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Transformer Modelling for the Frequency and Transient Analyses, with Non-Uniform Inductance Emulating the Inter-Turn Magnetic Coupling

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Języki publikacji
EN
Abstrakty
EN
A new procedure for analyzing power transformer windings with location-dependent circuit parameters, such as the series inductance, is presented. This dependence is introduced in order to take the inter-turn mutual inductive coupling into consideration. It can be expressed either by analytical expressions or even in a tabulated form. The paper addresses both the frequency and time domain analyses. They are based on replacing the winding by an adequate number of equivalent cascade connected two-ports. In contrast to the usual practice of applying the simple medium line representation, each of these two-ports is treated as a long transmission line. Their A, B, C, D generalized circuit constants will be therefore generally location-and frequency-dependent. The analyses will be conducted in the complex s-domain. The corresponding time-domain results can then be obtained by applying a numerical inverse Laplace transform. Expressions for the winding’s input impedance with different treatments of the transformer’s neutral point will be derived for any assumed number of the equivalent two-ports. Results pertinent to the frequency characteristics including the resonance frequencies are presented. The paper also describes the winding’s transient response to the application of two standard voltage stimuli. The suggested approach is validated by its application to a case study for which an analytical closed-form solution is available. The analysis of windings exhibiting nonuniformities in more than one equivalent.
Rocznik
Strony
1--11
Opis fizyczny
Bibliogr. 15 poz., rys., tab.
Twórcy
autor
  • Giza, Cairo, Egypt
Bibliografia
  • 1. Greenwood A . : Electrical Transients in Power Systems. Book, Wiley-Interscience, Second edition, 1991, Chapter 11.
  • 2.Degeneff R.C . : A General Method for Determining Resonances in transformer Windings”, IEEE Trans. on PAS, Vol.96, 1977, No.2, pp.423-430.
  • 3 Hosseini S.,Vakilian M.,Gharehpetian G. : Comparison of Transformer Detailed Models for Fast and Very Fast Transient Studies. IEEE Trans. Power delivery, Vol.23, no.2 pp.733-741, April 2008.
  • 4. Jayaratchagan R.,Shriram B . : Impulse Voltage Distribution. International Journal of Engineering Research & Technology (IJERT), Vol. 2 Issue 4, April - 2013, ISSN: 2278-0181, pp. 1203-1207.
  • 5. Saied M.M.,Al Fuhaid A.S .: Electromagnetic Transients in Line-Transformer Cascade by a Numerical Laplace Transform Technique. IEEE Trans. on PAS, Vol.104, 1985, pp.2901-2909.
  • 6. Saied M.M.: Effect of Cable Sections on the Electromagnetic Transients in Power Networks. J. Electric Machines and Power Systems, 15:17-35, 1988.
  • 7. Saied M.M . : The Transient Response and Frequency Characteristics of Power Transformers Having Non-Uniform Winding Insulation. Paper No. 4453. To be published in J. of Power Electronics and Power Systems, 2014.
  • 8. Saied M.M .: Effect of Transformer Sizes and Neutral Treatments on the Electromagnetic Transients in Transformer Substations. IEEE Trans. on Industry Applications, Vol.31, 1995, No.2, pp. 384-391.
  • 9. Saied M.M ., A l Fuhaid A . S . : Frequency Response of Two- Winding Transformers Obtained by a Distributed-Parameter s-Domain Method. Journal of Electric Power Components and Systems, Vol.32, 2004, No.8, pp. 755-766.
  • 10. S a i e d M . M .: New Solution Technique for the Frequency and Transient Response of Transformer Windings with All Inter-Turn Mutual Inductances and Capacitances Included. Paper No. 3143, J. Trends In Electrical Engineering, Volume 3, Issue 1, ISSN: 2249- 4774, 2013.
  • 11. Saied M.M.: A Contribution to the Frequency Analysis and the Transient Response of Power Transformers’ Windings. submitted for publication in J. Electric Power Components and Systems, 2014.
  • 12. Saied M.M. : On the Transient Response and Frequency Analysis of Transmission Line Towers. ISRN Power Engineering, Hindawi Publishing Corporation, Volume 2013 v(2013), Article ID 874647, 8 Pages. Available at: http://dx.doi.org/10.1155/2013/874647.
  • 13.Predota A., Benesova Z., Koudela L : Analysis of Transients in Transformer Winding Respecting Space-Varying Inductance. PRZEGLĄD ELEKTROTECHNICZNY (Electrical Review), ISSN 0033-2097, R. 88 NR 7b/ (2012), pp. 220-222.
  • 14. Predota A., Benesova Z. : Fast Transient Overvoltage in Transformer Winding. PRZEGLĄD ELEKTROTECHNICZNY (Electrical Review), ISSN 0033-2097, R. 87 NR 5/2012, pp. 142-145.
  • 15. Wolfram Mathematica Tutorial Collection: Advanced Numerical Differential Equation Solving in Mathematica. Book, Wolfram Research Inc., 2008, available at: http://www.wolfram.com/learningcenter/tutorialcollection/ AdvancedNumericalDifferentialEquationSolvingInMathematica/
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4ef952d5-29a0-4834-b913-036f00538fdd
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