ELECTROMAGNETIC VIBRATION ANALYSIS OF POWER TRANSFORMER WINDINGS: VERIFICATION OF STRUCTURAL MODELS BASED ON ANALYTICAL MODELING
DOI:
https://doi.org/10.62985/j.huit_ojs.vol26.no2E.397Keywords:
Power transformer, electromagnetic vibration, multiphysics simulation, analytical verificationAbstract
Excessive vibration in power transformers is a critical issue that compromises mechanical integrity, may result in insulation failure, and generates significant acoustic noise. Consequently, establishing a reliable method to quantify and predict these vibrations during the design phase is essential. This paper proposes a rigorous multiphysics simulation framework to analyze the vibration characteristics of a 40 MVA transformer winding. To validate the accuracy of the numerical approach, the study employs a systematic verification process based on analytical modeling. Initially, a fundamental beam model is utilized as a benchmark. The natural frequencies calculated via analytical solutions are compared with simulation results to confirm the correctness of mesh settings and boundary conditions. This agreement supports the assumption that the winding material behaves within the linear elastic region under harmonic excitations. Subsequently, the electromagnetic force distribution acting on the winding is computed using Finite Element Analysis. These forces are then applied to the verified structural model to determine the winding's natural frequencies and forced vibration response. The results demonstrate that verifying numerical models against analytical theory provides a robust foundation for assessing transformer vibration risks.
References
[1] S. V. Kulkarni and S. A. Khaparde, Transformer Engineering: Design, Technology, and Diagnostics, 2nd ed. Boca Raton, FL, USA: CRC Press, 2012. Available: https://electricalconnects.com/frontend/images/free_items/transformer-engineering-design-technology-and-diagnostics-2nd-edition-by-s-v-kulkarni-and-s-a-khaparde.pdf
[2] L. Ying, D. Wang, J. Wang, G. Wang, X. Wu, and J. Liu, “Power transformer spatial acoustic radiation characteristics analysis under multiple operating conditions,” Energies (Basel)., vol. 11, no. 1, Jan. 2018, doi: https://doi.org/10.3390/en11010074.
[3] N. Yu, B. An, Q. Yu, M. Xia, Y. Liu, and Q. Li, “Research on Vibration of Transformer Core Based on Finite Element Method,” in International Conference on Advanced Electrical Equipment and Reliable Operation, AEERO 2021, Institute of Electrical and Electronics Engineers Inc., 2021. doi: https://doi.org/10.1109/AEERO52475.2021.9708398.
[4] Z. Chen, Q. Zhou, G. Ding, X. W. Wu, J. Wu, and Y. Zhang, “Influence of Magnetic State Variation on Transformer Core Vibration Characteristics and Its Measurement,” IEEE Trans. Instrum. Meas., vol. 71, 2022, doi: https://doi.org/10.1109/TIM.2022.3186377.
[5] Do Chi Phi, Doan Thanh Bao, Phung Anh Tuan, Le Van Doanh, “A study of the effect of magnetostriction on the deformation of the steel core in amorphous transformers”, The University of Danang - Journal of Science and Technology, vol. 11, no. 96.2, Nov. 2015, pp. 130-135, https://jst-ud.vn/jst-ud/article/view/2859
[6] H. Jingzhu, L. Dichen, L. Qingfen, Y. Yang, and L. Shanshan, “Electromagnetic vibration noise analysis of transformer windings and core,” IET Electr. Power Appl., vol. 10, no. 4, pp. 251–257, Apr. 2016, doi: https://doi.org/10.1049/iet-epa.2015.0309.
[7] L. Naranpanawe and C. Ekanayake, Finite element modelling of a transformer winding for vibration analysis. Brisbane, QLD, Australia: 2016 Australasian Universities Power Engineering Conference (AUPEC), 2016, doi: https://doi.org/10.1109/AUPEC.2016.7749344.
[8] P. Witczak and M. Swiatkowski, “Transmission of Vibrations from Windings to Tank in High Power Transformers,” Energies (Basel)., vol. 16, no. 6, Mar. 2023, doi: https://doi.org/10.3390/en16062886.
[9] B. García, J. C. Burgos, and Á. M. Alonso, “Transformer tank vibration modeling as a method of detecting winding deformations - Part I: Theoretical foundation,” IEEE Transactions on Power Delivery, vol. 21, no. 1, pp. 157–163, Jan. 2006, doi: https://doi.org/10.1109/TPWRD.2005.852280.
[10] Z. Li et al., “Research on electromagnetic vibration and noise of transformer under short circuit conditions,” AIP Adv., vol. 15, no. 3, Mar. 2025, doi: https://doi.org/10.1063/5.0248074.
[11] L. He, Y. Zhu, G. Liu, and C. Cao, “Simulation analysis and experiment research of transformer vibration based on electric–magnetic–mechanic coupling,” Energies (Basel)., vol. 18, no. 9, May 2025, doi: https://doi.org/10.3390/en18092238.
[12] L. Hui, Z. Bin, C. Jiangbo, C. Chen, and W. Yang, “Simulation and Test on Vibration Characteristics of Power Transformer Windings,” in Proceedings of the 2015 International Symposium on Computers & Informatics (ISCI 2015), Atlantis Press, Jan. 2015, pp. 1259–1267. doi: https://doi.org/10.2991/isci-15.2015.167.
[13] D. Marcsa, “Noise and vibration analysis of a distribution transformer,” Przeglad Elektrotechniczny, vol. 95, no. 12, pp. 172–175, 2019, doi: https://doi.org/10.15199/48.2019.12.38.
[14] S. S. Rao, Mechanical vibrations. Prentice Hall, 2011. Available: https://archive.org/details/mechanicalvibrat0000raos_a3e9


