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A Study on the Low Frequency Transients in Power Transformers and Some Protection-Related Issues

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EN
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EN
This paper presents typical results for the non-linear low frequency transients following the energization of power transformers. The three operating conditions of no-load, full-load and internal faults are considered. A direct analytical procedure is applied for solving the corresponding set of differential equations describing the transformers equivalent circuit. The core representation is based on the use of curve fitting applied to their magnetization curves. The results include plots versus time for the supply current, the core flux, the magnetizing current as well as the internal induced voltage. Moreover, graphs for the hysteresis loops relating the instantaneous values of both the excitation current and the core flux are given. An approach is also presented for the numerical determination of the amplitudes of the different harmonics existing in any of these signals utilizing the corresponding equidistant samples. As examples, the DC offset as well as harmonics up to the fourth order are considered. It is shown that several useful features can be extracted from the results in both the time and harmonic domains that can assist in differentiating between overcurrents resulting from short-circuits or inrush phenomena.
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9--16
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Bibliogr. 17 poz., rys., tab.
Bibliografia
  • 1. Abdul-Rahman K h . H . , Saied M. M . : On the Exact Computation of Some Typical Transient and Dynamic Phenomena in Power Networks Including Iron-core Transformer. Proc. of the IEEE Industrial and Commercial Power Systems Conference, IEEE Industry Applications Society, Irvine, California, USA, April 25 - May 2, 1994
  • 2. Baoming G . , Almeida A.. , Qionglin Z . , Xiangheng W.: An Equivalent Instantaneous Inductance-Based Technique for Discrimination between Inrush Current and Internal Faults in Power Transformer. IEEE Transactions On Power Delivery, Vol. 20 (2005), Iss. 4, pp. 2473-2482
  • 3. Bogarra S. , Font A.. , CandelaI. , Pedra J . : Parameter estimation of a transformer with saturation using inrush measurements. Electric Power Systems Research, Vol. 79 (2009), Iss. 2, pp. 417-425
  • 4. Bronziado H . S . , Brogan P. B . , Yacamini R . : Harmonic Analysis of Transient Currents during Sympathetic Interaction. IEEE Transactions on Power Systems, Vol. 11 (1996), Iss. 4, pp. 2051-2056
  • 5. Computer Relaying. IEEE Tutorial Course Text No. 79EH0148-7- PWR, The IEEE Power Engineering Society
  • 6. Ghania S .M. : Internal Faults/In-Rush Currents Discrimination Based on Fuzzy/Wavelet Transform in Power Transformers. International Journal of Electrical and Power Engineering, Vol. 6 (2012), Iss. 3, pp. 100-110
  • 7. Greenwood A. : Electrical Transients in Power Systems. Second Edition. Wiley-Interscience 1991, Chapters 5&12
  • 8. Gross C.A. : Power System Analysis. Second Edition. John Wiley & Sons, New York 1986, Chapter 11
  • 9. Lucas J .R. , Mc Laren P.G. : B-H Loop Representation for Transient Studies. Intl. Journal of Electrical Engineering Education (IJEEE), Vol. 28 (1991), No. 3, pp. 261-270
  • 10. Makky A-R. A.: Representation of Magnetization Curves. Paper No. A78054-9 presented at the IEEE PES Winter Meeting, New York, Jan. 29-Feb. 3, 1978
  • 11. Makky A - R . A .: Sympathetic Interaction between Loaded Transformers Caused by Inrush Phenomenon. Proc. of the Sixth Middle East Power Conference (MEPCON’98), Egypt, Dec. 15-17, 1998, pp. 119-123
  • 12. Martinez J .A. , Mo r k B .A.: Transformer Modeling for Simulation of Low Frequency Transients. Proc. of the Power Engineering Society General Meeting, Vol. 2, Toronto, July 13-17, 2003
  • 13. Mason C.R.: The Art and Science of Protective Relaying. John Wiley, New York 1956
  • 14. Perez -Rojas C. : Fitting Saturation and Hysteresis via Arctangent Functions. IEEE Power Engineering Review, Vol. 20 (2000), Iss. 11, pp. 55-57
  • 15. Saied M. : A Method for Distinguishing Between Faults and Inrush Phenomena in Power Transformers. Proc. of the 2007 International Conference on Advanced Power System Automation and Protection, APAP2007-485, April 24-27, 2007, Jeju, Korea
  • 16. Saied M. : A Study on the Inrush Current Phenomena in Transformer Substations. Proc. of the 36th Annual Meeting of the IEEE Industry Applications Society, Paper P-28-3, pp. 1180-1187, Chicago IL, October 2001
  • 17. Wiechowski W. , Bak-Jensen B . , Leth Bak C . , Lykkegaard J . : Harmonic Domain Modeling of Transformer Core Nonlinearities Using DigSilent Power Factory Software. Electric Power Quality and Utilisation Journal, Vol. 14 (2008), Iss. 1, pp. 3-11
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Bibliografia
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