Calculation method of deposition electrostatic charging current for aircraft
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摘要:
创新性地利用有效投影面积的概念来计算有效面积系数
K 。在Comsol软件中利用Spalart-Allmaras(S-A)湍流模型与粒子曳力模型改进了标准中的计算公式,以某型飞机为例进行了流场及粒子追踪仿真。结果发现粒子直径越大,有效投影面积越大;飞行速度高,粒子碰撞数量越多;随着巡航高度的增加充电电流密度增加。最终得出飞机的充电电流密度最大为395 μA/m2,与实际观测值接近误差在1.25%以内。Abstract:The effective area coefficient
K was calculated using the concept of effective projected area. In Comsol software, the Spalart-Allmaras (S-A) turbulence model and particle drag model were used to improve the calculation formula in the standard, and a certain type of aircraft was used as an example to simulate the flow field and particle tracking. It was found that the larger particle diameter indicated the larger effective projected area; the higher flight speed indicated the more number of particle collisions; the charging current density increased with the rise of the cruising altitude. Finally, it was concluded that the maximum charging current density of the aircraft was 395 μA/m2, which was very close to the actual observation value and the error was within 1.25%. -
表 1 不同粒子直径的充电电流密度计算
Table 1. Calculation of charging current density with different particle diameters
参数 数值 粒子直径/μm 50 100 200 400 平均碰撞速度/(m/s) 184 189 206 226 单粒子起电量/pC 0.5 2.2 9.8 43.3 粒子碰撞个数 5136 8013 10867 13393 有效迎风面积/m2 10.2 16.0 21.7 26.7 充电
总电流/
μA$n_{\mathrm{p}} $/104
(个/m3)2 30 197 1169 6322 5 77 494 2922 15807 充电
电流密度/
(μA/m2)$n_{\mathrm{p}} $/104
(个/m3)2 0.77 4 29 158 5 1.92 12 73 395 -
[1] 杨剑,张鹏. 飞机电磁兼容性试验与试飞研究[J]. 电子科技,2011,24(2): 66-69. YANG Jian,ZHANG Peng. Study of the electromagnetic compatibility trial and flight test of aircraft[J]. Electronic Science and Technology,2011,24(2): 66-69. (in Chinese doi: 10.3969/j.issn.1007-7820.2011.02.022YANG Jian, ZHANG Peng. Study of the electromagnetic compatibility trial and flight test of aircraft[J]. Electronic Science and Technology, 2011, 24(2): 66-69. (in Chinese) doi: 10.3969/j.issn.1007-7820.2011.02.022 [2] 王春,宋文武,潘涵. 固定翼飞机静电分布及电容求解[J]. 河北大学学报(自然科学版),2008,28(5): 490-493. WANG Chun,SONG Wenwu,PAN Han. Investigation on electrostatic charge distribution and capacitance solving of fixed wing aircraft[J]. Journal of Hebei University (Natural Science Edition),2008,28(5): 490-493. (in ChineseWANG Chun, SONG Wenwu, PAN Han. Investigation on electrostatic charge distribution and capacitance solving of fixed wing aircraft[J]. Journal of Hebei University (Natural Science Edition), 2008, 28(5): 490-493. (in Chinese) [3] 刘尚合,孙国至. 复杂电磁环境内涵及效应分析[J]. 装备指挥技术学院学报,2008,19(1): 1-5. LIU Shanghe,SUN Guozhi. Analysis of the concept and effects of complex electromagnetic environment[J]. Journal of the Academy of Equipment Command & Technology,2008,19(1): 1-5. (in ChineseLIU Shanghe, SUN Guozhi. Analysis of the concept and effects of complex electromagnetic environment[J]. Journal of the Academy of Equipment Command & Technology, 2008, 19(1): 1-5. (in Chinese) [4] 罗强. 飞机沉积静电电荷分布的研究和应用[D]. 西安: 西安石油大学,2018. LUO Qiang. Study and application of precipitation electrostatic charge distribution on aircraft[D]. Xi’an: Xi’an Shiyou University,2018. (in ChineseLUO Qiang. Study and application of precipitation electrostatic charge distribution on aircraft[D]. Xi’an: Xi’an Shiyou University, 2018. (in Chinese) [5] 张靖,司晓亮,仇善良,等. 飞机静电放电刷静电放电特性的试验研究[J]. 