Influence of elongation and triangularity on plasma response to resonant magnetic perturbations

Yang, Xu; Liu, Yueqiang; Xu, Wei; He, Yuling; Lu, Shuangshuang

doi:10.1088/1741-4326/ac2636

Influence of elongation and triangularity on plasma response to resonant magnetic perturbations

Journal Article · Thu Dec 09 04:00:00 EST 2021 · Nuclear Fusion

DOI:https://doi.org/10.1088/1741-4326/ac2636· OSTI ID:1979389

Yang, Xu ^[1]; ; Xu, Wei; ;

OSTI

Abstract

Systematic toroidal modeling of the plasma response to then= 1–4 (nis the toroidal mode number) resonant magnetic perturbation (RMP) field is carried out in order to understand the plasma-shaping effect on controlling the type-I edge-localized modes (ELMs) in tokamak experiments. Considered are large variations of the plasma elongation and triangularity at a fixed edge safety factorq_a, for limiter plasmas with both single-null (SN) and double-null (DN) divertor-like boundary shapes. Numerical results assuming conformal 3D RMP coils show that (i) the optimum coil phasing between the upper and lower rows for ELM control becomes increasingly sensitive to the plasma elongation with higher-ntoroidal spectra, (ii) the optimum coil phasing is however essentially independent of the plasma triangularity for alln= 1–4 RMP fields, (iii) with the same coil current and the optimum coil phasing, high elongation generally favors ELM control but it may be more challenging for plasmas with intermediate elongation and with lower-n(n= 1–2) RMPs, and (iv) higher triangularity is generally always better for ELM control with alln= 1–4 fields for both DN and SN divertor-like plasma boundary shapes.

Research Organization:: General Atomics, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FC02-04ER54698; FG02-95ER54309

OSTI ID:: 1979389

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 1 Vol. 62; ISSN 0029-5515

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

References (61)

