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  5. VOL 40, NO 2 (2018)
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  7. 2023 год
  8. 45-5

Electronic modeling

Vol 45, No 5 (2023)

CONTENTS

Mathematical modeling and Computation Methods

 

HAVRYSH V.I.
Mathematical Models of the Temperature Field in Elements of Electronic Devices with Foreign Inclusion
3-19
 

KRASILNIKOV A.I.
Classification of Models of Two-component Mixtures of Symmetrical Distributions with Zero Kurtosis Coefficient
20-38
  NOVOTARSKYI M.A., KUZMYCH V.A.
A Two-level Method for Modeling Fluid Movement Using a Lattice Boltzmann Model and a Convolutional Neural Network
39-53

Informational Technologics

 
ZUBOK V.Yu., DAVYDIUK A.V., KLYMENKO T.M.
Cybersecurity of Critical Infrastructure in Ukrainian Legislation and in Directive (EU) 2022/2555
54-66
  KOROBEYNIKOV F.
Ontology of Goals and Objectives for Organizational Resilience
67-80
  CHAIKIN M.M.
Problems and Prospects of Implementing Assessment of the Level of Maturity of Cyber Security Processes of Critical Infrastructure Objects of the Energy Sector of Ukraine in Accordance with the NIST Cybersecurity Framework
81-88
  BOLILYI V.O., SUKHOVIRSKA L.P., HORDIIENKO Yu.M.
Recognition of User Emotions Using Artificial Intelligence
89-102
  BILOKON O.S.
Software Architecture of Navigation Systems for Control Modules of Robotics
103-112

Application of Modeling Methods and Facilities

 
SERGIYENKO A.M., MOZGHOVYI I.V.
Hardware Decompressor Design
113-128

 

MATHEMATICAL MODELS OF THE TEMPERATURE FIELD IN ELEMENTS OF ELECTRONIC DEVICES WITH FOREIGN INCLUSION

V.I. Havrysh

Èlektron. model. 2023, 45(5):03-19

https://doi.org/10.15407/emodel.45.05.003

ABSTRACT

Linear and non-linear mathematical models for the determination of the temperature field, and subsequently for the analysis of temperature regimes in isotropic media with semi-transparent foreign inclusions that are also subject to external heat load, have been developed. To solve the nonlinear boundary-value problem, a linearizing function was introduced, using which the original nonlinear heat conduction equation and nonlinear boundary conditions were linearized, and as a result, a partially linearized second-order differential equation with partial derivatives and discontinuous and singular coefficients relative to the linearizing function and partially linearized boundary conditions was obtained. For the final linearization of the partially linearized differential equation and boundary conditions, the approximation of the temperature according to one of the spatial coordinates on the boundary surfaces of the inclusion was performed by piecewise constant functions. To solve the obtained linear boundary value problem, the Hankel integral transformation method was used, as a result of which an analytical solution was obtained, which determines the introduced linearizing function. For the numerical analysis of temperature behavior and heat exchange processes caused by external heat load, software tools have been developed, which are used to create a geometric image of temperature distribution depending on spatial coordinates. The obtained results indicate the correspondence of the developed mathematical models of the analysis of heat exchange processes in heterogeneous media with external heating to a real physical process. The obtained results indicate the correspondence of the developed mathematical models of the analysis of heat exchange processes in heterogeneous media with external heating to a real physical process. The developed models make it possible to analyze environments with foreign elements under external thermal loads regarding their thermal resistance. As a result, it becomes possible to increase it and protect it from overheating, which can cause the destruction of not only individual elements, but also the entire structure.

KEYWORDS

temperature field; isotropic heterogeneous medium; thermal conductivity; convective heat exchange; perfect thermal contact; external heating; heat flow; thermosensitivity, half-through foreign inclusion.

REFERENCES

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    https://doi.org/10.1080/01495739608946161
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  8. Aza­ren­kov, V.I. (2012). Issle­do­va­nie i raz­ra­bot­ka tep­lo­voi mo­de­li i me­to­dov ana­li­za tem­pe­ra­tur­nikh po­lei konstruktcii ra­dioelektron­noi ap­pa­ra­tu­ri. Techno­logy au­dit and pro­duc­ti­on re­ser­ves, 3/1(5), 39-
  9. Havrysh, V.I., & Grys­juk, Y.I. (2022). Temperature fields in heterogeneous enviroments­ with consideration of thermal sensitivity. Lviv: Pub­lis­hing hou­se of Lviv Po­li­technic Na­ti­o­­nal Uni­ver­sity.
  10. Vasyl Havrysh. (2022). Modelling temperature field in spatial thermosensitive elements of electronic devices with local thermal heating. У & Orest Kochan (Ред.), Computer Scien­ce and Information Technologies. Materials of the XVIIth International Scientific and Tech­nical Conference, (CSIT-2022), Lviv, Ukraine 10-12 November (547-550).
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  11. Vasyl Havrysh, Lubov Kolyasa, & Svitlana Vozna (2021). Temperature field in a layered plate with local heating. International scientific journal “Mathematical modeling”. Vol. 5, Issue 3, 90-94.

