Analytical and physical modeling of the magnetically active part of a linear electric generator with permanent magnets

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.205154

Keywords:

linear electric generator, magnetic flux, permanent magnet, electromotive force, cylindrical harmonic

Abstract

Linear electric generators are increasingly used in autonomous systems that require a compact source of electricity and when it is necessary to simplify mechanisms of power systems. To study the characteristics of a linear electric generator, an analytical model of its magnetically active part was proposed. The model is based on the assumption of the periodicity of linear translational motion of the armature relative to the stationary cylindrical winding. Based on the representation of the magnetic field of the generator’s armature by cylindrical harmonics of the scalar potential, the magnetic flux generated by the inductor was analyzed. The inductor design contains several pairwise oppositely oriented cylindrical permanent magnets. The use of representations based on cylindrical harmonics for the magnetic flux and EMF induced in a circular circuit has made it possible to substantiate the rational number of cylindrical armature magnets and their geometric parameters. The losses caused by the technological necessity of using annular magnets instead of solid continuous cylindrical ones with the same overall dimensions were estimated. Analysis of losses of the magnetic flux linkage with the current winding resulting from the presence of technologically necessary clearance between the permanent magnets and the winding sections was carried out. An analysis of arrangement and switching of the winding sections was carried out. It has made it possible to justify the choice of rational cross-sectional dimensions. For experimental verification of the analytically obtained results, a physical model of a linear electric generator with an armature containing permanent cylindrical magnets was designed. Its translational periodic movement was provided through an external electric drive. Analysis of the EMF dependences recorded with a digital oscilloscope with a small (5 %) error has confirmed the obtained analytical results and correctness of the theses underlying the model

Author Biographies

Oleg Rezinkin, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkіv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of Engineering Electrophysics

Andriy Getman, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkіv, Ukraine, 61002

Doctor of Technical Sciences, Senior Researcher

Department of Theoretical Electrical Engineering

Serhiy Buryakovskiy, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkіv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Research and Design Institute “Molniya”

Borys Kubrik, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkіv, Ukraine, 61002

