M. A. Shakirov
Price: 50 руб.
The article illustrates the failure of the traditional transformer theory on the example of an idealized transformer. The fundamentals of the new theory are set forward beginning from the principle of operation and motion of electromagnetic fi eld in the transformer window; new equivalent circuit and vector diagrams are examplifi ed. In the article’s conclusion it is presented the more correct decision on the sudden short circuit in real
transformers.
Keywords: core, magnetic fl ux, short circuit, transformer, Poynting vector, magnetic fi eld.
REFERENCES
1. de Leon, F., Gomez, P., Martinez-Velasco, J.A., & Rioual, M. Chapter 4. Transformers. Boca Raton (Ed.), Power System Transients: Parameter Determination, 2009,
USA: CRC Press.
2. de Leon, F., Farazmand, A., & Joseph, P. Comparing the T and π Equivalent
Circuits for the Calculation of Transformer Inrush Currents. IEEE Trans. on Power
Delivery, 2012, Vol. 27, Iss. 4, pp. 2390–2398.
3. Steinmetz, C.P. Theory and Calculation of Alternating Current Phenomena
(1st ed.). 1897, USA: McGraw-Hill Book Company.
4. Boyajian, A. Resolution of transformer reactances into primary and secondary
reactances. AIEE Trans., 1925, Vol. XLIV, pp. 805–820.
5. Markvardt, Е.G. Electromagnetical Calculatings of Transformers. 1938, Moscow:
United Scientifically –Technical Publ. House.
6. Penchev, P.R. V’erkhu razseivaneto v transformatorite. 1969, Sofija: Technology.
7. Cherry, E.C. The duality between interlinkend electric and magnetic circuits and
the formation of transformer equivalent circuits. Proceedings of the Physical Society,
1949, Section B, Vol. 62, pp.101–111.
8. Blume, L.F., Boyajian, A., Camilly, G., Lennox, T.C., Minneci, S., & Montsinger, M. V. Transformer Engineering: A treatise on the Theory, Operation and Application of Transformers. 1951, New York: Wiley.
9. Slemon, G.R. Equivalent Circuits for Transformers and machines including nonlinear effects. Proc. Inst. Elect. Eng., 1953, Pt. IV, Vol. 100, Iss. 5, pp.129–143.
10. Leites, L.V., & Pinsov, А.М. Equivalent circuits of the Polywinding Transformers
(in Russian). 1974, Moscow: Publ. Energiya.
11. Shakirov, M.A. Magneto-electric Equivalent Circuits of Inductance Coils and
Transformers. Electrichestvo, 2003, No. 11, pp. 34–45.
12. Shakirov, M.A. An analysis of the Irregularity in Distribution of Magnetic Loads
and Losses in Transformers using magneto-electric equivalent circuits. Electrichestvo,
2005, No. 11, pp. 15–27.
13. Aleksandrov, G.N., & Shakirov, M.A. Analysis of steady-state and transient
processes in managed shunt reactors transformer type based on magneto-electric
equivalent circuit. Proceedings of the Russian Academy of Sciences. Energetika, 2005,
No. 4, pp. 70–90.
14. Shakirov, M.A. 2T-Shaped Equivalent Circuits of a Transformer. Electrichestvo,
2010, No. 5, pp. 19–36.
15. Shakirov, M.A. Theoretical electrical engineering. Tensors. Electrodynamics.
General relativity. 2011, St. Petersburg: SPbGPU.
16. Shakirov, M.A. Theory of transformer. Part 1. The idealized Transformer with
thin Windings. St. Petersburg State Polytechnical University Journal, 2012, No. 154-2,
pp. 85-110.
17. Shakirov, M.A., Varlamov, U.V., & Liyung, D. Paintings abnormal magnetic
stream in shell-type Transformer while Short circuit. St. Petersburg State Polytechnical
University Journal, 2010, No. 1(95), pp. 107–120.
18. Shakirov, M.A., Andrushchuk, V.V., & Liyung, D. Anomalous Magnetic Fluxes
in a Two-Winding Transformer during a Short Circuit mode. Moscow, Electrichestvo,
2010, No. 3, pp. 55–63.
19. Shakirov, M.A., Andrushchuk, V.V., & Varlamov, U.V. New Theory of Transformer. Proceedings of OIPE 2012, 2012 Ghent, Belgium, pp. 208–209.
20. Shakirov, M.A. (2013, August). Mistakes in Traditional and Beginning of the
New Transformation Theory. International Symposium on Applied Electromagnetics
and Mechanics (ISEM 2013), Abstract Book of the 16-th edition of the ISEM, pp. 339-
340.
21. Shakirov, M.A. The Pointing Vector and New Theory of Transformer. Pt. 1.
Electrichestvo, 2014, No. 9.
22. Shakirov, M.A. The Pointing Vector and New Theory of Transformer. Pt. 2.
Electrichestvo, 2014, No. 10.
23. Shakirov, M.A. Transformer model of synchronous generators. St. Petersburg
State Polytechnical University Journal, 2014, No. 3(202), pp. 119–130.
