3D radiated power analysis of JET SPI discharges using the Emis3D forward modeling tool

B. Stein-Lubrano, R. Sweeney, Daniele Bonfiglio, J. Lovell, Pedro Carvalho, L. Baylor, R. Granetz, Stefan Jachmich, E. Joffrin, Mengdi Kong, M. Lehnen, C. Maggi, Earl S Marmar, E. Nardon, P. Puglia, U. Sheikh, Daisuke Shiraki, S. Silburn
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Abstract

Precise values for radiated energy in tokamak disruption experiments are needed to validate disruption mitigation techniques for burning plasma tokamaks like ITER and SPARC. Control room analysis of radiated power (Prad) on JET assumes axisymmetry, since fitting 3D radiation structures with limited bolometry coverage is an underdetermined problem. In mitigated disruptions, radiation is toroidally asymmetric and 3D, due to fast-growing 3D MHD modes and localized impurity sources. To address this problem, Emis3D adopts a physics motivated forward modeling ("guess and check") approach, comparing experimental bolometry data to synthetic data from user-defined radiation structures. Synthetic structures are observed with the Cherab modeling framework and a best fit chosen using a reduced χ2 statistic. 2D tomographic inversion models are tested, as well as helical flux tubes and 3D MHD simulated structures from JOREK. Two nominally identical pure neon shattered pellet injection (SPI) mitigated discharges in JET are analyzed. 2D tomographic inversions with added toroidal freedom are the best fits in the thermal quench (TQ) and current quench (CQ). In the pre-TQ, 2D reconstructions are statistically the best fits, but are likely over-optimized and do not capture the 3D radiation structure seen in fast camera images. The next-best pre-TQ fits are helical structures that extend towards the high-field side, consistent with an impurity flow under the magnetic nozzle effect also observed in JOREK simulations. Whole-disruption radiated fractions of 0.98 +0.03/-0.29 and 1.01 +0.02/-0.17 are found, suggesting that the stored energy may have been fully mitigated by each SPI, although mitigation efficiencies well below ITER and SPARC requirements for high energy pulses are still within the large uncertainties. Emis3D is also used to validate JOREK SPI simulations, and confirms improvements in matching experiment from changes to impurity modeling. Time-dependent toroidal peaking factors are calculated and discussed.
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使用 Emis3D 前向建模工具对 JET SPI 放电进行三维辐射功率分析
需要托卡马克破坏实验中辐射能量的精确值,以验证等离子体燃烧托卡马克(如热核实验堆和 SPARC)的破坏缓解技术。控制室对 JET 辐射功率(Prad)的分析假定为轴对称,因为在有限的测量覆盖范围内拟合三维辐射结构是一个未确定的问题。在减弱的扰动中,由于快速增长的三维 MHD 模式和局部杂质源,辐射是环状不对称和三维的。为了解决这个问题,Emis3D 采用了一种物理学前向建模("猜测和检查")方法,将实验测波数据与用户定义辐射结构的合成数据进行比较。使用 Cherab 建模框架观察合成结构,并使用缩小的 χ2 统计量选择最佳拟合。测试了二维层析反演模型,以及来自 JOREK 的螺旋通量管和三维 MHD 模拟结构。分析了 JET 中两个名义上相同的纯氖碎丸注入(SPI)减缓放电。在热淬火(TQ)和电流淬火(CQ)中,增加了环形自由度的二维层析反演是最佳拟合。在预淬火中,二维重建在统计上是最佳拟合,但很可能优化过度,无法捕捉到快速相机图像中的三维辐射结构。次优的前 TQ 拟合是向高场侧延伸的螺旋结构,与 JOREK 模拟中观察到的磁喷嘴效应下的杂质流一致。发现的整体中断辐射分数为 0.98 +0.03/-0.29 和 1.01 +0.02/-0.17 ,这表明每个 SPI 可能已经完全缓解了存储的能量,尽管缓解效率远低于 ITER 和 SPARC 对高能量脉冲的要求,但仍在较大的不确定性范围内。Emis3D 还用于验证 JOREK SPI 模拟,并证实了杂质建模的变化对匹配实验的改进。计算并讨论了随时间变化的环形峰值因子。
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