Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time
Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time
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DOI：
10.1016/j.jcp.2011.04.005
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发表时间：
2009-09
期刊：
影响因子：
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通讯作者：
J. Blum;C. Boulbe;B. Faugeras
中科院分区：
文献类型：
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作者：
J. Blum;C. Boulbe;B. Faugeras
托卡马克中等离子体平衡的重建是一个轴对称位形的自由边界问题，由Grad-Shafranov方程描述。这个方程的右边是一个非线性源，它代表等离子体电流密度的环形分量。本文论述了这种非线性源的识别，从实验测量在真实的时间。所提出的方法是基于不动点算法，有限元分辨率，减少基方法和最小二乘优化配方。这是实现在一个名为Equinox的软件中进行了几个数值实验，以探索识别问题。它示出的平均电流密度和安全系数作为极向通量的函数的轮廓的识别是非常鲁棒的。
The reconstruction of the equilibrium of a plasma in a Tokamak is a free boundary problem described by the Grad–Shafranov equation in axisymmetric configuration. The right-hand side of this equation is a nonlinear source, which represents the toroidal component of the plasma current density. This paper deals with the identification of this nonlinearity source from experimental measurements in real time. The proposed method is based on a fixed point algorithm, a finite element resolution, a reduced basis method and a least-square optimization formulation. This is implemented in a software called Equinox with which several numerical experiments are conducted to explore the identification problem. It is shown that the identification of the profile of the averaged current density and of the safety factor as a function of the poloidal flux is very robust.