Vol.1_No.1

Öz

—Convergence of the Carson integral for heterogeneous (horizontally layered) ground is researched in the article. This integral determines earth’s contribution to the some parameters of double-wired aerial system, such as intensity of electrical field and mutual impedance and also to the magnetic vector potential of single aerial wire. Although there have been obtained several analytical expressions for the integral under consideration in the case of homogeneous ground and worked up some methods for it’s calculation in the case of heterogeneous (horizontally layered) ground possibility of obtaining analytical solutions of the Carson integral for heterogeneous ground in general have not been researched yet and just a solution in the terms of principal value were once got. Almost all the other solutions obtained were got indirectly and have an approximate character, such as power series and asymptotical formulae. In the base of very general consideration it was shown in the article that this integral does not exist in the terms of general value

Anahtar Kelimeler

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Kaynakça

1. Kılıc R., ―Design Principles of Visual Teaching Materials‖,Journal of Education, Number 136, 1997.
2. Usun S., ―The world and in Turkey, Computer-Aided Teaching‖, Ankara Pegem Publishing, 2000.
3. Yalın H.I., ―Teaching Technology and Material Development‖, Ankara Nobel Publication Distribution, 2000.
4. Demirel O., Seferoglu S.S., Yagcı E. ―Educational Technologies and Material Development‖, Ankara Pegem Publishing, 2001.
5. Ak M., Tuna M., Ergün Amaç A., ―Education Purpose Design Of User Interface For Single Phase Trigger Circuits‖, UMES'2007 symposium, Kocaeli University.
6. Uzunoglu M., ―Easy Lecture with Advanced Matlab‖, Istanbul Turkmen bookshop, 2002.
7. Trip N.D., Lungu S., Popescu V., ―Modelling of Switched Mode Fly- back Supply for Engineering Education‖, Advances in Electrical and Computer Engineering Volume 10, Number 1, 2010.
8. Bodur H., ―Power Electronics Applications I‖, Yildiz Technical University, Lecture Notes. Marchand P., Thomas Holland P., ―Graphics and GUIs with MATLAB‖, Third Edition, 2003.

