Abstract
Time-variant axial and radial electromagnetic for ces under inrush current and short-circuit current are calculated (by finite element method; FEM) and compared. A simplified analytic method is presented for computation of inrush current in transformer. The simulation results obtained by this method are compared with the measured values. A compact three-phase, core-type 132/20 KV, 30 MVA, power transformer is modeled, employing two-dimensional (2D) FEM, the different forces under short-circuit and inrush current conditions are evaluated as a function of time. The simulation results for this sample transformer show that the inrush current axial force is larger than clamping force (which is equal to the net downward axial force that is exerted on the windings during the steady state short-circuit condition) even 2.4 s after energizing the transformer. Since the inrush current lasts longer and normally occurs more frequently than a short-circuit current in a power transformer (while, at present, it is not covered by the standard tests or transformer design procedures), it can be a serious threat to damage of transformer windings.
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Kraetge, A.; Kalkner, W.; Plath, R.; Plath, K.-D.: Diagnostic of the short-circuit duty of power transformers. In: Proceedings of the XIVth international symposium on high voltage engineering, Tsinghua university, Beijing, China, August 25–29 (2005)
Steurer M., Fröhlich K.: The impact of inrush currents on the mechanical stress of high voltage power transformer coils. IEEE Trans. Power Del 17(1), 155–160 (2002)
Vanti M.G., Bertoli S.L., Cabral S.H.L., Gerent A.G. Jr., Kuo-Peng P.: Semi-analytic solution for a simple model of inrush currents in transformers. IEEE Trans. Magnetic 44(6), 1270–1273 (2008)
Prikler, L.; Bánfai, G.; Bán, G.; Becker, P.: Reducing the magnetizing inrush current by means of controlled energization and de-energization of large power transformers. Electric power system research. Elsevier, pp. 642–649 (2006)
Jamali S., Ardebili M., Abbaszadeh K.: Calculation of short-circuit reactance and electromagnetic forces in three phase transformer by finite element method. Electrical machines and systems, ICEMS 2005 3, 1725–1730 (2005)
Girgis, R.S.; teNyenhuis, E.G.: Characteristics of inrush current of present designs of power transformers. Power Engineering Society General Meeting, IEEE, pp. 1–6 (2007)
Abdulsalam S.G., Xu W.: A sequential phase energization method for transformer inrush current reduction-transient performance and practical considerations. IEEE Trans. Power Del. 22(1), 208–216 (2007)
Faiz J., Ebrahimi B.M., Noori T.: Three- and two-dimensional finite-element computation of inrush and short-circuit electromagnetic forces on windings of a three-phase core-type power transformer. IEEE Trans. Magnetics 44(5), 590–597 (2008)
Sharifian M.B.B., Esmaeilzade R., Farrokhifar M., Faiz J., Ghadimi M., Ahrabian G.: Computation of a single-phase shell-type transformer windings forces caused by inrush and short-circuit currents. J. Comput. Sci. 4(1), 51–58 (2008)
Renyuan T., Yan L., Dake L., Lijian T.: Numerical calculation of 3D transient eddy current field and short-circuit electromagnetic force in large transformers. IEEE Trans. Magnetic 28(2), 1418–1421 (1992)
Kladas A.G., Papadopoulos M.P., Tegepoulos J.A.: Leakage flux and force calculation on power transformer windings under short-circuit: 2D and 3D models based on the theory of images and the finite element method compared to measurements. IEEE Trans. Magnetic 30(5), 3487–3490 (1994)
Wang Z.Q., Wang M., Ge Y.Q.: The axial vibration of transformer winding under short-circuits condition Power system technology. Proceedings 3, 1630–1634 (2002)
de Azvedo, A.C.; Delaiba, A.C.; de Oliveria, J.C.; Carvalho, B.C.; de Bronzeado, S.H.: Transformer mechanical stress caused by external short-circuit: a time domain approach. In: International Conference on Power Systems Transients (IPST’07) in Lyon, French, June 4–7 (2007)
Feyzi, M.R.; Sabahi, M.: Finite element analysis of short-circuit forces in power transformers with asymmetric conditions. IEEE, pp. 576–581 (2008)
FEMLAB (COMSOL Multi-physics) user’s guide and introduction, COPYRIGHT 1994-2002 by COMSOL AB
Del Vecchio, R.M.; Poulin, B.; Feghali, P.T.; Shah, D.M.; Ahuja, R.: Transformer design principles, with application to core-form power transformers. CRC Press, Boca Raton (2002)
Wang, J.; Hamilton, R.: Analysis of transformer inrush current and comparison of harmonic restraint methods in transformer protection. 61st Annual Conference for protective relay engineers, pp. 142–169, 1–3 (2008)
Calculation of Windings Short Circuit Forces in Transformer, Iran Transfo Company’s Internal report (2002)
Li, H.; Li, Y.; Sun, X.: Analysis of three-phase power transformer windings forces caused by magnetic inrush and short-circuit currents. In: Proceedings of 2009 IEEE International Conference on Applied Superconductivity and Electromagnetic Devices Chengdu, China, September 25–27 (2009)
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Eslami, A., Vakilian, M. Time-Variant Evaluation of Electromagnetic Forces on Transformer Windings During Inrush Current and Short-Circuit by FEM. Arab J Sci Eng 38, 883–893 (2013). https://doi.org/10.1007/s13369-012-0362-7
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DOI: https://doi.org/10.1007/s13369-012-0362-7