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  8. 40-4

Electronic modeling

Vol 40, No 4 (2018)

https://doi.org/10.15407/emodel.40.04

CONTENTS

Mathematical Modeling and Computation Methods

  KRASILNIKOV A.I.
The Application of Mixtures of Shifted Distributions with Uniform Distribution of the Shift Value for Modeling Perforated Random Variables
3-18
  HUSEYNZADE S.O.
Restoration of Pressure at the Pool Boundary Based on the Solution of Inverse Problem
19-28

Computational Processes and Systems

  EFANOV D.V., SAPOZHNIKOV V.V., SAPOZHNIKOV Vl.V.
The Research of Two-modulus Codes with Summation of Unit Bits with Calculation by Modulo “Four”
29-54

Application of Modeling Methods and Facilities

  KUTSAN Yu.G., GURIEIEV V.O., LYSENKO Ye.M.
Modeling and Development of an Adap- tive Automated System for Creating the Emergency Training Scenarios
55-64
  VYNNYCHUK S.D., SHESTAKOV A.A., CHYRVA A.A.
Identification of Parameters of the Model of Thermal and Hydraulic Processes in the Crossflow Heat Exchanger, Based on the Analogy Between Thermal and Hydraulic Resistances
65-82
  TOROP V.M., SAPRYKINA G.Yu, VOROBIOV Yu.S.
Development of Mathematical Models of a Working Blade of a Steam Turbine K-1000-60/3000 with the Aim of Predicting Residual Life
83-94
  PLESKACH B.M.
Application of the Method for Modeling Precedents for Monitoring the Energy State of Technological Equipment
95-106

Short Notes

  MOKHOR V.V., HONCHAR S.F.
The Idea of the Construction of the Algebra of Risks on the Basis of the Theory of Complex Numbers
107-112

THE APPLICATION OF MIXTURES OF SHIFTED DISTRIBUTIONS WITH UNIFORM DISTRIBUTION OF THE SHIFT VALUE FOR MODELING PERFORATED RANDOM VARIABLES

A.I. Krasilnikov Cand. Sc. (Phys.-Math.)
Institute of Technical Thermal Physics, 2a Zhelyabov St, Kyiv, 03057, Ukraine,
e-mail: tangorov@ukr. net)

Èlektron. model. 2018, 40(4):03-18
https://doi.org/10.15407/emodel.40.04.003

ABSTRACT

The properties of mixtures of shifted distributions with a uniform distribution of the shift value have been analyzed. It is shown that the probability density of the mixture is continuous and unimodal. The properties of cumulant coefficients of mixtures of shifted distributions have been investigated. The models of perforated random variables based on a mixture of shifted Gaussian and logistic distributions have been constructed.

KEYWORDS

cumulant coefficients, moment-cumulant models, cumulant analysis, perforated distributions, mixtures of distributions.

