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中国物理学会期刊

预测HL-2A托卡马克台基结构的MHD稳定性数值研究

CSTR: 32037.14.aps.71.20221098

Numerical study on predicting MHD stability of HL-2A tokamak pedestal structure

CSTR: 32037.14.aps.71.20221098
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  • 基于HL-2A实验参数, 利用TOQ程序构建了具有不同台基结构的平衡, 在BOUT++三场模块下对台基磁流体力学(magnetohydrodynamics, MHD)稳定性进行数值模拟研究. 线性模拟表明, 减小台基高度、增大台基宽度、减小台基电流能够提高台基MHD稳定性, 利用色散关系理论, 对上述现象进行解释. 在MHD稳定性的前提下, 预测了不同台基宽度对应的最高台基高度, 对数据进行拟合, 得到可以预测临界台基高度的公式, 并在此基础上结合动理学气球模(kinetic ballooning mode, KBM)理论, 同时预测了台基高度和宽度. 本文也研究了台基结构对MHD不稳定模式的影响, 线性模拟表明, 台基高度能够微弱影响不稳定模式的径向模展宽; 非线性模拟表明, 不稳定模式的前期增长主要受单一主导模的影响, 模式增长到一定大小会发生台基坍塌, 爆发边缘局域模(edge localized mode, ELM), ELM尺寸的演化与主导模幅值的演化同步, 总体来说具有较大线性增长率的平衡在非线性模拟中具有更大的ELM尺寸和更广范围的台基坍塌.

     

    HL-2A tokamak achieved the first ELMy H-mode discharge operation in 2009 under divertor configuration, and many experimental and simulation researches have been carried out to investigate the pedestal magnetohydrodynamic (MHD) instability. However, there are still few studies on the effect of pedestal structure on MHD stability. Therefore, based on HL-2A experimental parameters, equilibria with different pedestal structures are generated by using TOQ code, and the MHD stability of the equilibria is simulated by using the BOUT++ three-field module. The linear simulations show that reducing the pedestal height, increasing the pedestal width, reducing the pedestal current density and reducing the ion density in the pedestal can improve the MHD stability of pedestal. Using the theory of dispersion relation, the simulation results are explained. Under the premise of MHD stability, the maximum pedestal heights corresponding to different pedestal widths are found, and the data are fitted to obtain an empirical formula that can predict pedestal height, and on this basis, considering the kinetic ballooning mode theory, pedestal height and width are predicted simultaneously. The effect of the pedestal structure on the MHD mode structure is investigated, it is found that the pedestal height can affect the radial width of the mode. Nonlinear simulations show that the pre-growth of instability is affected mainly by a single dominant mode, and the growth of the dominant mode to a certain size will cause the collapse of the pedestal and the eruption of the edge localized mode (ELM). The variation of ELM size after ELM eruption is synchronized with the evolution of the dominant mode. Generally, equilibria with larger linear growth rates have larger ELM sizes and a wider range of pedestal collapse in nonlinear simulations. In this work, the scanning of the pedestal data focuses mainly on the width and height of the pedestal, and other parameters such as small radius, toroidal magnetic field, plasma current, and the pedestal safety factor values will be changed in the future based on the work in this paper, with the aim of enriching the HL-2A pedestal database and predicting the pedestal structure more accurately. Finally these results will be integrated under the HL-2A integrated platform, which in turn will provide a reference for HL-2A tokamak H-mode experiments and integrated simulations.

     

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