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Vol 45, No 2 (2019)

Tokamaks

Magnetic Islands and Current Filamentation in Tokamaks

Mirnov S.V.

Abstract

It is well known that heat exchange between the hot plasma and solid wall of a magnetic fusion reactor (tokamak or stellarator) depends, to a great extent, on local disturbances of its magnetic configuration, which occur under the action of resonant magnetic perturbations. One possible reason for their development in tokamaks is splitting of an originally axisymmetric current channel into separate filaments. Among negative consequences of such filamentation, there are spatial modulations of the plasma density and temperature, which can considerably increase local heat loads on the tokamak intrachamber elements. This study draws attention to the fact that one of the most dangerous manifestations of current filamentation in tokamaks is the formation of so-called “positive” magnetic islands, which are clearly observed during the development of internal disruptions in the form of “hot spots”—local hot dense helical plasma structures formed in the central region of the plasma column just before the major disruption. An increase in the heating efficiency and improvement of plasma confinement within magnetic islands (which are, in fact, closed magnetic configurations) could explain energy balance in such structures. In this article, stability of such structures and possible sources of initial current disturbances initiating their formation are discussed as illustratively as possible on the basis the initial physical principles, which, in the author’s opinion, can be useful for the experimenters who start solving problems of plasma–wall heat exchange under real tokamak conditions. A number of the well-known experimental observations that can be explained in the framework of this concept are discussed. It is argued that the concept of positive magnetic islands makes it possible to interrelate the sequence of MHD events resulting in the tokamak major disruption.

Plasma Physics Reports. 2019;45(2):87-107
pages 87-107 views

MHD Stability and Energy Principle for Two-Dimensional Equilibria without Assumption of Nested Magnetic Surfaces

Medvedev S.Y., Martynov A.A., Drozdov V.V., Ivanov A.A., Poshekhonov Y.Y., Konovalov S.V., Villard L.

Abstract

Abandoning the assumption of nested magnetic surfaces in tokamak plasma expands the field of research and opens up new approaches for both theoretical and experimental plasma physics. The computer code KINX for calculations of the ideal MHD stability was developed for studies of doublet plasmas with two magnetic axes and using block-structured grids in each subdomain with nested magnetic surfaces. Then, the MHD_NX code on unstructured grids was developed to calculate the stability of two-dimensional equilibria with an arbitrary topology of magnetic surfaces. The study of equilibrium and stability of equilibrium configurations with toroidal current density reversal and axisymmetric n = 0 islands, which are associated with internal transport barrier and low current density at the magnetic axis, as well as with the operation of tokamaks in the alternating current regime, leads to more general issues of MHD stability of two-dimensional solutions of the Grad−Shafranov equations with islands under other types of symmetry—chain of islands in helical symmetry and cylindrically symmetric m = 0 islands in configurations with the longitudinal field reversal. New ideal MHD unstable modes have been discovered for various types of two-dimensional island configurations. The energy principle with MHD-compatible boundary conditions at open magnetic field lines is necessary for the self-consistent stability analysis of divertor configurations in tokamaks with a finite current density at the separatrix, taking into account the plasma outside the separatrix. Several codes have been developed for calculations of plasma equilibrium and stability, taking into account the influence of currents outside the separatrix, which are ready for integration with other codes for edge plasma modeling.

Plasma Physics Reports. 2019;45(2):108-120
pages 108-120 views

Magnetic Confinement Systems

Studies of Galatea Multipole Traps at the Russian Technoligical University MIREA

Bishaev A.M., Gavrikov M.B., Kozintseva M.V., Savelyev V.V., Smirnov P.G.

Abstract

Results from studies of plasma production and confinement in Galatea multipole magnetic traps at the Russian Technological University MIREA are presented. The magnetic systems of such traps are considered. It is shown that it is possible to design a system in which plasma bunches and neutral atomic beams are injected along the major radius of the torus. Different methods of plasma production in such traps are studied. It is shown that plasma production by means of an electric discharge is inefficient. The process of loading of the trap with plasma by injecting a plasma bunch is studied in detail. The parameters of the plasma bunch at which it is efficiently captured by the trap are determined. The azimuthal diamagnetic current arising after the plasma bunch is injected into the trap is measured using a Rogowski coil. The interaction of this current with the magnetic field of the trap results in the appearance of the Ampère forces confining the plasma. The plasma temperature in the trap can be determined from the measured value of the diamagnetic current. It is shown that it is possible to design a laboratory prototype of a trap with two levitating coils. The magnetic field and ion temperature in such a trap are estimated to be 0.37 T and >300 eV, respectively.

Plasma Physics Reports. 2019;45(2):121-133
pages 121-133 views

Plasma Thrusters

Control of Coherent Structures via External Drive of the Breathing Mode

Romadanov I., Raitses Y., Smolyakov A.