9. Bogdanova, I., Khan, R., and Kunt, M., ―Graphical User Interface and MATLAB Web Server for Multimedia Teaching on www‖, Signal Processing Laboratory, Swiss Federal Institute of Technology (EPFL), CH-1015 Lausanne, Ecublens, Switzerland, 2001.
10. Patrick March and O. Thomas Holland; ―Graphics and GUIs with MATLAB®, 3rd Edition‖, 2002.
11. Postalcioglu Ozgen S., ―Graphical User Interface Aided Online Fault Diagnosis of Electric Motor – DC Motor Case Study‖, Advances in Electrical and Computer Engineering Volume 9, Number 3, 2009.
12. Koc S., Aydogmus Z., ―A Matlab/GUI Based Fault Simulation Tool For Power System Education‖, Mathematical and Computational Applications, Vol. 14, No. 3, pp. 207-217, 2009. www.mathworks.com
13. Muhlis AK was born in Sivas in 1982. He secondary education in Istanbul. He started to Maltepe Kucukyali Technical
14. High School and completed at first degree in 1999-2000 training period.
15. He graduated from the Department of Electrical Technical primary and Training Education at Kocaeli University in 2004 at first degree at the department and faculty. One year later he started to master of Science at
16. Kocaeli University Institute of Science. He started to work life at Elimsan Switchgear Equipments & Electromechanical Industry and Trade Inc which produces medium and high voltage electrical equipment, besides mastering education in 200 He completed mastering education in 2009. He is still going on to work at same company as a Research and Development Chief.
17. Murat Tuna was born in 1982 in
18. Bursa, Turkey. He was accepted into department the electrical teachers, faculty of technical education, Kocaeli University in 2000. Later, the Institute of Electrical Education in Science at the same university in 2005 continued his education at the master program.
19. From 2007 to 2009 master's degree worked at department research and development in the field of Medium and High Voltage Switchgear Elimsan
20. KOCAELI company. In 2008 completed his master studies.
21. Kirklareli University Technical Education Faculty since 2009 has been working as academics Electrical Training section. Mr. Tuna‘s current research interests are electric vehicles, fuzzy logic, neural networks, and automatic control.
22. Ayşe Ergün Amac (S‘97-M‘03) to corona from water drops‖IEEE Transactionson Power Delivery, (1999)1081-1089.
23. Gorus, R.;Cherney E.; Hackam R.: ―The AC and DC performance of polymeric insulating materials under accelerated aging in a fogchamber‖IEEE Transactions on Power Delivery, (1988) 1892-1902.
24. Meyer, L.;Jayaram S.; Cherney E.: ―Correlation of damage, dry band arcing energy, and temperature in inclined plane testing of silicone rubber for outdoor insulation‖IEEE Transactionson Dielectrics and Electrical Insulation, (2004) 424-432.
25. El-Hag, A. H.: ―Leakage current characterization for estimating the conditions of non-ceramic insulators' surfaces,‖ Electric Power Systems Research, Mar. (2007) 379-384.
26. Kumagai, S.;Yoshimura N.: ―Leakage current characterization for estimating the conditions of ceramic and polymeric insulating surfaces‖IEEE Transactions on Dielectrics and Electrical Insulation, (2004) 681-690.
27. Lopes, I.;Jayaram S.; Cherney E.: ―A method for detecting the transition from corona from water droplets to dry-band arcing on silicone rubber insulators‖ IEEE Transactions on Dielectrics and Electrical Insulation, (2002) 964-971.
28. Fernando, S. C.;Wong K. L.; Rowe W. S. T.: ―RF radiation from corona discharge between two water droplets on epoxy and silicone-rubber surfaces‖ Proceedings of Asia-Pacific Microwave Conference, , (2011) 1582-1585.
29. Sarathi, R.;Nagesh G.: ―UHF technique for identication of discharges initiated by liquid droplet in epoxy nano composite insulation material under ac voltages‖ Journal of Physics D:Applied Physics, Vol. 41, 155407, (2008).
30. Higashiyama, Y.;Yanase S.; Sugimoto T.: ―DC corona discharge from water droplets on a hydrophobic surface" Journalof Electrostatics, (2002) 351-360.
31. Imano, A.;Beroual A.: ―Study of the behavior of AC discharges of water drops on both conducting and dielectric solid surfaces‖ IEEE Transactions on Dielectrics and Electrical Insulation, (2010) 1569-1575.
32. Rowland, S. M.;Lin F. C.: ―Stability of alternating current discharges between water drops on insulation surfaces‖ Journalof Physics D: Applied Physics, (2006) 3067-3076.
33. Fernando, S. C.;Wong K. L.; Bojovschi A.; Rowe W. S. T.:―Detection of GHz frequency components of partial discharge in various media‖Proceedings of 16th International Symposiumon High Voltage Engineering (ISH 2009), Cape Town, South Africa, (2009)687-692.
34. El-Kishky, H.;Gorur R.: ―Electric field computation on an insulating surface with discrete water droplets‖IEEE Transactions on Dielectrics and Electrical Insulation, (1996) 450-456.
35. Guan, Z.;Wang L.; Yang B.; Liang X.; Li Z.: ―Electric field analysis of water drop corona‖ IEEE Transactions on Power Delivery, (2005)964- 9
36. Fujii, O.;Honsali K.;Mizuno Y.;Naito K.: ―A basic study on the effect of voltage stress on a water droplet on a silicone rubber surface‖ IEEE Transactions on Dielectrics and Electrical Insulation,(2009) 116-122.
37. Gao, H.;Jia Z.; Mao Y.; Guan Z.; Wang L.: ―Effect of hydrophobicity on electric field distribution and discharge salong various wetted hydrophobic surfaces‖ IEEE Transactionson Dielectrics and Electrical Insulation, (2008)435-443.