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CLASSIFICATION OF MODELS OF TWO-COMPONENT MIXTURES OF SYMMETRICAL DISTRIBUTIONS WITH ZERO KURTOSIS COEFFICIENT

A.I. Krasilnikov

Èlektron. model. 2023, 45(5):20-38

https://doi.org/10.15407/emodel.45.05.020

ABSTRACT

On the basis of a family of two-component mixtures of distributions, a class K of symmetric non-Gaussian distributions with a zero kurtosis coefficient is defined, which is divided into two groups and five types. The dependence of the fourth-order cumulant on the weight coefficient of the mixture is studied, as a result of which the conditions are determined under which the kurtosis coefficient of the mixture is equal to zero. The use of a two-component mixture of Subbotin distributions for modeling single-vertex symmetric distributions with a zero kurtosis coefficient is justified. Examples of symmetric non-Gaussian distributions with zero kurtosis coefficient are given. The use of class K models gives a practical opportunity at the design stage to compare the effectiveness of the developed methods and systems for non-Gaussian signals with zero coefficients of asymmetry and kurtosis processing.

KEYWORDS

non-Gaussian distributions, two-component mixtures of distributions, cumulative coefficients, skewness coefficient, kurtosis coefficient.

REFERENCES

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A TWO-LEVEL METHOD FOR MODELING FLUID MOVEMENT USING A LATTICE BOLTZMANN MODEL AND A CONVOLUTIONAL NEURAL NETWORK

M. A. Novotarskyi, V.A. Kuzmych

Èlektron. model. 2023, 45(5):39-53

https://doi.org/10.15407/emodel.45.05.039

ABSTRACT

A new two-level method for modeling fluid movement in closed surfaces is proposed. The metod simulates an unsteady hydrodynamic process and includes two levels of description of the modeling process. The first level supports the development of the process over time and is implemented based on the Boltzmann lattice model. At the second level, for each time layer, based on the obtained velocity field, the pressure distribution is refined by modeling the solution of the Poisson equation in the working area using a convolutional neural network, which is pre-trained on a training data set formed for a given set of typical problems. A method combi­ning both technologies is proposed, taking into account the compensation of the compressibi­lity characteristic. The structure and features of neural network training are described. Experiments were conducted on models simulating the human digestive tract in various states. The performance of the developed method is compared with the numerical way of solving the Poisson equation.

KEYWORDS

hydrodynamics, lattice Boltzmann model, Poisson equation, convolutional neural network.

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CYBERSECURITY OF CRITICAL INFRASTRUCTURE IN UKRAINIAN LEGISLATION AND IN DIRECTIVE (EU) 2022/2555

V.Yu. Zubok, A.V. Davydiuk, T.M. Klymenko

Èlektron. model. 2023, 45(5):54-66

https://doi.org/10.15407/emodel.45.05.054

ABSTRACT

The article presents industries, sectors and the main criteria for determining critical facilities cyber security of which is subject to special control, in particular, by state authorities. World-known approaches to defining critical infrastructure and requirements for its cyber security are also presented. The main provisions of Directive (EU) 2022/2555, known as NIS2, and its differences from the previous NIS directive are analyzed. The classification of facilities, industries and sectors with special cyber security control are shown. The expansion in relation to previous provisions was considered for comparison with Ukrainian legislation and practice in order to further assess the scope and directions of work on the harmonization of Ukrainian legal acts with documents of the European Union.

KEYWORDS

NIS2 Directive, cyber security, critical infrastructure, comparative analysis.

REFERENCES

  1. Some issues of critical infrastructure facilities: Resolution of the Cabinet of Ministers of Ukraine from 09.10.2020 р. № 1109: actual on 11 May 2023 р. URL: https://zakon.rada.gov.ua/laws/show/1109-2020-п#Text (accessed: 12.07.2023).
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