Abstract
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. The comparison of experimental and numerical data allows drawing a conclusion on the nature of plasma conductivity in spherical tokamaks.
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References
Official site of ITER project, www.iter.org.
F. S. Zaitsev, Mathematical Modeling of the Toroidal Plasma Evolution, 2nd ed. (MAKS Press, Moscow, 2011) [in Russian].
M. Ariola and A. Pironti, Magnetic Control of Tokamak Plasmas (Springer, London, 2008).
Yu. V. Mitrishkin and A. Ya. Korostel’ov, “A system with a predictive model to control the shape and current of plasma in tokamak,” Probl. Upr., No. 5 (2008).
V. N. Dokuka, A. V. Kadurin, Yu. V. Mitrishkin, and R. R. Khairutdinov, “Fusion and modeling of a H∞-system of magnetic control of plasma in a tokamak-reactor,” Avtom. Telemekh., No. 8 (2007).
D. P. Kostomarov, F. S. Zaitsev, R. J. Akers, and A. G. Shishkin, “Investigation of the electrical conductivity of a plasma in a spherical tokamak,” Dokl. Phys., 9(6) 350–353 (2004).
H. Kwakernaak and R. Sivan, Linear Optimal Control Systems (Wiley-Intersci., New York, 1972).
Yu. N. Dniestrovskii and D. P. Kostomarov, Mathematical Simulation of Plasma (Nauka, Moscow, 1993) [in Russian].
R. T. Yanushevskii, Control of Objects with Delay (Nauka, Moscow, 1978) [in Russian].
K. Ogata, Discrete-Time Control Systems (Prentice Hall International, Inc., New Jersey, Englewood Cliffs: 1995).
P. Lancaster and L. Rodman, Algebraic Riccati Equations (Clarendon Press, Oxford, 1995).
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Original Russian Text © D.P. Kostomarov, F.S. Zaitsev, A.G. Shishkin, F.A. Anikeev, E.V. Dontsov, 2013, published in Matematicheskoe Modelirovanie, 2013, Vol. 25, No. 11, pp. 33–43.
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Kostomarov, D.P., Zaitsev, F.S., Shishkin, A.G. et al. Toroidal current control in the problem of plasma equilibrium evolution. Math Models Comput Simul 6, 248–255 (2014). https://doi.org/10.1134/S2070048214030089
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DOI: https://doi.org/10.1134/S2070048214030089