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A control-oriented model of the current profile in tokamak plasma

机译：托卡马克等离子体中电流分布的面向控制模型

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This paper proposes a control-oriented approach to the tokamak plasma current profile dynamics. It is established based on a consistent set of simplified relationships, in particular for the microwave current drive sources, rather than exact physical modelling. Assuming that a proper model for advanced control schemes can be established using the so-called cylindrical approximation and neglecting the diamagnetic effects, we propose a model that focuses on the flux diffusion (from which the current profile is inferred). Its inputs are some real-time measurements available on modern tokamaks and the effects of some major actuators, such as the magnetic coils, lower hybrid (LHCD), electron and ion cyclotron frequency (ECCD and ICRH) systems, are particularly taken into account. More precisely, the non-inductive current profile sources are modelled as 3-parameters functions of the control inputs derived either from approximate theoretical formulae for the ECCD and bootstrap terms or from experimental scaling laws specifically developed from hard x-ray Tore Supra data for the LHCD influence. The use of scaling laws in this model reflects the fact that the operation of future reactors will certainly depend upon a great number of scaling laws and specific engineering parameters. The discretization issues are also specifically addressed, to ensure robustness with respect to discretisation errors and the efficiency (in terms of computation time) of the associated algorithm. This model is compared with experimental results and the CRONOS solver for tore supra tokamak.
机译：本文提出了一种面向控制的托卡马克等离子体电流分布动力学方法。它是基于一致的简化关系集建立的，尤其是针对微波电流驱动源，而不是精确的物理建模。假设可以使用所谓的圆柱近似法并忽略抗磁效应来建立高级控制方案的适当模型，我们提出了一个侧重于磁通量扩散的模型（据此可推断出电流分布）。它的输入是现代托卡马克机上的一些实时测量结果，并且特别考虑了一些主要执行器的影响，例如电磁线圈，低混合动力（LHCD），电子和离子回旋加速器频率（ECCD和ICRH）系统。更准确地说，将非感应电流曲线源建模为控制输入的3参数函数，该控制输入可从ECCD的近似理论公式和自举项或从专门针对X射线的硬X射线数据开发的实验比例定律得出。 LHCD的影响。在该模型中使用比例定律反映了一个事实，即未来反应堆的运行必将取决于大量比例定律和特定的工程参数。还具体解决了离散化问题，以确保针对离散化误差和相关算法的效率（就计算时间而言）的鲁棒性。将该模型与实验结果和CRONOS解算器进行比较，以解决托卡马克的问题。

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