Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators

The insulation system is the most important part in the high voltage applications to prevent the flow of leakage current to undesired path. Solid outdoor insulators are one of the basic elements in a power system such as in the transmission and distribution system. The outdoor insulator commonly exp...

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Main Author:	Abd Rahim, Noor Afiqah
Format:	Thesis
Language:	English English
Published:	2021
Subjects:	T Technology (General)
Online Access:	http://eprints.utem.edu.my/id/eprint/25396/1/Modelling%20Of%20Leakage%20Current%20On%20Conductive%20Surface%20For%20Outdoor%20Insulators.pdf http://eprints.utem.edu.my/id/eprint/25396/2/Modelling%20Of%20Leakage%20Current%20On%20Conductive%20Surface%20For%20Outdoor%20Insulators.pdf
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institution	Universiti Teknikal Malaysia Melaka
collection	UTeM Repository
language	English English
topic	T Technology (General) T Technology (General)
spellingShingle	T Technology (General) T Technology (General) Abd Rahim, Noor Afiqah Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators
description	The insulation system is the most important part in the high voltage applications to prevent the flow of leakage current to undesired path. Solid outdoor insulators are one of the basic elements in a power system such as in the transmission and distribution system. The outdoor insulator commonly exposed to environmental pollution. The presence of water like raindrops and dew on the contaminant surface can lead to the insulator surface degradation. The contaminant particles may be dissolved into water. Thus, this condition can caused the formation of the conductive path that can lead to the flow of the current due to the surface discharge event. However, the physical process of this phenomenon is not well understood. In order to understand the propagation of the surface discharge on the insulator, the mechanism for the charge carrier generation and transportation must be known. Hence, in this study, the mathematical model of leakage current on the outdoor insulator surface using the Nernst Planck theory that accounts for the charge transport between the electrodes (negative and positive electrode) and charge generation mechanism is developed. Meanwhile, the electric field obeys Poisson’s equation. In this model, one-dimensional (1-D) model is studied. The charge continuity equations and Poisson’s equation solved using a non-dimensional framework to reduce the difficulty while doing the simulation. Then, this model is solved numerically using the method of lines (MOL) technique which converts the partial differential equations (PDEs) into a set of ordinary differential equations (ODEs). The ODEs then solved using an appropriate time integration method ‘ode15s’ in MATLAB. In order to validate the simulation result, experimental work is done according to inclined plane test (IPT) complying with BS EN 60587-2007. Then, the result from both simulation and experimental work is compared for the validation of this model. The findings from the simulation shows that the density of net space charge distribution gives the good correlation to the electric field. Besides, the conduction current also varies depending on the electric field distribution and charge concentration. In addition, The simulation result appears to have good correlation with the experimental result in terms of leakage current rising. Hence, from the simulation, it can, be seen that this mathematical model can be used in order to investigate the leakage current on the outdoor insulator due to the presence of surface discharge. In addition, the permittivity gives the effect to the number of charge produced on the outdoor insulator due to the present of wet contaminant. Thus, the charge will produce more flux in a medium with a lower permittivity than a medium with high permittivity.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Abd Rahim, Noor Afiqah
author_facet	Abd Rahim, Noor Afiqah
author_sort	Abd Rahim, Noor Afiqah
title	Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators
