SF<sub>6</sub>/N<sub>2</sub>混合气体电击穿特性仿真及实验

doi:10.19595/j.cnki.1000-6753.tces.160740

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摘要通过求解两项近似Boltzmann方程,得到SF₆/N₂的放电参数,并将该参数引入流体模型。结合有限元法和通量校正传输法对SF₆/N₂的流注放电过程进行循环迭代求解,计算其击穿电压。以均匀电场中压强0.1~0.6MPa、间隙5mm为例进行数值模拟,通过气体放电实验对计算结果进行验证。根据计算及实验结果得到不同混合比、压强下SF₆/N₂的协同效应系数,分析采用上述计算方法研究混合气体协同效应的准确性。为更全面地反映混合气体应用条件,进一步开展压强低于0.1MPa的SF₆/N₂击穿特性实验研究。研究表明：随着电子崩不断向前发展,放电间隙的空间电子数密度快速增长,SF₆放电过程中的空间电子数密度增长速度低于SF₆/N₂。0.1MPa下20%SF₆/80%N₂放电5ns时的电子数密度峰值达到4.6×10¹⁴m^-3,而SF₆中该值仅为3.7×10¹²m^-3。当气压为0.1~0.6MPa时,SF₆/N₂击穿电压计算值与实测值的最大误差为9.23%,协同效应系数计算值随压强、混合比的变化趋势与实验结果相符,误差均值为5%。0.02~0.08MPa下SF₆/N₂击穿电压、协同效应系数随压强、混合比的变化趋势与0.1~0.6MPa下的基本相同。

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	李鑫涛
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	李璐维
	陈会利

关键词 ： SF₆/N₂混合气体, 有限元法, 通量校正传输法, Boltzmann方程, 流体模型, 击穿特性, 协同效应

Abstract：SF₆/N₂ discharge parameters used in fluid model were obtained by two-term Boltzmann equation analysis. Combined finite element method with flux corrected transport method, breakdown voltages of SF₆/N₂ were calculated by loop iterative solutions of streamer discharge processes. The gas discharge experiments in uniform electric field were simulated to prove the computation accuracy, where the gas gap is 5mm and gas pressure is between 0.1~0.6MPa. Based on the computed and experimental data, synergistic effect coefficients of SF₆/N₂ in different pressures and mixing ratios were obtained, which were used to analyze the accuracy of above computing method in synergistic effect study. Breakdown properties below 0.1MPa were further studied for a more comprehensive reflection of mixed SF₆/N₂ application conditions. Results show that electron number density in discharge gap increases rapidly with electron avalanche moving forward, and growth rate of SF₆ is slower than that of SF₆/N₂. Peak electron number density of 20%SF₆/80%N₂ in 0.1MPa reaches 4.6×10¹⁴m^-3 at 5ns, while it is only 3.7×10¹²m^-3 in SF₆. When the gas pressure is in 0.1~0.6MPa, the maximum error of the calculated and measured breakdown voltages of SF₆/N₂ is 9.23%. The trends of calculated synergistic effect coefficients with pressures and mixing ratios are consistent with the experimental results, and the average error is 5%. The trends of breakdown voltages and synergistic effect coefficients with pressures and mixing ratios in 0.02~0.08MPa are similar to those in 0.1~0.6MPa.

Key words： SF₆/N₂ gas mixtures finite element method flux corrected transport method Boltzmann equation fluid model breakdown characteristics synergistic effect

收稿日期: 2016-06-20 出版日期: 2017-10-30

PACS:

TM85

基金资助:国家自然科学基金（51277123）,国家电网公司科技项目（JS（2015）878）和辽宁省重点实验室基础研究项目（LZ2015055）资助

通讯作者: 李鑫涛女,1989年生,博士研究生,研究方向为气体放电特性的计算及实验。E-mail: 798738412@qq.com

作者简介: 林莘女,1961年生,教授,研究方向为高压电器、高电压与绝缘技术、智能电器。E-mail: sylinxin@163.com

引用本文:

李鑫涛, 林莘, 徐建源, 李璐维, 陈会利. SF₆/N₂混合气体电击穿特性仿真及实验[J]. 电工技术学报, 2017, 32(20): 42-52. Li Xintao, Lin Xin, Xu Jianyuan, Li Luwei, Chen Huili. Simulations and Experiments of Dielectric Breakdown Characteristics in SF₆/N₂ Gas Mixtures. Transactions of China Electrotechnical Society, 2017, 32(20): 42-52.

