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仿星器线圈的构形形变在制造和装配过程中是不可避免的，这些形变会导致误差场的产生，仿星器的磁场位形对误差场非常敏感，严重制约等离子体的约束性能。因此，评估线圈形变对仿星器磁拓扑结构的影响是非常重要的研究课题。本文研究了中国首台准环对称仿星器（CFQS）上非平面模块化线圈（MC）形变对真空场下磁拓扑结构的影响。在本工作中，利用磁岛宽度变化来衡量线圈形变造成的误差场，采用了三种旋转变换（ι=2/4、2/5和2/6）的磁岛位形，分别考虑了每个模块化线圈的面内扰动和面外扰动。研究结果表明：同一线圈的形变会产生不同的共振误差场，且这些误差场的幅度各不相同；共振误差场对每个线圈形变的敏感度不同，最复杂线圈的面内扰动可能对磁拓扑结构的影响并不明显；共振误差场对线圈面外扰动的灵敏度高于面内扰动的灵敏度。这些结果表明放宽特定线圈的构形误差不会显著影响仿星器的磁场位形，有望缓解对MC线圈设计和制造的工程限制。此外，这项工作还有助于为即将进行的CFQS磁位形示踪实验提供精确的理论模型。Deviations of stellarator coils during fabrication and assembly are inevitable, which result in error fields. The magnetic configurations in stellarators are dominantly generated by external coils, sensitive to these error fields. Therefore, it is essential to estimate impacts of coil deformations on a stellarator magnetic topology. This paper is dedicated to studying the influence of deformations of nonplanar modular coils (MC) on the magnetic topology in Chinese First Quasi-axisymmetric Stellarator (CFQS). In this work, by changing the Fourier coefficients that represent the CCS and the coil, we obtain two types of deformation coils, i.e., "in-surface" and "out-surface" perturbations on each MC. Subsequently, we utilize three kinds of magnetic islands with rotational transformsι= 2/4, 2/5, and 2/6 to identify coil deviations that have a significant impact on the CFQS magnetic configuration. Serval important results are achieved: (ⅰ) the same deformation of a coil gives rise to various resonant error fields, and the amplitudes of these error fields are different. (ⅱ) The sensitivity of a resonant error field to the deformation of each coil is different. Local deviations of the most complex coil may lead to indistinctive impacts on the magnetic topology. (ⅲ) Resonant error fields are more sensitive to broad perturbations of a coil than local perturbations. These results address that the relaxation of specific coil tolerances is expected to decrease engineering constraints of coil design and fabrication. In addition, this work also helps develop a precise computational model for the forthcoming mapping experiments of magnetic configurations in CFQS.
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Keywords:
- quasi-axisymmetric stellarator /
- coil deformations /
- error fields /
- magnetic configuration
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