Tokamak plasma models development for plasma magnetic control systems design by first principle equations and identification approach

Mitrishkin, Yuri V.; Kartsev, Nikolay M.; Prokhorov, A. A.; Pavlova, E.A.; Korenev, Pavel S.; Konkov, Artem E.; Kruzhkov, V.I.; Ivanova, S. V.

doi:10.1016/j.procs.2021.04.167

Cited by 2 publications

(1 citation statement)

References 11 publications

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“…where x i (t) is the state vector, u i (t) is the control action vector, y i (t) is the output vector, A (i) (t), B (i) (t), and C (i) (t) are time-varying matrices of the model, f i (t) and w i (t) are additive disturbance vectors at state and output equations, respectively, index i denotes a characteristic plasma discharge, t ∈ t 0i , T (i) , T (i) is the duration of the discharge, and t 0i is the initial time of discharges when the plasma control system begins to operate. The evolution of plasma position and currents in the Tokamak is described by Faraday's law [35]:…”

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Hierarchical Cascade Control Systems for Time-Dependent Dynamical Plants as Applied to Magnetic Plasma Control in D-Shaped Tokamaks

Mitrishkin

2023

Intels’22

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Hierarchical Cascade Control Systems for Time-Dependent Dynamical Plants as Applied to Magnetic Plasma Control in D-Shaped Tokamaks

Mitrishkin

2023

Intels’22

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New Identification Approach and Methods for Plasma Equilibrium Reconstruction in D-Shaped Tokamaks

et al. 2021

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The paper deals with the identification of plasma equilibrium reconstruction in D-shaped tokamaks on the base of plasma external magnetic measurements. The methods of such identification are directed to increase their speed of response when plasma discharges are relatively short, like in the spherical Globus-M2 tokamak (Ioffe Inst., St. Petersburg, Russia). The new approach is first to apply to the plasma discharges data the off-line equilibrium reconstruction algorithm based on the Picard iterations, and obtain the gaps between the plasma boundary and the first wall, and the second is to apply new identification methods to the gap values, producing plasma shape models operating in real time. The inputs for on-line robust identification algorithms are the measurements of magnetic fluxes on magnetic loops, plasma current, and currents in the poloidal field coils measured by the Rogowski loops. The novel on-line high-performance identification algorithms are designed on the base of (i) full-order observer synthesized by linear matrix inequality (LMI) methodology, (ii) static matrix obtained by the least square technique, and (iii) deep neural network. The robust observer is constructed on the base of the LPV plant models which have the novelty that the state vector contains the gaps which are estimated by the observer, using input and output signals. The results of the simulation of the identification systems on the base of experimental data of the Globus-M2 tokamak are presented.

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Tokamak plasma models development for plasma magnetic control systems design by first principle equations and identification approach

Cited by 2 publications

References 11 publications

Hierarchical Cascade Control Systems for Time-Dependent Dynamical Plants as Applied to Magnetic Plasma Control in D-Shaped Tokamaks

Hierarchical Cascade Control Systems for Time-Dependent Dynamical Plants as Applied to Magnetic Plasma Control in D-Shaped Tokamaks

New Identification Approach and Methods for Plasma Equilibrium Reconstruction in D-Shaped Tokamaks

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