AI 中文总结
本研究基于7台托卡马克的多装置数据库，建立了I型与小/QCE型ELM的能量损失定标关系，完成了向SPARC和ITER相关工况的初步外推，为未来反应堆工况预测提供了基础。
AI 中文摘要
研究表明，高密度小/QCE（准连续）ELM（边缘局域模）工况下，经等离子体储能归一化的ELM能量损失（ΔEELM/Wplasma）与分界面湍流参数α_t呈反比关系。相比之下，根据Loarte定标律（《Plasma Phys. Control. Fusion》2003年第45卷第1549页），台基顶部的新经典电子碰撞率ν*e,neo本应调控ΔEELM/Wplasma，但它无法充分匹配剥离气球模受限的I型ELM、以及气球模受限的小/QCE ELM的ΔEELM/Wplasma数据，这限制了其仅适用于单一工况窗口的外推。本研究分析了涵盖7台托卡马克的多装置数据库，其中ΔEELM/Wplasma范围为0.5%至14%。仅针对I型ELM的回归分析得到定标关系：((ΔE_ELM)/W_plasma )_(Type-I ) [%]=6.8*T_(e,ped)^0.03 n_(e,ped)^(-0.4) κ^(-0.4) R_major^0.4，代入标称SPARC台基参数时ΔEELM/Wplasma为4.5%，对应ITER D-T Q=10工况时为12%。而对于小/QCE ELM类别，随着α_t增大，台基向气球模受限边界移动，环向模数增加，ELM频率遵循f_ELM=46e^((2.25*α_t))的定标关系上升，ΔEELM/Wplasma则通过关系式(ΔE_ELM)/W_plasma [%]=1.6e^(-(α_t/2))下降。对于SPARC QCE相关的α_t=0.86以及ITER高加料工况的α_t=0.64，该定标律预测的ΔEELM/Wplasma分别为1.0%和1.2%，结果较为理想；若将小/QCE ELM工况推至α_t>1，该值会低于1%。小/QCE ELM的拟合结果是未来开展更广泛数据集分析的初步一步，而这类分析对提升未来反应堆相关工况预测的准确性是必要的。
英文摘要
It is shown that the ELM energy loss normalized by the plasma stored energy (ΔEELM/Wplasma) for high-density small/QCE ELM regimes scales inversely with the separatrix turbulence parameter a_t. In contrast, the neoclassical electron collisionality at the pedestal top, nu*e,neo, expected to regulate ΔEELM/Wplasma according to the Loarte scaling (Plasma Phys. Control. Fusion 2003 45 1549), does not adequately capture ΔEELM/Wplasma data for peeling-ballooning-limited type-I ELMs and ballooning-limited small/QCE ELMs, limiting its applicability for extrapolation to one scenario window. A multi-machine database including seven tokamaks and with ΔEELM/Wplasma ranging from 0.5% to 14%, has been analyzed. A regression analysis on only type-I ELMs yields ((ΔE_ELM)/W_plasma )_(Type-I ) [%]=6.8*T_(e,ped)^0.03 n_(e,ped)^(-0.4) \k{appa}^(-0.4) R_major^0.4, corresponding to ΔEELM/Wplasma =4.5% for nominal SPARC pedestal parameters and 12% for the ITER D-T Q=10 scenario. For the small/QCE ELM class, however, as a_t increases, the pedestal moves toward a ballooning-limited boundary, the toroidal mode number increases, the ELM frequency rises following the scaling f_ELM=46e^((2.25*a_t)), and ΔEELM/Wplasma decreases via the relation (ΔE_ELM)/W_plasma [%]=1.6e^(-(α_t/2)). For SPARC QCE-relevant a_t=0.86 and ITER high-fueling scenario a_t = 0.64, the scaling favorably predicts ΔEELM/Wplasma of 1.0% and 1.2%, respectively, with values below 1% if the small/QCE ELM regime is pushed beyond a_t >1. The small/QCE ELM-fitted results represent an initial step toward future analysis on broader datasets, which will be necessary to improve the accuracy of projections for future reactor-relevant scenarios.
