Impact of Probability Distribution Model Selection on Extreme Value of Conductor Ice Thickness

doi:10.11930/j.issn.10.11930.2015.8.46

Abstract

Abstract: The selection of different probability distribution models can influence conductor ice thickness for specific return period. This paper discuss 3 typical models, namely Pearson Ⅲ distribution, Generalized extreme value distribution and Generalized Pareto distribution. The model applications on historical ice data from Nanyue Mountain weather station of Hunan province are analyzed. The results are helpful for final design of overhead transmission lines during terms of conductor ice thickness calculation.

Key words: transmission line, icing, modeling, pearson Ⅲ distribution, generalized extreme value distribution, generalized pareto distribution, standard ice thickness, return period

CLC Number:

TM774

YANG Jialun, ZHU Kuanjun, LIU Bin, YIN Quan, YE Chengzhi, LI Xingyu. Impact of Probability Distribution Model Selection on Extreme Value of Conductor Ice Thickness[J]. journal1, 2015, 48(8): 46-52.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.10.11930.2015.8.46

https://www.electricpower.com.cn/EN/Y2015/V48/I8/46

References

[1] 蒋兴良，马俊，王少华，等. 输电线路冰害事故及原因分析[J]. 中国电力，2005，38（11）：27－30．
JIANG Xingliang, MA Jun, WANG Shaohua, et al. Transmission lines’ ice accidents and analysis of the formative factors[J]. Electric Power, 2005, 38(11): 27-30.
[2] 许家浩，郑伟，黄宵宁，等. 微气象条件下输电线路导线覆冰预测模型[J]. 中国电力，2014，47（2）：58-63.
XU Jiahao, ZHENG Wei, HUANG Xiaoning, et al. Transmission line icing prediction model under micro-meterological conditions[J]. Electric Power, 2014, 47(2): 58-63.
[3] 邹明华，邓洪洲. 输电线路设计覆冰厚度统计模型取用[J]. 电网与清洁能源，2010，26（2）：40－44．
ZOU Minghua, DENG Hongzhou. Study on probability distribution model of designed ice load for transmission lines[J]. Power System and Clean Energy, 2010, 26(2): 40-44.
[4] 陆佳政，张红先，彭继文，等. 基于极值Ⅰ型概率分布模型的湖南省电网覆冰重现期计算[J]. 高电压技术，2012，38（2）：464-468.
LU Jiazheng, ZHANG Hongxian, PENG Jiwen, et al. Calculation of Hunan power grid icing recurrence interval based on extreme- value type Ⅰ probability distribution model[J]. High Voltage Engineering, 2012, 38(2): 464-468.
[5] 杨加伦，朱宽军，刘彬，等. 输电线路冰区分布图绘制关键技术[J]. 电力建设，2013，34（9）：31－36．
YANG Jialun, ZHU Kuanjun, LIU Bin, et al. Technologies of icing distribution map for power transmission line[J]. Electric Power Construction, 2013, 34(9): 31-36.
[6] 聂国一. 架空送电线路导线冰载的探讨[J]. 电力建设，1992，13（7）：46－54．
NIE Guoyi. Discussion about the icing load on conductors of overhead transmission lines[J]. Electric Power Construction, 1992, 13(7): 46-54.
[7] KATHLEEN F, NEAL L, RONALD T. Extreme ice from freezing rain [M]. New Hampshire: American Lifelines Alliance, 2004.
[8] DL/T 5158—2012 电力工程气象勘测技术规程[S].
[9] 谭冠日，王冰，秦剑，等. 导线积冰极值的推算[J]. 电力技术，1983（2）：8－14．
TAN Guanri, WANG Bing, QIN Jian, et al. Calculation of the extreme ice thickness for conductors [J]. Electric Technique, 1983(2): 8-14.
[10] 江志红，刘冬，刘渝，等. 导线覆冰极值的概率分布模拟及其应用试验[J]. 大气科学学报，2010，33（4）：358－394．
JIANG Zhihong, LIU Dong, LIU Yu, et al. Study on the probability distribution simulation of conductor icing and its application test[J]. Transactions of Atmospheric Sciences, 2010, 33(4): 358-394.
[11] 丁裕国，江志红. 极端气候研究方法导论[M]. 北京：气象出版社，2009.
[12] 马开玉，张耀存，陈星. 现代应用统计学[M]. 北京：气象出版社，2004.
[13] 陆佳政，张红先，彭继文，等. 基于皮尔逊Ⅲ型概率分布的湖南覆冰重现期计算[J]. 电工技术学报，2013，28（1）：80－86．
LU Jiazheng, ZHANG Hongxian, PENG Jiwen, et al. Calculation of Hunan power grid icing recurrence interval based on Pearson Ⅲ type probability distribution[J]. Transactions of China Electrotechnical Society, 2013, 28(1): 80-86.
[14] 吴香华，秦伟良，王新蕾，等. 用最小绝对偏差方法（ＬＡＤ）估计极值分布参数的探讨[J]. 气象科学，2006，26（3）：260－264．
WU Xianghua, QIN Weiliang, WANG Xinlei, et al. Regressive parameter-estimating with least absolute deviation in extreme value distribution[J]. Journal of the Meteorological Sciences，2006, 26(3): 260-264.
[15] 程炳岩，丁裕国，张金铃，等. 广义帕雷托分布在重庆暴雨强降水研究中的应用[J]. 高原气象，2008，27（5）：1004－1009．
CHENG Bingyan, DING Yuguo, ZHANG Jinling, et al. Application of generalized Pareto distribution to the research of extreme rainfall of Chongqing [J]. Plateau Meteorology, 2008, 27(5): 1004-1009.
[16] FRANK J. The kolmogorov-smirnov test for goodness of fit[J]. Journal of the American Statistical Association, 1951, 46: 68-78.