Geodesic
Toroidal current control in the problem of plasma equilibrium evolution
Matematičeskoe modelirovanie, Tome 25 (2013) no. 11, pp. 33-43.

Voir la notice de l'article provenant de la source Math-Net.Ru

The results of application of automatic control methods to the problem of the given total current sustainment in toroidal plasma are presented. Plasma current control is performed mainly by solenoid with the use of electromagnetic inductance effect. The mathematical problem is formulated, the methods and developed software are described, and the solutions of test and real problems are given. Comparison of experimental and numerical data allows drawing a conclusion on the nature of plasma conductivity in spherical tokamaks.
Keywords: automatic control, controlled thermonuclear fusion. 
@article{MM_2013_25_11_a2,
     author = {D. P. Kostomarov and F. S. Zaitsev and A. G. Shishkin and F. A. Anikeev and E. V. Dontsov},
     title = {Toroidal current control in the problem of plasma equilibrium evolution},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--43},
     publisher = {mathdoc},
     volume = {25},
     number = {11},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_11_a2/}
}
TY  - JOUR
AU  - D. P. Kostomarov
AU  - F. S. Zaitsev
AU  - A. G. Shishkin
AU  - F. A. Anikeev
AU  - E. V. Dontsov
TI  - Toroidal current control in the problem of plasma equilibrium evolution
JO  - Matematičeskoe modelirovanie
PY  - 2013
SP  - 33
EP  - 43
VL  - 25
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2013_25_11_a2/
LA  - ru
ID  - MM_2013_25_11_a2
ER  - 
%0 Journal Article
%A D. P. Kostomarov
%A F. S. Zaitsev
%A A. G. Shishkin
%A F. A. Anikeev
%A E. V. Dontsov
%T Toroidal current control in the problem of plasma equilibrium evolution
%J Matematičeskoe modelirovanie
%D 2013
%P 33-43
%V 25
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2013_25_11_a2/
%G ru
%F MM_2013_25_11_a2
D. P. Kostomarov; F. S. Zaitsev; A. G. Shishkin; F. A. Anikeev; E. V. Dontsov. Toroidal current control in the problem of plasma equilibrium evolution. Matematičeskoe modelirovanie, Tome 25 (2013) no. 11, pp. 33-43. http://geodesic.mathdoc.fr/item/MM_2013_25_11_a2/

[1] Ofitsialnyi sait proekta ITER http://www.iter.org

[2] Zaitsev F. S., Matematicheskoe modelirovanie evolyutsii toroidalnoi plazmy, 2-e izd., MAKS Press, M., 2011

[3] Ariola M., Pironti A., Magnetic Control of Tokamak Plasmas, Springer, London, 2008 | MR | Zbl

[4] Mitrishkin Yu. V., Korostelev A. Ya., “Sistema s prognoziruyuschei modelyu dlya upravleniya formoi i tokom plazmy v tokamake”, Problemy upravleniya, 2008, no. 5

[5] Dokuka V. N., Kadurin A. V., Mitrishkin Yu. V., Khairutdinov R. R., “Sintez i modelirovanie $H_\infty$-sistemy magnitnogo upravleniya plazmoi v tokamake-reaktore”, Avtomatika i telemekhanika, 2007, no. 8

[6] Kostomarov D. P., Zaitsev F. S., Akers R. J., Shishkin A. G., “Investigation of the electrical conductivity of a plasma in a spherical tokamak”, Doklady Physics, 9:6 (2004), 350–353 | DOI | MR | Zbl

[7] Kwakernaak H., Sivan R., Linear optimal control systems, Wiley-Intersci., New York, 1972 | MR | Zbl

[8] Dnestrovskii Yu. N., Kostomarov D. P., Matematicheskoe modelirovanie plazmy, Nauka, M., 1993

[9] Yanushevskii R. T., Upravlenie ob'ektami s zapazdyvaniem, Nauka, M., 1978 | MR

[10] Ogata K., Discrete-Time Control Systems, Prentice Hall International, Inc., New Jersey, Englewood Cliffs, 1995

[11] Lancaster P., Rodman L., Algebraic Riccati equations, Clarendon Press, Oxford, 1995 | MR | Zbl

[12] http://www.mathworks.com/