Statistical analysis on electromagnetic emission characteristics of phased array antenna

Zhao Yunru; Wang Quanfeng; Wu Qi

doi:10.11884/HPLPB202133.210389

Volume 33 Issue 12

Dec. 2021

Turn off MathJax

Article Contents

Article Navigation > High Power Laser and Particle Beams > 2021 > 33(12): 123003

Zhao Yunru, Wang Quanfeng, Wu Qi. Statistical analysis on electromagnetic emission characteristics of phased array antenna[J]. High Power Laser and Particle Beams, 2021, 33: 123003. doi: 10.11884/HPLPB202133.210389

Citation:

Zhao Yunru, Wang Quanfeng, Wu Qi. Statistical analysis on electromagnetic emission characteristics of phased array antenna[J]. High Power Laser and Particle Beams, 2021, 33: 123003. doi: 10.11884/HPLPB202133.210389

Citation:

PDF( 2760 KB)

Statistical analysis on electromagnetic emission characteristics of phased array antenna

doi: 10.11884/HPLPB202133.210389

School of Electronics and Information Engineering, Beihang University, Beijing 100191, China

Received Date: 2021-09-01
Accepted Date: 2021-12-04
Rev Recd Date: 2021-11-28

Available Online: 2021-12-06

Publish Date: 2021-12-15

Abstract

Abstract

The beam direction of the phased array antenna changes dynamically. Its electromagnetic emission characteristics show significant statistical laws, and the resources required for analysis and testing are numerous. In this paper, polynomial chaos expansion (PCE) is used to explore the statistical characteristics of the two-dimensional planar phased array antenna’s emission. The objective function of the phased array antenna is determined according to the pattern product theorem, and PCE is used to establish an equivalent surrogate model of the array’s emission characteristics. The paper starts from the phased array antenna composed of ideal point sources, and considers two typical cases that the main beam direction obeys the uniform distribution and the normal distribution. The statistical characteristics of the equivalent surrogate model are obtained by computer simulation. The results of the traditional Monte Carlo (MC) method are used as a reference to evaluate the effectiveness and reliability of the PCE method. At the end of the paper, the situation that the beam direction of the dipole phased array antenna obeys two typical distributions is briefly discussed. The comparison of simulation results shows that the PCE method can greatly reduce the sampling numbers of calculation while ensuring the accuracy of the results, and significantly improve the efficiency of analysis and testing.
- phased array antenna,
- beam scanning,
- electromagnetic emission,
- polynomial chaos expansion,
- Monte Carlo method

FullText(HTML)

References(29)

