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Surface charge accumulation and decay behaviors of dielectric materials are the key factors restricting the development of high voltage direct current power equipment. For flat samples, the density of surface charges deposited by corona can be regarded as a linear change with the surface potential. For this reason, the behavior of surface charge decay can be directly related to that of surface potential. According to the corona charging process, the surface charge deposition and detrapping process, as well as the charge transport process in the bulk, we may establish a physical model dynamic response to the surface potential. Influences of grid voltage, relative permittivity, and bulk conductivity on the surface potential decay process can be obtained through calculating the surface potential decay behaviors of epoxy resin. The higher the grid voltage, the faster the surface potential decays. At the typical parameter value of epoxy resin (relative permittivity 3.93, bulk conductivity 10-14 S m-1), the normalized decay rate can be fitted by two straight lines in a log-log plot; moreover, the calculated results show a linear variation of power factors with the grid voltage, while the power function shows a relationship between the characteristic time and the grid voltage. The bigger the relative permittivity, the slower the surface potential decays. In the typical parameter area of epoxy resin (relative permittivity 3-4), the surface potential decay time constant increases from 1720 s to 2540 s, showing a linear variation. Also the bigger the bulk conductivity, the faster the surface potential decays. In the typical parameter area of epoxy resin (bulk conductivity 10-15-10-13 S m-1), the surface potential decay time constant decreases from 24760 s to 260 s, showing a power function relationship.
[1] Lorenzi A D, Grando L, Pesce A, Bettini P, Specogna R 2009 IEEE Trans. Dielectr. Electr. Insulat. 16 77
[2] Liu Y Q, An Z L, Cang J, Zhang Y W, Zheng F H 2012 Acta Phys. Sin. 61 158201 (in Chinese) [刘亚强, 安振连, 仓俊, 张冶文, 郑飞虎 2012 物理学报 61 158201]
[3] Sato S, Zaengl W S, Knecht A 1987 IEEE Trans. Electr. Insulat. EI-22 333
[4] Li W Q, Hao J, Zhang H B 2015 Acta Phys. Sin. 64 086801 (in Chinese) [李维勤, 郝杰, 张海波 2015 物理学报 64 086801]
[5] Feng G B, Wang F, Hu T C, Cao M 2015 Chin. Phys. B 24 117901
[6] Hosono T, Kato K, Morita A, Okubo H 2007 IEEE Trans. Dielectr. Electr. Insulat. 14 627
[7] Hoang A T, Serdyuk Y V, Gubanski S M 2014 International Conference on High Voltage Engineering and Application Poznan, September 8-11, 2014 p1
[8] Gao Y, Du B X 2012 High Voltage Eng. 38 824 (in Chinese) [高宇, 杜伯学 2012 高电压技术 38 824]
[9] Mizutani T, Taniguchi Y, Ishioka M 2002 Conference Proceedings of 11m th International Symposium on Electrets Melbourne, Australia, October 1-3, 2002 p15
[10] Neves A, Martins H J A 1996 Conference Record of International Symposium on Electrical Insulation Montreal, Canada, June 16-19, 1996 p782
[11] Li A, Du B X, Xu H, Li Z L, Xiao M, Han T 2015 High Voltage Eng. 41 410 (in Chinese) [李昂, 杜伯学, 徐航, 李忠磊, 肖萌, 韩涛 2015 高电压技术 41 410]
[12] Du B X, Xiao M 2014 IEEE Trans. Dielectr. Electr. Insulat. 21 529
