Impact of error fields and error field correction on heat fluxes in SPARC

Munaretto, S.; Kleiner, A.; Churchill, R. M.; Corona, D.; Looby, T.; Scotto d’Abusco, M.; Wingen, A.

doi:10.1088/1741-4326/adb982

Impact of error fields and error field correction on heat fluxes in SPARC

Journal Article · Tue Mar 04 23:00:00 EST 2025 · Nuclear Fusion

DOI:https://doi.org/10.1088/1741-4326/adb982· OSTI ID:2529458

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Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Commonwealth Fusion Systems, Devens, MA (United States)
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Using a single toroidal array of coils to reduce the m,n = 2,1 resonant error field (EF) produced by the misalignment of the axisymmetric coils in SPARC can result in the enhancement of the local divertor heat fluxes. Managing high divertor heat fluxes (q_∥ $$\simeq$$ 10 GW m^-2) poses a challenge for compact tokamak devices such as SPARC. The presence of non-axisymmetric magnetic field perturbations adds complexity to the problem by generating intricate 3D edge magnetic topologies that alter the heat flux distributions on the target plates. The aim of this work is to investigate the impact of the EF correction (EFC) on the heat fluxes at the divertor plates in SPARC. The MHD code M3DC1 has been used to simulate the 3D magnetic perturbations generated by the shift and tilt of several axisymmetric coils within specified tolerances, as well as from the array of EFC coils located at the midplane. Using a heuristic model that extends the concept of an axisymmetric heat flux layer to 3D plasmas, the resultant heat flux distributions is derived from magnetic footprints calculated with the MAFOT code. The results show that the EFC could either decrease or further enhance the local heat flux when used to correct the m,n = 2,1 resonant EF to enhance the core plasma performance.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-09CH11466; AC05-00OR22725