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[1] 张健康, 栗小华, 夏芸, 等. 750kV变压器保护配置及整定计算探讨[J]. 电力系统保护与控制, 2015, 43(9): 91-94.
Zhang Jiankang, Li Xiaohua, Xia Yun, et al. Discussion on protection configuration and setting calculation for 750kV transformer[J]. Power System Protection and Control, 2015, 43(9): 91-94.
[2] 林莘, 夏亚龙, 刘卫东, 等. 电容器组投切用SF 6 断路器介质恢复特性数值计算与实验研究[J]. 电工技术学报, 2015, 30(17): 161-170.
Lin Xin, Xia Yalong, Liu Weidong, et al. The numerical computation and experiment research on dielectric recovery characteristics of SF 6 circuit breaker for switching capacitor bank[J]. Transactions of China Electrotechnical Society, 2015, 30(17): 161-170.
[3] 林涛, 韩冬, 钟海峰, 等. 工频交流电晕放电下SF 6 气体分解物形成的影响因素[J]. 电工技术学报, 2014, 29(2): 219-224.
Lin Tao, Han Dong, Zhong Haifeng, et al. Influence factors of formation of decomposition by-products of SF 6 in 50Hz AC corona discharge[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 219- 224.
[4] 林莘, 李鑫涛, 徐建源, 等. 均匀电场下SF 6 气体击穿电压的数值计算及光谱实验研究[J]. 中国电机工程学报, 2016, 36(1): 301-309.
Lin Xin, Li Xintao, Xu Jianyuan, et al. Research on numerical computation of SF 6 breakdown voltages and spectral experiment in uniform electric fields[J]. Proceedings of the CSEE, 2016, 36(1): 301-309.
[5] 张俊民, 高荟凯, 冯昊, 等. 三种绝缘气体下开关设备的温度场及流场对比分析[J]. 电工技术学报, 2015, 30(6): 161-170.
Zhang Junmin, Gao Huikai, Feng Hao, et al. Analysis of thermal and fluid field of switchgear in three insulating gases[J]. Transactions of China Electro- technical Society, 2015, 30(6): 161-170.
[6] 汪沨, 李敏, 李锰, 等. 基于ETG-通量校正传输法的短间隙SF 6 /N 2 混合气体流注放电数值仿真[J]. 电工技术学报, 2016, 31(6): 234-241.
Wang Feng, Li Min, Li Meng, et al. Numerical simulation of short gap streamer discharge in SF 6 /N 2 gas mixtures based euler-taylor-galerkin-flux corrected transport method[J]. Transactions of China Electro- technical Society, 2016, 31(6): 234-241.
[7] 张晓星, 周君杰, 唐炬, 等. CF 3 I-CO 2 混合气体在针板电极下局部放电绝缘特性实验研究[J]. 电工技术学报, 2013, 28(1): 36-42.
Zhang Xiaoxing, Zhou Junjie, Tang Ju, et al. Experimental study of partial discharge insulating properties for CF 3 I-CO 2 mixtures under needle-plate electrode[J]. Transactions of China Electrotechnical Society, 2013, 28(1): 36-42.
[8] 文旭, 郭林, 王俊梅. 面向节能减排的电力系统发购电计划研究述评[J]. 电力系统保护与控制, 2015, 43(9): 136-143.
Wen Xu, Guo Lin, Wang Junmin. Overview of power dispatch and purchasing plan in power system from energy-saving and emission-reducing[J]. Power System Protection and Control, 2015, 43(9): 136-143.
[9] 高志远, 姚建国, 曹阳, 等. 智能电网发展机理研究初探[J]. 电力系统保护与控制, 2015, 42(5): 116-121.
Gao Zhiyuan, Yao Jianguo, Cao Yang, et al. Primary study on development mechanism of smart gird[J]. Power System Protection and Control, 2015, 42(5): 116-121.
[10] Christophoro L G, Olthoff J K. Electron interactions with SF 6 [J]. Journal of Physical and Chemical Reference Data, 2000, 29(3): 267-330.
[11] 王湘汉, 汪沨, 邱毓昌. SF 6 /N 2 混合气体流注放电二维动力学模型的计算机仿真[J]. 绝缘材料, 2007, 40(4): 70-73.
Wang Xianghan, Wang Feng, Qiu Yuchang. Simulation of dynamic fluid model for the streamer discharge in SF 6 /N 2 gas mixtures[J]. Insulating Materials, 2007, 40(4): 70-73.
[12] 汪沨, 肖晓林, 张宪标, 等. 基于PIC法模拟SF 6 /N 2 混合气体沿面放电特性研究[J]. 电工技术学报,2011, 26(8): 221-226.
Wang Feng, Xiao Xiaolin, Zhang Xianbiao, et al. Research on insulator surface discharge characteri- stics in SF 6 /N 2 gas mixture using PIC method[J]. Transactions of China Electrotechnical Society, 2011, 26(8): 221-226.