PhD, Associate Professor

Department of Theoretical Electrical Engineering

References

  1. Kondratenko, I. P., Rashchepkin, A. P., Vashchyshyn, D. D. (2010). Rozrakhunok elektrorushiynoi syly liniynoho heneratora dlia peretvorennia enerhiyi khvyl. Visnyk Kremenchutskoho derzhavnoho universytetu im. M. Ostrohradskoho, 4 (1), 72–75.
  2. Slynchenko, A. A., Klyuev, K. M. (2005). Sudovoy lineyniy dizel'-generator dlya propul'sivnyh kompleksov. Sudovye energeticheskie ustanovki, 12, 145–151.
  3. Miao, Y., Zuo, Z., Feng, H., Guo, C., Song, Y., Jia, B., Guo, Y. (2016). Research on the Combustion Characteristics of a Free-Piston Gasoline Engine Linear Generator during the Stable Generating Process. Energies, 9 (8), 655. doi: https://doi.org/10.3390/en9080655
  4. Menzhinski, A. B., Malashin, A. N., Sukhodolov, Y. V. (2019). Experimental Verification of the Adequacy of Mathematical Model of the Reciprocating Electric Electromagnetically Excited Generator. ENERGETIKA. Proceedings of CIS Higher Education Institutions and Power Engineering Associations, 62 (2), 168–176. doi: https://doi.org/10.21122/1029-7448-2019-62-2-168-176
  5. Kondratenko, I. P., Rashchepkin, A. P., Vashchishin, D. D. (2012). A dynamic model of a linear permanent magnet generator for converting wave energy. Tekhnichna elektrodynamika, 2, 113–114. Available at: http://techned.org.ua/2012_2/st54.pdf
  6. Mikalsen, R., Roskilly, A. P. (2007). A review of free-piston engine history and applications. Applied Thermal Engineering, 27 (14-15), 2339–2352. doi: https://doi.org/10.1016/j.applthermaleng.2007.03.015
  7. Jia, B., Smallbone, A., Mikalsen, R., Shivaprasad, K. V., Roy, S., Roskilly, A. P. (2019). Performance Analysis of a Flexi-Fuel Turbine-Combined Free-Piston Engine Generator. Energies, 12 (14), 2657. doi: https://doi.org/10.3390/en12142657
  8. Jia, B., Zuo, Z., Tian, G., Feng, H., Roskilly, A. P. (2015). Development and validation of a free-piston engine generator numerical model. Energy Conversion and Management, 91, 333–341. doi: https://doi.org/10.1016/j.enconman.2014.11.054
  9. Kosaka, H., Akita, T., Moriya, K., Goto, S., Hotta, Y., Umeno, T., Nakakita, K. (2014). Development of Free Piston Engine Linear Generator System Part 1 - Investigation of Fundamental Characteristics. SAE Technical Paper Series. doi: https://doi.org/10.4271/2014-01-1203
  10. Goto, S., Moriya, K., Kosaka, H., Akita, T., Hotta, Y., Umeno, T., Nakakita, K. (2014). Development of Free Piston Engine Linear Generator System Part 2 - Investigation of Control System for Generator. SAE Technical Paper Series. doi: https://doi.org/10.4271/2014-01-1193
  11. Feng, H., Guo, C., Yuan, C., Guo, Y., Zuo, Z., Roskilly, A. P., Jia, B. (2016). Research on combustion process of a free piston diesel linear generator. Applied Energy, 161, 395–403. doi: https://doi.org/10.1016/j.apenergy.2015.10.069
  12. Jia, B., Smallbone, A., Zuo, Z., Feng, H., Roskilly, A. P. (2016). Design and simulation of a two- or four-stroke free-piston engine generator for range extender applications. Energy Conversion and Management, 111, 289–298. doi: https://doi.org/10.1016/j.enconman.2015.12.063
  13. Mikalsen, R., Roskilly, A. P. (2008). The design and simulation of a two-stroke free-piston compression ignition engine for electrical power generation. Applied Thermal Engineering, 28 (5-6), 589–600. doi: https://doi.org/10.1016/j.applthermaleng.2007.04.009
  14. Jia, B., Tian, G., Feng, H., Zuo, Z., Roskilly, A. P. (2015). An experimental investigation into the starting process of free-piston engine generator. Applied Energy, 157, 798–804. doi: https://doi.org/10.1016/j.apenergy.2015.02.065
  15. Jia, B., Smallbone, A., Feng, H., Tian, G., Zuo, Z., Roskilly, A. P. (2016). A fast response free-piston engine generator numerical model for control applications. Applied Energy, 162, 321–329. doi: https://doi.org/10.1016/j.apenergy.2015.10.108
  16. Watson, G. N. (1922). A treatise on the theory of Bessel functions. Cambridge: Cambridge Univ. Press, 804. Available at: https://www.forgottenbooks.com/de/download/ATreatiseontheTheoryofBesselFunctions_10019747.pdf
  17. Smythe, W. (1950). Static and Dynamic Electricity. McGraw-Hill, 623. Available at: https://archive.org/details/StaticAndDynamicElectricity/page/n95/mode/2up
  18. Gray, A., Mathews, G. B. (1895). A treatise on Bessel functions and their applications to physics. Macmillan and Co., 316. Available at: https://archive.org/details/treatiseonbessel00grayuoft/page/n10/mode/2up
  19. Getman, A. V., Konstantinov, A. V. (2013). Cylindrical harmonics of magnetic field of linear magnetized cylinder. Tekhnichna elektrodynamika, 1, 3–8. Available at: http://techned.org.ua/2013_1/st1.pdf
  20. Getman, A. V., Konstantinov, A. V. (2011). Cylindrical harmonics of magnetic field of a uniformly magnetized cylinder. Elektrotekhnika i Elektromekhanika, 5, 51–53. Available at: http://repository.kpi.kharkov.ua/bitstream/KhPI-Press/13573/1/EE_2011_5_Get%27man_Tsilindricheskiye.pdf

Downloads

Published

2020-06-30

How to Cite

Rezinkin, O., Getman, A., Buryakovskiy, S., & Kubrik, B. (2020). Analytical and physical modeling of the magnetically active part of a linear electric generator with permanent magnets. Eastern-European Journal of Enterprise Technologies, 3(5 (105), 30–37. https://doi.org/10.15587/1729-4061.2020.205154

Issue

Vol. 3 No. 5 (105) (2020): Applied physics

Section

Applied physics

License

Copyright (c) 2020 Oleg Rezinkin, Andriy Getman, Serhiy Buryakovskiy, Borys Kubrik

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.