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  8. 41-6

Electronic modeling

Vol 41, No 6 (2019)

 

CONTENTS

Mathematical Modeling and Computation Methods

  SAUKH S.Ye.
The Balance of Power Differentials in the electric Power System and its Applicationfor the Analysis of Modern Development Trends of the ues of Ukraine
3-14
  KLIPKOV S.I.
Quaternion Analysis of the Modes of Electrical Systems
15-36
  OSTAPCHENKO K.B., LISOVYCHENKO O.I., BORUKAIEV Z.Kh.
Regulatory MechaismModel to Stimulate Companies in the Single Buyer Wholesale Market
37-48

Computational Processes and systems

  EFANOV D.V.
Features of Error Detection by Borden Codes
49-64

Application of Modeling Methods and Facilities

  MOKHOR V.V., HONCHAR S.F.
Evaluation of Risks of Cyber Security of Information Systemsof Objects of Critical Infrastructure
65-76
  DOBROVOLSKYI V.K.
Microprocessor Based on the Minimal Hardware Principle
77-90
  KOMAROV M.Y.
Review of Cyberatakes on Objects of Critical Infrastructure
91-106
  PRYMUSHKO A.N.
Vector Data Structure Research in Scala Programming Language
107-114

THE BALANCE OF POWER DIFFERENTIALS IN THE ELECTRIC POWER SYSTEM AND ITS APPLICATION FOR THE ANALYSIS OF MODERN DEVELOPMENT TRENDS OF THE UES OF UKRAINE

S.Ye. Saukh

Èlektron. model. 2019, 41(6):03-14
https://doi.org/10.15407/emodel.41.06.003

ABSTRACT

The principles of building a traditional balance of production and consumption of electricity in the electric power system are outlined and the difficulties of using such a balance to analyze current trends in the development of the UES of Ukraine are shown. A power differential bal-ance in the electric power system is proposed, in which the total demand for power change is determined by the algebraic sum of changes in the power consumption and generation of power units of nuclear power plants, thermal power plants and renewable energy sources, and the demand is covered by the algebraic sum of changes in the power of generation of power units of hydroelectric power stations, hydro power plants and thermal power plants. The power dif-ferential balance was used to analyze current trends in the development of the UES of Ukraine in the conditions of intensive commissioning of renewable energy generating capacities. The analysis based on dispatch schedules for hourly production and consumption of electricity for 2017—2019.

KEYWORDS

electric power balance, power differential balance.

REFERENCES

1. “Dispatchers Informatsiya”, available at: https://ua.energy/diyalnist/dyspetcherska-informatsiya/ (accessed November 14, 2019).
2. Yakovleva-Gavrilyuk, O.M. (2018), “Prospects for development of hydro accumulation in Ukraine”, Hidroenerhetyka Ukrayiny, no. 3-4, pp. 63-65.
3. Landau, Y.O. and Stashuk, I.V. (2018), “The importance of hydropower in the develop-ment of the Ukrainian UES in accordance with NES-2035 and environmental challenges”, Hidroenerhetyka Ukrayiny, no. 1-2, pp. 3-6.
4. Litvinov, V.V. (2018), “Optimization of load distribution between HPP cascade power plants operating at SARPP”, Hidroenerhetyka Ukrayiny, no. 3-4, pp. 56-60.
5. Vasko, P.F., Verbovy, A.P., Ibrahimov, M.R. and Pazich, S.T. (2017), “Hydro storage plants - technological basis for integration of powerful wind and photoelectric power sta-tions into the electricity system of Ukraine”, Hidroenerhetyka Ukrayiny, no. 1-2, pp. 20-25.
6. Bazeev, E.T., Bileka, B.D., Vasilyev, E.P. (2013), Rozvytok teploenerhetyky ta hidroener-hetyky [Development of heat and hydropower], Sigal, available at: http://energetika.in.ua/ru/books/book-3/part-2/section-2/2-8. (accessed November 14, 2019).

