIT equilibria are studied in detail. The results suggest that fine spatial-grid equilibria generally better satisfy the force-balance constraint described by the G–S equation. Finer spatial-grid equilibria have typically smaller average error in satisfying the force-balance equation than coarse-grid equilibria and those extrapolated from coarse-grid results. Analysis of the equilibrium iteration algorithm employed in EFIT reveals that the iteration process is related to the spatial feedback stabilization of the plasma with flux control at various specified locations. Thus, for a converged equilibrium, axisymmetric stability is generally expected with feedback. The iteration error decreases self-similarly in the final stage of the iteration process and is related to the least stable axisymmetric mode in the feedback-stabilized equilibrium.