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Пустовитов, Владимир Дмитриевич

Организационные подразделения

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Институт лазерных и плазменных технологий

Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.

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Пустовитов

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Владимир Дмитриевич

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Теперь показываю 1 - 10 из 12

Только метаданные
Diagnostic Potentials of Diamagnetic Measurements with Two Loops in Tokamaks
(2020) Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
© 2020, Pleiades Publishing, Ltd.Abstract—: The magnetic flux through the diamagnetic loop consists of two parts: one is produced by the poloidal current in the plasma and another by the external currents. Separation of these parts is the focus of the study, which is fully analytical. The system is assumed to be axially symmetric. Then the “inductances” in the flux–current relations are expressed via easily tractable integrals. With such precisely defined coefficients, the theoretical possibility of perfect separation by means of two independent simultaneous measurements is demonstrated. The desired result can be obtained with quantities measured by either double-loop method or with a single diamagnetic loop and a correction coil. This conclusion is more optimistic that those in the generally accepted concepts. An additional step is proposed to determine, with the same magnetic data, the poloidal current induced in the vacuum vessel wall. This current can be useful for evaluation of the disruption force on the wall. The proposed algorithms can be used in existing tokamaks with two loops and in the ITER as well.
Только метаданные
Extension of Shafranov’s Equilibrium Theory to the Description of Current Quenches Affected by Resistive Wall Dissipation in Tokamaks
(2019) Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
© 2019, Pleiades Publishing, Ltd.Abstract: An equation for the plasma column position in a tokamak is derived with account of the resistive wall reaction on the changes in the plasma. A similar problem was considered by V.D. Shafranov [J. Nucl. Energy C 5, 521 (1963)] but for a fixed plasma current. Here, this current is treated as time-dependent, which allows to cover the current quenches and expand the study to the analysis of disruptions. It is shown that the net toroidal current induced in the wall during the current quench (which is not accounted for in the mentioned and related existing analytical models) can strongly affect the plasma equilibrium. A general algorithm applicable to arbitrary tokamaks is presented. For a large-aspect-ratio “circular” tokamak a full cycle of the step-by-step reduction of a problem is carried out down to the equation for the plasma shift evolution. The technique and results are ready for use with standard equilibrium solvers and models.
Только метаданные
Toroidal and poloidal vessel currents during asymmetrical disruptions on COMPASS
(2019) Matveeva, E.; Havlicek, J.; Havranek, A.; Yanovskiy, V.; Pustovitov, V.; Пустовитов, Владимир Дмитриевич
Только метаданные
Comment on "certain clarifications on the resistive wall mode theorem and extensions" [Phys. Plasmas (2022) 29 (024502))
(2022) Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
Только метаданные
Theoretically assisted and empirical scalings in the problem of determination of internal inductance in tokamaks
(2023) Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
Только метаданные
Electromagnetic Estimates of the Internal Inductance in Tokamaks
(2023) Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
Только метаданные
Analysis of Electromagnetic Loads on the Vacuum Vessel during Thermal Quench in the TRT Tokamak
(2021) Khayrutdinov, R. R.; Lukash, V. E.; Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
© 2021, Pleiades Publishing, Ltd.Abstract: The analysis is performed of electromagnetic loads on the vacuum vessel (“wall”) of the TRT tokamak during thermal quench. The calculations are performed using the DINA code. The rapid thermal quench and subsequent plasma evolution are considered. The tokamak is treated as axially symmetric and the wall is modeled by a set of ring conductors. Accordingly, only the toroidal currents induced in the wall and the forces associated with them are taken into account. For such formulation of the problem, it is shown that, after the thermal quench, the total radial force acting on the TRT vacuum vessel is approximately 8 MN, being approximately 17% lower than the analytical estimates. This force is non-uniformly distributed along the poloidal contour; its local maxima are 2.8 times higher than the average level. Therefore, such loads should be taken into account when designing the TRT tokamak.
Только метаданные
Analytical Solution to External Equilibrium Problem for Plasma with Elliptic Cross Section in a Tokamak
(2021) Chukashev, N. V.; Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
© 2021, Pleiades Publishing, Ltd.Abstract: Expressions are obtained for the magnetic field created by the currents flowing in the tokamak plasma with elliptic cross section. The analytical approach is based on the Green function method, which ensures the exact separation of the desired solution for given boundary conditions and its correct asymptotic behavior at infinity. The system toroidicity is retained in the linear approximation, as it is done in the standard models of the equilibrium theory, but the magnetic field B at the plasma boundary is described with account for the second harmonic in the poloidal angle. This fact, as well as the noncircular shape of the plasma boundary, on which the inner and outer solutions for the field B must be matched, radically changes the nature of the problem. A detailed description of the techniques for including new elements into the general scheme is given. The result is presented in terms of the poloidal flux as a function of coordinates; its gradient determines the local values of the self field.
Только метаданные
Effect of Pressure Anisotropy on Diamagnetic Signal in a Tokamak with Noncircular Plasma Cross Section
(2021) Ryabushev, E. A.; Pustovitov, V. D.; Пустовитов, Владимир Дмитриевич
© 2021, Pleiades Publishing, Ltd.Abstract: The relation is analyzed between the diamagnetic signal and the current and pressure of anisotropic plasma in a tokamak. Such a relation is well-known for the cylindrical plasma with a circular cross section, but, in this study, the plasma shape is assumed to be arbitrary, and both the system toroidicity and plasma anisotropy are accounted for. This considerably complicates the calculations and requires the integration of the generalized Grad–Shafranov equation. The analytical derivations are performed by the scheme used for the isotropic plasma in [V. D. Pustovitov, Fusion Eng. Des. 117, 1 (2017)]. Estimates are made for a large group of terms arising due to the anisotropy, and the main effect is extracted. The result is ready for practical use.
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General Approach to the Evolving Plasma Equilibria with a Resistive Wall in Tokamaks
(2023) Pustovitov, V. D.; Chukashev, N. V.; Пустовитов, Владимир Дмитриевич
The dynamic problem of plasma equilibrium in a tokamak is considered taking into account the electromagnetic reaction of the vacuum vessel resistive wall. The currents induced in the wall during transient events contribute to the external magnetic field that determines the plasma shape and position. Accordingly, the plasma geometry must evolve so that the inductive excitation of the wall current would properly compensate for the resistive losses. Simultaneous consideration of these factors presents the main difficulty of the description. It is performed in a general form using the GreenвЂ™s function method that guarantees the mathematical accuracy of expressions for the magnetic fields from each source. At the same time, it is desirable to minimize the related complications, which is one of the goals here. The starting point is the standard solution of the external equilibrium problem given by integral relating the poloidal magnetic flux to the magnetic field at the plasma boundary. In the evolutionary problem, the additional equations for the plasma-wall electromagnetic coupling are transformed to an equation with a similar integral over the wall, but with either the time derivative of the poloidal magnetic flux or the wall current density in the integrand. The mentioned similarity allows to use the already developed techniques, which makes this formulation compact and convenient. It provides the basis for extension of the existing analytical theory of equilibrium to the case with non-circular plasma and wall.