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  8. 42-3

Electronic modeling

Vol 42, No 3 (2020)

https://doi.org/10.15407/emodel.42.03

CONTENTS

Mathematical Modeling and Computation Methods

  A.F. Verlan  Yu.O. Furtat 
Approximate Dynamic Models of Non-stationary Measuring Transducers
3-12
  Yu.A. Klevtsov
Modeling of Elliptic Objects with Distributed Parameters
13-26

Computational Processes and systems

    D.V. Efanov, V.V. Sapozhnikov, Vl.V. Sapozhnikov, D.V. Pivovarov
The Method of the Concurrent Error-detection of Combinational Logic Devices Based on the Self-dual Complement to Constant-weight Code
27-52

Application of Modeling Methods and Facilities

  Yu.M. Zaporozhets, A.V. Ivanov, Yu.P. Kondratenko, V.M. Tsurkin
Computer Models for Mode Control of Electric Current Treatment of Melts at Specified Quality Criteria for Cast Products. Part 1
53-70
  A.I. Krasilnikov
Analysis of Cumulant Coefficients of Two-component Mixtures of Shifted Gaussian Distributions with Equal Variances
71-88
  V.D. Samoilov, R.P. Abramovich, A.O. Lepatiev
Computer Technologies For the Development of Training Systems for the Energy Industry
89-98
  S.S. Shevchenko, M.S. Shevchenko
Calculation of Contact Seals as Automatic Control Systems with Inverse Feedback
99-110
  M.Y. Komarov
Requirements for a Cyber Threat Taxonomy of Critical Infrastructure Objects and Analysis of Existing Approaches
111-124

APPROXIMATE DYNAMIC MODELS OF NON-STATIONARY MEASURING TRANSDUCERS

A.F. Verlan  Yu.O. Furtat 

Èlektron. model. 2020, 42(3):03-12
https://doi.org/10.15407/emodel.42.03.003

ABSTRACT

Applied engineering analysis is used to study measurement processes using a meta-mathematical description, which should provide for the presence of analytic approximate dependencies that allow to illustrate, both qualitatively and quantitatively, the influence of physical parameters. Some difficulties in modeling the dynamic properties of non-stationary measuring transducers (MTs) with variable parameters are that there are no accurate analytical methods for solving equations that describe the behavior of dynamic objects in this class. The article discusses some methods of converting and deriving approximate dependencies to describe processes in a MT to a form that allows the use of approximate analytical solutions or efficient numerical methods.

KEYWORDS

approximate analysis, measuring transducer, dynamic model, integral equation.

REFERENCES

  1. Babak, V.P., Babak, S.V. and Yeremenko, V.S. (2014), Teoreticheskiye osnovy infor­matsionno-izmeritel'nykh sistem [Theoretical foundations of information-measuring systems], Kiev, Ukraine.
  2. Ripka, P. and Tipek, A. (2010), Modern sensors: handbook, Chichester: Jon Wiley&Sons.
  3. Verlan', A.F. and Sizikov, V.S. (1986), Integral'nyye uravneniya: metody, algoritmy, prog­rammy: Spravochnoye posobiye [Integral equations: methods, algorithms, programs: Refe­rence book], Nauk. dumka.
  4. Fedorchukm V.A. and Dyachuk, O.A. (2009), Ekvivalentuvannya matematychnykh mode­ley dynamichnykh system [Equivalence of mathematical models of dynamical systems], Matematychne ta komp'yuterne modelyuvannya. Seriya: Tekhnichni nauky, Vol. 2, pp. 155-164.
  5. Kress, R. (2014), Linear integral equations, 3rd, Springer, New York, USA.
    https://doi.org/10.1007/978-1-4614-9593-2
  6. Verlan', D.A. (2014), Metod vyrozhdennykh yader pri chislennoy realizatsii integral'nykh dinamicheskikh modeley [The method of degenerate kernels in the numerical implementation of integral dynamic models], Elektron. modelirovaniye, Vol. 36, no. 3, pp. 41-57.
  7. Smirnov, V.I. (1959), Kurs vysshey matematiki. V 5-ti tomakh. [The course of higher mathematics in 5 volumes], Fizmatgiz, Moscow.

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MODELING OF ELLIPTIC OBJECTS WITH DISTRIBUTED PARAMETERS

Yu.A. Klevtsov 

Èlektron. model. 2020, 42(3):13-27
https://doi.org/10.15407/emodel.42.03.013

ABSTRACT

Based on the spectral theory of non-stationary control systems, the problem of modeling elliptic objects described by linear partial differential equations is considered. The boundary-value problems of Dirichlet, Neumann, and Robin are solved. Simulation examples explaining the application of the method are given. The concept of the transfer function of an object with distributed parameters is introduced.

