Simulation of impurity transport induced by RMP stochastic magnetic field on EAST

doi:10.16568/j.0254-6086.202501013

Nuclear Fusion and Plasma Physics ›› 2025, Vol. 45 ›› Issue (1): 76-83.DOI: 10.16568/j.0254-6086.202501013

• Plasma Physics • Previous Articles Next Articles

Simulation of impurity transport induced by RMP stochastic magnetic field on EAST

CHANG You-you1, 2, SUN You-wen2, SHENG Hui1, 2, YAN Xing-ting2, LI Han-hui3, XIE Peng-cheng2, ZHANG Wen-min2, GUO Jin1, MAO Shi-feng1, LIU Yue-qiang4, ZHANG Ling2, DUAN Yan-min2, LI Ying-ying2, ZANG Qing2, YE Min-you1

(1. School of Nuclear Science and Technology, University of Science and Technology of China, Hefei 230026; 2. Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031; 3. Huazhong University of Science and Technology, Wuhan 430074; 4. General Atomics, San Diego 92186-5608)

Received:2023-03-21 Revised:2024-01-09 Online:2025-03-15 Published:2025-03-15

EAST上共振磁扰动引起的随机场对杂质输运的模拟研究

常友友1, 2，孙有文2，盛回1, 2，闫星廷2，李翰辉3，谢朋成2，张文敏2，郭晋1，毛世峰1，刘钺强4，张凌2，段艳敏2，李颖颖2，臧庆2，叶民友*1

(1.中国科学技术大学核科学技术学院，合肥 230026；2.中国科学院等离子体物理研究所，合肥 230031；3. 华中科技大学，武汉 430074；4. 美国通用原子能公司，圣地亚哥 92186-5608)

通讯作者: 叶民友(1962-)，男，安徽合肥人，博士，教授，研究方向为等离子体与材料表面相互作用和聚变反应堆设计。
作者简介:常友友(1998-)，男，湖北荆州人，硕士研究生，研究方向为托卡马克中共振磁扰动引起的杂质输运。
基金资助:
国家磁约束聚变能发展研究专项“偏滤器脱靶条件下小或无ELM运行模式的模拟研究”(2019YFE03030004)

Abstract

Abstract:

Based on EAST experiments and a stochastic magnetic field transport theory model, the effect of stochastic magnetic field on W20+ transport caused by resonant magnetic perturbation (RMP) is simulated by considering vacuum and plasma response effect, respectively. The numerical simulation results indicate that within the stochastic layer, the impact of the stochastic magnetic field on the W20⁺ transport is greater in vacuum assumption than in plasma. When the plasma response effect is taken into account, the equivalent transport coefficient of W20⁺ in the stochastic magnetic field can reach 3~5m²·s⁻¹, which is about 3~5 times the two-dimensional neoclassical diffusion coefficient of W20⁺. The dependence of the equivalent transport coefficient of W20⁺ in the stochastic magnetic field on the RMP spectrum is in good agreement with EAST experimental observations when considering the plasma response effect, while the results taking the vacuum assumption have a phase shift of about 60°compared to experimental results. In addition, the impact of the stochastic magnetic field on W20+ equivalent transport coefficient is more significant at low toroidal mode numbers than that at high ones, which is qualitatively consistent with the results of EAST experiments.

Key words: Resonant magnetic perturbation, Stochastic magnetic field, Impurity transport

摘要：

基于EAST实验并结合随机场输运模型，模拟研究了真空场假设下和考虑等离子体响应时，共振磁扰动(RMP)引起的随机场对W20+输运的影响。模拟结果表明，在随机场区域内，真空场假设下W20⁺的等效输运系数更大，但响应场下W20⁺的等效输运系数可达3~5m²·s⁻¹，约为W20⁺二维新经典扩散系数的3~5倍。考虑等离子体响应时，随机场区域W20+的等效输运系数与RMP谱型的依赖关系和实验结果符合得较好，但真空场假设下的结果与实验结果存在约60°的相位差。此外，相比于高环向模数的RMP，W20⁺的等效输运系数在低环向模数的RMP下更大，这与实验观测定性一致。

关键词: 共振磁扰动, 随机场, 杂质输运

CLC Number:

TL62+2.3

CHANG You-you, SUN You-wen, SHENG Hui, YAN Xing-ting, LI Han-hui, XIE Peng-cheng, ZHANG Wen-min, GUO Jin, MAO Shi-feng, LIU Yue-qiang, ZHANG Ling, DUAN Yan-min, LI Ying-ying, ZANG Qing, YE Min-you.

