Abstract
The possibility is discussed of determining the amplitude and phase of a static resonant error field in a tokamak by means of dynamic magnetic measurements. The method proposed assumes measuring the plasma response to a varying external helical magnetic field with a small (a few gauss) amplitude. The case is considered in which the plasma is probed by square pulses with a duration much longer than the time of the transition process. The plasma response is assumed to be linear, with a proportionality coefficient being dependent on the plasma state. The analysis is carried out in a standard cylindrical approximation. The model is based on Maxwell’s equations and Ohm’s law and is thus capable of accounting for the interaction of large-scale modes with the conducting wall of the vacuum chamber. The method can be applied to existing tokamaks.
Similar content being viewed by others
References
ITER Physics Basis Editors, ITER Physics Expert Group Chairs and Co-Chairs, and ITER Joint Central Team and Physics Integration Unit, Nucl. Fusion 39, 2137 (1999).
T. C. Hender, J. C. Wesley, J. Bialek, et al., Nucl. Fusion 47, S128 (2007).
A. M. Garofalo, M. S. Chu, E. D. Fredrickson, et al., Nucl. Fusion 41, 1171 (2001).
M. Okabayashi, J. Bialek, M. Chance, et al., J. Plasma Fusion Res. SERIES 5, 42 (2002).
A. M. Garofalo, T. H. Jensen, L. C. Johnson, et al., Phys. Plasmas 9, 1997 (2002).
A. M. Garofalo, R. J. La Haye, and J. T. Scoville, Nucl. Fusion 42, 1335 (2002).
M. Okabayashi, J. Bialek, M. S. Chance, et al., Plasma Phys. Controlled Fusion 44, B339 (2002).
E. J. Strait, J. Bialek, N. Bogatu, et al., Nucl. Fusion 43, 430 (2003).
A. M. Garofalo, T. H. Jensen, and E. J. Strait, Phys. Plasmas 10, 4776 (2003).
H. Reimerdes, J. Bialek, M. S. Chance, et al., Nucl. Fusion 45, 368 (2005).
M. Okabayashi, J. Bialek, A. Bondeson, et al., Nucl. Fusion 45, 1715 (2005).
E. J. Strait, A. M. Garofalo, G. L. Jackson, et al., Phys. Plasmas 14, 056101 (2007).
R. J. Buttery, M. Valovič, C. D. Warrick, et al., Nucl. Fusion 41, 985 (2001).
V. D. Pustovitov, Nucl. Fusion 45, 245 (2005).
S. M. Wolfe, I. H. Hutchinson, R. S. Granetz, et al., Phys. Plasmas 12, 056110 (2005).
J. L. Luxon, M. J. Schaffer, G. L. Jackson, et al., Nucl. Fusion 43, 1813 (2003).
V. D. Pustovitov, Nucl. Fusion 47, 563 (2007).
S. D. Pinches, B. Alper, R. J. Buttery, et al., in Proceedings of the 30th EPS Conference on Controlled Fusion and Plasma Physics, St. Petersburg, 2003, ECA 27A, P–1.93 (2003).
T. C. Hender, M. Gryaznevich, Y. Q. Liu, et al., in Proceedings of the 20th IAEA Fusion Energy Conference, Vilamoura, 2004, http://www-naweb.iaea.org/napc/physics/fec/fec2004/papers/ex_p2-22.pdf.
V. D. Pustovitov, Pis’ma Zh. Éksp. Teor. Fiz. 78, 727 (2003) [JETP Lett. 78, 281 (2003)].
V. D. Pustovitov, Fiz. Plazmy 30, 211 (2004) [Plasma Phys. Rep. 30, 187 (2004)].
V. D. Pustovitov, in Proceedings of the Joint Varenna-Lausanne International Workshop, Varenna, 2004, p. 227.
A. I. Morozov and L. S. Solov’ev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1967), Vol. 3.
H. Reimerdes, T. C. Hender, S. A. Sabbagh, et al., Phys. Plasmas 13, 056107 (2006).
A. H. Boozer, Phys. Plasmas 10, 1458 (2003).
A. H. Boozer and D. Maslovsky, in Proceedings of the 31st EPS Conference on Plasma Physics, London, 2004, ECA 28G, P–2.159 (2004).
A. B. Mikhailovskii, S. V. Konovalov, V. D. Pustovitov, and V. S. Tsypin, Phys. Plasmas 7, 2530 (2000).
V. D. Pustovitov, Phys. Plasmas 14, 022 501 (2007).
V. D. Pustovitov, Phys. Plasmas 14, 082 506 (2007).
A. M. Garofalo, A. D. Turnbull, E. J. Strait, et al., Phys. Plasmas 6, 1893 (1999).
S. A. Sabbagh, A. C. Sontag, J. M. Bialek, et al., Nucl. Fusion 46, 635 (2006).
G. Matsunaga, M. Takechi, G. Kurita, et al., Plasma Phys. Controlled Fusion 49, 95 (2007).
Y. Gribov and V. D. Pustovitov, in Proceeding of the 19th IAEA Fusion Energy Conference, Lyon, 2002, http://www.iaea.org/programmes/ripc/physics/fec2002/pdf/ctp_12.pdf.
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.D. Pustovitov, 2008, published in Fizika Plazmy, 2008, Vol. 34, No. 1, pp. 20–26.
Rights and permissions
About this article
Cite this article
Pustovitov, V.D. Determination of the resonant harmonics of the error field from dynamic magnetic measurements in a tokamak. Plasma Phys. Rep. 34, 18–23 (2008). https://doi.org/10.1134/S1063780X08010029
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X08010029