American Journal of Electrical and Electronic Engineering
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American Journal of Electrical and Electronic Engineering. 2016, 4(4), 110-122
DOI: 10.12691/ajeee-4-4-2
Open AccessArticle

A Study on Overvoltage Distribution Across the High Voltage Winding of an Electric Power Transformer

Gloria Ciumbulea1, Lavinia Iordache (Bobaru)1, Sorin Deleanu2, , Mihai Iordache1, Neculai Galan1, Scott Basinger3, Gregory Von Lipinski2 and David Carpenter4

1“POLITEHNICA” University of Bucharest, Bucharest, Romania

2Northern Alberta Institute of Technology, Edmonton, Canada

3Eaton Corporation, Edmonton, Canada

4GE’s Grid Software Solutions, Technical Training Institute, Redmond, Washington, USA

Pub. Date: September 15, 2016

Cite this paper:
Gloria Ciumbulea, Lavinia Iordache (Bobaru), Sorin Deleanu, Mihai Iordache, Neculai Galan, Scott Basinger, Gregory Von Lipinski and David Carpenter. A Study on Overvoltage Distribution Across the High Voltage Winding of an Electric Power Transformer. American Journal of Electrical and Electronic Engineering. 2016; 4(4):110-122. doi: 10.12691/ajeee-4-4-2


The main objective of this paper is to represent effects of overvoltage on a transformer winding by analysis and modelling with special attention given to the voltage distribution across the winding. The authors have considered both approaches in modelling the winding: windings with distributed electrical parameters, and secondly disk coils with concentrated parameters. All known models are assembled in a general model based upon distributed parameters, while the excitation voltages display sinusoidal variation in time (commutation) or step. Both induced and commutation voltages, applied across the transformer winding, will generate free oscillations which are analyzed further on. According to the model, the transformer’s windings are divided in several disk coils with concentrated known parameters. This results in a complete electrical network used for simulations. All simulations have been performed using the software package SYSEG (SYmbolic State Equation Generation). Using SYSEG package, from the state equations assembled in terms of the disk coils voltages, one can obtain the overvoltage across the transformer winding as function of time. If the frequency of the commutation voltage and the frequency of the free oscillations are in close range, then the voltage across the disk coils shows a non-uniform distribution. An important aspect of this paper is accounting for asymmetry of the transformer by modelling the reinforced insulation of the first turns of the disk coils of the transformer’s high voltage winding. This affects the value of the inter-turn capacitance of these coils, and is an aspect which is treated in our simulations.

