DOI: https://doi.org/10.15407/publishing2018.50.096

DETERMINATION OF SOLENOID PROFILE FOR GENERATING PULSED MAGNETIC FIELD ON FLAT CONDUCTOR BOUNDARY

V.M. Mykhailov*, M.P. Petrenko**
National Technical University “Kharkiv polytechnic institute”,
2, Kyrpychova str., Kharkiv, 61002, Ukraine,
е-mail:  This e-mail address is being protected from spambots. You need JavaScript enabled to view it
* ORCID ID : http://orcid.org/0000-0001-7989-5932
** ORCID ID : http://orcid.org/0000-0002-7413-9908

Method of magnetic flux continuation using system of coaxial annular elementary conductors with currents and corresponding Green’s function applied to flat boundary surface is developed. Green’s functions for axisymmetric magnetic field of system of annular elementary conductor – perfectly superconducting half-space are received. Samples of determination of massive single-turn solenoids, which generating given magnetic induction distribution on flat surface of conductor with sharp skin effect are given. Conformity check of received profiles to given boundary field distributions is implemented. Influence of profile top part cut on magnetic induction distribution is investigated. References 9, figures 4, table 1.
Key words: magnetic flux continuation, Green’s function, pulsed magnetic field, massive solenoid profile, sharp skin effect.

1. Belyi I.V., Fertik S.M., Khimenko L.T. Electromagnetic Metal Forming Handbook. Kharkov: Vyshcha Shkola, 1977. 168 p. (Rus)
2. Lagutin A.S., Ozhogin V.I. Strong pulsed magnetic fields in physical. Moskva: Energoatomizdat, 1988. 192 p. (Rus)
3. Mikhailov V.M. Continuation of magnetic flux and potential of flat meridian fields from flat surface. Elektrichestvo. 2002. No 10. P. 58–64. (Rus)
4. Konovalov O.Ya., Mikhailov V.M., Petrenko M.P. Solution of the problem of the magnetic field continuation from cylindrical surface by using Green’s function. Tekhnichna Elektrodynamika. 2016. No 5. P. 11–13. (Rus)
5. Mors F.M., Feshbakh G. Methods of theoretical physics. Vol. 1. Moskva: Inostrannaia Literatura, 1958. 931 p. (Rus)
6. Smite V. Electrostatics and Electrodynamics. Moskva: Inostrannaia Literatura, 1954. 604 p. (Rus)
7. Bins K., Laurenson P. Analysis and calculation of electric and magnetic fields. Moskva: Energiia, 1970. 376 p. (Rus)
8. Yanke E., Emde. F., Lesh F. Special functions (formulas, graphs, tables). Moskva: Nauka, 1968. 344 p.(Rus)
9. Mikhailov V.M. Green’s functions of axisymmetric electic and magnetic fields above flat boundary surface. Tekhnichna electrodynamika. 2018. No 4. P. 5–9. (Ukr)