title_short	Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators
title_full	Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators
title_fullStr	Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators
title_full_unstemmed	Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators
title_sort	modelling of leakage current on conductive surface for outdoor insulators
granting_institution	Universiti Teknikal Malaysia Melaka
granting_department	Faculty of Electrical Enginering
publishDate	2021
url	http://eprints.utem.edu.my/id/eprint/25396/1/Modelling%20Of%20Leakage%20Current%20On%20Conductive%20Surface%20For%20Outdoor%20Insulators.pdf http://eprints.utem.edu.my/id/eprint/25396/2/Modelling%20Of%20Leakage%20Current%20On%20Conductive%20Surface%20For%20Outdoor%20Insulators.pdf
_version_	1747834117769134080
spelling	my-utem-ep.253962021-11-17T09:09:34Z Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators 2021 Abd Rahim, Noor Afiqah T Technology (General) TK Electrical engineering. Electronics Nuclear engineering The insulation system is the most important part in the high voltage applications to prevent the flow of leakage current to undesired path. Solid outdoor insulators are one of the basic elements in a power system such as in the transmission and distribution system. The outdoor insulator commonly exposed to environmental pollution. The presence of water like raindrops and dew on the contaminant surface can lead to the insulator surface degradation. The contaminant particles may be dissolved into water. Thus, this condition can caused the formation of the conductive path that can lead to the flow of the current due to the surface discharge event. However, the physical process of this phenomenon is not well understood. In order to understand the propagation of the surface discharge on the insulator, the mechanism for the charge carrier generation and transportation must be known. Hence, in this study, the mathematical model of leakage current on the outdoor insulator surface using the Nernst Planck theory that accounts for the charge transport between the electrodes (negative and positive electrode) and charge generation mechanism is developed. Meanwhile, the electric field obeys Poisson’s equation. In this model, one-dimensional (1-D) model is studied. The charge continuity equations and Poisson’s equation solved using a non-dimensional framework to reduce the difficulty while doing the simulation. Then, this model is solved numerically using the method of lines (MOL) technique which converts the partial differential equations (PDEs) into a set of ordinary differential equations (ODEs). The ODEs then solved using an appropriate time integration method ‘ode15s’ in MATLAB. In order to validate the simulation result, experimental work is done according to inclined plane test (IPT) complying with BS EN 60587-2007. Then, the result from both simulation and experimental work is compared for the validation of this model. The findings from the simulation shows that the density of net space charge distribution gives the good correlation to the electric field. Besides, the conduction current also varies depending on the electric field distribution and charge concentration. In addition, The simulation result appears to have good correlation with the experimental result in terms of leakage current rising. Hence, from the simulation, it can, be seen that this mathematical model can be used in order to investigate the leakage current on the outdoor insulator due to the presence of surface discharge. In addition, the permittivity gives the effect to the number of charge produced on the outdoor insulator due to the present of wet contaminant. Thus, the charge will produce more flux in a medium with a lower permittivity than a medium with high permittivity. 