一种无线电引信腔体屏蔽效能计算方法

doi:10.12382/bgxb.2021.0888

摘要/Abstract

摘要：

无线电引信内部空间有限,难以通过试验测量其腔体电磁屏蔽效能(Shielding Effectiveness, SE)。为分析引信腔体对强电磁脉冲的防护效果,提出一种基于电磁拓扑理论和Baum-Liu-Tesche(BLT)方程的SE计算方法。该方法通过分析能量流动特性建立腔体传播矩阵,利用等效电路模型计算腔体散射矩阵,推导得出腔内能量传输的拓展BLT方程,进而求得各拓扑节点的电压值。使用CST软件验证该方法的有效性,分别对矩形天线窗模型、圆形天线窗模型、双面圆孔模型和含介质基板模型的腔体电磁SE进行计算,并通过相关系数对计算结果量化分析。研究结果表明,新方法的计算精度优于等效电路法,且占用计算内存低于CST软件,可用于引信圆柱腔体电磁SE分析。

关键词: 无线电引信, 电磁拓扑, 电磁屏蔽效能

Abstract:

The internal space of radio fuzes is limited, making it difficult to measure the electromagnetic shielding effectiveness (SE) of their cavity through experiments. To analyze the SE of the radio fuze cavity under the circumstance of a strong electromagnetic pulse, a calculation method on electromagnetic topology theory and Baum-Liu-Tesche (BLT) equation is proposed in this paper. This method establishes the cavity propagation matrix by analyzing the energy flow characteristics, calculates the cavity scattering matrix by using the equivalent circuit model, deduces the extended BLT equation of energy transmission in the cavity, and then obtains the voltage value of each topological node. The effectiveness of this method is verified using CST software. The SE of various models, including the rectangular antenna window model, circular antenna window model, double-sided circular hole model, and dielectric substrate model, is calculated. The calculation results are analyzed quantitatively using the correlation coefficient, and the results show that the calculation accuracy of the proposed method is better than that of the equivalent circuit method. The needed calculation memory is lower than that of the CST software. This method can be used to analyze the SE of fuzes with cylindrical cavities.

Key words: radio fuze, electromagnetic topology, electromagnetic shielding effectiveness

陈凯柏, 高敏, 周晓东, 毕军建, 王毅. 一种无线电引信腔体屏蔽效能计算方法[J]. 兵工学报, 2023, 44(4): 1200-1208.

CHEN Kaibai, GAO Min, ZHOU Xiaodong, BI Junjian, WANG Yi. A Method for Calculating the Shielding Effectiveness of Radio Fuze Cavity[J]. Acta Armamentarii, 2023, 44(4): 1200-1208.

图/表 18

图1 简化引信腔体模型

Fig.1 Simplified fuze cavity model

图2 引信腔体等效电路

Fig.2 Equivalent fuze cavity circuit

图3 引信腔体电磁拓扑模型

Fig.3 Electromagnetic topology model of fuze cavity

表1 腔体模型参数

Table 1 Model parameters of the cavitymm

模型参数	数值
r	80
d	150
t	1
l	20
w	20
p	80

图4 矩形天线窗计算结果

Fig.4 Calculation results of the rectangular antenna window

图5 重采样曲线与原曲线对比

Fig.5 Comparison between the resampling curve and original curve

表2 矩形天线窗SE曲线相关性系数

Table 2 Correlation coefficient of the SE curve of the rectangular antenna window

计算方法	ρ_X_,_Y
本文方法	0.9425
等效电路法	0.8643

表3 腔体模型参数

Table 3 Model parameters of the cavitymm

模型参数	数值
r	80
d	150
t	1
r_a	10
p	80

图6 圆形天线窗计算结果

Fig.6 Calculation results of the circular antenna window

表4 圆形天线窗SE曲线相关性系数

Table 4 Correlation coefficient of the SE curve of the circular antenna window

计算方法	ρ_X_,_Y
本文方法	0.9573
等效电路法	0.8773

图7 双面孔等效电路模型

Fig.7 Equivalent circuit model of the double-sided perforated cavity

图8 双面孔能量流动模型

Fig.8 Energy flow model of the double-sided perforated cavity

图9 双面圆孔计算结果

Fig.9 Calculation results of the double-sided circular hole

表5 双面圆孔模型SE曲线相关性系数

Table 5 Correlation coefficient of the SE curve of the double-sided circular hole

计算方法	ρ_X_,_Y
本文方法	0.9445
等效电路法	0.8749

图10 含介质基板腔体电路模型

Fig.10 Circuit model of the cavity containing dielectric substrate

图11 含介质基板腔体能量流动模型

Fig.11 Energy flow model of the cavity containing dielectric substrate

图12 含介质基板腔体计算结果

Fig.12 Calculation results of the cavity containing dielectric substrate

表6 含介质基板模型SE曲线相关性系数

Table 6 Correlation coefficient of the SE curve of the model containing dielectric substrate

