Study of Effective Edge Safety Factor Using Analytical Solution of Grad-Shafranov Equation for Circular Cross Section Tokamak

M. Asif

Department of Physics, COMSATS Institute of Information Technology, Lahore, Pakistan.

DOI: 10.4236/jmp.2013.46102                

Abstract

In this work, we present effective edge safety factor using analytical solution of the Grad-Shafranov equation based on expansion of free functions of first order and magnetic probes for circular cross section HT-7 tokamak.

Keywords

Horizontal Displacement; Tokamak

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A. S. Elahi and M. Ghoranneviss, Physica Scripta, Vol. 80, 2009, Article ID: 0555024.
[2]	A. R. Rad and M. Ghoranneviss, Physica Scripta, Vol. 81, 2010, Article ID: 045502.
[3]	A. S. Elahi and M. Ghoranneviss, Physica Scripta, Vol. 82, 2010, Article ID: 025502.
[4]	J. P. Freidberg, “Ideal MHD,” Clarendon, Oxford, 1987.
[5]	L. Guazzotto and J. P. Freidberg, Physics Plasmas, Vol. 14, 2007, Article ID: 112508.
[6]	M. Shimada, et al., Nuclear Fusion, Vol. 47, 2007, pp. S1-S17. doi:10.1088/0029-5515/47/6/S01
[7]	C. V. Atanasiu, S. Günter, K. Lackner and I. G. Miron, Physics Plasmas, Vol. 14, 2004, p. 3510.
[8]	G. S. Lee, et al., Nuclear Fusion, Vol. 41, 2001, pp. 1515-1523. doi:10.1088/0029-5515/41/10/318
[9]	S.-H. Seo, Physics Plasmas, Vol. 16, 2009, Article ID: 032501.
[10]	S. G. Lee, J. G. Bak, E. M. Ka, J. H. Kim and S. H. Hahn, Review of Scientific Instruments, Vol. 79, 2008, Article ID: 10F117.
[11]	A. J. H. Donné, et al., Nuclear Fusion, Vol. 47, 2007, pp. S337-S384. doi:10.1088/0029-5515/47/6/S07
[12]	F. Najmabadi and the ARIES Team, Fusion Engineering and Design, Vol. 65, 2003, pp. 143-164. doi:10.1016/S0920-3796(02)00302-2
[13]	L. Guazzotto, R. Betti, J. Manickam and S. Kaye, Physics Plasmas, Vol. 11, 2004, p. 604.
[14]	A. S. Elahi, M. Ghoranneviss, M. Emami and A. R. Rad, Journal of Fusion Energy, Vol. 28, 2009, pp. 346-349. doi:10.1007/s10894-009-9198-x
[15]	C. V. Atanasiu, Proceedings of 30th EPS Conference on Controlled Fusion and Plasma Physics, Vol. 27A, ECA, St Petersburg, 2003, p. 2104.
[16]	M. Asif, X. Gao, J. G. Li and B.N. Wan, Physics Letters A, Vol. 336, 2005, pp. 61-65. doi:10.1016/j.physleta.2005.01.004
[17]	M. Asif, Magnetohydrodynamics, Vol. 47, 2011, pp. 11-16.
[18]	M. Asif, Magnetohydrodynamics, Vol. 48, 2012, pp. 485-492.
[19]	M. Asif, Modern Physics Letters B, Vol. 26, 2012, pp. Article ID: 1250117.
[20]	S. B. Zheng, A. J. Wootton and E. R. Solano, Physics Plasmas, Vol. 3, 1996, pp. 1176-1178. doi:10.1063/1.871772
[21]	A. R. Rad, M. Emami, M. Ghoranneviss and A. S. Elahi, Journal of Fusion Energy, Vol. 28, 2010, pp. 73-75. doi:10.1007/s10894-009-9236-8
[22]	B. Shen, Y. W. Sun, B. N. Wan and J. P. Qian, Review of Scientific Instruments, Vol. 78, 2007, Article ID: 093501.
[23]	V. S. Mukhovatov and V. D. Shafranov, Nuclear Fusion, Vol. 11, 1971, pp. 605-634. doi:10.1088/0029-5515/11/6/005
[24]	H. Ninomiya and N. Suzuki, Japanese Journal of Applied Physics, Vol. 21, 1982, pp. 1323-1327. doi:10.1143/JJAP.21.1323
[25]	M. Asif, X. Gao, J. G. Li and B. N. Wan, Physics Letters A, Vol. 342, 2005, pp. 175-180. doi:10.1016/j.physleta.2005.05.032
[26]	M. Asif, et al., Physics Plasmas, Vol. 12, 2005, Article ID: 082502.
[27]	L. S. Solovyev, Journal of Experimental and Theoretical Physics, Vol. 26, 1968, p. 400.
[28]	A. R. Rad and M. Ghoranneviss, Journal of Fusion Energy, Vol. 32, 2013, pp. 405-409. doi:10.1007/s10894-012-9583-8
[29]	S. Elahi, et al., Journal of Fusion Energy, Vol. 28, 2009, pp. 385-389. doi:10.1007/s10894-009-9207-0
[30]	M. Asif and X. Gao, Brazilian Journal of Physics, Vol. 36, 2006, pp. 190-193. doi:10.1590/S0103-97332006000200011
[31]	T. N. Todd, Proceedings of the 2nd European Tokamak Programme Workshop, European Physical Society, Sault-Les-Chartreux, 1983, p. 123.