2021 Thesis http://eprints.utem.edu.my/id/eprint/25396/ http://eprints.utem.edu.my/id/eprint/25396/1/Modelling%20Of%20Leakage%20Current%20On%20Conductive%20Surface%20For%20Outdoor%20Insulators.pdf text en staffonly http://eprints.utem.edu.my/id/eprint/25396/2/Modelling%20Of%20Leakage%20Current%20On%20Conductive%20Surface%20For%20Outdoor%20Insulators.pdf text en public https://plh.utem.edu.my/cgi-bin/koha/opac-detail.pl?biblionumber=119687 mphil masters Universiti Teknikal Malaysia Melaka Faculty of Electrical Enginering 1. Abd-Rahman, R., Haddad, A., Harid, N., and Griffiths, H., 2012a. Stress Control on Polymeric Outdoor Insulators Using Zinc Oxide Microvaristor Composites. IEEE Transactions on Dielectrics and Electrical Insulation, 19 (2), pp.705–713. 2. Abd-Rahman, R., Haddad, A., Harid, N., and Griffiths, H., 2012b. Stress control on polymeric outdoor insulators using Zinc oxide microvaristor composites. IEEE Transactions on Dielectric and Electrical Insulation, 19 (2), pp.705–713. 3. Abdullah, A.R.; Norddin, N.; Abidin, N.Q.Z.; Aman, A.; Jopri, M.H., 2012. Leakage current analysis on polymeric and non-polymeric insulating materials using time-frequency distribution In: IEEE International Conference on Power and Energy (PECon). pp.2–5. 4. Ahmed, A., Singer, H., and Mukherjee, P.K., 1998. Numerical Model Using Surface Charges for the Calculation of Electric Fields and Leakage Currents on Polluted Insulator Surfaces. In:Annual Report Conference on Electrical Insulation and Dielectric Phenomena. pp.116–119. 5. Alston, L.L. and Zoledziowski, S., 1963. Growth of discharges on polluted insulation. Proceedings of the Institution of Electrical Engineers, 110 (7), pp.1260. 6. Aman, A., 2013. New Leakage Current Parameters for Newly Developed Polymeric Composite Optimized by Response Surface Methodology. PhD Thesis. Universiti Teknologi Malaysia. 7. Amin, M., Akbar, M., and Amin, S., 2007. Hydrophobicity of Silicone Rubber Used for Outdoor Insulation (An Overview). Rev.Adv.Mater.Sci, 16, pp.10–26. 8. Amin, M., Amin, S., and Ali, M., 2009. Monitoring of leakage current for composite insulators and electrical devices. Reviews on Advanced Materials Science, 21 (1), pp.75–89. 9. Atrazhev, V.M., Dmitriev, E.G., and Iakubov, I.T., 1991. The impact ionization and electrical breakdown strength for atomic and molecular liquids. IEEE Transactions on Electrical Insulation, 26 (4), pp.586–591. 10. Basappa, P., Lakdawala, V., Sarang, B., and Mishra, A., 2008. Simulation of Electric Field distribution around water droplets on outdoor insulator surfaces. In: Conference Record of the 2008 IEEE International Symposium on Electrical Insulation. pp.50–54. 11. Becerra, M. and Frid, H., 2013. On the Modeling of the Production and Drift of Carriers in Cyclohexane. Annual Report Conference on Electrical Insulation and Dielectric Phenomena, pp.905–908. 12. Belkheiri, M., Zegnini, B., and Mahi, D., 2009. Modeling the Critical Flashover Voltage of High Voltage Insulators Using Artificial Intelligence. Journal of Intelligent Computing and Applications, 2 (2), pp.137–154. 13. Bernstorf, R.A., Niedermier, R.K., and Winkler, D.S., 2000. Polymer Compounds Used In High Voltage Insulators. Hubbell Power Systems The Ohio Brass Company. 14. Bhana, D.K. and Swift, D.A., 1994. An Investigation into the Temporary Loss of Hydrophobicity of Some Polymeric Insulators and Coatings. In: Roceedings of the 4th International Conference on Properties and Applications of Dielectric Materilas. pp.294–297. 15. Blackmore, P. and Birtwhistle, D., 1997. Surface discharges on polymeric insulator shed surfaces. IEEE Transactions on Dielectrics and Electrical Insulation, 4 (2), pp.210–217. 16. Bonfil, C., 2014. The Drift Diffusion Simulation of Coupled Ionic-Electronic Devices. PhD Thesis . Carleton University. 17. Boxue Due, 2017. Accelerating the Discovery of New Dielectric Properties in Polymer Insulation. Tianjin University, China: IGI Global. 18. Bruce, G.P., Rowland, S.M., and Krivda, A., 2008. DC inclined-plane testing of silicone rubber formulations. In: Annual Report - Conference on Electrical Insulation and Dielectric Phenomena, CEIDP. pp.196–199. 19. Bruce, G.P., Rowland, S.M., and Krivda, A., 2010. Performance of silicone rubber in DC 20. inclined plane tracking tests. IEEE Transactions on Dielectrics and Electrical Insulation, 17 (2), pp.521–532. 21. Burger, M., Schlake, B., and Wolfram, M., 2012. Nonlinear Poisson-Nernst Planck Equations for Ion. Nonlinearity, 25 (4), pp.961–991. 