volume | PIER Journals

Abstract

This paper presents the results of Boundary Element Method (BEM) numerical procedures of voltages distribution between transmission lines in order to investigate the theoretical corona discharges. The algorithm of the voltage distributions are coded in Mathematica studying size of the system under controlling Neumann and Dirichlet boundary conditions. Conducting experimental work at a high voltage (HV) is potentially very dangerous. Therefore, simulation is a vital research approach, and computer modeling offers significant advantages to estimate optimal calculation over established system to prevent dangerous voltage and not to exceed the corona voltage. In this paper, the BEM results are verified with Finite Element Methods (FEM) which is coded in Mathematica too.

1. Kuffel, E. and M. Abdullah, High-voltage Engineering, 32-43, Pergamon Press, 1970.

2. Cristina, S. and A. D. Napoli, "Combination of finite element and boundary element for magnetic field analysis," IEEE Transaction on Magnetics, Vol. 9, 2337-2339, IEEE Magnetic Society, 2003. Google Scholar

3. Wrobel, L., The Boundary Element Method: Applications in Thermo-fluids & Acoustic, John Wiley and Sons, 2002.

4. Gary, G. G. and A. G. Michael, "Boundary element methods for solving Poisson equations in computer vision problems," IEEE Computer Society Conference on Computer Vision, 3-6, IEEE Computer Society, 1991. Google Scholar

5. Trowbridge, C. W., "Electromagnetic computation: The way ahead," IEEE Transaction on Magnetics, Vol. 24, 13-18, IEEE Magnetic Society, 1998.
doi:10.1109/20.43845 Google Scholar

6. Sadiku, M. N. O., Elements of Electromagnetic, Oxford University Press, England, 2001.

7. Serteller, N. F. and A. Atalay, "Thermal analysis of ferromagnetic actuator by using finite element method," Elsevier Pysica B Condensed Matter, Vol. 372, 366-368, Elsevier, 2006.
doi:10.1016/j.physb.2005.10.087 Google Scholar

8. Gipson, G. S., Boundary Element Fundamentals-Topics in Engineering, Computations Mechanics Publications, South Hampton, England, 1998.

9. Song, W. P., D. I. Yang, Y. H. Chung, and D. S. Kim, "A study of large current interrupting capability of SF/N2 mixtures," IEEE International Symposium on Electrical Insulation, 457-459, Boston, MA, USA, 2002. Google Scholar

10. Malik, N. H., A. A. Al-Aralny, and M. I. Qureshi, Electrical Insulation in Power Systems, Marcel Dekker Inc., 1998.

11. Buchau, A., W. Hafla, and W. W. Rucker, "Accuracy investigations of boundary element methods for solution of laplace equations," IEEE Transaction on Magnetics, Vol. 43, 1225-1228, 2007.
doi:10.1109/TMAG.2007.892304 Google Scholar

12. Tong, L. Z., F. X. Zgainski, J. C. Verite, and P. Thomas, "Investigation of gas phenomena in SF6 circuit breaker," IEEE High Voltage Engineering Symposium, 312-315, 1999. Google Scholar

13. Weillin, P., R. Gayllord, and S. Kamin, An Introduction to Programming with Mathematica, Cambridge University Press, England, 2005.
doi:10.1017/CBO9780511801303

14. Smith, I. M. and D. V. Griffths, Programming with the Finite Element Method, John Wiley and Son, England, 2004.

15. Kalenderli, O, C. Kocatepe, and O. Arikan, Cozumlu Problem-lerle Yuksek Gerilim Teknigi Kitab, Birsen Yaynevi, 2005.

16. Abdelmageed, A. K., "Effcient evaluation of modal Green's functions arising in EM scattering by bodies of revolution," Progress In Electromagnetics Research, Vol. 27, 337-356, 2000.
doi:10.2528/PIER99061601 Google Scholar

17. Dean, T. R. and T. V. Hromadka, "A collocation CVBEM using program mathematica," Engineering Analysis with Boundary Elements, Vol. 34, 417-421, Elsevier, 2009.
doi:10.1016/j.enganabound.2009.10.007 Google Scholar

18. Moroney, D. T. and P. J. Cullen, "The Green's function perturbation method for solution of electromagnetic scattering problems," Progress In Electromagnetics Research, Vol. 15, 221-252, 1997.
doi:10.2528/PIER96012900 Google Scholar

Dr. Necibe Fusun Oyman Serteller