Simulation of impurity transport induced by RMP stochastic magnetic field on EAST

[J]. Nuclear Fusion and Plasma Physics, 2025, 45(1): 76-83.

常友友, 孙有文, 盛回, 闫星廷, 李翰辉, 谢朋成, 张文敏, 郭晋, 毛世峰, 刘钺强, 张凌, 段艳敏, 李颖颖, 臧庆, 叶民友. EAST上共振磁扰动引起的随机场对杂质输运的模拟研究[J]. 核工业西南物理研究院, 2025, 45(1): 76-83.

References

[1] PÜTTERICH T, FABLE E, DUX R, et al. Determination of the tolerable impurity concentrations in a fusion reactor using a consistent set of cooling factors [J]. Nuclear Fusion, 2019, 59(5): 056013.

[2] NEU R, DUX R, GEIER A, et al. Impurity behaviour in the ASDEX upgrade divertor tokamak with large area tungsten walls [J]. Plasma Physics and Controlled Fusion, 2002, 44(6): 811.

[3] DELGADO-A L, BITTER M, GRANETZ R, et al. Molybdenum emission from impurity-induced m=1 snake-modes on the Alcator C-Mod tokamak [J]. Rev Sci Instrum, 2012, 83(10): 10E517.

[4] MA T P, XU L Q, HU L Q. Long-lived impurity-ion snakes in the EAST ELM-free H-mode sawtoothing plasma [J]. Journal of the Korean Physical Society, 2015, 66(11): 1704.

[5] PÜTTERICH T, NEU R, DUX R, et al. Calculation and experimental test of the cooling factor of tungsten [J]. Nuclear Fusion, 2010, 50(2): 025012.

[6] NEU R, TEAM A U, TASKFORCE E P, et al. Preparing the scientific basis for an all metal ITER [J]. Plasma Physics and Controlled Fusion, 2011, 53(12): 124040.

[7] SIPS A C C, GRUBER O, TEAM A U. Compatibility of ITER scenarios with an all-W wall [J]. Plasma Physics and Controlled Fusion, 2008, 50(12): 124028.

[8] SHEN Y C, LYU B, ZHANG H M, et al. Suppression of molybdenum impurity accumulation in the core using on-axis electron cyclotron resonance heating in EAST [J]. Physics of Plasmas, 2019, 26(3): 032507.

[9] GROUP T. Laser-injected impurity transport in ohmically and ICRF-heated TFR plasmas [J]. Nuclear Fusion, 1985, 25(12): 1767.

[10] CUI Z Y, MORITA S, ZHOU H Y, et al. Enhancement of edge impurity transport with ECRH in the HL-2A tokamak [J]. Nuclear Fusion, 2013, 53(9): 093001.

[11] RICE J E, TERRY J L, GOETZ J A, et al. Impurity transport in Alcator C-Mod plasmas [J]. Physics of Plasmas, 1997, 4(5): 1605.

[12] VICTOR B S, ODSTRCIL T, PAZ-SOLDAN C A, et al. Impurity transport in the pedestal of H-mode plasmas with resonant magnetic perturbations [J]. Plasma Physics and Controlled Fusion, 2020, 62(9): 095021.

[13] VOGEL G, ZHANG H M, SHEN Y C, et al. Experimental and simulation study of impurity transport response to RMPs in RF-heated H-mode plasmas at EAST [J]. Journal of Plasma Physics, 2021, 87(2): 905870213.

[14] VOGEL G, ZHANG H M, SHEN Y C, et al. Extreme ultraviolet spectroscopy applied to study RMP effects on core impurity concentration in EAST [J]. Ieee Transactions on Plasma Science, 2018, 46(5): 1350.

[15] HONG J, LEE H, HENDERSON S, et al. Effects of ECH and RMP on argon impurity transport in KSTAR plasmas [R]. Kyoto: 26th IAEA Fusion Energy Conference, 2018.

[16] KOBAYASHI M, SEKI R, MASUZAKI S, et al. Impact of a resonant magnetic perturbation field on impurity radiation, divertor footprint, and core plasma transport in attached and detached plasmas in the Large Helical Device [J]. Nuclear Fusion, 2019, 59(9): 096009.