计算方法	p₁/mm
计算方法	5	10
本文方法	0.9715	0.9163
等效电路法	0.9271	0.9102

参考文献 20

[1]	ARORA V K. Proximity fuzes theory and techniques[M]. New Delhi, India: Defence Research & Development Organisation, 2010: 1-2.
[2]	DAO X Y, GAO M, CHEN K B. Minimum correlation estimation of leakage and echo signals for FMCW radar[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2020, 67(10): 2294-2298. doi: 10.1109/TCSII.8920 URL
[3]	陈凯柏, 高敏, 周晓东, 等. 调频连续波引信高功率微波前门耦合效应研究[J]. 兵工学报, 2020, 41(5):881-889. doi: 10.3969/j.issn.1000-1093.2020.05.007
	CHEN K B, GAO M, ZHOU X D, et al. Front-door coupling effect of ultra-wideband electromagnetic pulse for FMCW fuze[J]. Acta Armamentarii, 2020, 41(5):881-889. (in Chinese)
[4]	MATS G B, LOVSTRAN K. Susceptibility of electronic systems to high-power microwaves: summary of test experience[J]. IEEE Transactions on Electromagnetic Compatibility, 2004, 46, 396-403. doi: 10.1109/TEMC.2004.831814 URL
[5]	ZHANG J D, GE X J, FAN Y W, et al. Research progresses on Cherenkov and transit-time high-power microwave sources at NUDT[J]. Matter and Radiation at Extremes, 2016, 1:163-178. doi: 10.1016/j.mre.2016.04.001 URL
[6]	ZHANG J, ZHANG D, FAN Y W, et al. Progress in narrowband high-power microwave sources[J]. Physics of Plasmas, 2020, 27: 010501. doi: 10.1063/1.5126271 URL
[7]	FISAHN S, KOJ S, GARBE H. Analysis of the coupling of electromagnetic pulses into shielded enclosures of vulnerable systems[J]. Advances in Radio Science, 2019, 16: 215-226. doi: 10.5194/ars-16-215-2019 URL
[8]	闫二艳, 孟凡宝, 马弘舸. 微波混沌腔体中的散射特性研究[J]. 物理学报, 2010, 59(3):1568-1575.
	YAN E Y, MENG F B, MA H G. Research on scattering in microwave chaotic cavity[J]. Acta Physica Sinica, 2010, 59(3):1568-1575. (in Chinese) doi: 10.7498/aps URL
[9]	刘璐瑶, 马弘舸, 蔡金良. 基于随机拓扑的复杂腔体电磁辐射统计特性[J]. 强激光与粒子束, 2017, 29(9):104-108.
	LIU L Y, MA H G, CAI J L. Statistical characteristics of electromagnetic radiation for complex cavities based on random topology model[J]. High Power Laser and Particle Beams, 2017, 29(9):104-108. (in Chinese)
[10]	郝建红, 潘慧东, 范杰清. 基于时间门方法的随机耦合模型在复杂腔体电磁预测中的应用[J]. 电波科学学报, 2021, 36(1): 61-67.
	HAO J H, PAN H D, FAN J Q. Application of random coupling model based on time gating method in electromagnetic prediction of complex cavity[J]. Chinese Journal of Radio Science, 2021, 36(1): 61-67. (in Chinese)
[11]	BRUNS H D, SCHUSTER C, SINGER H. Numerical electromagnetic field analysis for EMC problems[J]. IEEE Transactions on Electromagnetic Compatibility, 2007, 49(2): 253-262. doi: 10.1109/TEMC.2007.897152 URL
[12]	HOFER, JR W. The transmission-line matrix method theory and applications[J]. IEEE Transactions on Microwave Theory & Techniques, 1985, 33(10): 882-893. doi: 10.1109/TMTT.1985.1133146 URL
[13]	JAVADI S P, ABDIPOUR A. Time domain analysis of an active multi-conductor CRLH transmission line using FDTD method[J]. AEU International Journal of Electronics and Communications, 2021(9): 153683-153695.
[14]	BETHE H A. Theory of diffraction by small holes[J]. Physical Review, 1944, 66(7/8): 163-182. doi: 10.1103/PhysRev.66.163 URL
[15]	ROBINSON M P, BENSON T M, CHRISTOPOULOS C, et al. Analytical formulation for the shielding effectiveness of enclosures with apertures[J]. IEEE Transactions on Electromagnetic Compatibility, 1998, 40(3): 240-248. doi: 10.1109/15.709422 URL
[16]	SU D L, LIU H Y, YANG S C, et al. An analytical method for calculating the shielding effectiveness of an enclosure with an oblique rectangular aperture[J]. Chinese Journal of Electronics, 2019, 28(4): 850-854. doi: 10.1049/cje.2019.02.006 URL
[17]	JIANG L H, HAO J H, GONG Y F. Analytical method for electromagnetic coupling to a penetrated transmission line in cascaded multiple enclosures with hybrid apertures[J]. Journal of Electromagnetic Waves and Applications, 2019, 33(7):1-14. doi: 10.1080/09205071.2018.1524797 URL
[18]	GONG Y F, HAO J H, JIANG L H. An efficient analytical method for the coupling to penetrated transmission line in multiple enclosures based on electromagnetic topology[J]. IET Science Measurement & Technology, 2018, 12(3):335-342. doi: 10.1049/smt2.v12.3 URL
[19]	郝建红, 蒋璐行, 钱思羊. 基于BLT方程的内置介质板异型腔屏蔽效能[J]. 电工技术学报, 2020, 35(18): 3791-3801.
	HAO J H, JIANG L H, QIAN S Y. The shielding effectiveness of heterotypic enclosures embedded dielectric layers based on the BLT equation[J]. Transactions of China Electrotechnical Society, 2020, 35(18):3791-3801. (in Chinese)
[20]	JAMALI M, NIASATI M, JAZEARI M. Lightning analysis of adjacent grounding systems using multi-conductor transmission line method[J]. IET Science Measurement and Technology, 2021, 14(10): 848-852. doi: 10.1049/iet-smt.2019.0267 URL