Nonlinear simulation of peeling-ballooning instability of super H-mode in the HL-3 tokamak

Yiren Zhu, Wulyu Zhong, Xiao Lan Zou, Jiaxian Li, M. Xue, Zhengji Li, Lei Xue, Guoliang Xiao, Ruihai Tong, Y. Zou, Jiao Yin, Anshu Liang, Linzi Liu, B. Yuan, Min Xu
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Abstract

As the newly built tokamak in China, HL-3 is going to explore high performance operation scenario such as super H-mode. The energy confinement and core parameters in super H-mode can be much larger than that in normal H-mode. Based on the pedestal simulation code EPED, the operation space of super H-mode is obtained in HL-3. Magnetic shear decreases with increasing triangularity, and then the super H-mode can be achieved. The threshold of triangularity for accessing super H-mode in HL-3 is around 0.4. By using BOUT++, nonlinear simulation study of the pedestal instabilities in super H-mode equilibrium is executed for the first time. As expected, low n peeling mode which can cause much energy loss (17%) from the pedestal region is dominant in super H-mode. Such a big collapse at pedestal region will lead the transition of super H-mode to H-mode. It is crucial to expand the parameter space of the super H-mode or mitigate the ELM size for sustaining the super H-mode operation. E×B velocity shear is found to play an important role for controlling the ELMs in HL-3. On the one hand, small E×B velocity shear leads to large growth rate but small ELM size around peeling boundary. ELM size is closely related with both of growth rate of peeling-ballooning mode and duration time of linear phase. On the other hand, large E×B velocity shear can stabilize the instabilities near ballooning boundary, and then the parameter space of super H-mode will be enlarged.
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HL-3 托卡马克中超 H 模式剥离-气球不稳定性的非线性模拟
作为中国新建的托卡马克,HL-3 将探索超 H 模式等高性能运行方案。超 H 模式的能量约束和堆芯参数可能远大于普通 H 模式。基于基座模拟代码 EPED,HL-3 获得了超 H 模式的运行空间。磁剪切随三角形度的增大而减小,进而实现超 H 模式。HL-3 中进入超 H 模式的三角度临界值约为 0.4。通过使用 BOUT++,首次对超 H 模式平衡中的基座不稳定性进行了非线性模拟研究。不出所料,在超 H 模式中,低 n 剥离模式占主导地位,这种模式会导致基座区能量损失很大(17%)。基座区如此大的塌陷将导致超 H 模式向 H 模式过渡。因此,扩大超 H 模式的参数空间或减小 ELM 的尺寸对于维持超 H 模式的运行至关重要。研究发现,E×B 速度剪切对控制 HL-3 中的 ELM 起着重要作用。一方面,小的 E×B 速度剪切力会导致剥离边界附近的 ELM 增长率大而 ELM 尺寸小。ELM 尺寸与剥离-气泡模式的增长率和线性阶段的持续时间密切相关。另一方面,大的 E×B 速度剪切力可以稳定气球边界附近的不稳定性,从而扩大超 H 模式的参数空间。
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