Investtigation Of Sub harmonic Oscillations In Ferroresonance Chains With Obnem Magnetoprodes
DOI: 10.54647/physics14501 89 Downloads 4647 Views
Author(s)
Abstract
This article considers the mode of excitation of sub harmonic oscillations of the third order in a three-phase circuit consisting of active, capacitive and inductive elements having a common magnetic bond, which are analogous to the power line "line - unloaded transformer". Equations of motion are derived from the method of averaging with the corresponding phases. From the condition of the existence of the periodic solution, phase relations are determined that are different from the phase ratios for three-phase circuits with group Ferro magnetic elements. In the stationary mode, the conditions of excitation, the scope of existence, the dependence of the output values on the parameters of the circuit and the applied effect are determined.
Keywords
ferroresonance, self-oscillation, subharmonic, approximation, lowest harmonic, small parameters, ferromagnetic element
Cite this paper
Akram Tovbaev, Muxtar Ibadulaev, Zokir Safarov,
Investtigation Of Sub harmonic Oscillations In Ferroresonance Chains With Obnem Magnetoprodes
, SCIREA Journal of Physics.
Volume 7, Issue 6, December 2022 | PP. 235-243.
10.54647/physics14501
References
[ 1 ] | IbodullaevM.I, Tovbaev A.N., Esenbekov A.K., Self-oscillations at the frequency of sub harmonics in nonlinear electric chains and systems// E3S Web of Conferences Volume 138 (2019) International Scientific Conference “Construction and Architecture: Theory and Practice for the Innovation Development”:(CATPID-2019) Volume 138 (2019) |
[ 2 ] | IbadullaevM., Tovbaev A.N., Research of ferroresonance oscillations at the frequency of sub harmonics in three-phase non-linear electric circuits and systems// Rudenko International Conference on Methodological Problems in Reliability Study of Large Energy Systems, RSES 2020; Kazan; Russian Federation; 21-26 September 2020.Scopus: E3S Web of Conferences Volume 216, 14 December 2020. |
[ 3 ] | Mannapov A. N. Musabekov P. Investigation of a three-phase electroferromagnetic circuit with a ferromagnetic coupling in the excitation mode of the second sub harmonic/ / V. Sb. "Questions of the theory of nonlinear circuits and processes", - Tashkent, 1979. Vol. 269. –p.13-19 |
[ 4 ] | Joe Perez, Understanding sub-harmonics P.E., ERL Phase Power Technologies, Winnipeg, MB, Canada 2014 p.13 http://www.erlphase.com /downloads/ application_notes/ Understanding_ Sub_Harmonics.pdf. |
[ 5 ] | Sayenko Yu. L., Popov A.S., Investigation of ferroresonance processes taking into account the variation of the weber-ampere characteristics of voltage transformers/ Electric power and electromechanical systems: a collection of scientific works. - 2012. - No 736. - P. 123-132. |
[ 6 ] | Maslennikov V. A., Ustinov S. M. Low-frequency system oscillations and stability of the united energy systems / Energetika –Moscow, 2001. -№4. –p. 69-75. |
[ 7 ] | Bessonov L. A. Theoretical foundations of electrical engineering. Electrical circuits. 11th ed. -M.: Gardariki, 2007., -701 p. |
[ 8 ] | Rosenthal A.Y. PashenkoY.Y. Subharmonic oscillations at the substation of 35 square meters."Energy and Electrical Industry". Information scientific and technical sb.2, 1965,-P.53 |
[ 9 ] | Vishtibeyev A.V., K.P. Kadomskaya, Khnykov V.A. Improving the reliability of electrical networks by installing voltage transformers of the NAMI type / Electric stations. – 2002. – №3. pp. 47–51. |
[ 10 ] | Korn G. and Korn T. Reference book on mathematics for scientists and engineers., -M.: Nauka, 1984. pp. 64--74 |