Abstract

The Hall thruster exhibits two types of large-scale coherent structures: axially propagating breathing mode (m = 0) and azimuthal, with low m, typically m = 1, spoke mode. In our previous work, it was demonstrated that axial breathing mode can be controlled via the external modulations of the anode potential. Two regimes of the thruster response, linear and nonlinear, have been revealed depending on the modulation amplitude. In this work, using the high-speed camera images and developed image-processing technique, we have investigated the response of the azimuthal mode to the external modulations. We have found that, in linear regime, at low modulation voltages, axial and azimuthal structures coexist. At larger amplitudes, in the nonlinear regime, the azimuthal mode is suppressed, and only axial driven mode remains.

Plasma Physics Reports. 2019;45(2):134-146
pages 134-146 views

Particle Acceleration in Plasma

MHD Model of Interaction of the QSPA Plasma Flow with the Magnetic Field of a Current-Carrying Ring Conductor

Kozlov A.N.

Abstract

Injection of high-speed plasma flows into a region with a magnetic field created by a current-carrying ring conductor is considered. Analysis is performed on the basis of MHD equations expressed through the vector potential of the magnetic field with allowance for the electric conductivity, thermal conductivity, and radiation transport. The results of numerical experiments demonstrate the possibility of using plasma accelerators as injectors for magnetic confinement devices.

Plasma Physics Reports. 2019;45(2):147-158
pages 147-158 views

Plasma Dynamics

Orbital Maneuvers of Earth Observing Satellites Using Electric Propulsion Systems

Kazeev M.N., Khodnenko V.P.

Abstract

The paper gives examples of orbital maneuver execution of spacecraft (SC) using orbit correction propulsion system (OCPS) based on electric propulsion (EP). The high velocity of the propellant flow achieved in EP allows for orbital maneuvers with significantly lower propellant flow rate than in conventional propulsion systems. The time required to perform the orbital maneuvers using EP is connected with the available on-board power. It is typically much greater than such time needed for conventional jet propulsions. The advantages of EP are realized if mission allows a long-time operation of the propulsion system. Since the early 1970s stationary plasma thrusters (SPTs) developed on the base on the concept proposed by A.I. Morozov are used on the SC Meteor. With the help of OCPS based on SPT EOL-1, SC Meteor was installed on the conventionally synchronous orbit, which provides a fixed grid of tracks with a period of T = 102.31 min. In this case, a complete overview of all daily Earth’s surface with the bandwidth of 2900 km is obtained. In recent decades, there has been a steady trend toward miniaturization of space equipment, which requires the development of acceptable thrusters to meet new requirements. Typical total impulses of thrust required for OCPS are reduced several times. At present, a number of space constellations are being developed in Russia based on small SC with a mass from 60 to 500 kg. VNIIEM Corporation creates a space constellation IONOZOND, designed to monitor the geophysical conditions. The description of the IONOZOND constellation is given and the options for using of various OCPS, in particular, based on SPT, ion and pulsed plasma thrusters are considered. It is shown that their use in small SC can significantly increase the economic efficiency of remote sensing orbital constellations.

Plasma Physics Reports. 2019;45(2):159-165
pages 159-165 views

Plasma Accelerators

Experimental Studies of High-Energy Quasi-Steady Plasma Streams Generated by a Magnetoplasma Analogue of the Laval Nozzle in the Compression and Acceleration Regimes

Garkusha I.E., Solyakov D.G., Chebotarev V.V., Makhlay V.A., Kulik N.V.

Abstract

Results of many-year-long studies of high-power quasi-stationary acceleration and compression systems whose channel is a magnetoplasma analogue of the Laval nozzle are summarized. Double-stage quasi-stationary plasma accelerators with channels made of rod electrodes or complicated magnetoplasma transformers are described. Results are presented from experimental studies of acceleration and compression systems. It is shown that, in the optimal operating regime corresponding to the proper choice of the initial and boundary conditions, plasmadynamic devices are able to generate plasma streams with parameters close to the theoretical limit for given experimental conditions. A unique set of parameters of the generated streams were achieved: the density of the accelerated stream of up to 1016 cm–3 at a maximum velocity of (4–4.2) × 107 cm/s and the density of the compressed stream of up to 1019 cm–3 at a plasma temperature of 60–100 eV. The total energy content in the accelerated plasma streams reaches 0.9–0.95 MJ at an accelerating channel efficiency of 0.8–0.9. The generation time of accelerated stream amounts to 150–200 particle flight times along the channel of the plasmadynamic device, while the lifetime of the compression region reaches 20–30 particle flight times.

Plasma Physics Reports. 2019;45(2):166-178
pages 166-178 views