38. Zhu, Y.;Otsubo M.; Honda C.; Hashimoto Y.; Ohno A.:―Mechanism for change in leakage current waveform on a wet silicone rubber surface - A study using a dynamic 3-D model‖ IEEE Transactions on Dielectrics and Electrical Insulation, (2005)556-565.
39. Kim, S.;Cherney E.; Hackam R.: ―Effect of dryband arcing on the surface of RTV silicone rubber coatings‖ IEEE International Symposium on Electrical Insulation, (1992)237-240.
40. Qıu, Y.: ―Simple Expression of Field Nonuniformity Factor for Hemispherically Capped Rod-Plane Gaps‖ IEEE Trans. Elect. Insul. Vol. EI-21 No:4, 673 - 675. (1986).
41. Azer, A.A.;Comsa, A.P.:―Influence of Field Nonuniformity on the Breakdown Characteristic of SF6‖ IEEE Trans,EI.8., 136 - 142. (1973). Nagata,
42. M.;Yokoı, Y.; Mıyachı, I.: ―Electrical Breakdown Characteristics in High Temperature Gases‖ Elect.Eng. Japan, Vol.97, 1 - (1977).
43. HABAŞ.: ―Özel Gazlar -Argon Gazı ve diğerleri‖ Katalog, Bahriye Cad.No:199, Kasımpaşa, İstanbul (2002).
44. Haykin, S.: ―Neural Networks a Comprehensive Foundation‖, PrenticeHall, N. J., (1999).
45. Taner Dindar (Feb’87) received B.Sc. and M.Sc. degrees from Marmara University Department of Electrical Education in Istanbul, Turkey, in 2009 and 2012 respectively. He is currently working at Ankara University, Ankara,
46. Turkey. He worked as a lecturer in Arel University, Department of Electricity from 2011 to 2012 in Istanbul, Turkey. His research interest includes the high voltage systems, energy applications, and control systems.
47. N. Fusun Oyman Serteller received her B.Sc., M.Sc. degrees from the Istanbul Technical University (ITU), and Ph.D. degree from the Marmara University, Electrical Engineering Department, in 1988, 1993 and 2000 respectively.
48. Between 1990 and 1994, she worked at
49. Balikesir University. She is currently Associate professor of electrical and electronics engineering department at Marmara University. Him research interests are M.E. Tas¸gın, Phys. Rev. A 86, 033833 (2012).
50. J.D. Jackson, Classical Electrodynamics(Wiley, Newyork, 1998), 3rd ed., pp. 336, 348
51. M. Tanaka, M. Fujiwara, and Hideo Ikegami, Phys. Rev. A, 34, 4851 (1986)
52. J. Peatross, S.A. Glasgow, and M. Ware, Phys. Rev. Lett. 84 2370 (2000)
53. V. Kuzmiak and A.A. Maradudin, Phys. Rev. B 55, 7427 (1997).
54. M. Fleischhauer, C.H. Keitel, M.O. Scully, C. Su, B.T. Ulrich, and S.Y. Zhu, Phys. Rev. A 46, 1468 (1992).
55. M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997). Professor since 2009. 
56. J.Dukin is with the Electrical Engineering Department, Klaipeda University, Bijūnų 17, 91225, Klaipėda, Lithuania, (e-mail: [e-mail]). voltage. The evaluation of the overshoot and the test voltage from an output waveform is performed with the residual filtering method. Basically the evaluation of the high voltage impulse signals consists on the evaluation of the peak amplitude
57. Definitions and Test requirements”, Int. Electrotech. Comm., 1989.
58. L. Angrisani, P. Daponte, C. Dias, A. Vale, “Advanced Processing Techniques of High- Voltage Impulse Test Signals” IEEE Trans. on Instrumentation and Measurement, Vol. 47, No. 2, April 1998.
59. Standard Techniques for High Voltage Testing, IEEE Standard 4, 1995.
60. F. Garnacho et al., ”Evaluation Procedures for Lightning Impulse Parameters in case of Waveforms with Oscillations and/or Overshoot” IEEE Trans. On Power Delivery, vol. 12, no. 2, pp. 640 - 649, 1997.
61. F. Harris, “On the Use of Windows for the Harmonic Analysis with the Dicrete Fourier Transform” in Proceedings of the IEEE, Vol. 66, No.1, pp. 51-83, January 1978.
62. Z. Kara, J. Dikun, E. Onal, “Time-Frequency Analysis for Different Impulse Voltages” ISSD2013, 4th International Symposium on
63. Sustainable Development, Bosnai and Herzegovina, May 2013.
64. Y. Li and J. Rungis, “Evaluation of parameters of lightning impulses with overshoot,” 13th Int. Symp. High Voltage Engineering, Delft, The Netherlands, Aug. 25 29, 2003.
65. F. Gamacho et al., “Evaluation of lightning impulse voltages based on experimental results” Electra, no. 204, pp. 3 1 - 38, 2002
66. P. L. Lewin, T. N. Tran, D. J. Swaffield, J. K. Hällström “Zero-Phase Filtering for Lightning Impulse Evaluation: A k-factor Filter for the Revision of IEC60060-1 and -2” IEEE Trans. on Power Delivery, Vol. 23, No. 1, January 2008.
67. E. Onal, O. Kalenderli, S.Seker, “Multi-Resolution Wavelet Analysis for Chopped Impulse Voltage Measurements and Feature Extraction” IEEE Trans on Dielectrics and Insulations, July 2008.
68. J. Rungis and Y. Li, “Precision digital filters for high voltage impulse measurement systems,” IEEE Trans. Power Del., vol. 14, no. 4, pp. 1213–1220, Oct. 1999.
69. E. Gockenbach, K. Hackemack, P.Werle, “A contribution to the evaluation of lightning impulses with oscillations or overshoot near the peak’,, Intern. Symposium on High Voltage Engineering, Bangalore, paper no. 7-3, 2001.
70. O. Altay, O. Kalenderli, “Interference Removal on Impulse Voltage and Current Measurements with Wavelet Analysis,” 2012 International
71. Conference on High Voltage Engineering and Application, Shanghai, China, September, 17-20, 2012.
72. D. Custodio, A. Almeida do Vale, “High Performance Digital Processing of High Voltage Impulses based on Time-Frequency Analysis,” 10th Mediterranean Electrotechnical Conference Melecon, pp. 766-769, Vol. 2, 2000.
73. Emel Önal was born in Istanbul, Turkey. She