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Nonlinear feedback algorithm for tearing-mode magnetic control in tokamak
Plasma Physics and Controlled Fusion ( IF 2.2 ) Pub Date : 2021-05-11 , DOI: 10.1088/1361-6587/abf573
N V Ivanov , A M Kakurin

Results of calculations and analysis of the tearing-mode evolution under the effect of resonant magnetic perturbation produced by a nonlinear feedback system in rotating tokamak plasma are presented. The TEAR-code used for calculations is based on the visco-resistive magnetohydrodynamic approximation that gives coupled diffusion-type equations for the magnetic flux perturbation and for the plasma rotation velocities in toroidal and poloidal directions. The code is supplemented by a computational unit simulating the nonlinear algorithm of the feedback system. The feedback gain and phase shift are automatically regulated in real time. The gain depends on the tearing-mode amplitude. At high feedback input signals, the gain does not exceed some finite value to reduce technical requirements for the feedback actuator and to mitigate the phase instability. In the process of the tearing-mode suppression, the gain gradually increases to provide the mode control under reduction of feedback input signal and rise of the intrinsic tearing-mode stability index. Besides that, the real-time control of the feedback phase shift is provided to additionally mitigate the phase instability. According to simulation, the used nonlinear characteristics of the feedback algorithm improve the efficiency of the tearing-mode suppression.



中文翻译:

托卡马克撕裂模式磁控非线性反馈算法

介绍了在旋转托卡马克等离子体中非线性反馈系统产生的共振磁扰的影响下撕裂模式演化的计算和分析结果。用于计算的 TEAR 代码基于粘阻磁流体动力学近似,该近似给出了磁通量扰动以及环形和极向方向上的等离子体旋转速度的耦合扩散型方程。该代码由一个模拟反馈系统非线性算法的计算单元补充。反馈增益和相移是自动实时调节的。增益取决于撕裂模式幅度。在高反馈输入信号时,增益不超过某个有限值以降低对反馈致动器的技术要求并减轻相位不稳定性。在撕裂模抑制过程中,增益逐渐增大,以在反馈输入信号减少和固有撕裂模稳定性指数上升的情况下提供模式控制。除此之外,还提供了反馈相移的实时控制,以额外减轻相位不稳定性。根据仿真,反馈算法的非线性特性提高了撕裂模式抑制的效率。提供反馈相移的实时控制以另外减轻相位不稳定性。根据仿真,反馈算法的非线性特性提高了撕裂模式抑制的效率。提供反馈相移的实时控制以另外减轻相位不稳定性。根据仿真,反馈算法的非线性特性提高了撕裂模式抑制的效率。

更新日期:2021-05-11
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