论文标题
直接构造恒星对称的准静态磁性构型
Direct construction of stellarator-symmetric quasi-isodynamic magnetic configurations
论文作者
论文摘要
我们发展了Garren＆Boozer（1991），Plunk等人所述的MHD平衡方程的一阶接近轴扩展的形式主义。 （2019）和Plunk等。 （2021），对于准静脉，N场时期，恒星对称，单孔磁场平衡。研究了磁轴形的重要性，我们得出的结论是，对曲率和扭转的控制对于获得有限纵横比和低有效纹波的不合格构型至关重要，尤其是对于较高数量的田间周期。因此，一种方法得出了一种方法来构建具有良好曲率和扭转的轴形状类。提出了解决方案，包括以a = 20的长宽比构建的三体周期构型，最大伸长率为E = 3.2，有效的涟漪和1％以下的有效纹波，这表明高伸长量不是QI Stellarators的必要特征。
We develop the formalism of the first order near-axis expansion of the MHD equilibrium equations described in Garren & Boozer (1991), Plunk et al. (2019) and Plunk et al. (2021), for the case of a quasi-isodynamic, N-field period, stellarator symmetric, single-well magnetic field equilibrium. The importance of the magnetic axis shape is investigated, and we conclude that control of the curvature and torsion is crucial to obtain omnigenous configurations with finite aspect ratio and low effective ripple, especially for a higher number of field periods. For this reason a method is derived to construct classes of axis shapes with favourable curvature and torsion. Solutions are presented, including a three-field-period configuration constructed at an aspect ratio of A=20, with a maximum elongation of e=3.2 and an effective ripple under 1%, which demonstrates that high elongation is not a necessary feature of QI stellarators.
