Finite difference method for electric field optimization in high voltage power transformer bushings using engineering simulation and 3D design program

Year 2021, , 1 - 7, 15.04.2021

Nihat Pamuk

https://doi.org/10.35860/iarej.765360

Abstract

The electric field optimization minimizing the field strength on an electrode surface and providing its uniformity is important in designing high voltage power transformer bushings and other apparatus from the viewpoint of efficient utilization of the electric field space. The high voltage power transformer bushing with cylinder electrode system has been designed and tested in this investigation. It was found that the insulation method of the cylinder electrode was the most important factor to lower streamer initiation voltage. The optimized design uses both internal and external elements for electric stress grading at critical parts of the bushing. Applying optimization theory based on charge simulation method, the author developed a computation program for electric field automatic optimization in 3D dielectric axisymmetric field. The results of the computation realized some excellent electrode profiles with uniform electric field distribution. Moreover, the discrepancy from the electric field uniformity on 3D dimensional profile caused by applying it to an axisymmetric electrode was discussed. Then a new electrode with uniform field distribution was obtained by using the computation program for optimization.

Keywords

Electric field distribution, Finite element analysis, Optimization, Power transformer bushing, 3D design

References

• 1. El-Makkawy, S.M. El-Dessouky, S.S., Analytical Aspects in the Presence of Polymeric Materials in Field Gaps of HV Insulation System, Proceedings of 8th International Symposium on Electrets (ISE 8), 06 August 2002, Paris, France, p. 905-910.
• 2. Weifang, J. Huiming, W. Kuffell, E., Application of the Modified Surface Charge Simulation Method for Solving Axialsymmetric Electrostatic Problems with Floating Electrodes, Proceedings of 4th International Conference on Properties and Applications of Dielectric Material, 1994, Brisbane, Qld, Australia, p. 28-30.
• 3. Abidaoun, H.S. Maather, A.I. Mohanad, H.A. Saad, Q.F., Estimation and Plot of Electrical Field Using Finite Difference Method, Second Engineering Scientific Conference College of Engineering, 16-17 December 2015, University of Diyala, p. 501-510.
• 4. Vahidi, B., Mohammadzadeh Fakhr Davood A., Application of charge simulation method to electric field calculation in the power cables. Iranian Journal of Science & Technology, Transaction B, Engineering, 2006. 30(B6): p 789-794.
• 5. Hu, R. Zhang, Z. Wang, S. Lu, Y. Liu, L. Zhu, S. Peng, Z., Electric Field Optimization of Cast Resin Dry-Type Transformer Under Lightning Impulse, IEEE Conference on Electrical Insulation and Dielectric Phenomena (CEIDP), 20-23 October 2019, Richland, USA, p. 556-559.
• 6. Biswanath, M., Electric field calculations by numerical techniques, Bachelor Thesis in Electrical Engineering 2009, National Institute of Technology Rourkela, India. p. 6-7.
• 7. Zhou, K., Ivanco, A., Filipi, Z., Hofmann, H., Finite element based computationally efficient scalable electric machine model suitable for electrified powertrain simulation and optimization. IEEE Transactions on Industry Applications, 2015. 51(6): p 4435-4445.
• 8. Lee, K.H., Hong, S.G., Baek, M.K., Choi, H.S., Kim, Y.S., Park, I.H., Alleviation of electric field intensity in high voltage system by topology and shape optimization of dielectric material using continuum design sensitivity and level set method. IEEE Transactions on Magnetics, 2015. 51(3): p. 1-4.
• 9. Huang, Y., Xu, Q., Tan, Q., Xie, N., Optimization of electric field distributions in OVS with hybrid algorithm. IEEE Sensors Journal, 2019. 19(21): p 9748-9754.
• 10. Hyouk Lee, K., Geon Hong, S., Ki Baek, M., Soon Choi, H., Sun Kim, Y., Han Park, I., Adaptive level set method for accurate boundary shape in optimization of electromagnetic systems. COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2014. 33(3): p. 809-820.
• 11. Du, B., Sun, H., Jiang, J., Kong, X., Yang, W., Temperature dependent electric field distribution in ± 800 kV valve-side bushing insulation for a converter transformer. High Voltage, 2020.
• 12. Subocz, J., Mrozik, A., Bohatyrewicz, P., Zenker, M., Condition assessment of HV bushings with solid inulation based on the SVM and the FDS methods. Energies, 2020. 13(4): 853, p. 1-13.
• 13. Li, Z., Yujiao, Z., Guanteng, X., Jiansheng, Y., Lan, J., Electrostatic field calculation and structure optimization of new shield ring of 1000 kV Nan-Jing loop transmission line. Transactions on Electrical and Electronic Materials, 2020. p. 1-8.
• 14. Al-Abadi, A. Gamil, A. Schatzl, F., Optimization of Magnetic Shunts Towards Efficient and Economical Power Transformers Design, Proceedings of the 21st International Symposium on High Voltage Engineering, 28 November 2019, ISH2019, p. 15-26.
• 15. Cao, Y., Liu, X., Wang, E., Jin, L., Wang, G., Electric field optimization design of a vacuum interrupter based on the tabu search algorithm. IEEE Transactions on Dielectrics and Electrical Insulation, 2002. 9(2): p 169-172.
• 16. Zhao, Y.N., Zhang, G.Q., Guo, Z.Z., Cheng, S., The mathematical model of electrical field distribution in optical voltage transformer. Procedia Engineering, 2012. 29(1): p.2661-2666.
• 17. Tan, Q., Xu, Q., Chen, L., Huang, Y., A new method to improve internal electric field distributions of pockels OVS. IEEE Sensors Journal, 2017. 17(13): p 4115-4121.
• 18. Wang, S., Kang, J., Shape optimization of BLDC motor using 3D finite element method. IEEE Transactions on Magnetics, 2000. 36(4): p. 1119-1123.
• 19. Okamoto, Y., Masuda, H., Kanda, Y., Hoshino, R., Wakao, S., Convergence acceleration of topology optimization based on constrained level set function using method of moving asymptotes in 3D nonlinear magnetic field system. IEEE Transactions on Magnetics, 2017. 53(6): p. 1-4.
• 20. Ho, S.L, Chen, N., Fu, W.N., A moving mesh embedded algorithm in finite element method for optimal design of electromagnetic devices. IEEE Transactions on Magnetics, 2011. 47(10): p. 2947-2950.