22. Castellanos, A. and Pontiga, F., 1995. Generalised Thomson-Onsager model for charge injection into dielectric liquids. Proceedings of 1995 Conference on Electrical Insulation and Dielectric Phenomena, (4), pp.616–620. 23. Chandler, D., 1994. Excess Electrons in Liquids: Geometrical Perspectives. Annual Review of Physical Chemistry, 45 (1), pp.557–591. 24. Chang, J., Kelly, A.J., and Crowley, J.M., 1995. Handbook of Electrostatic Processes. 1st ed. United State of America: CRC Press. 25. Chapra, S.C. and Canale, R.P., 2015. Numerical methods for engineers. Mathematics and 26. Computers in Simulation. 27. Chen, G., 2009. Anomalous phenomena in solid dielectrics under high electric fields. 28. Proceedings of the IEEE International Conference on Properties and Applications of Dielectric Materials, pp.954–960. 29. Cherney, E., Gorur, R., Krivda, A., Jayaram, S., Rowland, S., Li, S., Marzinotto, M., Ghunem, R., and Ramirez, I., 2015. DC inclined-plane tracking and erosion test of insulating materials.IEEE Transactions on Dielectrics and Electrical Insulation, 22 (1), pp.211–217. 30. Chvyreva, A. and Pemen, A.J.M., 2014. Experimental Investigation of Electron Emission from Dielectric Surfaces Due to Primary Electron Beam : A Review. IEEE Transactions on Dielectrics and Electrical Insulation, 21 (5), pp.2274–2282. 31. Davari, N., Åstrand, P.O., Unge, M., Lundgaard, L.E., and Linhjell, D., 2014. Field-dependent molecular ionization and excitation energies: Implications for electrically insulating liquids. AIP Advances, 4 (3), pp.0–13. 32. Debono, F., 2014. Mathematical Modelling of Lithium Ion Batteries, (October). 33. Dixon, K.R., 2016. Modeling and Simulation in Ecotoxicology with Applications in MATLAB and Simulink. London: CRC PRess. 34. Douar, M.A., Mekhaldi, A., and Bouzidi, M.C., 2010. Flashover Process and Frequaency Analysis of the Leakage Current on Insulator Model under non-Uniform Pollution Conditions. IEEE Transactions on Dielectrics and Electrical Insulation, 17, pp.1284–1297. 35. El-Hag, A.H., 2007. Leakage current characterization for estimating the conditions of nonceramic insulators’ surfaces. Electric Power Systems Research, 77 (3–4), pp.379–384. 36. El-Kishky, H. and Gorur, R.S., 2014. Electric Field Computation on an Insulating Surface with Discrete Water Droplets. IEEE Transactions on Dielectrics and Electrical Insulation, 3 (3), pp.65–69. 37. Fang, Z., Qiu, Y., and Kuffel, E., 2004. Formation of hydrophobic coating on glass surface using atmospheric pressure non-thermal plasma in ambient air. Journal of Physics D: Applied Physics, 37 (16), pp.2261. 38. Farzaneh, M. and Zhang, J., 2000. Modelling of the AC arc discharge on ice surfaces. IEE Proceedings - Generation, Transmission and Distribution, 147 (2), pp.81–86. 39. Fernando, M.A.R.M. and Gubanski, S.M., 1999a. Leakage currents on non-ceramic insulators and materials. IEEE Transactions on Dielectrics and Electrical Insulation, 6 (5), pp.660–667. 40. Fernando, M.A.R.M. and Gubanski, S.M., 1999b. Leakage current patterns on contaminated polymeric surfaces. IEEE Transactions on Dielectrics and Electrical Insulation, 6 (5), pp.688–694. 41. Fernando, M.A.R.M., Lambrecht, J., and Gubanski, S.M., 1998. Modelling non-linear leakage currents on artificially polluted polymeric surfaces. In: Electrical Insulation and Dielectric Phenomena, Annual Report. Conference. pp.52–55. 42. Flavell, A., Machen, M., Eisenberg, B., Kabre, J., Liu, C., and Li, X., 2013. A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations. Journal of Computational Electronics, 15 (61), pp.1–22. 43. Gäfvert, U., Hjortstam, O., Serdyuk, Y., Törnkvist, C., and Walfridsson, L., 2006. Modeling and Measurements of Electric Fields in Composite Oil / Cellulose Insulation. In: Annual Report Conference on Electrical Insulation and Dielectric Phenomena. pp.154–157. 44. Ghunem, R.A., Jayaram, S.H., and Cherney, E.A., 2013. Erosion of silicone rubber composites in the AC and DC inclined plane tests. IEEE Transactions on Dielectrics and Electrical Insulation, 20 (1), pp.229–236. 45. Glushkov, D.A., Khalyasmaa, A.I., Dmitriev, S.A., Nikonov, I.P., and Zinoviev, K.A., 2014.Polymeric Insulation: Advantages and Disadvantages. Advanced Materials Research, 1008–1009, pp.615–619. 