Abstract
High confinement mode (H-mode) in tokamaks is characterized by the formation of a transport barrier at the edge of the plasma. The H-mode increases the plasma energy confinement time by around a factor of two compared to the Low confinement mode (L-mode). This result made a great step towards achieving the higher temperatures and pressures needed to create ignition conditions. The Grad–Shafranov Equation describes the magnetic flux distribution of plasma in an axisymmetric system like a tokamak. In this paper, we have calculated the magnetic flux surfaces in IR-T1 tokamak by two methods. An analytical solution of magnetic surfaces approximated by equilibrium calculation of GS equation based on first three (and then four) terms of expansion in flux function. Results of two methods are in good agreement with each other.
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16 June 2023
This article has been retracted. Please see the Retraction Notice for more detail: https://doi.org/10.1007/s10904-023-02761-2
References
H. Grad, H. Rubin, in Proc. of the 2nd United Nations Conference on the Peaceful Use of Atomic Energy, United Nations, Geneva 31, 190 (1958)
R. LÄust, A. SchlÄuter, Z. Naturforschung, 12a, 850 (1957)
V.D. Shafranov, Plasma equilibrium in a magnetic field. Rev. Plasma Phys., 2, 103, Consultants Bureau New York (1966)
C.V. Atanasiu, S. GÄunter, K. Lackner, I.G. Miron, Analytical solutions to the Grad–Shafranov equation. Phys. Plasmas 11, 3510 (2004)
L. Guazzotto and J. P. Freidberg, Phys. Plasma (2007), PSFC/JA-07-14
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1964), pp. 504–505
A. Salar Elahi et al., Determination of plasma position using poloidal flux loops and comparison with magnetic probes measurement in IR-T1 tokamak. IEEE Trans. Plasma Sci. 38(2), 181–185 (2010)
A. Salar Elahi et al., A modified flux loop for determination of plasma position in IR-T1 tokamak. IEEE Trans. Plasma Sci. 38(9), 3163–3167 (2010)
A. Salar Elahi et al., Analytical and experimental approach in plasma displacement measurement in IR-T1 tokamak. J. Plasma Phys. 76(1), 1–8 (2009)
A. Salar Elahi et al., A novel technique for the measurement of plasma displacement in IR-T1 tokamak. Fusion Eng. Des. 85, 724–727 (2010)
A. Salar Elahi et al., Comparison between flux loops and magnetic probes in determination of shafranov parameter in IR-T1 tokamak. Phys. Scripta 80(5), 045501 (2009)
A. Salar Elahi et al., Two experimental methods for measurement of plasma displacement in IR-T1 tokamak. Phys. Scripta 80, 045501 (2009)
A. Salar Elahi et al., Time evolution of the energy confinement time internal inductance and effective edge safety factor on IR-T1 tokamak. Phys. Scripta 81(5), 055501 (2010)
A. Salar Elahi et al., Experimental determination of plasma position based on two analytical methods in IR-T1 tokamak. Phys. Scripta 82(2), 025502 (2010)
M. Ghoranneviss, A. Salar Elahi et al., The first results of electrode biasing experiments in the IR-T1 tokamak. Phys. Scripta 82(3), 035502 (2010)
A. Salar Elahi et al., theoretical and experimental approach in poloidal beta and internal inductance measurement on IR-T1 tokamak. J. Fusion Energy 28(1), 346–349 (2009)
A. Salar Elahi et al., Effects of resonant helical field (RHF) on equilibrium properties of IR-T1 tokamak plasma. J. Fusion Energy 28(1), 416–419 (2009)
A. Salar Elahi et al., Effects of resonant helical field on plasma internal inductance in IR-T1 tokamak. J. Fusion Energy 28(2), 408–411 (2009)
A. Salar Elahi et al., RHF effect on shafranov parameter and shafranov shift in IR-T1 tokamak. J. Fusion Energy 28(2), 412–415 (2009)
A. Salar Elahi et al., Measurement of plasma energy confinement time in presence of resonant helical field in IR-T1 tokamak. J. Fusion Energy 28(3), 394–397 (2009)
A. Salar Elahi et al., measurement of plasma poloidal beta in presence of resonant helical field in IR-T1 tokamak. J. Fusion Energy 28(3), 404–407 (2009)
A. Salar Elahi et al., Two semi-empirical methods for determination of shafranov shift in IR-T1 tokamak. J. Fusion Energy 28(4), 390–393 (2009)
A. Salar Elahi et al., Comparative measurements of plasma position using multipole moments method and analytical solution of grad-shafranov equation in IR-T1 tokamak. J. Fusion Energy 28(4), 385–389 (2009)
A. Rahimi Rad, M. Ghoranneviss, M. Emami, A. Salar Elahi, Comparison between discrete magnetic coils and multipole coils for measurement of plasma displacement in IR-T1 tokamak. J. Fusion Energy 28(4), 420–426 (2009)
A. Salar Elahi, Plasma magnetic fluctuations measurement on the outer surface of IR-T1 tokamak. J. Fusion Energy 29(1), 1–4 (2010)
A. Salar Elahi et al., Investigation of effects of toroidal field ripple on plasma poloidal beta in IR-T1 tokamak. J. Fusion Energy 29(1), 22–25 (2010)
A. Salar Elahi et al., TF ripple effects on plasma energy confinement time in IR-T1 tokamak. J. Fusion Energy 29(1), 29–31 (2010)
A. Salar Elahi, Measurement of the shafranov parameter in presence of the toroidal field ripple in IR-T1 tokamak. J. Fusion Energy 29(1), 26–28 (2010)
A. Salar Elahi et al., Study of effects of the effective edge safetyfactor on the energy confinement time in IR-T1 tokamak. J. Fusion Energy 29(1), 32–35 (2010)
A. Salar Elahi et al., Experimental study of effects of the internal inductance on the energy confinement time in IR-T1 tokamak. J. Fusion Energy 29(1), 36–40 (2010)
A. Salar Elahi et al., Plasma horizontal displacement measurement using flux loops in IR-T1 tokamak. J. Fusion Energy 29(2), 62–64 (2010)
A. Salar Elahi et al., Determination of the plasma internal inductance and evaluation of its effects on plasma horizontal displacement in IR-T1 tokamak. J. Fusion Energy 29(2), 76–82 (2010)
A. Rahimi Rad, M. Emami, M. Ghoranneviss, A. Salar Elahi, Demonstration of shafranov shift by the simplest grad-shafranov equation solution in IR-T1 tokamak. J. Fusion Energy 29(2), 73–75 (2010)
A. Salar Elahi, Effects of alfvenic poloidal flow and external vertical field on plasma position in IR-T1 tokamak. J. Fusion Energy 29(2), 83–87 (2010)
A. Salar Elahi et al., Relations between the plasma diamagnetic effect and plasma basic parameters in IR-T1 tokamak. J. Fusion Energy 29(2), 88–93 (2010)
A. Salar Elahi et al., Differences between the toroidal and poloidal flux loops in the measurement of plasma position in tokamaks. J. Fusion Energy 29(3), 209–214 (2010)
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Habibian, J., Salar Elahi, A., Salem, M.K. et al. RETRACTED ARTICLE: Edge-Localized Modes (ELM) Modification with Transport Barrier Control in Tokamak by Analytical Strategies. J Inorg Organomet Polym 26, 1061–1065 (2016). https://doi.org/10.1007/s10904-016-0395-6
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DOI: https://doi.org/10.1007/s10904-016-0395-6