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QUATERNION ANALYSIS OF THE MODES OF ELECTRICAL SYSTEMS

S.I. Klipkov

Èlektron. model. 2019, 41(6):15-36
https://doi.org/10.15407/emodel.41.06.015

ABSTRACT

The properties of the polygenic functions of the complex and quaternionic variables used in the problems of the electric power industry are studied from the point of view of differential calcu-lus. Based on the introduced concept of internal pseudo-derivative, expressions are obtained for the right and left quotients of the differential of an arbitrary quaternion function to the dif-ferential of its argument. The conditions for the differentiability of functions of a quaternionic variable are formulated. An example of a quaternion analysis of the modes of a simple two-node circuit of an electrical system is given.

KEYWORDS

parametric hypercomplex numerical system, pseudo-derivative, complex num-bers, quaternions, quadriplex numbers.

REFERENCES

1. Sekene, Y. and Yokojama, A. (1981), “Multisolutions for load flow problem of power System and their physical stability”, Power Systems Computer Conference, Proceeding of the 7th Power Syst. Comput. Conf, Lausanne, pp. 819-826.
2. Venikov, V.A. (1985), Perekhodnyye elektromekhanicheskiye protsessy v elektricheskikh sistemakh [Transient electromechanical processes in electrical systems], Vysshaya shkola, Moscow, USSR.
3. Kasner, E. (1936), “A complete characterization of the derivative of a polygenic func-tion”, Proceedings of the National Academy of Sciences, Vol. 22, pp. 172-177.
https://doi.org/10.1073/pnas.22.3.172
4. Klipkov, S.I. (2012), “The use of hypercomplex numerical systems for mathematical modeling of limiting modes of electrical systems”, Reyestratsiya, zberihannya i obrobka danykh, Vol. 14, no. 4, pp. 11-23.
5. Klipkov, S.I. (2015), “Features of harmonic analysis of limiting modes of electrical sys-tems”, Elektronnoye modelirovaniye, Vol. 37, no. 1, pp. 113-127.
6. Klipkov, S.I. (2013), “Hypercomplex parametric numerical systems in mathematical mod-eling”, Reyestratsiya, zberihannya i obrobka danykh, Vol. 15, no. 1, pp. 3-13.
7. Klipkov, S.I. (2011), “On a new approach to constructing hypercomplex numerical sys-tems of rank two over the field of complex numbers”, Ukrainskiy matematicheskiy zhurnal, Vol. 63, no. 1, pp. 130-139.
https://doi.org/10.1007/s11253-011-0494-z
8. Sin’kov, M.V., Boyarinova, Yu.Ye. and Kalinovskiy, Ya.A. (2010), Konechnomernyye giperkompleksnyye chislovyye sistemy. Osnovy teorii. Primeneniya [Finite-dimensional hypercomplex numerical systems. Fundamentals of the theory. Applications], Infodruk, Kyiv, Ukraine.
9. Jefremov, A.P. (2004), “Quaternions: Algebra, Geometry and Physical Theories”, Giper-kompleksnyje chisla v geometriji i fizike, no. 1, pp. 111-127.
10. Sadberi, A. (2004), “Quaternion Analysis”, Giperkompleksnyje chisla v geometriji i fizike, no. 2, pp. 130-157.
11. Kassandrov, V.V. (2006), “Quaternion Analysis and Algerodynamics”, Giper-kompleksnyje chisla v geometriji i fizike, no. 2, pp. 58-84.
12. Petrov, A.M. (2006), Kvaternionnoje predstavlenije vikhrevykh dvizheniy [Quaternion rep-resentation of vortex motions], Kompanija Sputnik+, Moscow, Russia.
13. Riman, B. (1948), Sochineniya [Works], Gostekhizdat, Moscow, USSR.
14. Karpenko, I.I., Tyshkevich, D.L. and Sukhtajev, A.I. (2004), ”On an approach to the dif-ferentiation of functions of a quaternion variable”, Uchenyye zapiski TNU. Matematika, Vol. 17 (56), no. 1, pp. 30-37.
15. Oshorov, B.B. (2007), “On a four-dimensional analogue of the Cauchy-Riemann system of equations”, Neklassicheskiye uravneniya matematicheskoy fiziki. Tr. mezhdunar. konf. «Differentsial'nyye uravneniya, teoriya funktsiy i prilozheniya», pp. 212-220.
16. Shcherbina Ju.V., Zaderey A.V., Klipkov S.I. (1984), “About one method of studying the existence of steady-state modes of electrical systems”, Elektronnoye modelirovaniye, Vol. 6, no. 5, pp. 61-64.