46. Gross, B., 1978. Charge Storage and Transport in Solid Dielectrics (The Case of Irradiated Polymers). Conference on Electrical Insulation & Dielectric Phenomena - Annual Report, pp.55–70. 47. H. Zainuddin, 2013. Study of Surface Discharge Behaviour at the Oil-Pressboard Interface. PhD Thesis. University of Southampton. 48. H. Zainuddin and P.L. Lewin, 2015. Modeling of Degradation Mechanism at the Oil-Pressboard Interface due to Surface Discharge. In: COMSOL Confference. pp.1–22. 49. Haidara, M. and Denat, A., 1991. Electron multiplication in liquid cyclohexane and propane: An estimation of the ionization coefficcient. IEEE Transactions on Electrical Insulation, 26 (4),pp.592–597. 50. Hamdi, S., Schiesser, W.E., and Griffiths, G.W., 2009. Method of lines. Scholarpedia, 2 (7),pp.1–11. 51. Hampton, B.F., 1964. Flashover mechanism of polluted insulation. Proceedings of Electronics and Powe Conference, 111 (4), pp.985–990. 52. Heger, G., Vermeulen, H.J., Holtzhausen, J.P., and Vosloo, W.L., 2010. A comparative study of insulator materials exposed to high voltage AC and DC surface discharges. IEEE Transactionson Dielectrics and Electrical Insulation, 17 (2), pp.513–520. 53. Hwang, J.-W.G., 2010. Elucidating the mechanisms behind pre-breakdown phenomena intransformer oil systems. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010. Massachusetts Institute of Technology. 54. Hwang, J.G., Zahn, M., and Pettersson, L.A.A., 2012. Mechanisms behind positive streamers and their distinct propagation modes in transformer oil. IEEE Transactions on Dielectrics and Electrical Insulation, 19 (1), pp.162–174. IEC 60587:2007, 2007. Electrical insulating materials used under severe ambient conditions —Test methods for evaluating resistance to tracking and erosion. 55. Jasielec, J.J., Filipek, R., Szyszkiewicz, K., Fausek, J., Danielewski, M., and Lewenstam, A.,2012. Computer simulations of electrodiffusion problems based on Nernst-Planck and Poisson equations. Computational Materials Science, 63 (OCTOBER 2012), pp.75–90. 56. Jayasundara, H.I.S., Sudarshani, W.P.S., and Fernando, M. a. R.M., 2008. Leakage Current Patterns on High Voltage Insulators: Analysis on Frequency and Time-frequency Domains. In:2008 IEEE Region 10 and the Third international Conference on Industrial and Information Systems. 57. Joshi, R.P. and Thagard, S.M., 2013. Streamer-like electrical discharges in water: Part I. fundamental mechanisms. Plasma Chemistry and Plasma Processing, 33 (1), pp.1–15. 58. Kao, K.C., 1976. Theory of High-Field Electric Conduction and Breakdown in Dielectric Liquids. IEEE Transactions on Electrical Insulation, EI-11 (4), pp.121–128. 59. Karakoulidis, K., Danikas, M.G., and Rakitzis, P., 2005. Deterioration phenomena on polymeric insulating surfaces due to water droplets. Journal of Electrical Engineering, 56 (7–8), pp.169–175. 60. Kato, K., Kaneko, S., Okabe, S., and Okubo, H., 2007. Numerical calculation model for electric field distribution in gas/solid composite insulation system under dc voltage application. In: International Smposium on Eco Topia Science, ISET07. pp.514–515. 61. Knauel, J., Wagner, A., and Puffer, R., 2014. Behavior of water droplets on polymeric insulation surfaces under hybrid field stress. In: Conference on Electrical Insulation and Dielectric Phenomena, CEIDP. pp.243–246. 62. Krzma, A.S., Albano, M., and Haddad, A., 2015. Comparative performance of 11kV silicone rubber insulators using artificial pollution tests. Proceedings of the Universities Power Engineering Conference, 2015–Novem. 63. Kumara, S., Serdyuk, Y., and Gubanski, S., 2010. Simulation of surface charge effect on impulse flashover characteristics of outdoor polymeric insulators. IEEE Transactions on Dielectrics and Electrical Insulation, 17 (6), pp.1754–1763. 64. Kuntman, A. and Ersoy, A., 2007. 3D Model of Artificial Surface Degradation Test Using Finite Element Model. The Online Journal on Power and Energy Engineering (OJPEE), (1), pp.7–10. 65. Laughton, A.M. and Warne, D.F., 2002. Electrical Engineer’s Reference Book. 16th ed. Britain: Elsivier Science. 