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Numerical investigation of active control of tearing mode by magnetic coils and the role of Delta '

机译:磁线圈撕裂模式主动控制的数值研究及三角洲的作用

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Magnetic feedback stabilization of the tearing mode (TM) is numerically investigated, utilizing the MARS-F code (Liu et al 2000 Phys. Plasmas 7 3681) for toroidal tokamak equilibria. With control coil configurations assumed in this study, magnetic feedback partially or fully stabilizes the TM, with either vanishing or finite equilibrium pressure. The best control is achieved by the combination of internal active coils and internal poloidal sensors. The internal and external tearing indices are evaluated for the close-loop system, based on the MARS-F computed mode eigenvalue and eigenfunction, respectively. In the absence of the favorable curvature effect, these two indices are real-valued and quantitatively agree well with each other. For the equilibrium with finite pressure gradient at the mode rational surface, the favorable average curvature effect becomes important and the close-loop tearing index also becomes complex-valued, partly due to interaction of the feedback system with the dissipative wall eddy current response. Isolating the inner layer and outer region response to magnetic feedback, with either proportional or proportional-derivative actions, allows to establish that feedback stabilization of the TM occurs mainly due to modification of the behavior of the external ideal solution, further confirming the analytic result reported in He et al 2021 Phys. Plasmas 28 012504.
机译:利用环形托卡马克平衡的MARS-F程序(Liu等人2000 Phys.Plasmas 7 3681)对撕裂模(TM)的磁反馈稳定性进行了数值研究。在本研究中假设的控制线圈配置下,磁反馈部分或完全稳定TM,平衡压力为零或有限。最好的控制是通过内部有源线圈和内部极向传感器的组合实现的。根据MARS-F计算的模式本征值和本征函数,分别计算了闭环系统的内部撕裂指数和外部撕裂指数。在没有有利曲率效应的情况下,这两个指标是实值的,并且在数量上彼此吻合。对于模态有理曲面上具有有限压力梯度的平衡,有利的平均曲率效应变得重要,闭环撕裂指数也变得复杂,部分原因是反馈系统与耗散壁涡流响应的相互作用。隔离内层和外部区域对磁反馈的响应,具有比例或比例微分作用,允许建立TM的反馈稳定主要发生由于外部理想溶液的行为的修改,进一步证实了在He等人2021 PYS中报道的分析结果。等离子体28012504。

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