Abstract:For atmospheric micro-scale arc discharge, the near cathode region plays a crucial role in exploring the energy transport of arc plasma from the arc column region to the cathode surface with significant non-local equilibrium and space charge accumulation phenomenon. Detailed description of the kinetic characteristics of thermal microplasma in the near-cathode region is the key to understanding the micro-scale arc discharge mechanism. Recently, significant progress has been made in exploring the current transfer between arc plasma and refractory cathode by using fluid method. This method took the heat flux of plasma to the cathode surface as the nonlinear boundary condition to calculate the cathode temperature based on the heat conduction equation. However, due to the complex physical mechanism and small spatial scale in the near-cathode region, the experimental research is very difficult and the understanding of the energy transfer process involved in the cathode is not clear. Therefore, there is still no unified model and a generally accepted theory that can accurately calculate the cathode and near-cathode region. In this work, the energy and mass transport mechanism of atmospheric micro-scale arc discharge in the near-cathode region was studied. Firstly, a unified model including cathode and near-cathode region driven by a current source coupled with external circuit and nonlinear heat conduction was constructed. The changes of cathode temperature with total current density and heat flux with current were compared with the existing work for atmospheric DC argon arc discharge and atmospheric free burning arc to verify the model correctness. An implicit particle-in-cell coupled Monte Carlo collision (PIC-MCC) method was used to investigate the energy exchange process between thermal microplasma and cathode and between cathode and ambient gas. The temperature distribution of the cathode surface was calculated consistently, and the effects of radiation heat dissipation, natural convection heat dissipation, Joule heating and charged particle deposition heating on the energy transport characteristics of charged particles and the temperature of the cathode surface were quantitatively analyzed. The main conclusions can be drawn as follows: (1) Taking 2 000 K as the boundary temperature, the cathode temperature increases linearly in the region less than 2 000 K and nonlinearly in the region greater than 2 000 K. The electron emission current density increases exponentially on the cathode surface and reaches maximum at the right end of the cathode. The particle energy distribution function deviates from the Maxwell distribution in the sheath. EEDF shows the multi-peak distribution and IEDF shows the dual-energy group distribution. (2) When the total current densities were 5×106 A/m2 and 107 A/m2, the potential fall in the near cathode region is about 16.62 V and 18.21 V, which is consistent with the typical characteristics of low voltage and high current density of arc plasma. The maximum ion average temperature occurs at the cathode, which is 3.46 eV and 11.75 eV respectively, which is much higher than the cathode temperature. (3) The heating of charged particles deposited on the cathode surface is the main factor to increase the cathode temperature. The heat flux of ions deposited on the cathode is higher than that of electrons, indicating that the heating effect of ions on the cathode is larger than that of electrons. The heat flux of charged particles deposited on the cathode and heat flux carried away by electron emission increase exponentially with increasing cathode temperature. (4) Energy exchange between the cathode and the ambient gas include radiation and natural convection. In the region with electron emission, the energy loss caused by radiation is more prominent. In the region without electron emission, the energy loss by natural convection is more significant.
孙丽, 严嘉彤, 徐鸣, 吕瑞东. 大气压微尺度电弧放电近阴极区能质输运机理[J]. 电工技术学报, 2025, 40(21): 6795-6805.
Sun Li, Yan Jiatong, Xu Ming, Lü Ruidong. Energy and Mass Transport Mechanism of Atmospheric Micro-Scale Arc Discharge in the Near-Cathode Region. Transactions of China Electrotechnical Society, 2025, 40(21): 6795-6805.