66. Lee, H., Kang, I.M., Jung, J., and Lee, S., 2016. Fully Coupled Finite Element Analysis for Surface Discharge on Solid Insulation in Dielectric Liquid with Experimental Validation, 52 (9), pp.4–5. 67. Lee, S.H. and Rasaiah, J.C., 2011. Proton transfer and the mobilities of the H + and OH – ions from studies, 124505, pp.1–10. 68. Li, Y., Yang, H., Zhang, Q., Yang, X., Yu, X., and Zhou, J., 2014. Pollution flashover calculation model based on characteristics of AC partial arc on top and bottom wet-polluted dielectric surfaces. IEEE Transactions on Dielectrics and Electrical Insulation, 21 (4), pp.1735–1746. 69. Lide, D.R., 2004. CRC Handbook of Chemistry and Physics. 84th ed. Journal of the American Chemical Society. CRC Press LLC. 70. Liu, Y., Xia, B., Du, B., and Farzaneh, M., 2016. Influence of Fine Metal Particles on Surface Discharge Characteristics of Outdoor Insulators. Energies, 9 (2), pp.87. 71. M. S. Naidu, V.K., 2009. Applications of Insulating Materials, High Voltage Engineering. In: Tata McGraw Hill Education Private Limited. Tata Mc Graw-hill, pp.129. 72. Mavrikakis, N., Siderakis, K., Koudoumas, E., Drakakis, E., and Kymakis, E., 2016. Laboratory Investigation of the Hydrophobicity Transfer Mechanism on Composite Insulators Aged in Coastal Service. Engineering, Technology & Applied Science Research, 6 (5), pp.1124–1129. 73. Meek, J.M. and Graggs, J.D., 1953. Electrical Breakdown of Gases. The International Series of Monographs on Physics. London. 74. Mitchinson, P.M., Lewin, P.L., Strawbridge, B.D., and Jarman, P., 2010. Tracking and surface discharge at the oil-pressboard interface. IEEE Electrical Insulation Magazine, 26 (2), pp.35– 41. 75. Moreno, V.M. and Gorur, R.S., 1999. Ac and dc performance of polymeric housing materials for HV outdoor insulators. IEEE Transactions on Dielectrics and Electrical Insulation, 6 (3),pp.342–350. 76. Mozumder, A. and Hatano, Y., 2003. Charged Particle and Photon Interactions with Matter:Chemical, Physicochemical, and Biological Consequences with Applications. New York: MarcelDekker, Inc. 77. Muhamedin, F.L., M. Piah, M.A., Othman, N.A., and Ahmed Algeelani, N., 2016. Effect of Contaminant Flow-rate and Applied Voltage on the Current Density and Electric Field of Polymer Tracking Test. International Journal of Electrical and Computer Engineering (IJECE),6 (2), pp.819. 78. Muhamedin, F.L., Piah, M.A.M., Kasri, N.F., and Ahmad, H., 2017. Leakage Current and 79. Carbon Track Analysis of LLDPE-Natural Rubber Blends Filled with Nano Silica. International Journal of Simulation, Systems, Science & Technology, 17, pp.1–5. 80. Muhamedin, F.L., Piah, M.A.M., and Othman, N.A., 2015. Modelling on Tracking Test 81. Condition of Polymer Nanocomposite using Finite Element Simulation. TELKOMNIKA (Telecommunication Computing Electronics and Control), 13 (4), pp.1194. 82. Muniraj, C. and Chandrasekar, S., 2012. Finite element modeling for electric field and voltage distribution along the polluted polymeric insulator. World Journal of Modelling and Simulation, 8 (4), pp.310–320. 83. Nakano, Y., Kojima, H., Tsuchiya, K., and Hayakawa, N., 2015. Impulse surface flashover development associated with transient charging by explosive electron emission in vacuum. IEEE Transactions on Dielectrics and Electrical Insulation, 22 (4), pp.2390–2397. 84. Nanninga, P.M., 2008. A computational neuron model based on Poisson – Nernst – Planck theory. ANZIAM J. 50 (CTAC2008), 50, pp.46–59. 85. Narmadhai, N. and Jeyakumar, A.E., 2011. Analysis of leakage current to predict insulator flashover using artificial neural network. Journal of Computer Science, 7 (2), pp.167–172. 86. Niessen, E.M.J., 1998. Numerical simulation of secondary electron emission charging at insulator surfaces. Int. Symp. on Discharges and Electrical Insulation in Vacuum-Eindhove, 1 (18), pp.162–165. 87. Nordheim, L.W., 1928. The Effect of the Image Force on the Emission and Reflection of Electrons by Metals. Proceedings of the Royal Society of London, pp.626–639. 88. O’Sullivan, F., Se-Hee, L., Zahn, M., Pettersson, L., Liu, R., Hjortstam, O., Auletta, T., and Gafvert, U., 2006. Modeling the Effect of Ionic Dissociation on Charge Transport in Transformer 89. Oil. In: Annual Report Conference on Electrical Insulation and Dielectric Phenomena. pp.756–759. 