COMPUTER SIMULATION OF ELECTROMAGNETIC FIELD WITH APPLICATION THE FREQUENCY ADAPTATION METHOD
DOI:
https://doi.org/10.15588/1607-3274-2018-1-8Keywords:
radio-electronic systems, electrotechnical systems, electromagnetic field, finite element method, frequency adaptation, field simulation, DC, AC, Helmholtz and Maxwell’s equationsAbstract
Context. A modern stage of powerful radio-electronic and electrotechnical systems development, with a power more than 1 MW, imposes increased requirements to their energy equipment, uninterrupted operation and power supply reliability in various operational modes. Field simulation of such systems class is based on modern numerical realization methods of boundary value problems for Helmholtz and Maxwell equations, both in single-connected and multi-connected domains. It imposes increased requirements to resources, computer hardware speed and software computing efficiency, defining the relevance of a new mathematical apparatus development or its elaboration, including combinations of analytical and approximate numerical methods.Objective. The purpose of work is the elaboration a new numerical realization methods of field models taking into account AC
electrophysical processes with high frequency on the basis of Helmholtz equations in frequency formulations, adapted to software packages
use with a free license.
Method. A new method of frequency adaptation is elaborated, which provides systems of Helmholtz equations reduction in vector
magnetic potential formulations to the recurrent modified Maxwell’s equations, in analogies of DC formulation, and also provides high
precision and field simulation efficiency.
Results. The generalized spatial mathematical model of interrelated electromagnetic and electrothermal processes AC energy conversion
in current-conducting wires of powerful radio-electronic and electrotechnical systems is offered. This model considers operational modes, nonlinear dependences of electrophysical properties in electrotechnical materials, replacement effects and outer superficial effects, self- and mutual induction. A new method of frequency adaptation is elaborated, based on Helmholtz system of equations reduction in the vector magnetic potential formulations, in frequency domain, to the recurrent modified Maxwell’s equations, in analogies of DC formulation, and also provides high precision and field simulation efficiency. At numerical realization of frequency adaptation methods and finite elements, the number of freedom degrees decreases twice. It is caused by step-by-step solution the recurrent modified Maxwell’s equations, in analogies of DC formulations, for real and imaginary components of electric and vector magnetic potentials.
Conclusions. The elaborated new frequency adaptation method significantly expands possibilities of production design preparation for
powerful radio engineering systems. It allows using the software packages with a free license, reduces requirements to computing resources, reduces time costs and provides high precision in electromagnetic fields simulation.
References
Skolnik M. Radar Handbook. New York, The McGraw-Hill, 2008,
p.
Dudnik P. I., Il’chuk A. R., Tatarskij B. G. Mnogofunkcional’nye
radiolokacionnye sistemy : ucheb. posobie dlja vuzov. Moscow,
Drofa, 2007, 283 p.
Pupkov K. A., Egupov N. D., Kolesnikov L. V. et al. Vysokotochnye
sistemy samonavedenija: raschet i proektirovanie. Vychislitel’nyj
jeksperiment. Moscow, Fizmatlit, 2011, 512 p.
Dancis Ja. B., Zhilov G. M. Korotkie seti i jelektricheskie parametry
dugovyh jelektropechej. Moscow, Metallurgija, 1987, 320 p.
Bida V. V., Vaseckij Ju. M., Zaharchenko S. V. K raschetu
tokovedushhih sistem, obrazovannyh konturami slozhnoj
geometrii, Izvestija VUZov. Jelektromehanika, 1990, No. 6,
pp. 19–27.
Rozenberg V. L., Sychev V. A., Metelica Ja. V. Metod rascheta
induktivnostej tokoprovodjashhej sistemy “kern grafitirovochnoj
pechi – bokovye shinopakety”, Avtomatizacija
jenergosistem i jenergoustanovok promyshlennyh predprijatij :
Sb. nauchn. tr, Cheljabinsk, ChPI, 1985, pp. 15–18.
Yarymbash, D. S. The research of electromagnetic and
thermoelectric processes in the AC and DC graphitization furnaces,
Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2015,
No. 3, pp. 95–102.
Yarymbash D. S., Oleinikov A. M. On specific features of modeling
electromagnetic field in the connection area of side busbar packages
to graphitization furnace current leads, Russian Electrical
Engineering, 2015, Vol. 86, Issue 2, pp. 86–92. DOI: http://
dx.doi.org/10.3103/S1068371215020121.
Yarymbash D. S., Yarymbash, S. T. and Kylymnyk I. M.
Identification of electrical parameters of powerful short-circuit
laminated packs, Electrical Engineering and Power Engineering,
, No. 2, pp. 55–61. doi: http://dx.doi.org/10.15588/1607-
-2012-2-10
Yarymbash D. S. Identification of furnace loop electrical
parameters of power graphitization furnaces, Electrical
engineering & Electromechanics, 2012, No. 1, pp. 49–54.
Yarymbash D., Kotsur M., Subbotin S., Oliinyk A. A new simulation
approach of the electromagnetic fields in electrical machines,
IEEE: The International Conference on Information and Digital
Technologies, 2017. Slovakia, Zilina, pp. 452–457. DOI: 10.1109/
DT.2017.8024332.