OSTI ID:: 2529458

Alternate ID(s):: OSTI ID: 2572978

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 4 Vol. 65; ISSN 0029-5515

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

Homoclinic tangles, bifurcations and edge stochasticity in diverted tokamaks Evans, T. E.; Roeder, R. K. W.; Carter, J. A. Contributions to Plasma Physics, Vol. 44, Issue 13 https://doi.org/10.1002/ctpp.200410034	journal	April 2004
Divertor heat flux challenge and mitigation in SPARC Kuang, A. Q.; Ballinger, S.; Brunner, D. Journal of Plasma Physics, Vol. 86, Issue 5 https://doi.org/10.1017/S0022377820001117	journal	September 2020
MHD stability and disruptions in the SPARC tokamak Sweeney, R.; Creely, A. J.; Doody, J. Journal of Plasma Physics, Vol. 86, Issue 5 https://doi.org/10.1017/S0022377820001129	journal	September 2020
Overview of the SPARC tokamak Creely, A. J.; Greenwald, M. J.; Ballinger, S. B. Journal of Plasma Physics, Vol. 86, Issue 5 https://doi.org/10.1017/S0022377820001257	journal	September 2020
Magnetohydrodynamic-activity-induced toroidal momentum dissipation in collisionless regimes in tokamaks Shaing, K. C. Physics of Plasmas, Vol. 10, Issue 5 https://doi.org/10.1063/1.1567285	journal	May 2003
Neoclassical toroidal viscosity and error-field penetration in tokamaks Cole, A. J.; Hegna, C. C.; Callen, J. D. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2838241	journal	May 2008
Footprint structures due to resonant magnetic perturbations in DIII-D Wingen, A.; Evans, T. E.; Spatschek, K. H. Physics of Plasmas, Vol. 16, Issue 4 https://doi.org/10.1063/1.3099053	journal	April 2009
Some properties of the M3D-C1 form of the three-dimensional magnetohydrodynamics equations Breslau, J.; Ferraro, N.; Jardin, S. Physics of Plasmas, Vol. 16, Issue 9 https://doi.org/10.1063/1.3224035	journal	September 2009
Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks Ferraro, N. M. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3694657	journal	May 2012
A Software Package for Plasma-Facing Component Analysis and Design: The Heat Flux Engineering Analysis Toolkit (HEAT) Looby, T.; Reinke, M.; Wingen, A. Fusion Science and Technology, Vol. 78, Issue 1 https://doi.org/10.1080/15361055.2021.1951532	journal	January 2022
Mode locking in tokamaks Nave, M. F. F.; Wesson, J. A. Nuclear Fusion, Vol. 30, Issue 12 https://doi.org/10.1088/0029-5515/30/12/011	journal	December 1990
Effect of resonant magnetic perturbations on COMPASS-C tokamak discharges Hender, T. C.; Fitzpatrick, R.; Morris, A. W. Nuclear Fusion, Vol. 32, Issue 12 https://doi.org/10.1088/0029-5515/32/12/I02	journal	December 1992
Interaction of tearing modes with external structures in cylindrical geometry (plasma) Fitzpatrick, R. Nuclear Fusion, Vol. 33, Issue 7 https://doi.org/10.1088/0029-5515/33/7/I08	journal	July 1993
Identification and analysis of transport domains in the stochastic boundary of TEXTOR-DED for different mode spectra Schmitz, O.; Jakubowski, M. W.; Frerichs, H. Nuclear Fusion, Vol. 48, Issue 2 https://doi.org/10.1088/0029-5515/48/2/024009	journal	January 2008
Error field correction in ITER Park, Jong-Kyu; Boozer, Allen H.; Menard, Jonathan E. Nuclear Fusion, Vol. 48, Issue 4 https://doi.org/10.1088/0029-5515/48/4/045006	journal	February 2008
High resolution numerical studies of separatrix splitting due to non-axisymmetric perturbation in DIII-D Wingen, A.; Evans, T. E.; Spatschek, K. H. Nuclear Fusion, Vol. 49, Issue 5 https://doi.org/10.1088/0029-5515/49/5/055027	journal	April 2009
Resonant magnetic perturbation experiments on MAST using external and internal coils for ELM control Kirk, A.; Nardon, E.; Akers, R. Nuclear Fusion, Vol. 50, Issue 3 https://doi.org/10.1088/0029-5515/50/3/034008	journal	February 2010
Error field correction in DIII-D Ohmic plasmas with either handedness Park, Jong-Kyu; Schaffer, Michael J.; La Haye, Robert J. Nuclear Fusion, Vol. 51, Issue 2 https://doi.org/10.1088/0029-5515/51/2/023003	journal	January 2011
Scaling of the tokamak near the scrape-off layer H-mode power width and implications for ITER Eich, T.; Leonard, A. W.; Pitts, R. A. Nuclear Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0029-5515/53/9/093031	journal	August 2013
The spectral basis of optimal error field correction on DIII-D Paz-Soldan, C.; Buttery, R. J.; Garofalo, A. M. Nuclear Fusion, Vol. 54, Issue 7 https://doi.org/10.1088/0029-5515/54/7/073013	journal	April 2014
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
Measurement, correction and implications of the intrinsic error fields on MAST Kirk, A.; Liu, Yueqiang; Martin, R. Plasma Physics and Controlled Fusion, Vol. 56, Issue 10 https://doi.org/10.1088/0741-3335/56/10/104003	journal	August 2014
Enhanced understanding of non-axisymmetric intrinsic and controlled field impacts in tokamaks In, Y.; Park, J. -K.; Jeon, Y. M. Nuclear Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/1741-4326/aa791c	journal	August 2017
Tamed stability and transport using controlled non-axisymmetric fields in KSTAR In, Yongkyoon; Jeon, Y. M.; Park, J. -K. Nuclear Fusion, Vol. 59, Issue 5 https://doi.org/10.1088/1741-4326/ab0975	journal	March 2019
Assessment of equilibrium field coil misalignments on the divertor footprints in NSTX-U Munaretto, S.; Evans, T. E.; Ferraro, N. M. Nuclear Fusion, Vol. 59, Issue 7 https://doi.org/10.1088/1741-4326/ab1ee0	journal	June 2019
Error field impact on mode locking and divertor heat flux in NSTX-U Ferraro, N. M.; Park, J. -K.; Myers, C. E. Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab22c4	journal	June 2019
New heat flux model for non-axisymmetric divertor infrared structures Wingen, A.; Orlov, D.; Evans, T. E. Nuclear Fusion, Vol. 61, Issue 1 https://doi.org/10.1088/1741-4326/abbfe9	journal	November 2020
Controlling the size of non-axisymmetric magnetic footprints using resonant magnetic perturbations Munaretto, S.; Orlov, D. M.; Paz-Soldan, C. Nuclear Fusion, Vol. 62, Issue 2 https://doi.org/10.1088/1741-4326/ac3b89	journal	December 2021
Error field detection and correction studies towards ITER operation Piron, L.; Paz-Soldan, C.; Pigatto, L. Nuclear Fusion, Vol. 64, Issue 6 https://doi.org/10.1088/1741-4326/ad3fcd	journal	May 2024
The M3D- C ¹ approach to simulating 3D 2-fluid magnetohydrodynamics in magnetic fusion experiments Jardin, S. C.; Ferraro, N.; Luo, X. Journal of Physics: Conference Series, Vol. 125 https://doi.org/10.1088/1742-6596/125/1/012044	journal	July 2008
Experimental signatures of homoclinic tangles in poloidally diverted tokamaks Evans, T. E.; Roeder, R. K. W.; Carter, J. A. Journal of Physics: Conference Series, Vol. 7 https://doi.org/10.1088/1742-6596/7/1/015	journal	January 2005
Study on divertor heat flux under n = 3 and n = 4 resonant magnetic perturbations using infrared thermography diagnostic in EAST Liang, Ruirong; Gong, Xianzu; Zhang, Bin Plasma Science and Technology, Vol. 24, Issue 10 https://doi.org/10.1088/2058-6272/ac73e6	journal	July 2022
Inter-ELM Power Decay Length for JET and ASDEX Upgrade: Measurement and Comparison with Heuristic Drift-Based Model Eich, T.; Sieglin, B.; Scarabosio, A. Physical Review Letters, Vol. 107, Issue 21 https://doi.org/10.1103/PhysRevLett.107.215001	journal	November 2011
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary Evans, T. E.; Moyer, R. A.; Thomas, P. R. Physical Review Letters, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevLett.92.235003	journal	June 2004
Active Control of Type-I Edge-Localized Modes with n = 1 Perturbation Fields in the JET Tokamak Liang, Y.; Koslowski, H. R.; Thomas, P. R. Physical Review Letters, Vol. 98, Issue 26 https://doi.org/10.1103/PhysRevLett.98.265004	journal	June 2007
Implications of Topological Complexity and Hamiltonian Chaos in the edge Magnetic Field of Toroidal Fusion Plasmas Evans, T. E. Proceedings of the CCT '07, Chaos, Complexity and Transport https://doi.org/10.1142/9789812818805_0011	conference	October 2011
Data for "Impact of error field and error field correction on heat fluxes in SPARC" Munaretto, Stefano Princeton Plasma Physics Laboratory, Princeton University https://doi.org/10.34770/s1cc-xg79	dataset	January 2024

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