90. Obodovski, I., Kirsanov, M., and Pokachalov, S., 1996. Electron Avalanches in Liquid Xenon Induced by Space Charge. International Conference on Conduction and Breakdown in Dielectric Liquids, pp.81–84. 91. Onsager, L., 1934. Deviations from Ohm’s Law in Weak Electrolytes. J. Chem. Phys., 2, pp.599–615. 92. Owen, J.R., Sanders, J.H., Wakizaka, Y., Roberts, M.R., and Johns, P.A., 2009. How the electrolyte limits fast discharge in nanostructured batteries and supercapacitors. 93. Electrochemistry Communications, 11 (11), pp.2089–2092. 94. Piah, M.A.M., Darus, A., and Hassan, A., 2003. Leakage Current and Surface Discharge Phenomena: Effect on Tracking and Morphological Properties of LLDPE-Natural Rubber Compounds. In: Properties and Applications of Dielectric Materials. pp.347–350. 95. Piah, M.A.M., 2008. Leakage Current of Surface Discharge on Electrical Tracking Phenomena. Proceedings of the IEEE International Conference on Properties and Applications of Dielectric Materials, 350(1), pp. 347 96. Piah, M.A.M. and Darus, A., 2004. Modeling Leakage Current and Electric Field Behavior of Wet Contaminated Insulators. IEEE Transactions on Power Delivery, 19 (1), pp.432–433. 97. Prakash, N.B., Parvathavarthini, M., and Madavan, R., 2015. Mathematical modeling on AC pollution flashover performance of glass and composite insulator. Journal of Electrical Engineering and Technology, 10 (4), pp.1796–1803. 98. Qian, J., Joshi, R.P., Schoenbach, K.H., Woodworth, J.R., and Sarkisov, G.S., 2006. Model analysis of self- and laser-triggered electrical breakdown of liquid water for pulsed-power applications. IEEE Transactions on Plasma Science, 34 (5 I), pp.1680–1691. 99. Rahifa, R., 2014. Mathematical Modelling of Lithium Ion Batteries. PhD Thesis. University of Southampton. 100. Ramirez, I., Hernández, R., and Montoya, G., 2012. Measurement of leakage current for monitoring the performance of outdoor insulators in polluted environments. IEEE Electrical Insulation Magazine, 28 (4), pp.29–34. 101. Reynders, J.P., Jandrell, I.R., and Reynders, S.M., 1999. Review of aging and recovery of silicone rubber insulation for outdoor use. IEEE Transactions on Dielectrics and Electrical Insulation, 6 (5), pp.620–631. 102. Rothfuss, C.J., Medvedev, V.K., and Stuve, E.M., 2002. Temperature and field dependence of protonated water cluster emission from field adsorbed water layers on platinum. Surface Science, 501, pp.169–181. 103. Rusu-Zagar, C., Notingher, P. V., and Stancu, C., 2007. Ageing and Degradation of Electrical Machines Insulation. Journal of International Scientific Publications: Materials, Methods and Technologies, 8, pp.526–546. 104. Salthouse, E.C., 1968. Control & Science Initiation of dry bands on polluted insulation.Proceedings of the Institution of Electrical Engineers, 115, pp.1707–1712. 105. Samson, E. and Marchand, J., 1999. Numerical Solution of the Extended Nernst-Planck Model. Journal of Colloid and Interface Science, 8, pp.1–8. 106. Sarkar, P., Haddad, A., Waters, R.T., Griffiths, H., Harid, N., and Charalampidis, P., 2010.Inclined-plane tests of textured silicone rubber samples. In: International Conference on High Voltage Engineering and Application, ICHVE 2010. pp.532–535. 107. Shakhashiri, 2011. Water [online]. General Chemistry. Available at: www.scifun.org. 108. Shampine, L.F. and Reichelt, M.W., 1997. The MATLAB ODE Suite. SIAM Journal on Scientific Computing, 18 (1), pp.1–22. 109. Shih, A., Yater, J., Hor, C., and Abrams, R., 1997. Secondary electron emission studies. Applied Surface Science, 111, pp.251–258. 110. Shinsaka, K., Odaka, T., Isoda, K., Yamada, H., Ukai, M., Kouchi, N., and Hatano, Y., 1995. Electron Mobilities and Electron-ion Recombination Rate Constants in Nonpolar Solvents. JAERI-Conference, pp.69–75. 111. Sima, W., Jiang, C., Lewin, P., Yang, Q., and Yuan, T., 2013. Modeling of the partial discharge process in a liquid dielectric: Effect of applied voltage, gap distance, and electrode type. Energies, 6 (2), pp.934–952. 112. Singer, A., 2009. A poisson-nernst-planck model for biological ion channels — an asymptotic analysis in a 3-d narrow funnel. SIAM Journal on Applied Mathematics, 70 (3), pp.27–29. 