The Development of a mathematical model of a current converter with nonlinear magnetic resistance
DOI:
https://doi.org/10.52167/2790-5829-2022-1-1-22-31Keywords:
mathematical model, current converter, magnetic circuit, nonlinear magnetic resistance, magnetic flux, magnetomotive force, quasilinearization method, machine calculation methodAbstract
A mathematical model of a current converter with nonlinear magnetic resistance has been developed, which makes it possible to increase the accuracy of the analytical calculation of magnetic circuits, taking into account the relationship between the specific magnetic resistance and magnetic induction. Methods for solving differential equations of magnetic circuits of a current converter with longitudinally distributed parameters are applied. An expression is obtained for the dependence of the specific magnetic resistance on magnetic induction.
References
[1] Amirov S.F., Safarov A.M., Rustamov D.Sh., Ataullaev N.O. Electromagnetic converters of high currents for traction power supply systems// Tashkent, "Fan va texnologiya", 2018.
[2] Demirchyan K.S., Neiman L.R., Korovkin N.V., Chechurin V.L. Theoretical foundations of electrical engineering: Textbook for universities. In 3 t. SPb. Peter, 2006.
[3] Safarov A.M., Sattarov Kh.A., Jumaboyev S.X. Mathematical modeling of static characteristics of electromagnetic current converter to detect current asymmetry of the traction power supply system// Intern. Conf. on Information Science and Communications Technologies Applications, Trends and Opportunities ICISCT 2019, Tashkent, 4-6 November, 2019. http://www.icisct2019.org/ 978-1-7281-2564-0/19/ ©2019
[4] Safarov A.M., Sattarov Kh.A., Jumaboyev S.X. Device for detection of the phase current asymmetry in the three-phase lines of non-traction consumers// MIST: Aerospace 2019 IOP Conf. Ser: Materials Science and Engineering 734 (2020) 012196 doi: 10.1088/1757-899X/734/1/012196, P.4.
[5] Safarov A.M., Sattarov Kh.A., Jumaboyev S.X. Device for conversion of equalizing current at the site of the traction ac network// E3S Web of Conf. 139, 01034 (2019) RSES 2019 https://doi.org/10.1051/e3sconf/201913901034, P.3.
[6] Amirov S.F., Safarov A.M., Turdybekov K.H., Rustamov D.S., Khushbakov B.H. Device for current conversion. Patent of the Republic of Uzbekistan. No.UZ IAP 04217. 2010. No. 8. Official Bulletin.
[7] Safarov A.M. Analysis of the type of approximation of the magnetization curve for high-current electromagnetic converters// Scientific - technical journal - NTZH FerPI, 2020, T.24, No.3, pp.50-56.
[8] Krainov A.Yu., Moiseeva K.M. Numerical methods for solving boundary value problems for ordinary differential equations: textbook. stipend. - Tomsk: STT, 2016.
[9] Filippov A. F. Introduction to the theory of differential equations: Textbook. Moscow: Dom Kniga, 2007.
[10] Bedritsky I., Jurayeva K., Nazirova Z., Bazarov L. Amplitude and phase relations in a two-circuit parametric circuit of ferroresonance nature. E3S Web of Conferences, 2021, 264, 04030
[11] Safarov A.M., Jurayeva K.K. Conceptual model of the Hall effect for the development of current converters. 2020 International Conference on Information Science and Communications Technologies, ICISCT 2020, 2020, 9351524.
[12] Bedritskiy I., Jurayeva K., Bazarov L. Evaluation of the stability of the parametric phase number converter. E3S Web of Conferences, 2020, 216, 01092.
