I.K. Belova1, E.O. Deryuginа2, I.V. Сhukhraev3

1-3 Kaluga branch of Bauman Moscow State Technical University (Kaluga, Russia)

One of the main areas of PC application is mathematical and scientific and technical calculations. Complex computational problems arising in the modeling of technical devices and processes can be divided into a number of elementary ones: calculation of integrals, solution of equations, solution of differential equations, etc. For such problems, solution methods have already been developed, mathematical systems have been created. To select software for solving problems related to modeling physical processes using high-current low-inertia thermal cathodes, calculating their parameters and choosing a design depending on operating conditions, it is necessary to organize information and mathematical support for effective scientific and engineering calculations based on theoretical research and experimental data.

High-current plasma systems (HPS) are widely used in various fields of science and technology: in physico-chemical research, high-temperature technologies, plasma metallurgy and welding production, in plasmodynamics and plasma optics, rocket and space and vacuum technology, for solving problems of quantum electronics, etc.

A promising basis for the creation of ATP are incandescent cathodes, heated to operating temperature either by direct transmission of current through the cathode body, or indirectly from a constant source of heat.

Currently, the use of computer technologies for calculating the physical parameters of thermal cathodes is an urgent task. To solve it, it is necessary to transform large data arrays to a form convenient for processing by software. In this case, we can talk about the need to create an information system (IS) for engineering calculations of parameters of high-current low-inertia thermal cathodes and the choice of the necessary cathode or cathode node design. To organize work with IS, it is necessary to create information and mathematical support, based on theoretical research and experimental data.

In engineering problems, very often the parameters we are interested in are calculated by solving second-order partial differential equations. Calculation of parameters of high-current low-inertia thermocathodes is no exception.

The derivation of mathematical dependencies describing the heating time of the thermal cathode under various conditions is based on the solution of the thermal conductivity equation. To simulate various operating conditions of a thermal cathode, it is necessary to know a number of basic properties of the materials from which it is made. During the experiment, a large array of data was collected, which are designed in the form of nomograms. The parameters are calculated according to mathematical dependencies obtained as a result of theoretical research and developed algorithms for modeling various physical processes and calculating the parameters of thermocathodes. This material can become part of the information and mathematical support for the calculation of the parameters of high-current low-inertia thermocathodes, on the basis of which the user of the system can choose suitable software for scientific and engineering calculations of thermocathodes for HPS.

Belova I.K., Deryuginа E.O., Сhukhraev I.V. Mathematical modeling of thermophysical processes in thermocathodes of high-current plasma systems. Information-measuring and Control Systems. 2022. V. 20. № 5. P. 25−36. DOI: https://doi.org/10. 18127/j20700814-202205-05 (in Russian)

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