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Calculation of Circuit Parameters of High Frequency Models for Power Transformers Using FEM

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5th International Colloquium on Transformer Research and Asset Management

Abstract

To study the transient interaction between the transformers and the power system is essential use very accurate transformer models considering the dependence of damping with frequency. In this work the fundamentals of transformer parameters calculation for high frequency transients using finite elements method (FEM) are reviewed and a promissory time-domain equivalent circuit is proposed based in the analysis of transient measurements results obtained by the CIGRE JWG A2/C4.52 in two transformers manufactured by WEG in Mexico.

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References

  1. CIGRE WG A2.37: Transformer reliability surveys. Technical Brochure 642, December 2015

    Google Scholar 

  2. CIGRE JWG A2/C4.39: Electrical transient interaction between transformers and the power system. Part 1—Expertise. Technical Brochure 577A, April 2014

    Google Scholar 

  3. CIGRE JWG A2/C4.39: Electrical transient interaction between transformers and the power system. Part 2—Case studies. Technical Brochure 577B, April 2014

    Google Scholar 

  4. McNutt WJ, Blalock TJ, Hinton RA (1974) Response of transformer windings to system transient voltages. IEEE Trans Power Appar Syst PAS-93(2):457–467

    Google Scholar 

  5. Margolis HB, Phelps JDM, Carlomagno AA, McElroy AJ (1975) Experience with part-winding resonance in EHV auto-transformers: diagnosis and corrective measures. IEEE Trans Power Appar Sys PAS-94(4), Pt.1:1294–1300

    Google Scholar 

  6. McElroy J (1975) On the significance of recent EHV transformer failures involving winding resonance. IEEE Trans Power Appar Syst PAS-94(4):1301–1307

    Google Scholar 

  7. Musil RJ, Preininger G, Schopper E, Wenger S (1981) Voltage stresses produced by aperiodic and oscillating system overvoltages in transformer windings. IEEE Trans Power Appar Sys Vol. PAS-100(1):431–441

    Google Scholar 

  8. Musil RJ, Preininger G, Schopper E, Wenger S (1982) The resonance effect of oscillating system overvoltages on transformer windings. IEEE Trans Power Appar Sys PAS-101(10):3703–3711

    Google Scholar 

  9. Degeneff RC, McNutt WJ, Neugebauer W, Panek J, McCallum ME, Honey C (1982) Transformer response to system switching voltages. IEEE Trans Power Appar Syst PAS-101(6):1457–1470

    Google Scholar 

  10. CIGRE WG 12.07: Resonance behaviour of high-voltage transformers. Paper presented in the name of Study Committee 12 (Transformers) by Working Group 12.07, CIGRE 1984 Session, Paper 12–14

    Google Scholar 

  11. Henriksen EE (1998) Study of very fast transients overvoltages in transformers (VFTO). CIGRE Working Group 12.11, ELECTRA Nº179, August 1998, pp 12–23

    Google Scholar 

  12. Electrical environment of transformers—impact of fast transients. Prepared by CIGRE JWG A2/A3/B3.21, ELECTRA Nº218, February 2005, pp 24–37

    Google Scholar 

  13. Fergestad PI (1972) Transient oscillations in transformer windings. Thesis, Oslo Universitetsforlaget

    Google Scholar 

  14. Fergestad PI, Henriksen T (1974) Transient oscillations in multiwinding transformers. IEEE Trans Power Appar Sys PAS-93(2):500–509

    Google Scholar 

  15. Abeywickrama N, Podoltsev A, Serdyuk Y, Gubanski S (2006) Influence of core characteristics on inductance calculations for modelling of power transformers. In: First international conference on industrial and information systems, ICIIS 2006, 8–11 August 2006, Sri Lanka

    Google Scholar 

  16. Mombello E, Zini H (2007) A novel linear equivalent circuit of a transformer winding considering the frequency-dependence of the impedances. Electric Power Syst Resea 77:885–895, ScienceDirect, Elsevier