KEYWORDS

mathematical modeling, spectral theory, objects with distributed parameters, transmission function, boundary value problems.

REFERENCES

  1. Solodovnikov, V.V. and Semenov, V.V. (1974), Spektralnaya teoriya nestatsionarnyih sistem upravleniya [The Spectral Theory of Non-Stationary Control Systems], Nauka, Moscow, Russia.
  2. Klevtsov, Yu.A. (1988), “Spectral Description of Objects with Distributed Parameters”, Electronnoe modelirovanie, Vol. 10, no. 3, pp. 27-31.
  3. Klevtsov, Yu.A. (2001), “Algorithm for modeling a boundary value problem of the third kind”, Electronnoe modelirovanie, Vol. 23, no. 3, pp. 40–46.
  4. Klevtsov, Yu.A. (2011), “Modeling an object with distributed parameters defined on a nonrectangular domain”, Electronnoe modelirovanie, Vol. 33, no. 1, pp. 47 – 55.
  5. Kraskevitch, V.Ye. and Klevtsov, Yu.A. (1981), “Spectral method of structural - parametric identification of objects with distributed parameters”, Vestn. Kiev. Politekhn. In-ta. Ser. Tekhnicheskaya kibernetika, Vol. 5, pp. 10 – 12.
  6. Klevtsov, Yu.A. (2012), “Modeling multidimensional objects with distributed parameters”, Electronnoe modelirovanie, Vol. 34, no. 5, pp. 20 – 40.
  7. Klevtsov, Yu.A. (2016), “Structural transformations of models of systems with distributed parameters”, Electronnoe modelirovanie, Vol. 38, no. 1, pp. 35 – 46.
    https://doi.org/10.15407/emodel.38.01.035
  8. Klevtsov, Yu.A. Modelirovanie obektov s raspredelennymi parametrami. Spektralnyj metod [Modeling objects with distributed parameters. Spectral method], Rusajns, Moscow, Russia.
  9. Lankaster P. Teoriya matric. [ Matrix theory], Nauka, Moscow, Russia.
  10. Bellman R. Vvedenie v teoriyu matricz. [Introduction to matrix theory], Nauka, Moscow, Russia.

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THE METHOD OF THE CONCURRENT ERROR-DETECTION OF COMBINATIONAL LOGIC DEVICES BASED ON THE SELF-DUAL COMPLEMENT TO CONSTANT-WEIGHT CODE

D.V. Efanov, V.V. Sapozhnikov, Vl.V. Sapozhnikov, D.V. Pivovarov

Èlektron. model. 2020, 42(3):27-55
https://doi.org/10.15407/emodel.42.03.027

ABSTRACT

The article proposes a method of the organization of concurrent error-detection (CED) systems, which combines the checkout of the generated code words belonging to the pre-selected constant-weight code and the checkout of each function belonging to the class of self-dual functions. The described method of the CED systems organization allows to increase the detection ability in comparison with the checkout by the method of Boolean complement to the constant-weight codes or to the self-dual functions. The article shows that only constant-weight codes with the same number of zero and ones bits (the so-called «r-out-of-2r» codes, where r is the weight of the code word) can be used in the organization of the combinational logic devices control according to the developed method. The priority in the CED systems organization is given to the constant-weight «2-out-of-4» code. The article develops algorithms for the synthesis of CED systems, the structures of which are completely self-checking in relation to the single stuck-at faults of the outputs of the internal logic elements. The simulation results of the CED system operation on the example of an random combinational logic device showed the high efficiency of the developed method.

KEYWORDS

combinational logic device, concurrent error-detection system, technical state control, fault detection, self-dual complement, constant-weight codes, «2-out-of-4» code.

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COMPUTER MODELS FOR MODE CONTROL OF ELECTRIC CURRENT TREATMENT OF MELTS AT SPECIFIED QUALITY CRITERIA FOR CAST PRODUCTS. PART 1.

Yu.M. Zaporozhets, A.V. Ivanov, Yu.P. Kondratenko, V.M. Tsurkin

Èlektron. model. 2020, 42(3):53-69
https://doi.org/10.15407/emodel.42.03.053

ABSTRACT

The possibility of modes control of electric current treatment (MCECT) is justified. It is shown that features of multifactor influence of control parameters in the process of melt treatment on castings structural formation can be revealed only by numerical experiments with the help of adequate computer models. The main principles of construction of the automated system of MCECT are formulated and the structure of the integrated three-component information system (ITIS) for its realization by means of computer models of ECT multiphysical processes is developed. Computer models serve as the system base of the algorithmic paradigm embedded in ITIS, which includes the identification of experimental samples of castings with standard prototypes and prognostic algorithms for the modes controlling of electric current melt processing.

KEYWORDS

casting, quality, electric current treatment, mode, control, information system, computer model, algorithm.

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