Yıl 2020, Cilt 8, Sayı 4, 342 - 347, 30.10.2020

Nihat PAMUK

https://doi.org/10.17694/bajece.768188

Öz

Numerical Method for Calculations of the Multi-Dielectric Fields Based on Flux Density in High Voltage Power Transformer Apparatus

Öz

This paper deals with a “combination method” in which the charge simulation method is combined with finite element method, for electric field calculation. The proposed method has the advantages of both charge simulation method and finite element method, while making up of their disadvantages. In the combination method, field is divided into two regions, one covered by the charge simulation method and the other by the finite element method. These two regions are combined using the continuous conditions for potentials and dielectric flux densities at the boundary. The new method could be applied to non-enclosed multi-dielectrics fields, space charge fields, fields with leakage current and so on. Examples of calculation have revealed that the method affords satisfactory calculation accuracy in application to high voltage power transformer apparatuses.

Anahtar Kelimeler

Finite element analysis,, Optimization,, Charge simulation method,, Electric field distribution,, Power transformer apparatus

Kaynakça

• [1] M.M. Abouelsaad, M.A. Abouelatta, A.E.R. Salama. "Genetic algorithm-optimized charge simulation method for electric field modelling of plate-type electrostatic separators." IET Science, Measurement & Technology, vol. 7. 1, 2013, pp 16-22.
• [2] K. Nishimura, K. Nishimori. "Arrangement of fictitious charges and contour points in charge simulation method for electrodes with 3D asymmetrical structure by immune algorithm." Journal of Electrostatics, vol. 63. 6-10, 2005, pp 743-748.
• [3] N.H. Malik. "A review of the charge simulation method and its applications." IEEE Transactions on Electrical Insulation, vol. 24. 1, 1989, pp 3-20.
• [4] X. Liu, Y. Cao, E. Wang. "Numerical simulation of electric field with open boundary using intelligent optimum charge simulation method." IEEE Transactions on Magnetics, vol. 42. 4, 2006, pp 1159-1162.
• [5] A. Ranković, M.S. Savić. "Generalized charge simulation method for the calculation of the electric field in high voltage substations." Electrical Engineering, vol. 92. 2, 2010, pp 69-77.
• [6] W. Krajewski. "Numerical modelling of the electric field in HV substations." IEE Proceedings-Science, Measurement and Technology, vol. 151. 4, 2004, pp 267-272.
• [7] S. Nikolovski, P. Maric, Z. Baus. "Electromagnetic field calculation of transformer station 400/110Kv Ernestinovo using the CDEGS software." Journal of Electrical Engineering-Bratislava, vol. 58. 4, 2007, pp 207-213.
• [8] T. Lu, H. Feng, Z. Zhao, X. Cui. "Analysis of the electric field and ion current density under ultra-high-voltage direct current transmission lines based on finite element method." IEEE Transactions on Magnetics, vol. 43. 4, 2007, pp 1221-1224.
• [9] D. Stefanini, J.M. Seifert, M. Clemens, D. Weida, "Three Dimensional FEM Electrical Field Calculations for EHV Composite Insulator Strings." IEEE International Power Modulator and High Voltage Conference, 23-27 May 2010. Atlanta, GA, USA, 2010.
• [10] C. Lu, Z. Yang, J. Bai, Y. Cao, X. He. "Three dimensional immersed finite element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump." International Journal for Numerical Methods in Engineering, vol. 121. 10, 2020, pp 2107-2127.
• [11] L.J. Gomez, M. Dannhauer, L.M. Koponen, A.V. Peterchev. "Conditions for numerically accurate TMS electric field simulation." Brain Stimulation, vol. 13. 1, 2020, pp 157-166.
• [12] A.T. Htet, G.B. Saturnino, E.H. Burnham, G.M. Noetscher, A. Nummenmaa, S.N. Makarov. "Comparative performance of the finite element method and the boundary element fast multipole method for problems mimicking transcranial magnetic stimulation (TMS)." Journal of Neural Engineering, vol. 16. 2, 2019, 024001.
• [13] Q. Tan, Q. Xu, L. Chen, Y. Huang. "A new method to improve internal electric field distributions of pockels OVS." IEEE Sensors Journal, vol. 17. 3, 2017, pp 4115-4121.
• [14] K.H. Lee, S.G. Hong, M.K. Baek, H.S. Choi, Y.S. Kim, I.H. Park. "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, vol. 51. 3, 2015, pp 1-4.
• [15] Y.N. Zhao, G.Q. Zhang, Z.Z. Guo, S. Cheng. "The mathematical model of electrical field distribution in optical voltage transformer." Procedia Engineering, vol. 29. 1, 2012, pp 2661-2666.
• [16] S.L. Ho, N. Chen, W.N. Fu. "A moving mesh embedded algorithm in finite element method for optimal design of electromagnetic devices." IEEE Transactions on Magnetics, vol. 47. 10, 2011, pp 2947-2950.