    Google Scholar 

  17. Eslamian M, Vahidi B (2015) New equivalent circuit of transformer winding for the calculation of resonance transients considering frequency-dependent losses. IEEE Trans Power Delivery 30(4):1743–1751

    Article  Google Scholar 

  18. Gustavsen B, Portillo Á, Høidalen HK (2018) Modelling of transformers and reactors for electromagnetic transient studies. Paper A2-213, CIGRE Paris Biennale 2018

    Google Scholar 

  19. Gustavsen B, Portillo A, Ronchi R, Mjelve A (2017) Measurements for validation of manufacturer’s white-box transformer models. In: 4th international colloquium transformer research and asset management, May 10–12, 2017, Pula, Croatia. Procedia Eng 202, 2017, pp 240–250

    Google Scholar 

  20. CIGRE Technical Brochure JWG A2/C4.52: High-frequency transformer and reactor models for network studies—Part 1: White-Box Models (to be published)

    Google Scholar 

  21. Röhrl T (2017) Dämpfungsmodelle für Leistungstransformatoren. Masterarbeit, Ostbayerische Technische Hochschule Regensburg, Fakultät Elektro- und Informationstechnik, Februar 2017

    Google Scholar 

  22. Meeker DC (2019) Finite element method magnetics. FEMM 4.2, April 2019. http://www.femm.info

  23. Moreau O, Popiel L, Page JL (1998) Proximity losses computation with a 2D complex permeability modelling. IEEE Trans Magnet 34(5):3616–3619

    Article  Google Scholar 

  24. Moreau O, Michel R, Chevalier T, Meunier G, Joan M, Delcorix JB (2005) 3-D High Frequency Computation of Transformer R, L Parameters. IEEE Transactions on Magnetics 41(5):1364–1367

    Article  Google Scholar 

  25. Gustavsen B, Semlyen A (1999) Rational approximation of frequency domain responses by vector fitting. IEEE Trans Power Delivery 14(3):1052–1061

    Article  Google Scholar 

  26. Gustavsen B (2006) Improving the pole relocating properties of vector fitting. IEEE Trans Power Delivery 21(3):1587–1592

    Article  Google Scholar 

  27. Deschrijver D, Mrozowski M, Dhaene T, De Zutter D (2008) Macromodeling of multiport systems using a fast implementation of the vector fitting method. IEEE Microwave Wire Compon Lett 18(6):383–385

    Article  Google Scholar 

  28. Stoll RL (1974) The analysis of Eddy currents. Clarendon Press, Oxford

    Google Scholar 

  29. Abeywickrama N, Ekanayake C, Serdyuk Y, Gubanski S (2006) Effects of the insulation quality on the frequency response of power transformers. J Electri Eng Tech 1(4):534–542

    Article  Google Scholar 

  30. Bjerkan E (2005) High frequency modeling of power transformers. PhD thesis, Norwegian University of Science and Technology, Trondheim

    Google Scholar 

  31. Gustavsen B, Portillo Á (2018) A damping factor-based white-box transformer model for network studies. IEEE Trans Power Delivery 33(6):2956–2964

    Article  Google Scholar 

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Memorial and Acknowledgements

In first place we want to dedicate this work to Robert Degeneff, that passed away this year. Robert was pioneering in developing high-frequency transformer models and shared generously his knowledge and experience with us for more than thirty years. Secondly the authors would like to thank Bjorn Gustavsen, Enrique Mombello, Oliver Sterz, Tobias Röhrl and Anniyappan Palani for their support and many fruitful discussions on transformer modelling in the last years working together in the CIGRE JWG A2/C4.52.

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Correspondence to Álvaro Portillo .

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Portillo, Á., de Oliveira, L.F., Portillo, F. (2020). Calculation of Circuit Parameters of High Frequency Models for Power Transformers Using FEM. In: Trkulja, B., Štih, Ž., Janić, Ž. (eds) 5th International Colloquium on Transformer Research and Asset Management. Lecture Notes in Electrical Engineering, vol 671. Springer, Singapore. https://doi.org/10.1007/978-981-15-5600-5_14

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  • DOI: https://doi.org/10.1007/978-981-15-5600-5_14

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