[17] TELESCA G, DELABIE E, SCHMITZ O, et al. Carbon transport in the stochastic magnetic boundary of TEXTOR [J]. Journal of Nuclear Materials, 2009, 390-391: 227.

[18] SCHMITZ O, IDA K, KOBAYASHI M, et al. Enhancement of helium exhaust by resonant magnetic perturbation fields at LHD and TEXTOR [J]. Nuclear Fusion, 2016, 56(10): 106011.

[19] NEUHAUSER J, BESSENRODT-WEBERPALS M, BRAAMS B J , et al. Tokamak edge modeling and comparison with experiment in ASDEX [J]. Plasma Physics and Controlled Fusion, 1989, 31(10): 1551.

[20] GHENDRIH P, GROSMAN A, CAPES H. Theoretical and experimental investigations of stochastic boundaries in tokamaks [J]. Plasma Physics and Controlled Fusion, 1996, 38(10): 1653.

[21] RECHESTER A B, ROSENBLUTH M N. Electron heat-transport in a tokamak with destroyed magnetic surfaces [J]. Physical Review Letters, 1978, 40(1): 38.

[22] CAPES H, SAMAIN A, GHENDRIH P, et al. Condition for density accumulation in the ergodic divertor experiment [J]. Contributions to Plasma Physics, 1992, 32(3-4): 192.

[23] TOKAR M Z. On transport, in particular of impurities, in a stochastic magnetic field [J]. Physics of Plasmas, 1999, 6(7): 2808.

[24] TOKAR M Z, LASAAR H, MANDL W, et al. Modelling of plasma and impurity behaviour in a tokamak with a stochastic layer [J]. Plasma Physics and Controlled Fusion, 1997, 39(4): 569.

[25] MORDIJCK S, DOYLE E J, MCKEE G R, et al. Changes in particle transport as a result of resonant magnetic perturbations in DIII-D [J]. Physics of Plasmas, 2012, 19(5): 056503.

[26] FENG Y, SARDEI F, KISSLINGER J, et al. 3D edge modeling and island divertor physics [J]. Contributions to Plasma Physics, 2004, 44(1-3): 57.

[27] KOBAYASHI M, MORITA S, DONG C F, et al. Edge impurity transport study in the stochastic layer of LHD and the scrape-off layer of HL-2A [J]. Nuclear Fusion, 2013, 53(3): 033011.

[28] DAI S Y, ZHANG H M, LYU B, et al. EMC3-EIRENE modelling of tungsten behavior under resonant magnetic perturbations on EAST: Effects of tungsten sputtering and impurity screening [J]. Plasma Physics and Controlled Fusion, 2021, 63(2): 025003.

[29] LIU Y Q, KIRK A, NARDON E. Full toroidal plasma response to externally applied nonaxisymmetric magnetic fields [J]. Physics of Plasmas, 2010, 17(12): 122502.

[30] ZHANG W, ZHANG L, CHENG Y, et al. Line identification of extreme ultraviolet (EUV) spectra from iron, copper and molybdenum ions in EAST tokamak [J]. Physica Scripta, 2022, 97(4): 045604.

[31] CHANG Y, SUN Y, SHENG H, et al. Tungsten transport due to the neoclassical toroidal viscosity induced by resonant magnetic perturbation in the EAST tokamak [J]. Phys. Plasmas, 2023, 30(12): 122301.

[32] QU H, ZHANG T, ZHANG S B, et al. Q-Band X-Mode reflectometry and density profile reconstruction [J]. Plasma Sci Technol, 2015, 17(12): 985.

[33] ZANG Q, WANG T, LIANG Y, et al. Characteristics of edge pedestals in LHW and NBI heated H-mode plasmas on EAST [J]. Nuclear Fusion, 2016, 56(10): 106003.

[34] LI Y Y, FU J, LYU B, et al. Development of the charge exchange recombination spectroscopy and the beam emission spectroscopy on the EAST tokamak [J]. Rev. Sci. Instrum., 2014, 85(11): 11E428.

[35] STANGEBY P C, ELDER J D. Impurity retention by divertors. I. One dimensional models [J]. Nuclear Fusion, 1995, 35(11): 1391.

[36] LIU Y Q, KIRK A, SUN Y. Toroidal modeling of penetration of the resonant magnetic perturbation field [J]. Physics of Plasmas, 2013, 20(4): 042503.

Simulation of impurity transport induced by RMP stochastic magnetic field on EAST

EAST上共振磁扰动引起的随机场对杂质输运的模拟研究

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