[1] 刘洋, 章子潇, 赵贤根, 等. 进气流量对滑动电弧放电分解CO2的瞬态电-光-热特性和转化性能的影响[J]. 电工技术学报, 2024, 39(23): 7616-7627. Liu Yang, Zhang Zixiao, Zhao Xiangen, et al.The effect of inlet flow rate on the transient electrical- optical thermal characteristics and conversion perfor- mance of CO2 decomposition in gliding arc discharges[J]. Transactions of China Electrotechnical Society, 2024, 39(23): 7616-7627. [2] 柯学, 王安阳, 刘伟, 等. CF3SO2F及其混合气体电弧等离子体粒子组分与物性参数计算[J]. 电工技术学报, 2024, 39(19): 6145-6161. Ke Xue, Wang Anyang, Liu Wei, et al.Calculation of particle composition and physical property parameters of arc plasma particles of CF3SO2F and its gas mixtures[J]. Transactions of China Electrotechnical Society, 2024, 39(19): 6145-6161. [3] 王海涛, 王彦岭, 李书舸, 等. 不同电流下Ce掺杂AgCuO触头材料转移行为研究[J]. 电工技术学报, 2025, 40(2): 574-586. Wang Haitao, Wang Yanling, Li Shuge, et al.Study of materials transfer behavior of Ce-doped AgCuO contact materials at different current levels[J]. Trans- actions of China Electrotechnical Society, 2025, 40(2): 574-586. [4] 夏翔, 路兴帅, 魏迪, 等. SiO2气凝胶和纳米TiO2填充水性聚氨酯改性聚酰亚胺在电弧防护上的应用[J]. 绝缘材料, 2024, 57(10): 91-97. Xia Xiang, Lu Xingshuai, Wei Di, et al.Application of polyimide modified by nano SiO2 aerogel and nano TiO2 filled waterborne polyurethane in arc protection[J]. Insulating Materials, 2024, 57(10): 91-97. [5] 李辰辉, 褚继峰, 龙潇, 等. 基于弧触头接触振动特征分析的高压SF6断路器电寿命在线监测方法[J]. 电工技术学报, 2024, 39(15): 4883-4895. Li Chenhui, Chu Jifeng, Long Xiao, et al.Online monitoring method of electrical life of high voltage SF6 circuit breaker based on analysis of arcing contact vibration characteristics[J]. Transactions of China Electrotechnical Society, 2024, 39(15): 4883-4895. [6] 薄祥来, 刘思远, 谢洪涛, 等. CuCr55电极触头真空电弧燃弧与烧蚀特性[J]. 高压电器, 2024, 60(4): 1-9. Bo Xianglai, Liu Siyuan, Xie Hongtao, et al.Vacuum arc ignition and ablation characteristics of CuCr55 electrode contacts[J]. High Voltage Apparatus, 2024, 60(4): 1-9. [7] 翟雨佳, 刘浩, 戴昀翔, 等. 并联电容器组干式空心电抗器匝间电弧性短路故障监测及保护[J]. 电气工程学报, 2025, 20(3): 290-299. Zhai Yujia, Liu Hao, Dai Yunxiang, et al.Monitoring and protection of inter-turn arc short circuit fault in dry-type air-core reactors of shunt capacitor bank[J]. Journal of Electrical Engineering, 2025, 20(3): 290-299. [8] 赵泽洋, 肖慈恩, 刘亚坤, 等. 接闪阳极参数对雷电弧材料损伤数值分析的影响[J]. 电工技术学报, 2024, 39(5): 1486-1496. Zhao Zeyang, Xiao Cien, Liu Yakun, et al.Influence of anode on numerical analysis of arc-material interactions with multi-field coupling in lightning damage[J]. Transactions of China Electrotechnical Society, 2024, 39(5): 1486-1496. [9] Sun Li, Li Zengyao, Xu Ming.Energy and mass transport properties in the near-cathode region of atmospheric thermal plasma[J]. Journal of Physics D: Applied Physics, 2024, 57(9): 095201. [10] Sun Li, Sun Xianpin, Zhou Wen, et al.Studies on plasma transport processes in the cathode sheath of atmospheric direct-current arc discharge with particle- in-cell and Monte Carlo collision simulation[J]. Physics of Plasmas, 2023, 30(3): 033508. [11] Lee T H, Greenwood A.Theory for the cathode mechanism in metal vapor arcs[J]. Journal of Applied Physics, 1961, 32(5): 916-923. [12] Morrow R, Lowke J J.A one-dimensional theory for the electrode sheaths of electric arcs[J]. Journal of Physics D: Applied Physics, 1993, 26(4): 634. [13] Guo Heng, Wu Guiqing, Li Heping, et al.Three- dimensional non-equilibrium modeling on the charac- teristics of the