SF_6/N_2和SF_6/CF_4混合气体放电参数计算分析
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摘要
为研究SF_6混合气体的放电参数特性,文中通过两项近似求解Boltzmann方程得到温度为300 K,不同混合比下SF_6/N_2、SF_6/CF_4的电子能量分布函数(EEDF)、折合电离系数α/N、折合吸附系数η/N和折合有效电离系数(α-η)/N,与其他文献结果对比,验证了该计算方法与放电参数的有效性。结果表明:SF_6/N_2、SF_6/CF_4两种混合气体都随折合场强E/N增大时,在较低电子能量区域的EEDF减小而在较高电子能量区域的EEDF增大,且SF_6/N_2混合气体在电子能量为3 e V附近存在EEDF的骤降现象,该现象与N_2的碰撞参数截面有关,而SF_6/CF_4混合气体不存在此现象;此外,SF_6/N_2、SF_6/CF_4两种混合气体随着折合场强E/N增大,折合电离系数α/N显著增大、折合吸附系数η/N减小,最终折合有效电离反应系数(α-η)/N也均随之增加。
To study the discharge parameter characteristics of SF_6 mixtures,with the"two-term"approximation to solve the Boltzmann equation,the discharge parameters of different mixing ratio of SF_6/N_2,SF_6/CF_4 mixtures can be acquired including the electron energies distribution function(EEDF),the equivalent ionization coefficient(α/N) and the equivalent attachment coefficient(η/N),as well as the equivalent effective ionization coefficient. The effectiveness of the calculation method and results are proved by comparing with other experimental data. Results show that with an increase in E/N,the EEDF of the two mixtures in low-energy region decreases,while the EEDF in the high-energy region increases. The EEDF of SF_6/N_2 gas mixtures frequently decreases at electron energy of3 e V. This phenomenon is related to the collision parameters of N_2,but don't exist in SF_6/CF_4 gas mixtures. When E/N is increased,the equivalent ionization coefficients of both mixtures have a significant increase with the attachment coefficient reduced,and the equivalent effective ionization coefficient also increases.
To study the discharge parameter characteristics of SF_6 mixtures,with the"two-term"approximation to solve the Boltzmann equation,the discharge parameters of different mixing ratio of SF_6/N_2,SF_6/CF_4 mixtures can be acquired including the electron energies distribution function(EEDF),the equivalent ionization coefficient(α/N) and the equivalent attachment coefficient(η/N),as well as the equivalent effective ionization coefficient. The effectiveness of the calculation method and results are proved by comparing with other experimental data. Results show that with an increase in E/N,the EEDF of the two mixtures in low-energy region decreases,while the EEDF in the high-energy region increases. The EEDF of SF_6/N_2 gas mixtures frequently decreases at electron energy of3 e V. This phenomenon is related to the collision parameters of N_2,but don't exist in SF_6/CF_4 gas mixtures. When E/N is increased,the equivalent ionization coefficients of both mixtures have a significant increase with the attachment coefficient reduced,and the equivalent effective ionization coefficient also increases.
引文
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[2]林莘,李鑫涛,徐建源,等.均匀电场下SF6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 SF6breakdown voltages and spectral experiment in uniform electric fields[J].Proceedings of the CSEE,2016,36(1):301-309.
[3]HOSHINA Y,SATO M,MURASE H,et al.Dielectric properties of SF6/N2gas mixtures on a full scale model of the gas-insulated busbar[C]//Power Engineering Society Winter Meeting.Singapore:IEEE,2000:2129-2134.
[4]OKUBO H,YAMADA T,HATTA K,et al.Partial discharge and breakdown mechanisms in ultra-dilute SF6and PFC gases mixed with N2gas[J].Journal of Physics DApplied Physics,2002,35(21):2760-2765.
[5]刘雪丽.SF6替代气体的蒙特卡罗模拟与实验研究[D].上海:上海交通大学,2008.LIU Xueli.Monte carlo simulation and experiment study on the alternative gases of SF6[D].Shanghai:Shanghai Jiao Tong University,2008.
[6]邱毓昌,冯允平.SF6/N2混合气体绝缘强度的计算[J].中国电机工程学报,1993,13(s1):57-62.QIU Yuchang,FENG Yunping.Calculation of dielectric strength of SF6/N2mixtures[J].Proceedings of the CSEE,1993,13(s1):57-62.
[7]徐国政,李庆民,张杰荣.SF6/CF4作为变压器的冷却和绝缘介质的研究[J].清华大学学报(自然科学版),1997,37(9):16-19.XU Guozheng,LI Qingmin,ZHANG Jierong.Study of SF6/CF4as cooling and insulating medium transformer[J].Journal of Tsinghua University(Natural Science),1997,37(9):16-19.
[8]杨冬.SF6、N2及其混合气体绝缘特性实验研究[D].哈尔滨:哈尔滨理工大学,2006.YANG Dong.Experimental research of electrical insulating characteristics about SF6、N2and their mixtures[D].Harbin:Harbin University of Science and Technology,2006.
[9]赵虎,李兴文,贾申利,等.1个大气压下50%SF6-50%CF4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%SF6-50%CF4mixtures at1 atm[J].Proceedings of the CSEE,2013,33(19):200-207.
[10]赵虎,李兴文,贾申利.SF6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 SF6and the mixtures[J].Journal of Xi’an Jiaotong University,2013,47(2):109-115.
[11]HAGELAAR G M,PITCHFORD L C.Solving the boltzmann equation to obtain electron transport coefficients and rate coefficients for fluid model[J].Plasma Science and Technology,2005,14(4):722-733.
[12]CEKMEN Z C,DINCER M S.Effective ionization coefficients and transport parameters in binary and ultradilute SF6-Ar mixtures using Boltzmann equation analysis[J].Journal of Physics D-Applied Physics,2009,42(14):145208.
[13]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 DApplied Physics,2003,36(24):3125-3131.
[14]刘兴华,何为,杨帆,等.空气放电中电子输运参数的计算与分析[J].高电压技术,2011,37(7):1614-1619.LIU Xinghua,HE Wei,YANG Fan,et al.Simulation and analysis of electron transport parameters in air discharge[J].High Voltage Engineering,2011,37(7):1614-1619.
[15]HAGELAAR G,PITCHFORD L.Solving the boltzmann equation to obtain electron transport coefficientsand rate coefficients for fluid models[J].Plasma Sources Science and Technology,2005,14(4):722-733.
[16]Plasma data exchange project[EB/OL].http://www.lxcat.laplace.univ-tlse.fr.,2016-09-12.
[17]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,2012,398(8):148-153.