### INFORMATION TECHNOLOGIES AND SYSTEMS, COMPUTER TECHNIQUE

MATHEMATICAL MODEL OF THE WORKPLACE
OF MEASURING INSTRUMENTS VERIFICATION AS A NON-STATIONARY SERVICE SYSTEM
Denis S. Ershov, Rustam Z. Khayrullin

701

A model of the workplace for measuring instruments verification as a non-stationary service system with relative priorities of the incoming flow of applications is presented. The model is based on a multidimensional graph construction and corresponding system of Chapman—Kolmogorov equations. The model makes it possible to identify and explain the main patterns and technological parameters of workplace functioning at a qualitative level. The presented model can be used to calculate the throughput of incoming measuring instruments operating under conditions of varying workload over a certain time interval. It is also possible to use the model to substantiate technical requirements when designing workplaces that are supposed to be used in conditions of changing workload.

### HEAT REGIMES AND RELIABILITY OF INSTRUMENTS AND SYSTEMS

INFLUENCE OF PRINTED CONDUCTORS ON THE THERMAL REGIME OF RADIO-ELECTRONIC DEVICES
Svetlana Yu. Sotnikova, Natalia A. Kononova, Leonid B. Lander, Vyacheslav E. Tsvetkov, Stepan V. Yalovnarov

712

The effect of printed conductors tracing on the thermal modes of printed components of radio-electronic devices is investigated. It is shown that the failure to take into account the thermal process in copper printed conductors when assessing the thermal regime of boards at the development stage can lead to large errors in assessing the radio-electronic device reliability. For computer simulation of thermal regimes, the widely used computer-aided design system SolidWorks is used. Comparison of the results of modeling the printed circuit assembly of the rangefinder with the experimental data makes it possible to prove the need to take into account thermal processes in printed conductors when simulating the radio-electronic devices. It is demonstrated that the commonly used thermal models of printed circuit assemblies, which do not take into account metallization, may lead to an error in determining the temperature of electronic elements up to 22 %. This does not make it possible to make a correct decision on ensuring the reliability of the radio-electronic devices.

### TECHNOLOGY OF INSTRUMENT MANUFACTURING

DEVELOPMENT OF A DIGITAL TWIN MODEL
FOR A HYBRID PRODUCTION LINE FOR LED LIGHTING DEVICES ASSEMBLY
Vladimir P. Kuzmenko, Soleniy Sergey V.

725

An example of the choice of hardware and software parts of equipment for creating a digital twin of a hybrid automated assembly line is presented. The necessary functions of the digital twin of the hybrid assembly line of LED lighting devices are described, the functions of the models of the software components of the system managers (Resource Manager, Sensor Manager, Environment Layout Manager) are analyzed. The UML representation of the digital twin data model is given.

### INSTRUMENTS AND METHODS FOR MONITORING THE NATURAL ENVIRONMENT, SUBSTANCES, MATERIALS AND PRODUCTS

EXPERIMENTAL DETERMINATION OF THE SIGNIFICANCE OF STATISTICAL EVALUATION
OF PARAMETERS CHARACTERIZING SECONDARY DIAGNOSTIC INDICATORS
OF ACOUSTIC EMISSION
Yeldos Altay, Fedorov Alexei V, Ksenia A. Stepanova, Dmitry O. Kuzivanov

735

Statistical evaluation of secondary diagnostic indicators of acoustic emission (AE) is an integral part of signal processing after applying filtering methods. AE parameters of acoustic noise obtained while monitoring AE from two tools in the milling process are analyzed using the method of polynomial digital bidirectional filtering. The efficiency of this filtering method is examined by determining the difference between the original and filtered AE signals. Fragments of the information and noise components of the signal are separated to allow for experimental determination of the signal/interference indicator. It is shown that the use of the polynomial digital method of bidirectional filtering improves the quality of signal processing and makes it possible to detect statistically significant correlations between the parameters of AE signals when testing a defective and defect-free instruments. A linear regression model is applied to describe the ratio of secondary diagnostic indicators of a defective instrument to indicators of a defect-free tool during AE monitoring.

### SCIENTIFIC AND PRACTICAL DEVELOPMENTS

THE EFFECT OF FUSED QUARTZ STRUCTURING
BY LASER-INDUCED MICROPLASMA AND PURIFICATION
ON MULTISECTOR BINARY PHASE PLATES OPERATION
Galina K. Kostyuk, Dmitriy S. Stepanyuk, Victoria A. Shkuratova, Petrov Andrei Anatolievich, Nikita A. Nesterov

747

For each stage of phase optical elements (POEs) production, including the POEs recording with laser-induced microplasma and post-processing, the influence on the microgeometry parameters of the microrelief formed on the POE surface, which ensures their high quality and energy conversion efficiency, is studied. The conditions for the each of the POE manufacturing stages implementation providing repeatability of the stage results in terms of the formed microgeometry relief depth and characteristics of its surface roughness, are given. All the studies are carried out using multi-sector binary phase plates chosen for their relative simplicity of design compared to other POEs of a similar purpose. It is shown that the best results on the PHE surface roughness with the complete elimination of graphite particles polluting the surface of multisectoral binary phase plates and possible micro/nanodefects and stresses arising during recording by laser-induced microplasma technology, are achieved by post-processing in the form of annealing at a temperature of 900 ° C for 1 h.

ASSESSMENT OF THE MUTUAL INFLUENCE OF TWO HORN EMITTERS EXCITED
BY POWERFUL BROADBAND PULSES IN THE X-BAND
Olga A. Skorobogatova

763

A technique for numerical estimation of the mutual influence of two contiguous horn emitters excited by powerful broadband pulses in the X-band is proposed. The technique is based on the provisions of the geometric theory of diffraction and the theory of antenna arrays, it includes a numerical solution of the problem of diffraction of a cylindrical wave on a convex dihedral impedance wedge-shaped structure when excited by a non-harmonic pulse. The radiated field is represented as a superposition of incident, reflected, refracted and diffraction fields. With this approach, the consideration of the broadband of the excited signal consists in representing the spectrum of the radiated field in the region under consideration by the product of the spectrum of the excited inharmonic signal on the spatial frequency characteristic of the impedance wedge-shaped structure. An important advantage of the proposed technique is that the accuracy of calculating the spatial frequency response is determined by the accuracy of the asymptotic solution of the wedge diffraction problem for the harmonic case and the choice of the number of sampling points. It is established that the type of spatial-frequency characteristic of a wedge-shaped structure is determined by its electrophysical and geometric parameters, the direction of excitation and observation, and it affects the characteristics and parameters of the excited pulse; at the same time, the high-frequency components of the spectrum are subjected to greater suppression compared to low-frequency ones, leading to a change in its amplitude and an increase in duration, which ultimately affects the efficiency of the transmitted power.