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Power Transformer Differential Protection Through Gradient of the Differential Current

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Abstract

This paper presents a new methodology for identifying internal faults and inrush currents in power transformers based on the gradient of the differential current. The technique is to calculate the angle of the gradient vector along the curve of the differential current in the data window and through waveforms recognition techniques to identify the type of occurrence. The gradient vector of a function corresponds to a vector tangent to the curve at the point under consideration. The gradient vector, to move along the curve of the differential current, changes its angle to the horizontal reference. The behavior of the gradient vector angle, through statistical calculations will be used to identify the occurrence of internal faults or the presence of inrush currents. The method was tested by simulating various types of internal and external faults and also several cases of inrush currents in a power transformer which is modeled by the EMTP/ATP software and also by implementing the algorithm in MATLAB\(^{\textregistered }\), presenting highly satisfactory results.

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References

  • Attenborough, M. (2003). Mathematics for electrical engineering and computing. Amsterdam: Newnes.

  • Barbosa, D. (2010). Sistema Híbrido Inteligente para o Monitoramente e Proteção de Transformadores de Potência. Tese de Doutorado, EESC, USP.

  • Barbosa, D., Coury, D. V., Netto, U. C., & Oleskovicz, M. (2011). Lógica Nebulosa Aplicada à Proteção Diferencial de Transformadores de Potência. SBA–Controle & Automação, 22(5), 467–478.

    Google Scholar 

  • Coury, D. V., Oleskovicz, M., & Giovanini, R., (2007). Proteção Digital de Sistemas Elétricos de Potência: dos Relés Eletromecânicos aos Microprocessados Inteligentes. São Carlos: EESC - USP.

  • Gu, J., Zheng, T., & Huang, S. F. (2010). A new algorithm based on the morphological gradient for avoiding maloperation of transformer differential protection. In IEEE Power and Energy Society general meeting, 25–29 July, 2010. Minneapolis, MN.

  • Harlow, J. H. (2004). Electric power transformer engineering. Boca Raton, FL: CRC Press LLC.

  • Hoffman, J. D. (2001). Numerical methods for engineers and scientists (2nd ed.). New York: Marcel Dekker, Inc.

    MATH  Google Scholar 

  • Hooshyar, A., Afsharnia, S., Sanaye-Pasand, M., & Ebrahimi, B. M. (2010). A new algorithm to identify magnetizing inrush conditions based on instantaneous frequency of differential power signal. IEEE Transactions on Power Delivery, 25(4), 2064–2072.

    Google Scholar 

  • Horowitz, S. H., & Phadke, A. G. (2008). Power system relaying (3rd ed.). Chichester: Wiley.

    Book  Google Scholar 

  • Hossam Eldin, A. A., & Refaey, M. A. (2011). A novel algorithm for discrimination between inrush current and internal faults in power transformer differential protection based on discrete wavelet transform. Electric Power Systems Research, 81(2011), 19–24.

    Article  Google Scholar 

  • IEEE Std \(\text{C}37.91^{{\rm TM}}\)-2008 (2008). IEEE guide for protecting power transformers. New York: IEEE.

  • Jin, E. S., Xia, G. W., Bo, W. Z. Q., & Hossenlopp, L. (2010). Study on the current differential protection of transformer based on the time difference method. In Proceedings of the international conference on modelling, identification and control, Okayama, Japan, 17–19 July, 2010.

  • Kasztenny, B., Rosolowski, E., & Lukowicz, M. (1999). Multi-objetive optimization of a neural network based differential relay for power tranformers. IEEE Transmission and Distribution Conference, 2, 476–481.

    Google Scholar 

  • Lu, Y. P., Lai, L. L., & Hua, L. D. (2005). New artificial neural network based magnetizing inrush detection in digital differential protection for large transformer. In Proceedings of fourth international conference on machine learning and cybernetics, Guangzhou, 18–21 August, 2005.

  • Lu, Z., Tang, W., Ji, T. Y., & Wu, Q. H. (2009). A morphological scheme for inrush identification in transformer protection. IEEE Transactions on Power Delivery, 24(2), 560–568.

    Google Scholar 

  • Mao, P. L., & Aggarwal, R. K. (2001). A new approach to the classification of the transient phenomena in power transformer using combined wavelet transform and neural networks. IEEE Transactions on Power Delivery, 16(4), 654–660.

    Google Scholar 

  • Megahed, A. I., Ramadan, A., & El-Mahdy, W. (2008). Power transformer differential relay using wavelet transform energies. In Power and Energy Society general meeting, 20–24 July 2008. Pittsburgh, PA.

