| Citation: |
Ricardo FARENGO, Pablo L GARCÍA-MARTÍNEZ, Hugo E FERRARI. A simple and fast method to calculate the coil currents and the external poloidal flux and magnetic field for fixed boundary equilibria[J]. Plasma Science and Technology, 2024, 26(11): 115103. DOI: 10.1088/2058-6272/ad70e0
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A simple and fast method to calculate the coil currents and the external poloidal flux and magnetic field consistent with a given internal magnetohydrodynamic (MHD) equilibrium and coil geometry is presented. The constrained optimization technique employed allows to fix the exact position of the X-points. The external poloidal flux and field are calculated using Green’s functions expressed in terms of elliptic integrals that are calculated using a fast and accurate routine. The calculation can be limited to the region between the plasma and the device wall. An example for a double null configuration is presented.
This work was supported by the Comisión Nacional de Energía Atómica, CNEA (Controlled Nuclear Fusion Program) and CONICET (Grant PIP 11220200101929CO).
| [1] |
Khayrutdinov R R and Lukash V E 1993 J. Comput. Phys. 109 193 doi: 10.1006/jcph.1993.1211
|
| [2] |
Lukash V E, Khayrutdinov R R and Dokuka V 2012 https://www.slideserve.com/howie/common-description-of-dina-code.
|
| [3] |
Jardin S C, Pomphrey N and DeLucia J 1986 J. Comput. Phys. 66 481 doi: 10.1016/0021-9991(86)90077-X
|
| [4] |
Sadykov A D et al 2015 Nucl. Fusion 55 043017 doi: 10.1088/0029-5515/55/4/043017
|
| [5] |
Hertout P et al 2011 Fusion Eng. Des. 86 1045 doi: 10.1016/j.fusengdes.2011.03.092
|
| [6] |
Sychugov D Yu et al 2023 Plasma Sci. Technol. 25 035602 doi: 10.1088/2058-6272/ac9f05
|
| [7] |
Liu J, Zhu P and Li H 2022 Phys. Plasmas 29 084502 doi: 10.1063/5.0096256
|
| [8] |
Lackner K 1976 Comput. Phys. Comm. 12 33 doi: 10.1016/0010-4655(76)90008-4
|
| [9] |
Johnson J L et al 1979 J. Comp. Phys. 32 212 doi: 10.1016/0021-9991(79)90129-3
|
| [10] |
Jeon Y 2015 J. Korean Phys. Soc. 67 843 doi: 10.3938/jkps.67.843
|
| [11] |
Hofmann F and Jardin S C 1990 Nucl. Fusion 30 2013 doi: 10.1088/0029-5515/30/10/003
|
| [12] |
Fukushima T 2009 Celest. Mech. Dyn. Astron. 105 305 doi: 10.1007/s10569-009-9228-z
|
| [13] |
Farengo R 2023 Plasma Phys. Control. Fusion 65 055003 doi: 10.1088/1361-6587/acc484
|
| [14] |
Simpson J et al 2001 NASA/TM-2013-217919
|
| [15] |
Aydemir A Y et al 2019 Phys. Plasmas 26 112503 doi: 10.1063/1.5124138
|
| [16] |
Luxon J L and Davis L G 1985 Fusion Technol. 8 441 doi: 10.13182/FST85-A40083
|
| [17] |
Leuer J A et al 2011 Nucl. Fusion 51 063038 doi: 10.1088/0029-5515/51/6/063038
|
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