113. Sofiya, V., Iosif, B., and Vladimir, K., 2015. Universal mathematical model of leakage currents and currents spread on elements of high-voltage pillar. DAAAM International Symposium on Intelligent Manufacturing and Automation, 100, pp.1515–1521. 114. Sokolov, V., Berler, Z., and Rashkes, V., 1999. Effective methods of assessment of insulation system conditions in power transformers: a view based on practical experience. Electrical Insulation Conference and Electrical Manufacturing & Coil Winding Conference, 1999. Proceedings, pp.659–667. 115. Solomon, P. and Klein, N., 1975. Impact Ionization in Silicon Dioxide at Fields in the Breakdown Range. Solid State Communications, 17, pp.1397–1400. 116. Suda, T., 2001. Frequency characteristics of leakage current waveforms of an artificially polluted suspension insulator. IEEE Transactions on Dielectrics and Electrical Insulation, 8 (4), pp.705–709. 117. Sullivan, F.M.O., 2007. A Model for the Initiation and Propagation of Electrical Streamers in Transformer Oil and Transformer Oil Based Nanofluids. PhD Thesis. Massachusetts Institute of Technology. 118. Suwarno and Pratomosiwi, F., 2009. Computer simulation of leakage current on ceramic insulator under clean fog condition. In: 3rd Asia International Conference on Modelling and Simulation. pp.508–513. 119. Syakur, A., Berahim, H., Tumiran, and Rochmadi, 2013. Electrical Tracking Formation on Silane Epoxy Resin under Various Contaminants. TELKOMNIKA (Telecommunication Computing Electronics and Control), 11 (1), pp.17–28. 120. Syakur, A., Berahim, H., Tumiran, and Rochmadi, 2012. Hydrophobic Contact Angle and Surface Degradation of Epoxy Resin Compound with Silicon Rubber and Silica. Electrical and Electronic Engineering, 2 (5), pp.284–291. 121. Tiian, Y., Feng, L., Wang, T., and Jiang, M., 2015. Characteristics of HV insulators’ leakage current on surface discharge. In: Proceedings of the 2015 International Conference on Electric,Electronic and Control Engineering (ICEECE). pp.307–311. 122. Tran, T.N., Golosnoy, I.O., Lewin, P.L., and Georghiou, G.E., 2011. Numerical modelling of negative discharges in air with experimental validation. Journal of Physics D: Applied Physics, 44 (1), pp.15203. 123. Vas, J.V., Venkatesulu, B., and Thomas, M.J., 2012. Tracking and erosion of silicone rubber nanocomposites under DC voltages of both polarities. IEEE Transactions on Dielectrics and Electrical Insulation, 19 (1), pp.91–98. 124. Wadhwa, C.L., 2000. High Voltage Engineering. Plant A Tree. 125. Wadhwa, C.L., 2013. High Voltage Engineering. Journal of Chemical Information and Modeling. New Delhi: New Age International (P) Limited, Publishers. 126. Waluyo, Pakpahan, P.M., and Suwarno, 2006. Study on the electrical equivalent circuit models of polluted outdoor insulators. In: IEEE 8th International Conference on Properties and Applications of Dielectric Materials. pp.546–549. 127. Yang, Q., Wang, R., Sima, W., Jiang, C., Lan, X., and Zahn, M., 2012. Electrical circuit flashover model of polluted insulators under ac voltage based on the arc root voltage gradient criterion.Energies, 5 (3), pp.752–769. 128. Zainuddin, H., Lewin, P.L., and Mitchinson, P.M., 2011. Measurement of Leakage Current at the Oil-Pressboard Interface during Surface Discharge. In: Electrical Insulation Conference, Annapolis, Maryland. pp.41–44. 129. Zener, C., 1926. A Theory of the Electrical Breakdown of Solid Dielectrics. Proceedings of the Royal Societ, Volume 109 (Society, The Royal Society, Royal Sciences, Physical), pp.523–529. 130. Zheng, Q. and Wei, G.W., 2011. Poisson-Boltzmann-Nernst-Planck model. Journal of Chemical Physics, 134 (19), pp.1–17. 131. Zhicheng, G., Yingke, M., Liming, W., Ruihai, L., Hua, W., and Yi, M., 2009. Leakage current and discharge phenomenon of outdoor insulators. International Journal on Electrical Engineering and Informatics, 1 (1), pp.1–17. 132. Zoski, C.G., 2007. Handbook of electrochemistry. First edit. Journal of Chemical Information and Modeling. New Mexico, USA: Elsivier.

Modelling Of Leakage Current On Conductive Surface For Outdoor Insulators

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