[13] Pinheiro M J, Loureiro J. Effective ionization coefficients and electron velocity in gas mixtures of SF 6 with He, Xe, CO 2 , and N 2 from Boltzmann analysis[J]. Journal of Physics D: Applied Physics, 2002, 35(23): 3077-3084.
[14] 赵虎, 李兴文, 贾申利. SF 6 及其混合气体临界击穿场强的计算与特性分析[J]. 西安交通大学学报, 2013, 47(2): 109-115.
Zhao Hu, Li Xingwen, Jia Shenli. Calculation and characteristic analysis of critical breakdown field strength of SF 6 and the mixtures[J]. Journal of Xi'an Jiaotong University, 2013, 47(2): 109-115.
[15] Cekmen Z C, Dincer M S. Effective ionization coefficients and transport parameters in binary and ultradilute SF 6 -Ar mixtures using Boltzmann equation analysis[J]. Journal of Physics D: Applied Physics, 2009, 42(14): 145208.
[16] 赵虎, 李兴文, 贾申利, 等. 1个大气压下50%SF 6 - 50%CF 4 混合气体电击穿特性的研究[J]. 中国电机工程学报, 2013, 33(19): 200-207.
Zhao Hu, Li Xingwen, Jia Shenli, et al. Study of dielectric breakdown properties in 50%SF 6 -50%CF 4 mixtures at 1 atm[J]. Proceedings of the CSEE, 2013, 33(19): 200-207.
[17] White R, Robson R, Schmidt B, et al. Is the classical two-term approximation of electron kinetic theory satisfactory for swarms and plasmas?[J]. Journal of Physics D: Applied Physics, 2003, 36(24): 3125- 3131.
[18] Plasma data exchange project[OL]. http://www.lxcat. laplace.univ-tlse.fr.
[19] Pancheshnyi S, Biagi S, Bordage M C, et al. The lxcat project: Electron scattering cross sections and swarm parameters for low temperature plasma modeling[J]. Chemical Physics, 2012, 39(8): 148- 153.
[20] 严璋, 朱德恒. 高电压绝缘技术[M]. 北京: 中国电力出版社, 2002.
[21] Sattari P, Castle P. FEM-FCT based dynamic simulation of corona discharge in point-plane configuration[J]. IEEE Transactions on Industry Applications, 2010, 46(5): 1699-1705.
[22] Wormeester G. Probing photo-ionization: simulations of positive streamers in varying N 2 /O 2 mixtures[J]. Journal of Physics D: Applied Physics, 2010, 43(50): 1-13.
[23] Zheleznyak M B, Mnatsakanian A K, Sizykh S V. Photoionization of nitrogen and oxygen mixtures by radiation from gas discharge[J]. High Temperature, 1982, 20(3): 357-362.
[24] 庄池杰, 曾嵘. 短间隙流注放电数值仿真方法研究进展[J]. 中国电机工程学报, 2012, 32(22): 157- 164.
Zhuang Chijie, Zeng Rong. Research and deve- lopment on short gap streamer discharge simulation methods[J]. Proceedings of the CSEE, 2012, 32(22): 157-164.
[25] 李锰. 基于FEM-FCT法的SF 6 /N 2 混合气体流注电晕的仿真研究[D]. 长沙: 湖南大学, 2011.
[26] 李鑫涛, 林莘, 徐建源, 等. 基于FEM-FCT法的均匀电场下SF 6 气体击穿特性[J]. 高电压技术, 2014, 40(10): 3046-3053.
Li Xintao, Lin Xin,Xu Jianyuan, et al. Breakdown characteristics of SF 6 in uniform electric field using FEM-FCT[J]. High Voltage Engineering, 2014, 40(10): 3046-3053.
[27] 汪沨, 李锰, 潘雄峰, 等. 基于FEM-FCT算法的SF 6 /N 2 混合气体中棒-板间隙电晕放电特性的仿真研究[J]. 电工技术学报, 2013, 28(9): 261-266.
Wang Feng, Li Meng, Pan Xiongfeng, et al. Corona discharge simulations of rod-plate gap in SF 6 /N 2 gas mixtures using FEM-FCT method[J]. Transactions of China Electrotechnical Society, 2013, 28(9): 261- 266.
[28] Mariani S, Martini R, Ghisi A. A finite element flux corrected transport method for wave propagation in heterogeneous solids[J]. Algorithms, 2009, 2(1): 1-18.
[29] 邢卫军, 张国强, 李康, 等. C 4 F 8 /N 2 混合气体局部放电特性实验研究[J]. 中国电机工程学报, 2011, 31(7): 119-124.
Xing Weijun, Zhang Guoqiang, Li Kang, et al. Experimental study of partial discharge characteri- stics of C 4 F 8 /N 2 mixtures[J]. Proceedings of the CSEE, 2011, 31(7): 119-124.
[30] Yamamoto O, Takuma T, Hamada S, et al. Applying a gas mixture containing c-C 4 F 8 as an insulation medium[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2001, 8(6): 1075-1081.