  • Mortazavi, H., & Khorashadi-Zadeh, H. (2004). A new inrush restrain algorithm for transformer differential relays using wavelet transform. In 2004 International Conference on Power System Technology–POWERCON 2004, Singapore, 21–24 November 2004.

  • Nagpal, M., Sachdev, M. S., Ning, K., & Wedephol, L. M. (1995). Using a neural network for transformer protection. In Proceedings of EMPD 95, international conference on energy management and power delivery, 21–23 November 1995.

  • Nosseir, A., Attia, A. S., Tahoon, F., Osman, N. M. (2008). A fast and reliable transformer protection system based on the transformer magnetizing characteristics and artificial neural networks. In 12th international middle-east power system conference, MEPCON 2008, 12–15 March 2008. Aswan, Egypt.

  • Oliveira, M. O., & Bretas, A. S. (2009). Application of discrete wavelet transform for differential protection of power transformers. In IEEE Bucharest power tech conference, 28 June–02 July, 2009.

  • Oppenheim, A. V., & Willsky, A. S. (2010). Sinais e Sistemas (2nd ed.). Sao Paulo: Pearson Prentice Hall.

  • Patterson, R. W., McCannon, W. P., & Kobet, G. L. (2000). A consideration of inrush restraint methods in transformer differential relays. In 54th annual Georgia tech protective relaying conference, 3–5 May, 2000. Atlanta, GA.

  • Phadke, A. G., & Thorp, J. S. (2009). Computer relaying for power systems (2nd ed.). Chichester: Wiley.

  • Prikler, L., & Hoidalen, H. K. (2009). ATPDRAW version 5.6 for Windows 9x/NT/2000/XP/Vista—users’ manual, 2009. Trondheim: SINTEF Energy Research.

  • Rahmati, A., & Sanaye-Pasand, M. (2008). New method for discrimination of transformers internal faults from magnetizing inrush currents using wavelet transform. In Joint international conference on power system technology and IEEE power Indian conference, 12–15 October 2008. New Delhi.

  • Saleh, S. A., & Rahman, M. A. (2010). Testing of a wavelet-packet-transform-based differential protection for resistance-grounded three-phase transformers. IEEE Transactions on Industry Applications, 46(3), 1109–1117.

    Google Scholar 

  • Segatto, E. C., Coury, D. V., Tavares, M. C., & Campos P. E. G. (2003). Alto Desempenho na Proteção Diferencial de Transformadores de Potência com a Utilização de Redes Neurais Artificiais. SBA–Controle & Automação, 19(1), 93–106.

  • Segatto, E. C., & Coury, D. V. (2008). Redes Neurais Aplicadas a Relés Diferenciais para Transformadores de Potência. SBA–Controle & Automação, 14(3), 309–320.

  • Tripathy, M. (2009a). Neural network principal component analysis based power transformer differential protection. Third international conference on power systems, 27–29 December, 2009. Kharagpur, India.

  • Tripathy, M. (2009b). Optimal radial basis function neural network power transformer differential protection. IEEE Bucharest power tech conference, 28 June–2 July, 2009. Bucharest.

  • Tripathy, M., Maheshwari, R. P., & Verma, H. K. (2010). Power transformer differential protection based on optimal probabilistic neural network. IEEE Transactions on Power Delivery, 25(1), 102–112 .

    Google Scholar 

  • Wang, J., & Hamilton, R. (2008). Analysis of transformer inrush current and comparison of harmonic restraint methods in transformer protection. In 61st annual conference for protective relay engineers, 1–3 April, 2008. College Station, TX.

  • Wilkinson, W. A., & Cox, M. D. (1996). Discrete wavelet analysis of power system transients. IEEE Transactions on Power Systems, 11(4), 2038–2044.

    Google Scholar 

  • Wu, H., Guo, H., Fu, C. H., & Chen, C. Z., (2010). The magnetic inrush current and internal fault types recognition in transformer based on probabilistic neural network. In ICNC, IEEE Circuits and Systems Society: Sixth international conference on natural computation. 2010. Yantai.

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Correspondence to Raidson Jenner N. de Alencar.

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de Alencar, R.J.N., Bezerra, U.H. Power Transformer Differential Protection Through Gradient of the Differential Current. J Control Autom Electr Syst 24, 162–173 (2013). https://doi.org/10.1007/s40313-013-0021-6

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  • DOI: https://doi.org/10.1007/s40313-013-0021-6

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