Abstract
The fundamentals of a new theory of a two-winding autotransformer have been suggested, and a universal 4T-shaped equivalent circuit has been obtained. The circuit has a universal behavior, since it provides mapping of all the magnetic fluxes in the window and in the yoke of the autotransformer, as well as in the region between the yoke and autotransformer, tank in the case of saturation under any load. It is shown that super- and antifluxes with respect to the idle flux occur in the magnetic circuit of a short-circuited autotransformer. It has been shown that these fluxes can be much higher than the corresponding fluxes in shortcircuited transformers. It has been concluded that the autotransformer theory should be refined. It is shown that the solution of the problem requires a fundamental understanding of the operation of transformers and autotransformers.
Similar content being viewed by others
References
Elektrodinamicheskaya stoikost’ transformatorov i reaktorov pri korotkikh zamykaniyakh (Electrodynamical Resistance of Transformers and Reactors under Short Circuits), Lur’e, A.I., Ed., Moscow: Znak, 2005.
Boyajian, A., Resolution of transformer reactance into primary and secondary reactance, AIEE Trans., 1925, vol. 44, pp. 805–810.
Leon, F., Farazmand, A., and Joseph, P., Comparing the T and equivalent circuits for the calculation of transformer inrush currents, IEEE Trans. Power Delivery, 2012, vol. 27, no. 4.
Grigorov, I.B., Flows in magnetic circuits of powerful power transformers and autotransformers by considering leakage flux, Elektrotekhnika, 1975, no. 4.
Konov, Yu.S., Transformers and autotransformers magnetic circuits’ saturation under short circuits, Elektrotekhn. Prom. Ser. Apparaty Vys. Napryazhen., Transformatory, Silovye Kondensatory, 1976, no. 11 (67).
Vol’dek, A.I., Elektricheskie mashiny (Electrical Machines), Leningrad: Energiya, 1974.
Ivanov-Smolenskii, A.V., Elektricheskie mashiny (Electrical Machines), Moscow: Energiya, 1980.
Petrov, G.N., Elektricheskie mashiny (Electrical Machines), part 1: Transformatory (Transformers), Moscow: Energiya, 1974.
Vazhnov, A.I., Elektricheskie mashiny (Electrical Machines), Leningrad: Energiya, 1968.
Vasyutinskii, S.B., Voprosy teorii i rascheta transformatorov (Transformers: Theory and Calculation), Leningrad: Energiya, 1970.
Shakirov, M.A., The way to analyze distribution irregularity of magnetic loads and looses in transformers on the base of magnetoelectrical equivalent circuits, Elektrichestvo, 2005, no. 11.
Shakirov, M.A., T-type equivalent circuits for transformers, Elektrichestvo, 2010, no. 5.
Shakirov, M.A., Poynting vector and the new transformers theory. Part 1, Elektrichestvo, 2014, no. 9.
Shakirov, M.A., Poynting vector and the new transformers theory. Part 2, Elektrichestvo, 2014, no. 10.
Shakirov, M.A., Andrushchuk, V.V., and Duan’ Liyun, Anomalous magnetic fluxes in two-winding transformer under short circuit, Elektrichestvo, 2010, no. 3.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Shakirov, 2017, published in Elektrotekhnika, 2017, No. 5, pp. 53–59.
About this article
Cite this article
Shakirov, M.A. The equivalent circuit of a two-winding autotransformer with mapping of magnetic fluxes. Russ. Electr. Engin. 88, 289–295 (2017). https://doi.org/10.3103/S106837121705011X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S106837121705011X