飞行器沉积静电充电电流计算方法

童晨; 李海龙; 尚嘉伟; 段泽民; 司晓亮; 李志宝; 黄业园; 孙国庆; 颜伟; 仇善良

doi:10.13224/j.cnki.jasp.20220633

飞行器沉积静电充电电流计算方法

doi: 10.13224/j.cnki.jasp.20220633

童晨¹,
李海龙²,
尚嘉伟²,
段泽民^{1, 3, 4},
司晓亮^{3, 4},
李志宝^{3, 4},
黄业园^{3, 4},
孙国庆¹,
颜伟¹,
仇善良^{3, 4,*, ,}

1.
合肥工业大学电气与自动化工程学院，合肥 230009
2.
航空工业第一飞机设计研究院航电系统设计研究所，西安 710089
3.
强电磁环境防护技术航空科技重点实验室，合肥 230031
4.
安徽省飞机雷电防护重点实验室，合肥 230031

基金项目: 国家重大专项（J2019-Ⅷ-0009-0170，MJZ5-2N22）

详细信息

作者简介:
童晨（1995-），男，博士生，主要从事脉冲功率技术、电流磁场测量相关研究

通讯作者:
仇善良（1983-），男，副研究员，博士，研究领域为复杂电磁环境效应分析及仿真。E-mail：wobenshanliang1983@163.com

中图分类号: V19；O441.4
计量
- 文章访问数: 11
- HTML浏览量: 13
- PDF量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2022-08-29
- 网络出版日期: 2024-03-04

Calculation method of deposition electrostatic charging current for aircraft

TONG Chen¹,
LI Hailong²,
SHANG Jiawei²,
DUAN Zemin^{1, 3, 4},
SI Xiaoliang^{3, 4},
LI Zhibao^{3, 4},
HUANG Yeyuan^{3, 4},
SUN Guoqing¹,
YAN Wei¹,
QIU Shanliang^{3, 4,*
, ,}

1.
School of Electrical and Automation，Hefei University of Technology，Hefei 230009，China
2.
Avionics System Design Institute，First Aircraft Design and Research Institute of Aviation Industry，Xi’an 710089，China
3.
Aviation Key Laboratory of Science and Technology on High Intensity Electromagnetic Environment Protection，Hefei 230031，China
4.
Anhui Provincial Aircraft Lightning Protection Laboratory，Hefei 230031，China

摘要

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。
- 沉积静电 /
- 充电电流密度 /
- 飞行器 /
- 有效面积系数 /
- 湍流模型
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%.
- deposition electrostatic /
- charging current density /
- aircraft /
- effective area coefficient /
- turbulence model

HTML

图 1 仿真端口设置

Figure 1. Simulation port setup

下载: 全尺寸图片幻灯片

图 2 网格质量图

Figure 2. Grid quality diagram

下载: 全尺寸图片幻灯片

图 3 不同粒子面密度对有效投影面积的影响

Figure 3. Effect of different particle concentrations on effective projected area

下载: 全尺寸图片幻灯片

图 4 近地面Ma=0.8时50 μm粒子平均碰撞速度

Figure 4. Average collision velocity of 50 μm particles at Ma=0.8 near ground

下载: 全尺寸图片幻灯片

图 5 近地面Ma=0.8时50 μm粒子碰撞个数

Figure 5. Number of 50 μm particle collisions at Ma=0.8 near ground

下载: 全尺寸图片幻灯片

图 6 粒子直径对充电电流密度的影响

Figure 6. Effect of particle diameter on charging current density

下载: 全尺寸图片幻灯片

图 7 单粒子起电量与碰撞个数和高度的关系

Figure 7. Relationship between single particle charge amount and collision number and height

下载: 全尺寸图片幻灯片

图 8 不同马赫数下粒子碰撞速度与有效投影面积的关系

Figure 8. Relationship between particle collision velocity and effective projected area at different Mach numbers

下载: 全尺寸图片幻灯片

图 9 粒子在流场作用下运动轨迹的改变

Figure 9. Change of particle’s trajectory under action of flow field

下载: 全尺寸图片幻灯片

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
充电总电流/ μA	$n_{\mathrm{p}} $/10⁴ （个/m³）	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
充电电流密度/ （μA/m²）	$n_{\mathrm{p}} $/10⁴ （个/m³）	5	1.92	12	73	395

下载: 导出CSV

参考文献(23)

[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.1007-7820.2011.02.022 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.1007-7820.2011.02.022
[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 Chinese 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 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 Chinese 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 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 Chinese LUO 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 Chinese 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 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 Chinese SHI 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 Chinese WANG 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 Chinese 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 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 Chinese 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 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 Chinese 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 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 Chinese 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 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.1671-1815.2021.08.003 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.1671-1815.2021.08.003
[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.2021.01.006 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.2021.01.006
[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 Chinese 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 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 Chinese YUAN 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 Chinese 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 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 Chinese 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 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 Chinese 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 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 Chinese ZENG 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.