托卡马克等离子体平衡重构与电流密度剖面实时识别
Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time
AI总结：
针对托卡马克等离子体平衡重构的自由边界问题，提出基于不动点算法、有限元求解、降基方法和最小二乘优化的实时非线性源识别方法，并通过Equinox软件验证了平均电流密度和安全因子剖面的鲁棒识别。
摘要：
托卡马克中等离子体平衡的重构是一个自由边界问题，在轴对称构型下由Grad-Shafranov方程描述。该方程的右侧是一个非线性源项，代表等离子体电流密度的环向分量。本文研究如何从实验测量中实时识别这一非线性源。所提出的方法基于不动点算法、有限元求解、降基方法和最小二乘优化公式。该方法在名为Equinox的软件中实现，并通过若干数值实验探索识别问题。结果表明，平均电流密度剖面和安全因子作为极向磁通函数的识别非常鲁棒。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
