Influence of saturation levels on transformer equivalent circuit model

Wang, Yingying; Zhong, Xingyu; Chen, Xu

doi:10.2478/jee-2021-0054

Abstract

This paper presents a modelling approach for a transformer with different saturation levels. First, the magnetic field distributions at different saturation levels in the transformer are analyzed by using numerical simulations. Then, the characteristics of the leakage magnetic flux are analyzed, and the magnetic circuits with varying leakage reluctance topologies are modeled. Finally, based on the mature duality relationship between electric and magnetic circuits, the equivalent electric circuit models are obtained. These kinds of models embody the effect of different saturation levels on the connection points of the leakage flux branches, and it can fully reflect the various working states of the transformer. The accuracy of the models is verified by comparing the circuit simulation results with those of FEM transient simulations.

References

[1] F. Blume, A. Boyajian, G. Camilli, et al, Transformer engineering, 2 nd ed. New York, Wiley, 1951.
Search in Google Scholar Back to article
[2] E. P. Dick and W. Watson, “Transformer Models for Transient Studies Based on Field Measurement”, IEEE Transactions on Power Apparatus & Systems, vol. 100, no. 1, pp. 401-409, 1981.10.1109/TPAS.1981.316870
Search in Google Scholar Back to article
[3] X. Chen, “Negative Inductance and Numerical Instability of the Saturable Transformer Component in EMTP”, IEEE Transactions on Power Delivery, vol. 15, no. 4, pp. 1199-1204, 2000.
Search in Google Scholar Back to article
[4] S. Jazebi, S. E. Zirka, M. Lambert et al, “Duality Derived Transformer Models for Low-frequency Electromagnetic Transients Part I” Topological Models”, IEEE Transactions on Power Delivery,, vol. 31, no. 5, pp. 2410–2419, 2016.
Search in Google Scholar Back to article
[5] A. Martinez and B. A. Mork, “Transformer Modeling for Low-and Mid-frequency Transients-A review”, IEEE Transactions on Power Delivery, vol. 20, no. 2, pp. 1525–1632, 2005.
Search in Google Scholar Back to article
[6] Boyajian, “Resolution of Transformer Reactance: Into Primary and Secondary Reactances”, AIEE Transactions, vol. 44, no. 8, pp. 842–846, 1925.10.1109/JAIEE.1925.6535234
Search in Google Scholar Back to article
[7] X. Deng, E. Cheng, and W. Wang, “A Novel Transformer with Adjustable Leakage Inductance”, International Journal of Applied Electromagnetics and Mechanics, vol. 55, no. 1, pp. 29–43, 2017.10.3233/JAE-160110
Search in Google Scholar Back to article
[8] C. Park, H. Lee and B. Lee, “A Study on the Design Parameters of Inductive Power Transformers”, International Journal of Applied Electromagnetics and Mechanics, vol. 39, no. 1, pp. 809–815, 2012.10.3233/JAE-2012-1546
Search in Google Scholar Back to article
[9] A. Martinez-Velasco, R. Walling, B. A. Mork et al, “Parameter Determination for Modeling System Transients-part III: Transformers”, IEEE Transactions on Power Delivery, vol. 20, no. 3, pp. 2051–2062, 2005.
Search in Google Scholar Back to article
[10] F. de León, A. Farazmand, and P. Joseph, “Comparing the T and π Equivalent Circuits for the Calculation of Transformer Inrush Currents”, IEEE Transactions on Power Delivery, vol. 27, no. 4, pp. 2390–2397, 2012.
Search in Google Scholar Back to article
[11] E. Zirka, Y. I. Moroz, C. M. Arturi et al, “Topology-correct Reversible Transformer Model”, IEEE Transactions on Power Delivery, vol. 27, no. 4, pp. 2037–2045, 2012.
Search in Google Scholar Back to article
[12] A. Mork, F. de León, and D. Ishchenko, “Hybrid Transformer Model for Transient Simulation-Part I” Development and Parameters”, IEEE Transactions on Power Delivery, vol. 22, no. 1, pp. 248–255, 2007.10.1109/TPWRD.2006.883000
Search in Google Scholar Back to article
[13] S. Jazebi, J. A. Martinez, and F. de León, “Duality-derived Transformer Models for Low-frequency Electromagnetic Transients – Part II: Complementary Modeling Guidelines”, IEEE Transactions on Power Delivery, vol. 31, no. 5, pp. 2420–2429, 2016.
Search in Google Scholar Back to article
[14] R. Slemon, “Equivalent Circuits for Transformers and Machines Including Nonlinear Effects”, Proceedings of the IEE – Part IV: Institution Monographs, vol. 100, no. 5, pp. 129–143, 1953.10.1049/pi-4.1953.0015
Search in Google Scholar Back to article
[15] D. Miyagi, T. Yamazaki, D. Otome et al, “Development of Measurement System of Magnetic Properties at High Flux Density Using Novel Single-sheet Tester”, IEEE Transactions on Magnetics, vol. 45, no. 10, pp. 3889–3892, 2009.
Search in Google Scholar Back to article
[16] Y. Li, X. Geng, and C. Zhang, “Improved 3-D Magnetic Properties Measurement of Silicon Steel Laminations Based on a Novel Sensing Structure”, IEEE Transactions on Magnetics, vol. 53, no. 11, pp. 6101404, 2017.
Search in Google Scholar Back to article
[17] Y. Wang and J. Yuan, “Calculation Approach of Reluctance in the Magnetic Circuit of Transformer Employed to Convert into Equivalent Electric Circuit,” COMPEL, vol. 37, no. 6, pp. 1668–1677, 2018.
Search in Google Scholar Back to article

Influence of saturation levels on transformer equivalent circuit model

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