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Nonlinear error-field penetration in low density ohmically heated tokamak plasmas

机译：低密度欧姆加热托卡马克等离子体中的非线性误差场穿透

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摘要

A theory is developed to predict the error-field penetration threshold in low density, ohmically heated, tokamak plasmas. The novel feature of the theory is that the response of the plasma in the vicinity of the resonant surface to the applied error-field is calculated from nonlinear drift-MHD (magnetohydrodynamical) magnetic island theory, rather than linear layer theory. Error-field penetration, and subsequent locked mode formation, is triggered once the destabilizing effect of the resonant harmonic of the error-field overcomes the stabilizing effect of the ion polarization current (caused by the propagation of the error-field-induced island chain in the local ion fluid frame). The predicted scaling of the error-field penetration threshold with engineering parameters is (b _r/B _T) _(crit)～ n _eB _T ~(-1.8)R _0 ~(-0.25), where b _r is the resonant harmonic of the vacuum radial error-field at the resonant surface, B _T the toroidal magnetic field-strength, n _e the electron number density at the resonant surface and R _0 the major radius of the plasma. This scaling - in particular, the linear dependence of the threshold with density - is consistent with experimental observations. When the scaling is used to extrapolate from JET to ITER, the predicted ITER error-field penetration threshold is (b _r/B _T) _(crit)～5×10 ~5, which just lies within the expected capabilities of the ITER error-field correction system.
机译：发展了一种理论来预测低密度欧姆加热托卡马克等离子体中的误差场穿透阈值。该理论的新颖之处在于，共振表面附近的等离子体对所施加的误差场的响应是根据非线性漂移-MHD（磁流体动力学）磁岛理论而不是线性层理论来计算的。一旦误差场的谐振谐波的稳定作用克服了离子极化电流的稳定作用（由误差场引起的岛链的传播引起），就会触发误差场的穿透以及随后形成的锁模。局部离子流体框架）。利用工程参数预测的误差场穿透阈值的缩放比例为（b _r / B _T）_（crit）〜n _eB _T〜（-1.8）R _0〜（-0.25），其中b _r是共振谐振频率。共振表面上的真空径向误差场，B _T环形磁场强度，n _e共振表面上的电子数密度，R _0是等离子体的主半径。这种缩放比例-特别是阈值与密度的线性相关性-与实验观察一致。当使用定标从JET推算到ITER时，预计的ITER误差场穿透阈值为（b _r / B _T）_（crit）〜5×10〜5，这恰好在ITER误差的预期能力之内场校正系统。

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