Plasma response based RMP coil geometry optimization for an ITER plasma Zhou, Lina; Liu, Yueqiang; Liu, Yue Plasma Physics and Controlled Fusion, Vol. 58, Issue 11 https://doi.org/10.1088/0741-3335/58/11/115003	journal	September 2016
ELM control based on modeling of plasma response to n = 2 and n = 3 resonant magnetic perturbation fields in DIII-D Yang, Xu; Xu, Wei; Zhou, Lina AIP Advances, Vol. 10, Issue 5 https://doi.org/10.1063/5.0011027	journal	May 2020
ELM suppression in low edge collisionality H-mode discharges using n = 3 magnetic perturbations Burrell, K. H.; Evans, T. E.; Doyle, E. J. Plasma Physics and Controlled Fusion, Vol. 47, Issue 12B https://doi.org/10.1088/0741-3335/47/12b/s04	journal	November 2005
Role of plasma response in displacements of the tokamak edge due to applied non-axisymmetric fields Ferraro, N. M.; Evans, T. E.; Lao, L. L. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073042	journal	June 2013
Validation of the linear ideal magnetohydrodynamic model of three-dimensional tokamak equilibria Lanctot, M. J.; Reimerdes, H.; Garofalo, A. M. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3335237	journal	March 2010
ELMs and constraints on the H-mode pedestal: peeling–ballooning stability calculation and comparison with experiment Snyder, P. B.; Wilson, H. R.; Ferron, J. R. Nuclear Fusion, Vol. 44, Issue 2 https://doi.org/10.1088/0029-5515/44/2/014	journal	January 2004
Resistive versus ideal plasma response to RMP fields in DIII-D: roles of q ₉₅ and X-point geometry Yang, Xu; Liu, Yueqiang; Paz-Soldan, Carlos Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab20f9	journal	June 2019
Comment on “Quantum Frameness forCPTSymmetry” Kosiński, Piotr Physical Review Letters, Vol. 114, Issue 5 https://doi.org/10.1103/physrevlett.114.058902	journal	February 2015
Observation of Lobes near the X Point in Resonant Magnetic Perturbation Experiments on MAST Kirk, A.; Harrison, J.; Liu, Yueqiang Physical Review Letters, Vol. 108, Issue 25 https://doi.org/10.1103/physrevlett.108.255003	journal	June 2012
Edge localized modes (ELMs) Zohm, H. Plasma Physics and Controlled Fusion, Vol. 38, Issue 2 https://doi.org/10.1088/0741-3335/38/2/001	journal	February 1996
Effect of island overlap on edge localized mode suppression by resonant magnetic perturbations in DIII-D Fenstermacher, M. E.; Evans, T. E.; Osborne, T. H. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2901064	journal	May 2008
Modelling resonant field amplification due to low- n peeling modes in JET Liu, Yueqiang; Saarelma, S.; Gryaznevich, M. P. Plasma Physics and Controlled Fusion, Vol. 52, Issue 4 https://doi.org/10.1088/0741-3335/52/4/045011	journal	March 2010
Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas Evans, Todd E.; Moyer, Richard A.; Burrell, Keith H. Nature Physics, Vol. 2, Issue 6 https://doi.org/10.1038/nphys312	journal	May 2006
Modelling of 3D fields due to ferritic inserts and test blanket modules in toroidal geometry at ITER Liu, Yueqiang; Äkäslompolo, Simppa; Cavinato, Mario Nuclear Fusion, Vol. 56, Issue 6 https://doi.org/10.1088/0029-5515/56/6/066001	journal	April 2016
Topological Insulators in Three Dimensions Fu, Liang; Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 98, Issue 10, Article No. 106803 https://doi.org/10.1103/physrevlett.98.106803	journal	March 2007
Impact of toroidal and poloidal mode spectra on the control of non-axisymmetric fields in tokamaks Lanctot, M. J.; Park, J. -K.; Piovesan, P. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982688	journal	May 2017
Comparison of radiating divertor behaviour in single-null and double-null plasmas in DIII-D Petrie, T. W.; Brooks, N. H.; Fenstermacher, M. E. Nuclear Fusion, Vol. 48, Issue 4 https://doi.org/10.1088/0029-5515/48/4/045010	journal	March 2008
The energy confinement response of DIII-D plasmas to resonant magnetic perturbations Cui, L.; Nazikian, R.; Grierson, B. A. Nuclear Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/1741-4326/aa7efe	journal	August 2017
Implications of Recent DIII–D Experiments on Plasma Shaping for Future Tokamak Designs Petrie, T. W.; Fenstermacher, M. E.; Lasnier, C. J. Fusion Technology, Vol. 39, Issue 2P2 https://doi.org/10.13182/fst01-a11963357	journal	March 2001
RMP ELM suppression in DIII-D plasmas with ITER similar shapes and collisionalities Evans, T. E.; Fenstermacher, M. E.; Moyer, R. A. Nuclear Fusion, Vol. 48, Issue 2 https://doi.org/10.1088/0029-5515/48/2/024002	journal	January 2008
Rules for Transition Rates in Nonequilibrium Steady States Evans, R. M. L. Physical Review Letters, Vol. 92, Issue 15 https://doi.org/10.1103/physrevlett.92.150601	journal	April 2004
