Low- and Mid-Frequency Modeling of Transformers

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Principles and Modeling of the Power Transformers

Part of the book series: Energy Systems in Electrical Engineering ((ESIEE))

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Abstract

The purpose of chapter five is to establish transformer models for investigating low- and mid-frequency transients, with a focus on addressing magnetic saturation effects, nonlinearities, and loss representation, which are critical concerns in these scenarios. The transformer's low- and mid-frequency models consist of two main components: the iron core and the windings. In Chap. 4, we have already presented the modeling of the iron core. Therefore, the objective of this chapter is to delve into the modeling of transformer windings and explore their integration with the iron core models to establish a comprehensive transformer model.

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References

  1. J.A. Martinez, B.A. Mork, Transformer modeling for low- and mid-frequency transients-a review. IEEE Trans. Power Del. 20(2 II), 1625–1632 (2005)

    Google Scholar 

  2. A. Rezaei-Zare, Enhanced transformer model for low- and mid-frequency transients—Part I: model development. IEEE Trans. Power Deliv. 30(1), 307–315 (2015)

    Google Scholar 

  3. A. Rezaei-Zare, Enhanced transformer model for low- and mid-frequency transients—Part II: validation and simulation results. IEEE Trans. Power Deliv. 30(1), 316–325 (2015)

    Google Scholar 

  4. V. Brandwajn, H.W. Dommel, I.I. Dommel, Matrix representation of three-phase n-winding transformers for steady-state and transient studies. IEEE Trans. Power App. Syst. PAS-101(6), 1369–1378 (1982)

    Google Scholar 

  5. M. Yang, R. Kazemi, S. Jazebi, D. Deswal, F. de León, Retrofitting the BCTRAN transformer model with nonlinear magnetizing branches for the accurate study of low-frequency deep saturating transients. IEEE Trans. Power Deliv. 33(5), 2344–2353 (2018)

    Google Scholar 

  6. G.R. Slemon, Equivalent circuits for transformers and machines including non-linear effects, in Proceedings of the Institution of Electrical Engineers IV, vol. 100 (1953), pp. 129–143

    Google Scholar 

  7. Nicola Chiesa, Power Transformer Modeling for Inrush Current Calculation. Ph.D. dissertation, Department of Electric Power Engineering, Norwegian University of Science and Technology, Norway (Jun 2010)

    Google Scholar 

  8. S. Jazebi et al., Duality derived transformer models for low-frequency electromagnetic transients—Part I: topological models. IEEE Trans. Power Deliv. 31(5), 2410–2419 (2016)

    Article  Google Scholar 

  9. S. Jazebi et al., Duality-derived transformer models for low-frequency electromagnetic transients—Part II: complementary modeling guidelines. IEEE Trans. Power Deliv. 31(5), 2420–2430 (2016)

    Google Scholar 

  10. J. Zhao et al., Topological transient models of three-phase, three-legged transformer. IEEE Access 7, 102519–102529 (2019)

    Google Scholar 

  11. S.R. Pordanjani, M. Naïdjate, N. Bracikowski, M. Fratila, J. Mahseredjian, A. Rezaei-Zare, Electromagnetic modeling of transformers in emt-type software by a circuit-based method. IEEE Trans. Power Deliv. 37(6), 5402–5413 (2022)

    Google Scholar 

  12. Q. Wu, S. Jazebi, F. de Leon, Parameter estimation of three-phase transformer models for low-frequency transient studies from terminal measurements. IEEE Trans. Magn. 53(7), 1–8 (2017)

    Article  Google Scholar 

  13. M. Lambert, M. Martínez-Duró, J. Mahseredjian, F. de León, F. Sirois, Transformer leakage flux models for electromagnetic transients: critical review and validation of a new model. IEEE Trans. Power Deliv. 29(5), 2180–2188 (2014)

    Article  Google Scholar 

  14. S. Jazebi, F. de León, Experimentally validated reversible single-phase multiwinding transformer model for the accurate calculation of low-frequency transients. IEEE Trans. Power Deliv. 30(1), 193–201 (2015)

    Article  Google Scholar 

  15. M. Lambert, F. Sirois, M. Martinez-Duro, J. Mahseredjian, Analytical calculation of leakage inductance for low-frequency transformer modeling. IEEE Trans. Power Deliv. 28(1), 507–515 (2013)

    Article  Google Scholar 

  16. F. de León, J.A. Martinez, Dual three-winding transformer equivalent circuit matching leakage measurements. IEEE Trans. Power Del. 24(1), 160–168 (2009)

    Google Scholar 

  17. A. Rezaei-Zare, Equivalent winding capacitance network for transformer transient analysis based on standard test data. IEEE Trans. Power Deliv. 32(4), 1899–1906 (2017)

    Google Scholar 

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Vahidi, B., Naghizadeh, R.A. (2023). Low- and Mid-Frequency Modeling of Transformers. In: Principles and Modeling of the Power Transformers. Energy Systems in Electrical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5796-5_5

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  • DOI: https://doi.org/10.1007/978-981-99-5796-5_5

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  • Publisher Name: Springer, Singapore

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