REFERENCES

  1. Malakhov, N. (1978), Kumuliantnyi analiz sluchainykh negaussovykh protsessov i ikh preobrazovanii [Cumulant analysis of random non-Gaussian processes and their transforma- tions], Sovetskoe radio, Moscow, USSR.
  2. Kunchenko, P. (2001), Polinomialnye otsenki parametrov blizkikh k gaussovskim sluchai- nykh velichin. Ch. I. Stokhasticheskie polinomy, ikh svoistva i primeneniya dlia nakhozhdeniia otsenok parametrov [Polynomial estimations of parameters of random variables close to Gaussians. Part I. Stochastic polynomials, their properties and application for finding Pa- rameter Estimations], ChITI, Cherkassy, Ukraine.
  3. Alexandrou, , De Moustier, C. and Haralabus, G. (1992), Evaluation and verification of bottom acoustic reverberation statistics predicted by the point scattering model, J. Acoust. Soc. Am., Vol. 91, no. 3, pp. 1403-1413. https://doi.org/10.1121/1.402471
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  6. Kuznetsov, F., Borodkin, D.K. and Lebedeva, L.V. (2013), “Cumulant models of addi- tional errors”, Sovremennye tekhnologii. Sistemnyi analiz.  Modelirovanie,  no.  1  (37), pp. 134-138.
  7. Harmash, O.V. and Krasilnikov, A.I. (2017), “Cumulant methods for detecting acoustic emis- sion signals”, Scientific Proceedings of STUME, Vol. ÕXV, no. 1 (216), pp. 109-113.
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  9. Beregun, S. and Krasilnikov, A.I. (2017), “Research of excess kurtosis sensitiveness of diagnostic signals for control of the condition of the electrotechnical equipment”, Tekh- nichna elektrodynamika, no. 4, pp. 79-85. https://doi.org/10.15407/techned2017.04.079
  10. Kunchenko, P., Zabolotnii, S.V., Koval, V.V. and Chepynoha, A.V. (2005), “Simulation of excess random variables with a given cumulative description on the basis of the bigaussian distribution”, Visnyk ChDTU, no. 1, pp. 38-42.
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  12. Chepynoha, V. (2010), “Areas of realization of bigauss models of asymmetric-excess ran- dom variables with a perforated moment-cumulant description”, Visnyk ChDTU, no. 2, pp. 91-95.
  13. Krasilnikov, I. (2013), “Class of non-Gaussian distributions with zero skewness and kurtosis”, Radioelectronics and Communications Systems, Vol. 56, no. 6, pp. 312-320. https://doi.org/10.3103/S0735272713060071
  14. Krasilnikov, I. (2017), “Class of non-Gaussian symmetric distributions with zero coef- ficient of kurtosis”, Elektronnoe modelirovanie, Vol. 39, no. 1, pp. 3-17.
  15. Krasilnikov, I. (2016), “Models of asymmetrical distributions of random variables with zero asymmetry coefficient”, Elektronnoe modelirovanie, Vol. 38, no. 1, pp. 19-33.
  16. Krasilnikov, I. (2018), “Modeling of perforated random variables on the basis of a mixture of shifted distributions”, Elektronnoe modelirovanie, Vol. 40, no. 1, pp 47-61. https://doi.org/10.15407/emodel.40.01.047
  17. Kendall, and Stuart, A. (1966), Teoriia raspredelenii [Distribution Theory], Translated by Sazonov, V.V., Shiriaev, A.N., Ed by Kolmogorov, A.N., Nauka, Moscow, USSR.
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RESTORATION OF PRESSURE AT THE POOL BOUNDARY BASED ON THE SOLUTION OF INVERSE PROBLEM

S.O. Huseynzade, Cand. Sc. (Phys.-Math.)
Azerbaijan State \University of Oil and Industry
20 Azadlyg Ave., Baku, AZ 1010, Azerbaijan
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Èlektron. model. 2018, 40(4):19-28
https://doi.org/10.15407/emodel.40.04.019

ABSTRACT

A numerical method has been proposed to solve the inverse problem of determining conditions on the outer pool boundary based on information obtained from the hole. The rectilinear-parallel flow of a single-phase fluid in a rectangular pool described by a linear parabolic equation is considered. The initial state of the pool, as well as the pressure and flow rate of liquid in the gallery of production wells are considered to be set, and the pressure on the outer boundary of the pool is unknown. This problem belongs to the class of boundary inverse problems. First, the nonlocal perturbation method of the boundary condition is applied. After that, the problem is discretized and a special representation is proposed to solve the resulting system of difference equations. As a re- sult, the problem is reduced to two difference problems and one linear equation with respect to the approximate value of pressure at the boundary of the pool. On the basis of the proposed computational algorithm, numerical calculations for model problems are carried out.

KEYWORDS

oil pool, rectilinear-parallel flow, boundary inverse problem, nonlocal perturba- tion method, difference method.

