Scientific and Technical Journal


ISSN Print 2221-3937
ISSN Online 2221-3805
In the article the mathematical model of the electromagnetic circuit with the highest level of detail both electric and magnetic circuit. The magnetic circuit is represented in the same detail as electric, and is described by the contour matrix. The mathematical description of electromagnetic induction device parameters are determined by the geometrical dimensions and characteristics of the magnetic cores. The topology of circuit blocks represented by the matrix that takes into account both current and charge distribution in the circuit elements. The system of equations is reduced to the Cauchy form that facilitates its solution by numerical methods on computers. The algorithm and an ex-ample of simulation circuitry with transformer and comparing the results with the model in Matlab / Simulink / Sim-PowerSystems.
  1. Andreev, V.S. (1982), “Teorija nelinejnyh jelektricheskih cepej: Uchebnoe posobie dlja vuzov” [The theory of non-linear electric circuits: A manual for schools], Radio i svjaz' Publ., Мoskow, USSR, 280p. (In Russian).
  2. Blintsov, V.S. and Siddelev, N.I. (1982), “Osobennosti cifrovogo modelirovanija dinamiki generatorov impul'snyh tokov” [Features of a digital simulation of the dynamics of pulse current generators], Sovershenstvovanie sredstv avtomatizacii i mehanizacii tehnologicheskih processov, Nikolaev, Ukraine, pp. 67-68. (In Russian).
  3. Blintsov, V. S. and Siddelev, N. I. (1982), “Primenenie metoda nejavnyh funkcij dlja cifrovogo modelirovanija sistem s ventil'nymi preobrazovateljami” [Application of a method of implicit functions for digital modeling of systems with rectifier converters], Nikolaevskij korablestroitel'nyj institute Publ., Nikolaev, Ukraine, Vol. 190, pp. 97-100. (In Russian).
  4. Bondarenko, V. M. (1967), “Voprosy analiza nelinejnyh cepej” [Questions analysis of nonlinear circuits], Naukova Dumka Publ., Kiev, Ukraine, 160 p. (In Russian).
  5. Carney, S. (1973), “Teorija cepej. Analiz i sintez: Per. s angl.” [Circuit theory. Analysis and Synthesis: Trans. from English], in London, S.E., (Ed.), Svjaz' Publ., Мoskow, USSR, 368 p. (In Russian).
  6. Kogan, V. L. (1982), “Algoritm rascheta shem v bazise uzlovyh potencialov s primeneniem javnyh metodov integrirovanija” [The algorithm for calculating schemes in the basis of nodal potentials using the explicit methods of integrating], Izvestija vuzov: Radiojelektronika, Vol. 6, pp. 9-12. (In Russian).
  7. Collatz, L. (1969), “Funkcional'nyj analiz i vychislitel'naja matematika” [Functional analysis and computational mathematics], Mir Publ., Moscow, USSR, 448 p. (In Russian).
  8. Kopylov, I.P. (1980), “Primenenie vychislitel'nyh mashin v inzhenerno-jekonomicheskih raschetah (jelektricheskie mashiny): Uchebnik” [The use of computers in engineering and economic calculations (electric machines): Textbook], Vysshaja shkola Publ., Moscow, USSR, 256 p. (In Russian).
  9. Krasnov, V. V. and Siddelev, N. I. (2013), “Matrychno-topologichnyj opys elektromagnitnyh kil” [Matrix-topological description of electromagnetic circuits], Electrical and Computer Systems, Technica, Kiev, Ukraine, Vol. 11 (87), pp. 66-73. (In Ukrainian
  10. Krasnov, V. V. and Siddelev, N.I. (1984), “Topologicheski-izomorfnoe modelirovanie jelektromagnitnyh cepej” [Topologically-isomorphic modeling of electromagnetic circuits], Electrical equipment of ships. Nikolaevskij korablestroitel'nyj institute Publ., Nikolaev, Ukraine, pp. 3-9. (In Russian).
  11. Mathanov, P. N. (1986), “Osnovy analiza jelektricheskih cepej. Nelinejnye cepi: Uchebnik dlja studentov jelektrotehn. spec. vuzov. - 2-e izd., pererab. i dop.” [Bases of the analysis of electrical circuits. Nonlinear circuit: the textbook for students of electrotechnical specialties. - 2nd ed., rev. and add.], Vysshaja shkola Publ., Moscow, USSR, 252 p. (In Russian).
  12. Mustafa, G. M. and Fedotov, Y.B. (1983), “Programma dlja rascheta cepej s ideal'nymi transformatorami” [The program for the calculation of circuits with ideal transformers], Jelektrotehnicheskaja promyshlennost'. Preobrazovatel'naja tehnika, Vol. 5, pp. 3-5. (In Russian).
  13. Ortega, J. and Reynolds, V. (1975), “Iteracionnye metody reshenija nelinejnyh sistem uravnenij so mnogimi neizvestnymi: Per. s angl.” [Iterative methods for solving nonlinear systems of equations with many unknowns: Trans. from English], Mir Publ., Moscow, USSR, 560 p. (In Russian).
  14. Riabenkey, V. M., Dragan S. V. and Solobuto, L.V. (2008), “Osnovy modeljuvannja system i procesiv v elektrotehnici (Vykorystannja paketa prykladnyh program MATLAB/Simulink)” [Fundamentals of modeling of systems and processes in electrical engineering (Use the package of applied programs of MATLAB/Simulink). Study guide], Novyj svit – 2000 Pub. Lvov, Ukraine, 385 p. (In Ukrainian).
  15. Siddelev, N. I. (1982), “Ob upravlenii iteracionnymi vychislenijami pri modelirovanii fizicheskih processov” [On the control of iterative calculations for modeling physical processes], Nikolaevskij korablestroitel'nyj institute Publ., Nikolaev, Ukraine, Vol. 190, pp. 36-39. (In Russian).
  16. Alotto, P.a., Freschi, F.b., Repetto, M.B. and others. (2013), “Topological equations, Lecture Notes in Electrical Engineering”, 230, pp.11-20, doi: 10.1007/978-3-642-36101-2-2. (In English).
  17. Deskur, J. (1999), “Models of magnetic circuits and their equivalent electrical diagrams”, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 18 Iss: 4, pp.600 – 610. (In English).
  18. Kirawanich, P.a., Gleason, D.A., Yakura, S.J.b. and others. (2006), “Electromagnetic Topology Quasisolutions for Aperture Interactions Using Transmission Line Matrix”, Journal of Applied Physics, 99 (4), art. no. 044910, doi: 10.1063/1.2173690. (In English).
  19. Ortner, M. G., Christian, M., and Klaus, K. (2010), Solver for a Magnetic Equivalent Circuit and Modeling the Inrush Current of a 3-Phase Transformer”, World Academy of Science, Engineering and Technology, Vol. 40. (In English).
  20. Parmantier, J. P. (2007), “EM topology: From theory to application”, Ultra-wideband, Short-pulse Electromagnetics, 7, pp.3-12. (In English).
  21. Tesche, F. M., Ianoz, M.V. and Karlsson, T. (1997), “EMC Analysis Methods and Computational Models”, John Wiley & Sons Inc, New York, 656 p. (In English).
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