References

[1]	张盼. 相控阵雷达识别方法与高效实现研究[D]. 成都: 电子科技大学, 2018 Zhang Pan. Research on operation mode classification methods with fast implement of electronic-scan phased array radar[D]. Chengdu: University of Electronic Science and Technology of China, 2018
[2]	Stutzman W L. Antenna theory and design[M]. 2nd ed. New York: J. Wiley, 1998.
[3]	胡昌海, 王任, 陈传升, 等. 平面相控阵超大角度扫描的阵因子分析[J]. 物理学报, 2021, 70:098401. (Hu Changhai, Wang Ren, Chen Chuansheng, et al. Array factor analysis for untra-wide-angle scanning performance of planar phased arrays[J]. Acta Physica Sinica, 2021, 70: 098401
[4]	Hansen R C. Phased array antennas[M]. New York: Wiley, 1998.
[5]	张光义. 相控阵雷达原理[M]. 北京: 国防工业出版社, 2009 Zhang Guangyi. Principles of phased array radar[M]. Beijing: National Defense Industry Press, 2009
[6]	陈绪元. 舰载多功能相控阵雷达概述[J]. 现代雷达, 2000, 22(1):20-24. (Chen Xuyuan. Summarization of the shipborne multi-function phased array radars[J]. Modern Radar, 2000, 22(1): 20-24 doi: 10.3969/j.issn.1004-7859.2000.01.004
[7]	张昀. 国外海军先进射频集成系统分析[J]. 电讯技术, 2009, 49(6):77-80. (Zhang Yun. Analysis of foreign naval advanced RF integrated systems[J]. Telecommunication Engineering, 2009, 49(6): 77-80 doi: 10.3969/j.issn.1001-893x.2009.06.019
[8]	吴楠, 宋东安, 郑生全. 舰船射频综合系统的电磁兼容分析[J]. 舰船科学技术, 2007, 29(6):101-103. (Wu Nan, Song Dongan, Zheng Shengquan. Brief discussing the EMC of the naval vessel's RF integration system[J]. Ship Science and Technology, 2007, 29(6): 101-103
[9]	王侃, 朱瑞平. 相控阵天线的电磁环境分析[J]. 电子学报, 2012, 40(3):571-574. (Wang Kan, Zhu Ruiping. Analysis of electromagnetic environment of phased array[J]. Acta Electronica Sinica, 2012, 40(3): 571-574
[10]	赵勋旺, 张玉, 梁昌洪. 舰载多天线系统电磁兼容性分析[J]. 电波科学学报, 2008, 23(2):252-256,283. (Zhao Xunwang, Zhang Yu, Liang Changhong. Fast EMC analysis of multiple shipborne antennas system[J]. Chinese Journal of Radio Science, 2008, 23(2): 252-256,283 doi: 10.3969/j.issn.1005-0388.2008.02.011
[11]	赵勋旺, 梁昌洪, 张玉. 机载多天线系统电磁兼容性研究[J]. 计算物理, 2008, 25(5):597-601. (Zhao Xunwang, Liang Changhong, Zhang Yu. EMC characteristics of multiple airborne antennas[J]. Chinese Journal of Computational Physics, 2008, 25(5): 597-601 doi: 10.3969/j.issn.1001-246X.2008.05.012
[12]	董宁, 谢彦召. 考虑参数不确定性的高空电磁脉冲E1分量环境计算及分析[J]. 强激光与粒子束, 2019, 31:070002. (Dong Ning, Xie Yanzhao. Early-time high-altitude electromagnetic pulse simulation and analysis considering parameter uncertainty[J]. High Power Laser and Particle Beams, 2019, 31: 070002 doi: 10.11884/HPLPB201931.190140
[13]	董宁, 孙颖力, 王宗扬, 等. 基于QMU的高空电磁脉冲下电气电子设备易损性评估方法[J]. 强激光与粒子束, 2021, 33:123011. (Dong Ning, Sun Yingli, Wang Zongyang, et al. Threat assessment method of electrical equipment under high-altitude electromagnetic pulse based on quantification of margins and uncertainties method[J]. High Power Laser and Particle Beams, 2021, 33: 123011 doi: 10.11884/HPLPB202133.210386
[14]	邓莉亭, 钟龙权, 刘强, 等. 多导体传输线串扰实验不确定度的预测[J]. 强激光与粒子束, 2021, 33:083002. (Deng Liting, Zhong Longquan, Liu Qiang, et al. Uncertainty prediction of crosstalk measurement for multi-conductor transmission lines[J]. High Power Laser and Particle Beams, 2021, 33: 083002
[15]	刘莹. 复杂电磁工程问题分析的几个关键技术[D]. 西安: 西安电子科技大学, 2016 Liu Ying. Several key technologies of the analysis of complex electromagnetic engineering problems[D]. Xi’an: Xidian University, 2016
[16]	朱陆陆. 蒙特卡洛方法及应用[D]. 武汉: 华中师范大学, 2014 Zhu Lulu. The Monte Carlo method and application[D]. Wuhan: Central China Normal University, 2014
[17]	Su Donglin, Tian Bo, Zhao Zihua, et al. Emission characteristics measurement of phased array transmitter based on ultra-wideband dual polarized Vivaldi array[C]//Proceedings of 2017 IEEE Microwaves, Radar and Remote Sensing Symposium. Kiev: IEEE, 2017: 219-223.
[18]	Telford J K. A brief introduction to design of experiments[J]. Johns Hopkins APL Technical Digest, 2007, 27(3): 224-232.
[19]	Wen Zhongkui, Wu Qi, Yildiz Ö F, et al. Design of experiments for analyzing the efficiency of a multi-coil wireless power transfer system using polynomial chaos expansion[C]//Proceedings of 2019 Joint International Symposium on Electromagnetic Compatibility, Sapporo and Asia-Pacific International Symposium on Electromagnetic Compatibility. Sapporo: IEEE, 2019: 499-502.
[20]	Tomy G J K, Vinoy K J. A fast polynomial chaos expansion for uncertainty quantification in stochastic electromagnetic problems[J]. IEEE Antennas and Wireless Propagation Letters, 2019, 18(10): 2120-2124. doi: 10.1109/LAWP.2019.2938323
[21]	Boeykens F, Rogier H, Vallozzi L. An efficient technique based on polynomial chaos to model the uncertainty in the resonance frequency of textile antennas due to bending[J]. IEEE Transactions on Antennas and Propagation, 2014, 62(3): 1253-1260. doi: 10.1109/TAP.2013.2294021
[22]	谭立容, 张照锋, 袁迎春, 等. 电磁波与天线仿真及实践[M]. 西安: 西安电子科技大学出版社, 2016 Tan Lirong, Zhang Zhaofeng, Yuan Yingchun, et al. Simulation and practice of electromagnetic wave and antenna[M]. Xi’an: Xidian University Press, 2016
[23]	泽尔金, 索科洛夫. 天线综合法[M]. 陈祥禄, 倪湘, 译. 北京: 宇航出版社, 1986 Зелкин Е Г, Соколов В Г. Методы синтеза антенн[M]. Chen Xianglu, Ni Xiang, trans. Beijing: Yuhang Publishing House, 1986
[24]	Eldred M. Recent advances in non-intrusive polynomial chaos and stochastic collocation methods for uncertainty analysis and design[C]//Proceedings of the 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Palm Springs: AIAA, 2009: 2274.
[25]	Wiener N. The homogeneous chaos[J]. American Journal of Mathematics, 1938, 60(4): 897-936. doi: 10.2307/2371268
[26]	Xiu Dongbi, Karniadakis G E. The Wiener-Askey polynomial chaos for stochastic differential equations[J]. SIAM Journal on Scientific Computing, 2002, 24(2): 619-644. doi: 10.1137/S1064827501387826
[27]	谢启苗. 基于多项式混沌展开的人员疏散时间不确定性研究[D]. 合肥: 中国科学技术大学, 2014 Xie Qimiao. Study on uncertainty of occupant evacuation time in fire safety design[D]. Hefei: University of Science and Technology of China, 2014
[28]	王天皓. 汽车电磁兼容中线束串扰及其统计特性研究[D]. 长春: 吉林大学, 2016 Wang Tianhao. Research on automotive wiring harness crosstalk and its statistical characteristics in automotive EMC[D]. Changchun: Jilin University, 2016
[29]	塞吉·N·马卡洛夫. 通信天线建模与MATLAB仿真分析[M]. 许献国, 译. 北京: 北京邮电大学出版社, 2006 Makarov S N. Antenna and EM modeling with MATLAB[M]. Xu Xianguo, trans. Beijing: Beijing University of Posts and Telecommunications Press, 2006