[13] Sonnonstine T J, Perlman M M 1975 J. Appl. Phys. 46 3975
[14] Chen G, Xu Z, Zhang L W 2007 Meas. Sci. Technol. 18 1453
[15] Kindersberger J, Lederle C 2008 IEEE Trans. Dielectr. Electr. Insulat. 15 941
[16] Kindersberger J, Lederle C 2008 IEEE Trans. Dielectr. Electr. Insulat. 15 949
[17] Perrin C, Griseri V, Laurent C 2008 IEEE Trans. Dielectr. Electr. Insulat. 15 958
[18] Xu Z Q, Zhang L W, Chen G 2007 J. Phys. D: Appl. Phys. 40 7085
[19] Ziari Z, Sahli S, Bellel A 2010 M. J. Conden. Matter 12 223
[20] von Berlepsch H 1985 J. Phys. D: Appl. Phys. 18 1155
[21] Chen G 2010 J. Phys. D: Appl. Phys. 43 055405
[22] Min D M, Li S T 2014 IEEE Trans. Dielectr. Electr. Insulat. 21 1627
[23] Min D M, Cho M G, Li S T, Khan A R 2012 IEEE Trans. Dielectr. Electr. Insulat. 19 2206
[24] Min D M 2013 Ph. D. Dissertation (Xi'an: Xi'an Jiaotong University) (in Chinese) [闵道敏 2013 博士学位论文 (西安: 西安交通大学)]
[25] Xia Z F 2001 Electret (Beijing: Science Press) pp74-78 (in Chinese) [夏钟福 2001 驻极体 (北京: 科学出版社) 第7478页]
[26] Ji Y M, Zhang B, He J L 2014 High Voltage Eng. 40 1768 (in Chinese) [季一鸣, 张波, 何金良 2014 高电压技术 40 1768]
[27] Jin W F 1995 Dielect. Phys. (Beijing: China Machine Press) pp97-117 (in Chinese) [金维芳 1995 电介质物理学 (北京: 机械工业出版社) 第97-117 页]
[28] Zhang J W 2012 Ph. D. Dissertation (Tianjin: Tianjin University) (in Chinese) [张纪伟 2012 博士学位论文 (天津: 天津大学)]
[29] Li G C, Min D M, Li S T, Zheng X Q, Ru J S 2014 Acta Phys. Sin. 63 209401 (in Chinese) [李国倡, 闵道敏, 李盛涛, 郑晓泉, 茹佳胜 2014 物理学报 63 209401]
[30] Cockburn B, Shu C W 1989 Math. Comput. 52 411
[31] Gao Y, Li Y, Cui J D, Du B X 2012 Trans. China Electrotech. Soc. 27 264 (in Chinese) [高宇, 李莹, 崔劲达, 杜伯学 2012 电工技术学报 27 264]
[32] Yin G L 2012 Ph. D. Dissertation (Xi'an: Xi'an Jiaotong University) (in Chinese) [尹桂来 2012 博士学位论文 (西安: 西安交通大学)]
[33] Zhou Y X, Wu P X, Cheng Z Y, Ingram J, Jeelani S 2008 Express Polym. Lett. 2 40
[34] Gao Y, Du B X 2012 Conference Record of the 2012 IEEE International Symposium on Electrical Insulation San Juan, PR, June 10-13, 2012 p531
[35] Ieda M, Sawa G, Shinohara U 1967 Jpn. J. Appl. Phys. 6 793
[36] Wu N P 1990 Electrical Materials Science (Beijing: China Machine Press) p78 (in Chinese) [吴南屏 1990 电工材料学 (北京: 机械工业出版社) 第78页]
[37] Wintle H J 1970 J. Appl. Phys. 41 4004
[38] Gao Y, Du B X 2012 High Voltage Eng. 38 2097 (in Chinese) [高宇, 杜伯学 2012 高电压技术 38 2097]
[39] Hoang A T, Serdyuk Y V, Gubanski S M 2014 IEEE Trans. Dielectr. Electr. Insulat. 21 1291
[40] Frederickson A R, Dennison J R 2003 IEEE Trans. Nucl. Sci. 50 2284
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[1] Lorenzi A D, Grando L, Pesce A, Bettini P, Specogna R 2009 IEEE Trans. Dielectr. Electr. Insulat. 16 77
[2] Liu Y Q, An Z L, Cang J, Zhang Y W, Zheng F H 2012 Acta Phys. Sin. 61 158201 (in Chinese) [刘亚强, 安振连, 仓俊, 张冶文, 郑飞虎 2012 物理学报 61 158201]
[3] Sato S, Zaengl W S, Knecht A 1987 IEEE Trans. Electr. Insulat. EI-22 333
[4] Li W Q, Hao J, Zhang H B 2015 Acta Phys. Sin. 64 086801 (in Chinese) [李维勤, 郝杰, 张海波 2015 物理学报 64 086801]
[5] Feng G B, Wang F, Hu T C, Cao M 2015 Chin. Phys. B 24 117901
[6] Hosono T, Kato K, Morita A, Okubo H 2007 IEEE Trans. Dielectr. Electr. Insulat. 14 627
[7] Hoang A T, Serdyuk Y V, Gubanski S M 2014 International Conference on High Voltage Engineering and Application Poznan, September 8-11, 2014 p1