Aliferov A. I., Bikeev R. A., Goreva L. P. et al. Experience and
modern technology of the ore-thermal furnace short network
designing, 11 International forum on strategic technology (IFOST
: proc., Novosibirsk, 1–3 June 2016. Novosibirsk, NSTU,
, Pt. 2, pp. 124–126. ISBN 978-1-5090-0853-7. DOI:
1109/IFOST.2016.7884207
Serikov V., Vlasov D., Goreva L. et al. Active power losses in
pressure rings for contact shoes of ore-thermal furnace, Applied
Mechanics and Materials, 2015, Vol. 698 : Electrical Engineering,
Energy, Mechanical Engineering, EEM 2014, pp. 57–60. DOI:
4028/www.scientific.net/AMM.698.57
Goreva L., Vlasov D., Shvetsova M. S. Investigation of electrical
parameters of interleaved conductors’ packages in high power
electrotechnological installations, Applied Mechanics and
Materials, 2015, Vol. 792 : Electrical Engineering,
Electrotechnology, Energy, EEE 2015, pp. 495–498. DOI:
4028/www.scientific.net/AMM.792.495
Aliferov A. I., Goreva L. P., Bikeev R. A. et al. Ore-thermal
furnaces secondary circuit parameters optimization, The 8 international forum on strategic technologies (IFOST 2013) :
proc., Mongolia, Ulaanbaatar, 28 June–1 July 2013,
Ulaanbaatar, 2013, Vol. 1, pp. 283–285. DOI: 10.4028/
www.scientific.net/AMM.698.35.
Aliferov A. I., Bikeev R. A., Vlasov D. S. et al. Ferromagnetic
conductors electric resistances investigation under electrocontact
heating, International conference on heating by electromagnetic
sources, HES-2013: induction, dielectric and microwaves,
conduction & electromagnetic processing : [proc.], Italy, Padua,
–24 May, 2013, Padua, 2013, pp. 457–461.
Montanari G.G., Loggini M., Cavallini A. et al. Arc-Furnace
model for the study of Flicker Compensation in Electrical
Networks, IEEE Transactions on Power Delivery, 1994, Vol. 9,
No. 4, pp. 2026–2036. DOI: 10.1109/61.329535.
Jang G., Wang W., Heydt G.I. et al. Development of Enhanced
Electric Arc Furnace Models for Transient Analysis, Electric Power
Components and Systems, 2001, Vol. 29, No. 11, pp. 1060 –
DOI: 10.1080/153250001753239257.
Panoiu M., Panoiu C., Sora I. Experimental Research Concerning
the Electromagnetic Pollution Generated by the 3-Phase Electric
Power Supply Networks, Acta Electrotehnica, 2006, Vol. 47,
No. 2, pp. 102–112.
Zaprjagaev S. A. Jelektrodinamika. Voronezh, Izd-vo Voronezh.
gos. un-ta, 2005, 536 p.
Il’inskij A. S., Kravcov V. V., Sveshnikov A. G. Matematicheskie
modeli jelektrodinamiki. Moscow, Vysshaja shkola, 1991, 222 p.
Taflove A., Hagness S. C. Computational Electrodynamics: The
Finite-difference Time-domain Method, Artech House, 2005,
p. ISBN 978-1-58053-832-9.
Amosov A. A. Vychislitel’nye metody dlja inzhenerov. Moscow,
Jenergija, 1994, 284 p.
Rojak M. Je., Solovejchik Ju. G., Shurina Je. P. Setochnye metody
reshenija kraevyh zadach matematicheskoj fiziki. Novosibirsk,
Izd-vo NGTU, 1998, 120 p.
Koshljakov N. S., Gliner Je. B., Smirnov M. M. Uravnenija v
chastnyh proizvodnyh matematicheskoj fiziki. Moscow, Vysshaja
shkola, 1970, 710 p.
Samarskij A. A., Gulin V. A. Chislennye metody. Moscow, Nauka,
, 430 p.
Abaffi J., Spedikato Je. Matematicheskie metody dlja reshenija
linejnyh i nelinejnyh uravnenij. Moscow, Jenergija, 1996, 287 p.
Yee K. S. Numerical solution of initial boundary value problems
involving Maxwell’s equations in isotropic media, IEEE Trans.
Antennas Propagat, 1996, Vol. 14, pp. 302–307. DOI: 10.1109/
tap.1966.1138693.
Glazunov Ju. T. Variacionnye metody. Moscow, Reguljarnaja i
haoticheskaja dinamika, Institut komp’juternyh issledovanij,
, 472 p.
Nikol’skij V. V. Variacionnye metody dlja vnutrennih zadach
jelektrodinamiki. Moscow, Nauka, 1967, 460 p.
Rektoris K. Variacionnye metody v matematicheskoj fizike i
tehnike. Moscow, Mir, 1985, 589 p.
Brebbija K., Telles Zh., Vroubel L. Metody granichnyh jelementov.
Moscow, Mir, 1987, 524 p.
Laevskij Ju. M. Metod konechnyh jelementov (osnovy teorii,
zadachi). Novosibirsk, Novosib. gos. un-t, 1999, 166 p.
Streng G., Fiks Dzh. Teorija metoda konechnyh jelementov.
Moscow, Mir, 1977, 350 p.
Astahov V. I. Matematicheskoe modelirovanie inzhenernyh
zadach v jelektrotehnike. Novocherkassk, NGTU, 1994, 192 p.
Samarskij A. A. Vvedenie v chislennye metody. Sank Peterbug,
Izdatel’stvo “Lan”, 2005, 288 p.
Babenko K. I. Osnovy chislennogo analiza. Moscow, Nauka,
, 374 p
Downloads
How to Cite
Issue
Section
License
Copyright (c) 2018 D. S. Yarymbash, S. T. Yarymbash, M. I. Kotsur, D. O. Litvinov
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Creative Commons Licensing Notifications in the Copyright Notices
The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions.
The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles.
The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС BY -SA.
Authors who publish with this journal agree to the following terms:
-
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License CC BY-SA that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
-
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
-
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