合肥工业大学学报(自然科学版),2018,41(1): 40-44,70. ZHANG Jing,SI Xiaoliang,QIU Shanliang,et al. Test research on electrostatic discharging characteristic of aircraft static discharger[J]. Journal of Hefei University of Technology (Natural Science),2018,41(1): 40-44,70. (in ChineseZHANG Jing, SI Xiaoliang, QIU Shanliang, et al. Test research on electrostatic discharging characteristic of aircraft static discharger[J]. Journal of Hefei University of Technology (Natural Science), 2018, 41(1): 40-44, 70. (in Chinese) [6] 石国德. 300 kV飞机静电放电试验方法研究[D]. 沈阳: 沈阳航空航天大学,2013. SHI Guode. The study of test method in 300 kV aircraft electrostatic discharge[D]. Shenyang: Shenyang Aerospace University,2013. (in ChineseSHI Guode. The study of test method in 300 kV aircraft electrostatic discharge[D]. Shenyang: Shenyang Aerospace University, 2013. (in Chinese) [7] 王立新. MIL-D-9129B飞机静电放电器通用规范[J]. 航空标准化,1980(4): 38-41. WANG Lixin. General specification for MIL-D-9129B aircraft electrostatic discharger[J]. Aeronautic Standardization & Quality,1980(4): 38-41. (in ChineseWANG Lixin. General specification for MIL-D-9129B aircraft electrostatic discharger[J]. Aeronautic Standardization & Quality, 1980(4): 38-41. (in Chinese) [8] 任明,夏昌杰,陈荣发,等. 局部放电多光谱比值特征分析方法[J]. 中国电机工程学报,2023,43(2): 809-819. REN Ming,XIA Changjie,CHEN Rongfa,et al. Multispectral ratio characteristics analysis of partial discharge[J]. Proceedings of the CSEE,2023,43(2): 809-819. (in ChineseREN Ming, XIA Changjie, CHEN Rongfa, et al. Multispectral ratio characteristics analysis of partial discharge[J]. Proceedings of the CSEE, 2023, 43(2): 809-819. (in Chinese) [9] 刘浩,刘尚合,魏明,等. 高空低气压电晕放电特性模拟试验研究[J]. 高电压技术,2015,41(5): 1704-1708. LIU Hao,LIU Shanghe,WEI Ming,et al. Research of corona discharge characteristics for low pressure at high altitude based on simulation experiments[J]. High Voltage Engineering,2015,41(5): 1704-1708. (in ChineseLIU Hao, LIU Shanghe, WEI Ming, et al. Research of corona discharge characteristics for low pressure at high altitude based on simulation experiments[J]. High Voltage Engineering, 2015, 41(5): 1704-1708. (in Chinese) [10] ILLINGWORTH A J,MARSH S J. Static charging of aircraft by collisions with ice crystals[J]. Revue De Physique Appliquée,1986,21(12): 803-808. [11] REVEL I,AKOUN G,SRITHAMMAVANH V,et al. Scalling of static dischargers on electric field modelling[R]. Seattle,US: Conference on Lightning and Static Electricity,2005. [12] 郑会志,胡小峰,杜照恒,等. 飞行器表面材料沉积静电成因分析及模拟试验[J]. 高电压技术,2011,37(10): 2612-2616. ZHENG Huizhi,HU Xiaofeng,DU Zhaoheng,et al. Primary analysis and simulation test on precipitation static of aerial vehicle surface material[J]. High Voltage Engineering,2011,37(10): 2612-2616. (in ChineseZHENG Huizhi, HU Xiaofeng, DU Zhaoheng, et al. Primary analysis and simulation test on precipitation static of aerial vehicle surface material[J]. High Voltage Engineering, 2011, 37(10): 2612-2616. (in Chinese) [13] 翟维鹏,胡小锋,周帅,等. 碰撞速度和碰撞角度对典型材料起电影响[J]. 兵工学报,2023,44(5): 1358-1364. ZHAI Weipeng,HU Xiaofeng,ZHOU Shuai,et al. Impact of collision speeds and angles on electrification of typical materials[J]. Acta Armamentarii,2023,44(5): 1358-1364. (in ChineseZHAI Weipeng, HU Xiaofeng, ZHOU Shuai, et al. Impact of collision speeds and angles on electrification of typical materials[J]. Acta Armamentarii, 2023, 44(5): 1358-1364. (in Chinese) [14] 方庆园,周江波,季启政,等. 飞行器表面沉积静电分布仿真[J]. 科学技术与工程,2021,21(8): 3006-3012. FANG Qingyuan,ZHOU Jiangbo,JI Qizheng,et al. Simulation on distribution of precipitation static on aircraft[J]. Science Technology and Engineering,2021,21(8): 3006-3012. (in Chinese doi: 10.3969/j.issn.1671-1815.2021.08.003FANG Qingyuan, ZHOU Jiangbo, JI Qizheng, et al. Simulation on distribution of precipitation static on aircraft[J]. Science Technology and Engineering, 2021, 21(8): 3006-3012. (in Chinese) doi: 10.3969/j.issn.1671-1815.2021.08.003 [15] 张力,张家俊,李鑫宇,等. 