[8] Gao Y, Du B X 2012 High Voltage Eng. 38 824 (in Chinese) [高宇, 杜伯学 2012 高电压技术 38 824]
[9] Mizutani T, Taniguchi Y, Ishioka M 2002 Conference Proceedings of 11m th International Symposium on Electrets Melbourne, Australia, October 1-3, 2002 p15
[10] Neves A, Martins H J A 1996 Conference Record of International Symposium on Electrical Insulation Montreal, Canada, June 16-19, 1996 p782
[11] Li A, Du B X, Xu H, Li Z L, Xiao M, Han T 2015 High Voltage Eng. 41 410 (in Chinese) [李昂, 杜伯学, 徐航, 李忠磊, 肖萌, 韩涛 2015 高电压技术 41 410]
[12] Du B X, Xiao M 2014 IEEE Trans. Dielectr. Electr. Insulat. 21 529
[13] Sonnonstine T J, Perlman M M 1975 J. Appl. Phys. 46 3975
[14] Chen G, Xu Z, Zhang L W 2007 Meas. Sci. Technol. 18 1453
[15] Kindersberger J, Lederle C 2008 IEEE Trans. Dielectr. Electr. Insulat. 15 941
[16] Kindersberger J, Lederle C 2008 IEEE Trans. Dielectr. Electr. Insulat. 15 949
[17] Perrin C, Griseri V, Laurent C 2008 IEEE Trans. Dielectr. Electr. Insulat. 15 958
[18] Xu Z Q, Zhang L W, Chen G 2007 J. Phys. D: Appl. Phys. 40 7085
[19] Ziari Z, Sahli S, Bellel A 2010 M. J. Conden. Matter 12 223
[20] von Berlepsch H 1985 J. Phys. D: Appl. Phys. 18 1155
[21] Chen G 2010 J. Phys. D: Appl. Phys. 43 055405
[22] Min D M, Li S T 2014 IEEE Trans. Dielectr. Electr. Insulat. 21 1627
[23] Min D M, Cho M G, Li S T, Khan A R 2012 IEEE Trans. Dielectr. Electr. Insulat. 19 2206
[24] Min D M 2013 Ph. D. Dissertation (Xi'an: Xi'an Jiaotong University) (in Chinese) [闵道敏 2013 博士学位论文 (西安: 西安交通大学)]
[25] Xia Z F 2001 Electret (Beijing: Science Press) pp74-78 (in Chinese) [夏钟福 2001 驻极体 (北京: 科学出版社) 第7478页]
[26] Ji Y M, Zhang B, He J L 2014 High Voltage Eng. 40 1768 (in Chinese) [季一鸣, 张波, 何金良 2014 高电压技术 40 1768]
[27] Jin W F 1995 Dielect. Phys. (Beijing: China Machine Press) pp97-117 (in Chinese) [金维芳 1995 电介质物理学 (北京: 机械工业出版社) 第97-117 页]
[28] Zhang J W 2012 Ph. D. Dissertation (Tianjin: Tianjin University) (in Chinese) [张纪伟 2012 博士学位论文 (天津: 天津大学)]
[29] Li G C, Min D M, Li S T, Zheng X Q, Ru J S 2014 Acta Phys. Sin. 63 209401 (in Chinese) [李国倡, 闵道敏, 李盛涛, 郑晓泉, 茹佳胜 2014 物理学报 63 209401]
[30] Cockburn B, Shu C W 1989 Math. Comput. 52 411
[31] Gao Y, Li Y, Cui J D, Du B X 2012 Trans. China Electrotech. Soc. 27 264 (in Chinese) [高宇, 李莹, 崔劲达, 杜伯学 2012 电工技术学报 27 264]
[32] Yin G L 2012 Ph. D. Dissertation (Xi'an: Xi'an Jiaotong University) (in Chinese) [尹桂来 2012 博士学位论文 (西安: 西安交通大学)]
[33] Zhou Y X, Wu P X, Cheng Z Y, Ingram J, Jeelani S 2008 Express Polym. Lett. 2 40
[34] Gao Y, Du B X 2012 Conference Record of the 2012 IEEE International Symposium on Electrical Insulation San Juan, PR, June 10-13, 2012 p531
[35] Ieda M, Sawa G, Shinohara U 1967 Jpn. J. Appl. Phys. 6 793
[36] Wu N P 1990 Electrical Materials Science (Beijing: China Machine Press) p78 (in Chinese) [吴南屏 1990 电工材料学 (北京: 机械工业出版社) 第78页]
[37] Wintle H J 1970 J. Appl. Phys. 41 4004
[38] Gao Y, Du B X 2012 High Voltage Eng. 38 2097 (in Chinese) [高宇, 杜伯学 2012 高电压技术 38 2097]
[39] Hoang A T, Serdyuk Y V, Gubanski S M 2014 IEEE Trans. Dielectr. Electr. Insulat. 21 1291
[40] Frederickson A R, Dennison J R 2003 IEEE Trans. Nucl. Sci. 50 2284
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