The mutual influence of exciting and induced currents in the circular solenoid – massive conductor system
DOI:
https://doi.org/10.20998/2074-272X.2023.6.12Keywords:
circular solenoid, massive conductor, inductor system, eddy currents, inductanceAbstract
Problem. The flow of currents in the conductive elements of electrical systems is accompanied by the excitation of electromagnetic fields and the occurrence of induced currents. The excitation of the induced signals, in turn, leads to a change in the parameters of the actual exciting currents. The purpose of the work is to obtain analytical expressions for the quantitative analysis of the results of the mutual influence of the exciting and induced currents and to calculate their ratio depending on the geometric characteristics of the inductor systems. Methodology. The analysis of the processes of mutual influence is carried out on the example of a widespread inductor system, where a flat circular solenoid is placed above the surface of a massive conductor. Analytical expressions for eddy currents excited in a massive conductor and numerical estimates of the effect of induced currents on exciting currents in a solenoid are obtained. Results. It is shown that the influence of the induced current on the current in the solenoid is very significant at small distances between the solenoid and the surface of the massive solenoid. It has been found that an increase in the width of the solenoid winding leads to a significant increase in the influence of the induced current on the excitation current in the solenoid. It is shown that the inductance of the «circular solenoid - massive conductor» system drops with a decrease in the distance between the solenoid and the massive conductor and an increase in the radial dimensions of the solenoid, which requires an increase in the amplitude of the exciting current to maintain a given value of the magnetic flux in the system. Originality. The scientific novelty of this work lies in the proposal of an analytical approach and obtaining numerical estimates of the mutual influence of conductors with exciting and induced currents. Practical value. Estimates of the mutual influence of conductors with currents are of interest for the practice of designing structures of electrical systems for various purposes. Very promising in the direction further research is seen as carrying out experiments with measurements of the quantitative characteristics of the mutual influence of exciting and induced currents in various designs of electrical systems.
References
Yavorskii B.M., Detlaf A.A., Lebedev A.K. Physics handbook for engineers and students of universities. Moscow, Oniks Publ., 2006. 1056 p. (Rus).
Benenson W., Harris J.W., Stöcker H., Lutz H. Handbook of Physics. Springer Nature Switzerland AG, 2002. 1190 p. doi: https://doi.org/10.1007/0-387-21632-4.
Gray Dwight E. (Ed.) American Institute of Physics Handbook. McGraw-Hill Book Company Inc., 1957. 1541 p.
Belyi I.V., Fertik S.M., Khimenko L.T. Handbook of magnetic-pulse processing of metals. Kharkiv, Vyshcha Shkola Publ., 1977. 189 p. (Rus).
Psyk V., Risch D., Kinsey B.L., Tekkaya A.E., Kleiner M. Electromagnetic forming – A review. Journal of Materials Processing Technology, 2011, vol. 211, no. 5, pp. 787-829. doi: https://doi.org/10.1016/j.jmatprotec.2010.12.012.
Batygin Y.V., Shinderuk S.O., Chaplygin E.O., Yeryomina O.F. Electromagnetic processes in a flat circular system with an inductor between thin bifilar coils. Technical Electrodynamics, 2020, no. 4, pp. 19-24. (Ukr). doi: https://doi.org/10.15407/techned2020.04.019.
Batygin Y.V., Shinderuk S.O., Chaplygin E.O. Mutual influence of currents in plane inductor system with solenoid between two massive conductors. Electrical Engineering & Electromechanics, 2021, no. 6, pp. 25-30. doi: https://doi.org/10.20998/2074-272X.2021.6.04.
Bay F., Jeanson A.-C., Zapata J.A. Electromagnetic Forming Processes: Material Behaviour and Computational Modelling. Procedia Engineering, 2014, no. 81, pp. 793-800. doi: https://doi.org/10.1016/j.proeng.2014.10.078.
Ouyang S., Li C., Du L., Li X., Lai Z., Peng T., Han X., Cao Q., Li L. Electromagnetic forming of aluminum alloy sheet metal utilizing a low-frequency discharge: A new method for attractive forming. Journal of Materials Processing Technology, 2021, vol. 291, art. no. 117001. doi: https://doi.org/10.1016/j.jmatprotec.2020.117001.
Altenbach H., Konkin V., Lavinsky D., Morachkovsky O., Naumenko K. Verformungsanalyse elektrisch leitender metallischer Bauteile bei Magnetimpulsbearbeitung. Forschung im Ingenieurwesen, 2018, vol. 82, no. 4, pp. 371-377. (Ger). doi: https://doi.org/10.1007/s10010-018-0285-x.
Kudasov Y.B., Surdin O.M., Platonov V.V., Kozabaranov R.V., Maslov D.A., Makarov I.V., Svetlov A.S., Popov E.Y. Metal plate deformation under magnetic field pulse of complex shape. Journal of Applied Physics, 2019, vol. 126, no. 8, p. 084901. doi: https://doi.org/10.1063/1.5108823.
Lavinskii D.V., Morachkovskii O. K. Elastoplastic Deformation of Bodies Interacting Through Contact Under the Action of Pulsed Electromagnetic Field. Strength of Materials, 2016, vol. 48, no. 6, pp. 760-767. doi: https://doi.org/10.1007/s11223-017-9822-3.
Du L., Li X., Xia L., Zhang X., Lai Z., Han X., Li L., Cao Q. Numerical and experimental verification of an iterative coupling method for analyzing the Lorentz-force-driven sheet metal stamping process. The International Journal of Advanced Manufacturing Technology, 2021, vol. 115, no. 7-8, pp. 2161-2173. doi: https://doi.org/10.1007/s00170-021-07268-z.
Batygin Y.V., Chaplygin E.A., Shinderuk S.A., Strelnikova V.A. The main inventions for technologies of the magnetic-pulsed attraction of the sheet metals. a brief review. Electrical Engineering & Electromechanics, 2018, no. 3, pp. 43-52. doi: https://doi.org/10.20998/2074-272X.2018.3.06.
Fireteanu V., Tudorache T. Electromagnetic forces in transverse flux induction heating. IEEE Transactions on Magnetics, 2000, vol. 36, no. 4, pp. 1792-1795. doi: https://doi.org/10.1109/20.877791.
Demirchyan K.S., Neiman L.R., Korovkin N.V., Chechurin V.L. Theoretical foundations of electrical engineering. 4th ed. vol. 3. St. Petersburg, Peter Publ., 2006. 318 p. (Rus).
Muller-Kirsten H.J.W. Electrodynamics. 2nd Ed. World Scientific Publishing Company, 2011. 632 p.
Isaev Yu., Vasilieva O. Methods for calculating electromagnetic fields. LAP Lambert Academic Publ., 2012. 172 p. (Rus).
Korn H., Korn T. Mathematical Handbook. Moscow, Nauka Publ., 1973. 831 p. (Rus).
Kreyszig E. Advanced Engineering Mathematics. 10th ed. Wiley Publ., 2011. 1283 p.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Yu. V. Batygin, O. F. Yeryomina, S. O. Shinderuk, E. O. Chaplygin
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. 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.
3. 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.