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Regulatory Mechanism Model to Stimulate Companies in the Single Buyer Wholesale Market

K.B. Ostapchenko, PhD, Tech., O.I. Lisovychenko, PhD, Tech.
National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»
(37, Prosp. Peremohy, Kyiv, Ukraine, 03056 e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.),
Z.Kh. Borukaiev, Dr. Sci. Tech.
Pukhov Institute for Modeling in Energy Engineering National Academy of Sciences of Ukraine
(15, Str. General Naumov, Kyiv, Ukraine, 03164 e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)

Èlektron. model. 2019, 41(6):37-48
https://doi.org/10.15407/emodel.41.06.037

ABSTRACT

A mathematical model of a regulatory mechanism has been developed for analyzing the profits dynamics of production companies in the context of changes in prices for the main production resources on the wholesale market with a single buyer. This model is based on the further de-velopment of the use of the Volterra “predator–prey” mathematical model and the Verhulst lo-gistic equation. An analytical solution has been found for a particular case of the model, which makes it possible to establish the dependencies necessary for making decisions by the market regulator on pricing products and production resources. In order to research the model, compu-tational experiments were carried out, which confirm the reliability of the obtained simulation results and the adequacy of the actual interaction processes in the economic system "produc-ers-single buyer".

KEYWORDS

mathematical model, regulatory mechanism, profit, wholesale market.

REFERENCES

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7. Wijeratne, A.W., Yi, F. and Wei, J. (2009), “Bifurcation analysis in the diffusive Lotka-Volterra system: an application to market economy”, Chaos, Solitons&Fractals, Vol. 40, no. 2, pp. 902-911.
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9. Aliluyko, A.N. (2013), “Research of dynamics of interaction of enterprises applying Lot-ka-Volterra competition model”, Eastern-European Journal of Enterprise Technologies, Vol. 1, no. 3(61), pp. 25-29.
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11. Volterra, V. (1976), Mathematical theory of the struggle for existence, Nauka, Moscow, Russia.
12. Borukaev, Z.Kh., Ostapchenko, K.B. and Lisovychenko, O.I. (2015), “Analysis of the in-terrelation of data on the energy market dynamics with price changes in the energy re-sources` markets”, Adaptive systems of automatic control, Vol. 1, no. 26, pp. 46-64.
13. Kozhevnikov, N.N. (2004), Economics and management of energy enterprises, Publishing Center “Academy”, Moscow, Russia.
14. Borukaev, Z.Kh., Ostapchenko, K.B. and Lisovychenko, O.I. (2014), “Modeling the dy-namics of the energy market in the context of price changes in the energy resources mar-kets”, Modeling and Information Technologies, No. 73, pp. 139-146.

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FEATURES OF ERROR DETECTION BY BORDEN CODES

D.V. Efanov

Èlektron. model. 2019, 41(6):49-64
https://doi.org/10.15407/emodel.41.06.049

ABSTRACT

In the article, the author the use of redundant coding in the construction of automation and computer technology devices and systems. The prospects for the application of Borden codes in the construction of discrete systems with fault detection are determined. The features of er-ror detection by Borden codes are analyzed. The code building rules and examples of these codes are given. A formula is given for calculating the total errors undetected number by Bor-den codes. Some features of error detection by Borden codes are described, which allow char-acterizing them when choosing discrete systems with fault detection at the construction stage.

KEYWORDS

discrete system with fault detection, checkability circuit, constant-weight co-des, Borden codes, unidirectional errors-detection.

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