导弹静电放电效应及其防护装置应用研究[J]. 现代防御技术,2021,49(1): 40-46. ZHANG Li,ZHANG Jiajun,LI Xinyu,et al. Researh on electrostatic discharge effect of missile and application of protective device for it[J]. Modern Defence Technology,2021,49(1): 40-46. (in Chinese doi: 10.3969/j.issn.1009-086x.2021.01.006ZHANG Li, ZHANG Jiajun, LI Xinyu, et al. Researh on electrostatic discharge effect of missile and application of protective device for it[J]. Modern Defence Technology, 2021, 49(1): 40-46. (in Chinese) doi: 10.3969/j.issn.1009-086x.2021.01.006 [16] 段泽民,仇善良,司晓亮,等. 飞机静电放电器静电泄放性能的影响参数[J]. 高电压技术,2016,42(5): 1356-1362. DUAN Zemin,QIU Shanliang,SI Xiaoliang,et al. Parameters influencing the electrostatic discharge performance of aircraft static dischargers[J]. High Voltage Engineering,2016,42(5): 1356-1362. (in ChineseDUAN Zemin, QIU Shanliang, SI Xiaoliang, et al. Parameters influencing the electrostatic discharge performance of aircraft static dischargers[J]. High Voltage Engineering, 2016, 42(5): 1356-1362. (in Chinese) [17] 袁海环. 复合材料飞机沉积静电防护研究[J]. 科技创新导报,2019,16(8): 9-12. YUAN Haihuan. Study on electrostatic protection of composite aircraft deposition[J]. Science and Technology Innovation Herald,2019,16(8): 9-12. (in ChineseYUAN Haihuan. Study on electrostatic protection of composite aircraft deposition[J]. Science and Technology Innovation Herald, 2019, 16(8): 9-12. (in Chinese) [18] AE-2 Lightning Committee. Aircraft Precipitation Static Certification: SAE ARP 5672[S]. Warrendale,US: SAE International,2023. [19] 张程,夏智勋,马超,等. 基于k-ω SST模型的同心筒发射装置流场数值模拟[J]. 航空动力学报,2019,34(11): 2331-2338. ZHANG Cheng,XIA Zhixun,MA Chao,et al. Numerical simulation of flow field of concentric canister launcher based on k-ω SST turbulence model[J]. Journal of Aerospace Power,2019,34(11): 2331-2338. (in ChineseZHANG Cheng, XIA Zhixun, MA Chao, et al. Numerical simulation of flow field of concentric canister launcher based on k-ω SST turbulence model[J]. Journal of Aerospace Power, 2019, 34(11): 2331-2338. (in Chinese) [20] 刘通,蔡晋生,屈崑. 壁面粗糙度湍流扩展模型及流动数值模拟[J]. 航空动力学报,2018,33(8): 1981-1989. LIU Tong,CAI Jinsheng,QU Kun. Roughness for wall turbulence extension model and flow numerical simulation[J]. Journal of Aerospace Power,2018,33(8): 1981-1989. (in ChineseLIU Tong, CAI Jinsheng, QU Kun. Roughness for wall turbulence extension model and flow numerical simulation[J]. Journal of Aerospace Power, 2018, 33(8): 1981-1989. (in Chinese) [21] 张仪,王晓东,梁俊宇,等. 改进S-A湍流模型对横向射流的CFD模拟[J]. 航空动力学报,2017,32(11): 2761-2768. ZHANG Yi,WANG Xiaodong,LIANG Junyu,et al. CFD simulations of jet in cross-flow with modified S-A turbulence model[J]. Journal of Aerospace Power,2017,32(11): 2761-2768. (in ChineseZHANG Yi, WANG Xiaodong, LIANG Junyu, et al. CFD simulations of jet in cross-flow with modified S-A turbulence model[J]. Journal of Aerospace Power, 2017, 32(11): 2761-2768. (in Chinese) [22] 曾宇,汪洪波,孙明波,等. SST湍流模型改进研究综述[J]. 航空学报,2023,44(9): 027411. ZENG Yu,WANG Hongbo,SUN Mingbo,et al. SST turbulence model improvements: review[J]. Acta Aeronautica et Astronautica Sinica,2023,44(9): 027411. (in ChineseZENG Yu, WANG Hongbo, SUN Mingbo, et al. SST turbulence model improvements: review[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(9): 027411. (in Chinese) [23] 中华人民共和国航空工业部. 飞行大气参数: HB6127-86[S]. 北京: 航空工业出版社,1986. -