Influence of up-down asymmetry in plasma shape on RMP response Liu, Yueqiang; Lyons, B. C.; Gu, Shuai Plasma Physics and Controlled Fusion, Vol. 63, Issue 6 https://doi.org/10.1088/1361-6587/abf572	journal	April 2021
Atomic-Scale Structure of Random Solid Solutions: Extended X-Ray-Absorption Fine-Structure Study of Ga 1 − x In x As Mikkelsen, J. C.; Boyce, J. B. Physical Review Letters, Vol. 49, Issue 19 https://doi.org/10.1103/physrevlett.49.1412	journal	November 1982
The CHEASE code for toroidal MHD equilibria Lütjens, H.; Bondeson, A.; Sauter, O. Computer Physics Communications, Vol. 97, Issue 3 https://doi.org/10.1016/0010-4655(96)00046-x	journal	September 1996
Suppression and Mitigation of Edge Localized Modes in the DIII-D Tokamak with 3D Magnetic Perturbations Evans, Todd E. Plasma and Fusion Research, Vol. 7, Issue 0 https://doi.org/10.1585/pfr.7.2402046	journal	January 2012
Toroidal modelling of resonant magnetic perturbations response in ASDEX-Upgrade: coupling between field pitch aligned response and kink amplification Ryan, D. A.; Liu, Y. Q.; Kirk, A. Plasma Physics and Controlled Fusion, Vol. 57, Issue 9 https://doi.org/10.1088/0741-3335/57/9/095008	journal	August 2015
Neural network based prediction of no-wall β _N limits due to ideal external kink instabilities Liu, Yueqiang; Lao, Lang; Li, Li Plasma Physics and Controlled Fusion, Vol. 62, Issue 4 https://doi.org/10.1088/1361-6587/ab6f56	journal	February 2020
Perturbed plasma equilibria Boozer, Allen H.; Nührenberg, Carolin Physics of Plasmas, Vol. 13, Issue 10 https://doi.org/10.1063/1.2353903	journal	October 2006
Quasi-linear theory of forced magnetic reconnection for the transition from the linear to the Rutherford regime Huang, Wenlong; Zhu, Ping Nuclear Fusion, Vol. 61, Issue 3 https://doi.org/10.1088/1741-4326/abdb90	journal	February 2021
Toroidal plasma response based ELM control coil design for EU DEMO Zhou, Lina; Liu, Yueqiang; Wenninger, Ronald Nuclear Fusion, Vol. 58, Issue 7 https://doi.org/10.1088/1741-4326/aac602	journal	June 2018
Observation of a Multimode Plasma Response and its Relationship to Density Pumpout and Edge-Localized Mode Suppression Paz-Soldan, C.; Nazikian, R.; Haskey, S. R. Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/physrevlett.114.105001	journal	March 2015
Toroidal modeling of plasma response and resonant magnetic perturbation field penetration Liu, Y. Q.; Kirk, A.; Sun, Y. Plasma Physics and Controlled Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0741-3335/54/12/124013	journal	November 2012
Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition Huang, Wenlong; Zhu, Ping Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5129085	journal	February 2020
Progress on the application of ELM control schemes to ITER scenarios from the non-active phase to DT operation Loarte, A.; Huijsmans, G.; Futatani, S. Nuclear Fusion, Vol. 54, Issue 3 https://doi.org/10.1088/0029-5515/54/3/033007	journal	February 2014
Numerically derived parametrisation of optimal RMP coil phase as a guide to experiments on ASDEX Upgrade Ryan, D. A.; Liu, Y. Q.; Li, L. Plasma Physics and Controlled Fusion, Vol. 59, Issue 2 https://doi.org/10.1088/1361-6587/59/2/024005	journal	January 2017
Modelling intrinsic error field correction experiments in MAST Liu, Yueqiang; Kirk, A.; Thornton, A. J. Plasma Physics and Controlled Fusion, Vol. 56, Issue 10 https://doi.org/10.1088/0741-3335/56/10/104002	journal	August 2014
ELM control with RMP: plasma response models and the role of edge peeling response Liu, Yueqiang; Ham, C. J.; Kirk, A. Plasma Physics and Controlled Fusion, Vol. 58, Issue 11 https://doi.org/10.1088/0741-3335/58/11/114005	journal	October 2016
Toroidal modelling of RMP response in ASDEX Upgrade: coil phase scan, q ₉₅ dependence, and toroidal torques Liu, Yueqiang; Ryan, D.; Kirk, A. Nuclear Fusion, Vol. 56, Issue 5 https://doi.org/10.1088/0029-5515/56/5/056015	journal	April 2016
Modelling of plasma response to resonant magnetic perturbation fields in MAST and ITER Liu, Yueqiang; Kirk, A.; Gribov, Y. Nuclear Fusion, Vol. 51, Issue 8 https://doi.org/10.1088/0029-5515/51/8/083002	journal	June 2011
Plasma detachment in linear devices Ohno, N. Plasma Physics and Controlled Fusion, Vol. 59, Issue 3 https://doi.org/10.1088/1361-6587/aa5394	journal	February 2017
Measurement and modeling of three-dimensional equilibria in DIII-D Lanctot, M. J.; Reimerdes, H.; Garofalo, A. M. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3593009	journal	May 2011