REFERENCES

  1. Alifanov, O.M., Artyukhin, E.A. and Rumyantsev, S.V. (1988), Ekstremalnyie metody resheniya nekorrektnykh zadach [Extreme methods for solution of incorrect problems], Nauka, Moscow, Russia.
  2. Basniev, S., Dmitriev, N.M. and Rosenberg, G.D. (2005), Neftegazovaya gidromekhanika [Oil and gas hydromechanics], Izhevsky institut kompyuternykh issledovaniy, Moscow, Russia.
  3. Kanevskaya, D. (2002), Matematicheskoe modelirovanie gidrodinamicheskikh protsessov razrabotki mestorozhdeniy uglevodorodov [Mathematical modeling of hydrodynamic pro- cesses in hydrocarbon field development], Izhevsky institut kompyuternykh issledovaniy, Moscow, Russia.
  4. Aziz, and E. Settari, E. (2004), Matematicheskoe modelirovanie plastovykh system [Mathematical modeling of reservoir systems], Izhevsky institut kompyuternykh issle- dovaniy, Moscow, Russia.
  5. Alifanov, M. (1988), Obratnyie zadachi teploobmena [Inverse heat transfer problems], Mashinostroenie, Moscow, USSR. Vestnik  Yugorskogo Universiteta, Vol. 46, Iss. 3, pp. 51-59.
  6. Kerimov, N.B. and Ismailov, M.I. (2012), An inverse coefficient problem for the heat equa- tion in the case of nonlocal boundary conditions, J. of Mathematical Analysis and Applica- tions, Vol. 396, no. 2, pp. 546-554. https://doi.org/10.1016/j.jmaa.2012.06.046
  7. Tikhonov N. and Arsenin, V.Ya. (1986), Metody resheniya nekorrektnykh zadach [Meth- ods for solution of incorrect problems], Nauka, Moscow, Russia.
  8. Kabanikhin, I. (2009), Obratnyie i nekorrektnyie zadachi [Inverse and incorrect prob- lems], Sibirskoe nauchnoye izdatelstvo, Novosibirsk, Russia.
  9. Samarskiy, A. and Vabischevich, P.N. (2009), Chislennyie metody resheniya obratnykh zadach matematicheskoi fiziki [Numerical methods for solution of inverse problems of mathe- matical physics], Izdatelstvo LKI, Moscow, Russia.
  10. Yaparova, M. (2013), “Numerical modeling of solutions of the inverse boundary value problem of heat conductivity”, Vestnik YuUrGU. Seriya Matematicheskoye modelirovanie i programmirovanie, Vol. 6, Iss. 3, pp. 112-124.
  11. Sabitov, B. (2016), Pryamye i obratnye zadachi dlya uravneniy smeshannogo parabolo- giperbolicheskogo tipa [Direct and inverse problems for the equations of mixed parabolic- hyperbolic type], Nauka, Moscow, Russia.
  12. Korotky, I. and Starodubtseva, Yu.V. (2015), Modelirovanie pryamykh i obratnykh gra- nichnykh zadach dlya statsionarnykh modelei teplomassoperenosa [Simulation of direct and inverse boundary value problems for stationary models of heat and mass transfer], Izda- telstvo Uralskogo Universiteta, Ekaterinburg, Russia.
  13. Verzhbitsky, A. (2017), “Inverse problems on the definition of boundary regimes”,

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THE RESEARCH OF TWO-MODULUS CODES WITH SUMMATION OF UNIT BITS WITH CALCULATION BY MODULO “FOUR”

D.V. Efanov, Cand. Sc. (Eng.)
Russion Transport University (MITE), 9 Obraztsov St, Moscow, 127994, Russian Federation, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.),
V.V. Sapozhnikov, Dr Sc. (Eng.),  Vl. V. Sapozhnikov,  Dr Sc. (Eng.),, V.A. Schagina
Emperor Alexander I St.Petersburg State Transport University, 9 Moskovsky Ave, Saint Petersburg, 190031, Russian Federation, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)

Èlektron. model. 2018, 40(4):29-54
https://doi.org/10.15407/emodel.40.04.029

ABSTRACT

The methods of codes with summation of unit bits construction are analyzed. In addition to the classical sum code (Berger code), there is a family of modified codes, which are built through the allocation of controlled subsets of data vector’s bits. The connection between the methods of the classical Berger code modification is determined and new two-module codes with summation of unit data bits are proposed. The methods of two-module sum codes construction are also analyzed; their features and characteristics are described. The general block diagram of two-module sum code generators is presented.

KEYWORDS

technical diagnostics, sum code, modified Berger code, two-module sum code, undetectable error.

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MODELING AND DEVELOPMENT OF AN ADAPTIVE AUTOMATED SYSTEM FOR CREATING THE EMERGENCY TRAINING SCENARIOS

Yu.G. Kutsan 1, Dr Sc. (Eng.), V.O. Gurieiev, doctorant, Y.М. Lysenko, post-graduate
1 Pukhov Institute for Problems in Electrical Engineering, NAS of Ukraine, 15 General Naumov St, Kyiv, 03164, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Èlektron. model. 2018, 40(4):55-64
https://doi.org/10.15407/emodel.40.04.055

ABSTRACT

Composition and structure of subsystems of modeling remote simulators for training operational and dispatching personnel in power industry and theoretical problems of technology for making standard and emergency training scenarios have been considered. Main stages of constructing the scientific and methodical base of training with the help of trainers and remote simulators have been described. The methods for data integrity and visualization of modeling results for remote regime simulators have been proposed. The possibilities of using the constructors of scenarios of emergency trainings for raising the level of personnel skills in the distributed network of centers for personnel training have been determined.

KEYWORDS

operational simulators, operative changeover, emergency training scenarios, key competencies.

REFERENCES

  1. Avetisian, V., Gurieiev, V.O. and Sanginova, O.V. (2016), “Development and application of virtual hierarchical structures for modeling of modes, teaching and training of UES staff of Ukraine”, Visnyk Vinnytskogo politechnichnogo instytutu, Vol. 1(124), pp. 101-107.
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