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arXiv 2103.00839physics.plasm-ph
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二维场反转组态平衡研究的新工具

A new tool for two-dimensional field-reversed configuration equilibrium study

Haojie Ma, Huasheng Xie, Bihe Deng, Yukun Bai, Shikui Cheng, Yang Li, Bin Chen, Michel Tuszewski, Hanyue Zhao, Jinyuan Liu

摘要:

提出了一种求解二维场反位形(FRC)平衡问题的新工具(GSEQ-FRC),该工具分别基于固定边界和自由边界条件,包括外加线圈。GSEQ-FRC受益于双参数修正刚性转子(MRR)径向平衡模型和[Ma et al,Nucl. Fusion,61,036046,2021]提出的数值方法,用于定量研究FRC的平衡特性,并将用于快速FRC平衡重建。在GSEQ-FRC中,FRC平衡可以方便地由两个参数确定,即,在分界面$β_s$处的热压和磁压之间的比率,以及层(SOL)的归一化刮擦宽度$δ_s$。固定和自由边界条件下的例子来证明GSEQ-FRC的平衡计算的能力。利用该工具定量研究了影响FRC分界线形状的因素,揭示了FRC从跑道状到椭圆状的变化规律。

英文摘要:

A new tool (GSEQ-FRC) for solving two-dimensional (2D) equilibrium of field-reversed configuration (FRC) based on fixed boundary and free boundary conditions with external coils included is developed. Benefiting from the two-parameter modified rigid rotor (MRR) radial equilibrium model and the numerical approaches presented by [Ma et al, Nucl. Fusion, 61, 036046, 2021], GSEQ-FRC are used to study the equilibrium properties of FRC quantitatively and will be used for fast FRC equilibrium reconstruction. In GSEQ-FRC, the FRC equilibrium can be conveniently determined by two parameters, i.e., the ratio between thermal pressure and magnetic pressure at the seperatrix $β_s$, and the normalized scrape of layer (SOL) width $δ_s$. Examples with fixed and free boundary conditions are given to demonstrate the capability of GSEQ-FRC in the equilibrium calculations. This new tool is used to quantitatively study the factors affecting the shape of the FRC separatrix, revealing how the FRC changes from racetrack-like to ellipse-like.

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