Increased electron temperature turbulence during suppression of edge localized mode by resonant magnetic perturbations in the DIII-D tokamak Sung, C.; Wang, G.; Rhodes, T. L. Physics of Plasmas, Vol. 24, Issue 11 https://doi.org/10.1063/1.4999785	journal	November 2017
Magnetic separatrix experiments in JET Tanga, A.; Behringer, K. H.; Costley, A. E. Nuclear Fusion, Vol. 27, Issue 11 https://doi.org/10.1088/0029-5515/27/11/011	journal	November 1987
Toroidal modelling of core plasma flow damping by RMP fields in hybrid discharge on ASDEX upgrade Zhang, N.; Liu, Y. Q.; Piovesan, P. Nuclear Fusion, Vol. 60, Issue 9 https://doi.org/10.1088/1741-4326/ab9dce	journal	August 2020
Magnetohydrodynamic stability at a separatrix. I. Toroidal peeling modes and the energy principle Webster, A. J.; Gimblett, C. G. Physics of Plasmas, Vol. 16, Issue 8 https://doi.org/10.1063/1.3194270	journal	August 2009
Anomalous Diffusion of Phospholipids and Cholesterols in a Lipid Bilayer and its Origins Jeon, Jae-Hyung; Monne, Hector Martinez-Seara; Javanainen, Matti Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/physrevlett.109.188103	journal	October 2012
ELM control optimization for various ITER scenarios based on linear and quasi-linear figures of merit Li, L.; Liu, Y. Q.; Loarte, A. Physics of Plasmas, Vol. 27, Issue 4 https://doi.org/10.1063/1.5139890	journal	April 2020
Wanget al.Reply Wang, Li-Gang; Wang, Lin; Al-Amri, M. Physical Review Letters, Vol. 114, Issue 8 https://doi.org/10.1103/physrevlett.114.089302	journal	February 2015
The density dependence of edge-localized-mode suppression and pump-out by resonant magnetic perturbations in the DIII-D tokamak Hu, Q. M.; Nazikian, R.; Grierson, B. A. Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5134767	journal	December 2019
Modelling of plasma response to 3D external magnetic field perturbations in EAST Yang, Xu; Sun, Youwen; Liu, Yueqiang Plasma Physics and Controlled Fusion, Vol. 58, Issue 11 https://doi.org/10.1088/0741-3335/58/11/114006	journal	October 2016
Comparisons of linear and nonlinear plasma response models for non-axisymmetric perturbations Turnbull, A. D.; Ferraro, N. M.; Izzo, V. A. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4805087	journal	May 2013
Modelling plasma response to RMP fields in ASDEX Upgrade with varying edge safety factor and triangularity Li, L.; Liu, Y. Q.; Kirk, A. Nuclear Fusion, Vol. 56, Issue 12 https://doi.org/10.1088/0029-5515/56/12/126007	journal	September 2016
Toroidal modeling of the n = 1 intrinsic error field correction experiments in EAST Yang, Xu; Liu, Yueqiang; Sun, Youwen Plasma Physics and Controlled Fusion, Vol. 60, Issue 5 https://doi.org/10.1088/1361-6587/aab30f	journal	March 2018
Modeling plasma toroidal flow profile control via NTV torque with n = 2 3D fields in MAST-U Liu, Yueqiang; Kirk, A.; Lyons, B. C. Nuclear Fusion, Vol. 60, Issue 9 https://doi.org/10.1088/1741-4326/aba334	journal	August 2020
The role of edge resonant magnetic perturbations in edge-localized-mode suppression and density pump-out in low-collisionality DIII-D plasmas Hu, Q. M.; Nazikian, R.; Grierson, B. A. Nuclear Fusion, Vol. 60, Issue 7 https://doi.org/10.1088/1741-4326/ab8545	journal	May 2020
Dependence of resonant magnetic perturbation experiments on the DIII-D plasma shape Hudson, B.; Evans, T.; Petty, C. Nuclear Fusion, Vol. 50, Issue 6 https://doi.org/10.1088/0029-5515/50/6/064005	journal	May 2010
Publisher’s Note: More Nonlocality with Less Purity [Phys. Rev. Lett.106, 210402 (2011)] Bandyopadhyay, Somshubhro Physical Review Letters, Vol. 106, Issue 22 https://doi.org/10.1103/physrevlett.106.229902	journal	June 2011
Sustained suppression of type-I edge-localized modes with dominantly n = 2 magnetic fields in DIII-D Lanctot, M. J.; Buttery, R. J.; de Grassie, J. S. Nuclear Fusion, Vol. 53, Issue 8 https://doi.org/10.1088/0029-5515/53/8/083019	journal	July 2013
Edge localized mode control experiments on MAST using resonant magnetic perturbations from in-vessel coils Nardon, E.; Kirk, A.; Akers, R. Plasma Physics and Controlled Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0741-3335/51/12/124010	journal	November 2009
Effects of the second X-point on hot VDE in HL-2M Xue, L.; Duan, X. R.; Zheng, G. Y. Nuclear Fusion, Vol. 57, Issue 5 https://doi.org/10.1088/1741-4326/aa65ab	journal	March 2017
Toroidal curvature induced screening of external fields by a resistive plasma response Liu, Yueqiang; Connor, J. W.; Cowley, S. C. Physics of Plasmas, Vol. 19, Issue 7 https://doi.org/10.1063/1.4739062	journal	July 2012

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