Abstract
Distribution transformers are one of the most crucial elements in the power system that define the grid stability and reliability. Due to the substandard analysis of losses and leakage reactance performed during the design stages, many transformer operational failures arise after a short operation. Precise and accurate estimation of distribution transformer losses as well as leakage reactance using analytical and numerical methods is essential during the design stages to estimate the transformer life span and improve the grid quality. This work provides robust and reliable guidelines for researchers and designers to precisely estimate the losses and leakage reactance in transformers. Finite element analysis is performed to test the transformer design validation and compare the analytical and numerical results. Various analytical methods for computing the transformer losses as well as leakage reactance rapidly in transformer early design stage are presented and compared with numerical methods to guide researchers and designers to the best methods to use.
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Belmans, R.; Declercq, J.; Keulenaer, H. De; Furuya, K.; Karmarkar, M.; Martinez, M.; McDermott, M.; Pinkiewicz, I.: The potential for global energy savings from high effciency distribution transformers. (2005)
Haghjoo, F.; Mostafaei, M.; Mohammadi, H.: A new leakage flux-based technique for turn-to-turn fault protection and faulty region identification in transformers. IEEE Trans. Power Deliv. 33, 671–679 (2018). https://doi.org/10.1109/TPWRD.2017.2688419
Özüpak, Y.; Mamiş, M.S.: Realization of electromagnetic flux and thermal analyses of transformers by finite element method. IEEJ Trans. Electr. Electron. Eng. 14, 1478–1484 (2019). https://doi.org/10.1002/tee.22966
Özüpak, Y.; Mamis, M.: Analysis of electromagnetic and loss effects of sub-harmonics on transformers by finite element method. Sādhanā. 45, 226 (2020). https://doi.org/10.1007/s12046-020-01473-4
Qiu, H.; Wang, S.; Sun, F.; Wang, Z.; Zhang, N.: Transient electromagnetic field analysis for the single-stage fast linear transformer driver with two different configurations using the finite-element method and finite integration technique. IEEE Trans. Magn. 56, 1–5 (2020). https://doi.org/10.1109/TMAG.2019.2956212
Gunawardana, M.; Fattal, F.; Kordi, B.: Very fast transient analysis of transformer winding using axial multiconductor transmission line theory and finite element method. IEEE Trans. Power Deliv. 34, 1948–1956 (2019). https://doi.org/10.1109/TPWRD.2019.2932669
Moghaddami, M.; Sarwat, A.I.; de Leon, F.: Reduction of stray loss in power transformers using horizontal magnetic wall shunts. IEEE Trans. Magn. 53, 1–7 (2017). https://doi.org/10.1109/TMAG.2016.2611479
Magdaleno-Adame, S.; Kefalas, T.D.; Fakhravar, A.; Olivares-Galvan, J.C.: Comparative study of grain oriented and non-oriented electrical steels in magnetic shunts of power transformers. In: 2018 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC). pp. 1-7. IEEE (2018)
Freitag, C.; Leibfried, T.: Mixed core design for power transformers to reduce core losses. In: 2017 International Conference on Optimization of Electrical and Electronic Equipment (OPTIM) & 2017 Intl Aegean Conference on Electrical Machines and Power Electronics (ACEMP). pp. 152-158. IEEE (2017)
Magdaleno-Adame, S.; Melgoza-Vazquez, E.; Olivares-Galvan, J.C.; Escarela-Perez, R.: Loss reduction by combining electrical steels in the core of power transformers. Int. Trans. Electr. Energy Syst. 26, 1737–1751 (2016). https://doi.org/10.1002/etep.2175
Mousavi, S.; Shamei, M.; Siadatan, A.; Nabizadeh, F.; Mirimani, S.H.: Calculation of power transformer losses by finite element method. In: 2018 IEEE Electrical Power and Energy Conference (EPEC). pp. 1-5. IEEE (2018)
Jain, S.A.; Pandya, A.A.: Three phase power transformer modeling using FEM for accurate prediction of core and winding loss. Kalpa Publ. Eng. 1, 75–80 (2017)
Chang, W.C.; Kuo, C.C.: A novel excitation approach for power transformer simulation based on finite element analysis. Appl. Sci. (2021). https://doi.org/10.3390/app112110334
Van den Bossche, A.; Valchev, V.C.: Inductors and transformers for power electronics. CRC Press, USA (2005)
Kulkarni, S.V.; Khaparde, S.A.: Transformer engineering: design, technology, and diagnostics. CRC Press, USA (2017)
Jiang, L.; Yan, H.; Meng, J.; Yin, Z.; Wei, W.; Wang, Y.: Analysis of eddy current effect and loss calculation of transformer winding based on finite element algorithm. In: 2017 International Conference on Computer Systems, Electronics and Control (ICCSEC). pp. 405-410. IEEE (2017)
Georgilakis, P.S.: Spotlight on modern transformer design. Springer, London (2009)
Wijayapala, W.D.A.S.; Gamage, S.R.K.; Bandara, H.M.S.L.G.: Determination of capitalization values for no load loss and load loss in distribution transformers. Eng. J. Inst. Eng. Sri Lanka 49, 11–20 (2016). https://doi.org/10.4038/engineer.v49i3.7072
Dawood, K.; Cinar, M.A.; Alboyaci, B.; Sonmez, O.: Calculation of the leakage reactance in distribution transformers via numerical and analytical methods. J. Electr. Syst. 15, 213–221 (2019)
Ali, W.H.; Sadiku, M.N.O.; Abood, S.I.: Fundamentals of electric machines: a primer with MATLAB. CRC Press, USA (2019)
Dawood, K.; Alboyaci, B.; Cinar, M.A.; Sonmez, O.: A new method for the calculation of leakage reactance in power transformers. J. Electr. Eng. Technol. 12, 1883–1890 (2017). https://doi.org/10.5370/JEET.2017.12.5.1883
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Al-Dori, O., Şakar, B. & Dönük, A. Comprehensive Analysis of Losses and Leakage Reactance of Distribution Transformers. Arab J Sci Eng 47, 14163–14171 (2022). https://doi.org/10.1007/s13369-022-06680-1
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DOI: https://doi.org/10.1007/s13369-022-06680-1