transformer overvoltage modeling disk coils simulation resonance

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[1]  Y. Shibuya, , and N. Hosokawa, (1997) “Analysis of very fast transient over voltage in transformer winding,” Proc. Inst. Elect. , Gen. Trans. Distrib., vol. 144, no. 5, pp. 461-468.
[2]  S. M. Hassan Hosseini, Mehdi Vakilian, and Gevork B.; Gharehpetian, (2008) “Comparison of Transformer Detailed Models for Fast and Very Fast Transient Studies,” IEEE Trans. on Power Delivery, vol. 23, no. 2, pp. 733-741.
[3]  M. Popov, L. V. Sluis, and G. C. Paap, (2003) “Computation of very fast transient over voltages in transformer windings, ” IEEE Trans. Power Del., vol. 18, no. 4, pp. 1268-1274.
[4]  M. Popov, L. van der Sluis, R. P. P. Smeets, and J. Lopez Roldan, (2007) “Analysis of very fast transients in layer-type transformer windings,” IEEE Trans. Power Del., vol. 22, no. 1, pp. 238-247.
[5]  J. L. Guardado and K. J. Cornick, (1989) “A computer model for calculating steep-fronted surge distribution in machine windings,” IEEE Trans. Energy Convers., vol. 4, no. 1, pp. 95-101.
[6]  P. G. McLaren and H. Oraee, (1985) “Multiconductor transmission-line model for the line-end coil of large AC machines,” Proc. Inst. Elect. Eng. B, vol. 132, no. 3, pp. 149-156.
[7]  Z. Azzouz, A. Foggia, L. Pierrat, and G. Meunier, (1993) “3D finite element computation of the high frequency parameters of power transformer windings”, IEEE Trans. Magn., vol. 29, no. 2, pp. 1407-1410.
[8]  D. J. Wilcox, M. Conlon, and W. G. Hurley, (1988) “Calculation of self and mutual impedances for coils on ferromagnetic cores,” Proc. Inst. Elect. Eng., vol. 135, no. 7, pp. 470-476.
[9]  Guishu Liang, Haifeng Sun, Xile Zang and Xiang Cui (2006) “Modeling of Transformer Windings under Very Fast Transient Overvoltages,” IEEE Transactions on Power Delivery, vol. 48, no. 4, pp. 733-741.
[10]  R. M. Del Vecchio, B. Poulin, and R. Ahuja, (1998) “Calculation and measurement of winding disk capacitances with wound-in-shields,” IEEE Trans. Power Del., vol. 13, no. 2, pp. 503-509.
[11]  M. Eslamian and B. Vahidi (2012) “New Methods for Computation of the Inductance Matrix of Transformer Windings for Very Fast Transient Studies,” IEEE Trans. Power Del., vol. 27, no. 4, pp. 2326-2333.
[12]  A.Ahmad and Ph. Auriol (1992) “Conformal Mapping Method for Calculation of Rectangular Winding Parameters,” IEEE Trans. Magn., vol. 28, no. 5, pp. 2823-2825.
[13]  K.G.N.B Abeywickrama, A.D. Podoltsev, Y.V. Serdyuk, S.M. Gubanski (2007) “Computation of Parameters of Power Transformer Windings for Use in Frequency Response Analysis,” IEEE Trans. Magn., vol. 43, no. 5, pp. 1983-1990.
[14]  A.D. Podoltsev, K.G.N.B Abeywickrama, Y.V. Serdyuk, S.M. Gubanski (2007) “Multiscale Computations of Parameters of Power Transformer Windings at High Frequencies. Part II: Large Scale Level,” IEEE Trans. Magn., vol. 43, no. 12, pp. 4076-4082.
[15]  P. Gomez, and F. de Leon, (2011) “Accurate and Efficient Computation of the Inductance of Transformer Windings for the Simulation of Very Fast Transients,” IEEE Trans. Power Del., vol. 26, no. 3, pp. 1423-1431.
[16]  A. Boyajian, (1954) “Leakage Reactance of Irregular Distributions of Transformer Windings by the Method of Two Fourier Series,” AIEE Trans. Power App. Syst., vol. 29, no. 2, pt. 3, pp. 1407-1410.
[17]  L. Rabins, (1956) “Transformer Reactance Calculations with Digital Computers,” AIEE Trans. vol. 75, pt. 1, pp. 261-267.
[18]  A. Predota and Zdenka Benesova, (2011) “Fast Transeinet Overvoltage in Transformer Winding,” Przeglad Elektrotechniczny (Electrical Review), ISSN 0033-2107, R. 87, NR. 5, pp.142-145.
[19]  K. Prakasam, M. Surya Kalavathi, D. Prabhavathi (2016) “Analysis of Very Fast Transient Over Voltages (VFTOs) of Transformer in Gas Insulated Substations (GIS) using Wavelet Techniques,” Proc. of 3rd International Conference on Electrical, Electronics, Engineering Trends, Communication, Optimization and Sciences (EEECOS) -2016, pp. 749-755.
[20]  Tao Wang, Huaying Dong and Guishu Liang (2008) “Overvoltage Distribution Calculation of Transformer Windings under VFTO Considering Frequency-dependent Parameters via Krylov Subspace Technique,” Proc. of 3rd International Conference on Electric Utility and Restructuring and Power Technologies , DRPT2008 , Nanjing, China, 6-8 April 2005, pp. 887-889.
[21]  M. Bagheri, M. Vakilian, A. Hekmati and R. Heidarzadeh (2007) “Influence of Electrostatic Shielding of Disc Winding on Increasing the Series Capacitance in Transformer,” Power Tech 2007, Laussane, Switzerland, July 1-5, pp.1780-1784.
[22]  M. Heidarzadeh and M.R. Besmi (2013) “Influence of Transformer Layer Winding Parameters on the Capacitive Characteristic Coefficient,” International Journal on Technical and Physical Problems of Engineering, (IJTPE) ISSN 2077-3528, Issue 15, Vol. 5, No. 2, pp. 22-28.
[23]  M. Heidarzadeh and M.R. Besmi (2014) “Influence of the Parameters of Disk Winding on the Impulse Voltage Distribution in Power Transformers,” Iranian Journal of Electrical and Electronic Engineering, Vol.10, No.2, pp.143-141.
[24]  S.G. Bontidean, F. Rezmerita, M.Iordache, N. Galan, (2013)Analiza prin simulare a distribuţiei supratensiunilor în înfăşurarile transformatorului; SME 2013, Bucureşti (in Romanian).
[25]  M. Iordache, S. Deleanu, Gloria Ciumbulea, Lavinia IORDACHE (BOBARU), N. Galan, (2014) “Distribuţia supratensiunii de comutaţie in lungul înfăşurării transformatorului electric,” SME 2014, Bucureşti (in Romanian).
[26]  M. Iordache, Lucia Dumitriu, D. Delion (2000) “SYSEG – SYmbolic State Equation Generation”, User’s Manual, Catedra de Electrotehnică, U.P.B., Bucureşti (in Romanian).
[27]  M. Iordache, Lucia Dumitriu, (2000) “Symbolic state equations for analog circuits”, Revue Roum. Sci. Techn.- Électrotechn. et Énerg., Bucarest , tom 45, nr.1, pp. 21-37.
[28]  M. Iordache, Lucia Dumitriu, I. Matei, (2002) “SYMNAP – SYmbolic Modified Nodal Analysis Program”, User Guide, Electrical Department Library, Politehnica University of Bucharest.
[29]  N. Galan (2011) Maşini electrice, Editura Academiei Române, Bucureşti.