dual-jet direct-current arc plasmas[J]. Plasma Chemistry and Plasma Processing, 2015, 35(1): 75-89. [14] Cayla F, Freton P, Gonzalez J J.Arc/cathode interaction model[J]. IEEE Transactions on Plasma Science, 2008, 36(4): 1944-1954. [15] Almeida N A, Benilov M S, Naidis G V.Unified modelling of near-cathode plasma layers in high- pressure arc discharges[J]. Journal of Physics D: Applied Physics, 2008, 41(24): 245201. [16] Benilov M S, Naidis G V.Asymptotic calculation of escape factor in atomic plasmas[J]. Journal of Physics D: Applied Physics, 2005, 38(19): 3599-3608. [17] Benilov M S, Naidis G V, Lj Petrovic Z, et al.Escape factors for thermionic cathodes in atomic gases in a wide electric field range[J]. Journal of Physics D: Applied Physics, 2006, 39(14): 2959-2963. [18] Haidar J.Non-equilibrium modelling of transferred arcs[J]. Journal of Physics D: Applied Physics, 1999, 32(3): 263. [19] Benilov M S, Bochkarev G G, Rogov B V.Modeling of diffuse current transfer in a near-electrode layer of the high-pressure molecular plasma[J]. IEEE Trans- actions on Plasma Science, 1995, 23(4): 742-749. [20] Benilov M S, Cunha M D.Heating of refractory cathodes by high-pressure arc plasmas:Ⅰ[J]. Journal of Physics D: Applied Physics, 2002, 35(14): 1736. [21] Allen R D, Glasier L F Jr, Jordan P L. Spectral emissivity, total emissivity, and thermal conductivity of molybdenum, tantalum, and tungsten above 2300 K[J]. Journal of Applied Physics, 1960, 31(8): 1382-1387. [22] Sun Li, Sun Xianpin, Guo Biying, et al.Unified modeling and kinetic analysis of the near-cathode region and hot cathode in atmospheric-pressure arc discharges[J]. Physics of Fluids, 2022, 34(6): 067120. [23] Verboncoeur J P, Alves M V, Vahedi V, et al.Simultaneous potential and circuit solution for 1D bounded plasma particle simulation codes[J]. Journal of Computational Physics, 1993, 104(2): 321-328. [24] Zhang Ya, Wang Hongyu, Jiang Wei, et al.Two- dimensional particle-in cell/Monte Carlo simulations of a packed-bed dielectric barrier discharge in air at atmospheric pressure[J]. New Journal of Physics, 2015, 17(8): 083056. [25] 姜巍. 射频容性耦合等离子体的两维隐格式PIC/ MC模拟[D]. 大连: 大连理工大学, 2010. Jiang Wei.Two-dimensional implicit PIC/MC simula- tions for radio-frequency capacitively coupled plasmas [D]. Dalian: Dalian University of Technology, 2010. [26] Zhou Wen, Guo Heng, Jiang Wei, et al. Particle- in-cell and Monte Carlo collision simulations of the cathode sheath in an atmospheric direct-current arc discharge[J]. Plasma Sources Science and Technology, 2016, 25(5): 05LT01. [27] Benilov M S.Nonlinear surface heating of a plane sample and modes of current transfer to hot arc cathodes[J]. Physical Review E, 1998, 58(5): 6480-6494. [28] Li Heping, Benilov M S.Effect of a near-cathode sheath on heat transfer in high-pressure arc plasmas[J]. Journal of Physics D: Applied Physics, 2007, 40(7): 2010. [29] Baeva M, Loffhagen D, Uhrlandt D.Unified non- equilibrium modelling of tungsten-inert gas microarcs in atmospheric pressure argon[J]. Plasma Chemistry and Plasma Processing, 2019, 39(6): 1359-1378. [30] 周雯. 阴极表面电子发射对大气压微尺度热等离子体输运特性影响的粒子模拟[D]. 西安: 西安交通大学, 2020. Zhou Wen.Particle simulation of influences of the cathode surface electron emission on the transport characteristics of atmospheric microscale thermal plasmas[D]. Xi'an: Xi'an Jiaotong University, 2020.