吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (5): 1568-1576.doi: 10.13229/j.cnki.jdxbgxb201705032

Previous Articles     Next Articles

Statistic analysis of cable bundle crosstalk based on polynomial chaos expansion

WANG Tian-hao1, WANG Zhong-fu2, WANG Yu-meng2, YANG Kai-yu2, GAO Yin-han2, MA Xi-lai3   

  1. 1.College of Instrumental & Electrical Engineering, Jilin University,Changchun 130061,China;
    2.State Key Laboratory of Automotive Simulation and Control, Jilin University,Changchun 130022,China;
    3.R&D Center, FAW Group Corporation, Changchun 130011,China
  • Received:2016-07-21 Online:2017-09-20 Published:2017-09-20

RICH HTML

0   

PDF (PC)

155

Abstract: For the phenomenon that the position of cable bundle in reality is non-deterministic geometric, this paper proposes the statistical analysis method of cable bundle crosstalk model based on Polynomial Chaos Expansion. The orthogonal polynomial basis functions are chosen based on the distribution pattern of the variables related to the positions of wires in the cable bundle, and the distributed parameters of the wires can be expressed by the Polynomial Chaos Expansion. With the boundary conditions, the extended MTL can be solved by the modeling methodology, and then the voltage vector and current vector can be expressed by the Polynomial Chaos Expansion. According to the properties of the Polynomial Chaos Expansion, the mean, standard deviation and variation range of the cable bundle crosstalk can be obtained, and the probability density function of the cable bundle crosstalk can also becalculatedthrough numerical method. Thus, the efficient prediction of electromagnetic compatibility of cable bundle in complex system has realized.

Key words: technology of instrument and meter, polynomial chaos expansion, cable bundle crosstalk, multi-conductor transmission lines, statistical analysis

CLC Number: 

  • TM930.11
[1] Paul Clayton R. 电磁兼容导论[M]. 闻映红,译.北京:人民邮电出版社,2007: 324.
[2] Frei S, Jobava R G, Topchishvili D.Complex approaches for the calculation of EMC problems of large systems[C]∥International Symposium on Electromagnetic Compatibility,Santa Clara,USA,2004:826-831.
[3] Capraro G T, Paul C R. Design of the routing for EMC[C]∥The 21st International Symposium on Electromagnetic Compatibility, 1979.
[4] 孙亚秀, 卓庆坤, 姜庆辉, 等.基于多导体传输线理论的差模激励新型线束串扰模型研究[J].物理学报,2015,64(4): 1-13.
Sun Ya-xiu, Zhuo Qing-kun,Jiang Qing-hui,et al. New differential-mode-source cable bundle crosstalk model based on multiconductor transmission lines theory[J].Acta Phys Sin, 2015, 64(4):1-13.
[5] Ni G Y, Yan L, Yuan N C.Time-domain analytic solutions of two-wire transmission line excited by a plane-wave field[J]. Chinese Physics B, 2008, 17(10):3629-3634.
[6] Paul Clayton R. 多导体传输线分析[M].杨晓宪,郑涛,译.北京:中国电力出版社,2013:312-313.
[7] 吴振军,王丽芳,廖承林.分析端接频变负载的多导体传输线FDTD新方法[J]. 物理学报, 2009, 58(9):6146-6151.
Wu Zhen-jun, Wang Li-fang,Liao Cheng-lin.A novel FDTD method for multi-conductor transmission lines terminating in frequency-dependent loads[J]. Acta Phys Sin,2009, 58(9):6146-6151.
[8] Ferrieres X, Parmantier J P, Bertuol S, et al. Application of a hybrid finite difference/finite volume method to solve an automotive EMC problem[J]. IEEE Transactions on Electromagnetic Compatibility,2004,46(4):624-634.
[9] Zhang Q, Liou J J, Mcmacken J, et al. Development of robust interconnect model based on design of experiments and multiobjective optimization[J]. IEEE Transactions on Electron Devices,2001,48(9):1885-1891.
[10] Bellan D, Pignari S. A.probabilistic model for the response of an electrically short two-conductor transmission line driven by a random plane wave field[J]. IEEE Transactions on Electromagnetic Compatibility, 2001, 43(2):130-139.
[11] Shiran S, Reiser B, Cory H. A probabilistic method for the evaluation of coupling between transmission lines[J]. IEEE Transactions on Electromagnetic Compatibility, 1993, 35(3):387-393.
[12] Salio S, Canavero F, Lefebvre J, et al. Statistical description of signal propagation on random bundles of wires[C]∥The 13th International Zurich Symposium Electromagnetic Compatibility, Zurich Switizerland,1999: 499-504.
[13] 高印寒, 王天皓, 杨开宇,等. 汽车线束的动态串扰特性预测[J]. 吉林大学学报:工学版, 2014, 44(5):1258-1263.
Gao Yin-han, Wang Tian-hao, Yang Kai-yu,et al.Prediction of the dynamic crosstalk of automotive wiring hardness[J].Journal of Jilin University (Engineering and Technology Edition) 2014, 44(5):1258-1263.
[14] Sun S, Liu G, Drewniak J L, et al. Hand-assembled cable bundle modeling for crosstalk and common-mode radiation prediction[J]. IEEE Transactions on Electromagnetic Compatibility, 2007, 49(3):708-718.
[15] Wu M, Beetner D, Hubing T, et al. Estimation of the statistical variation of crosstalk in wiring harnesses[C]∥IEEE International Symposium on Electromagnetic Compatibility, Detroit,USA, 2008:614-619.
[16] Wu M, Beetner D G, Hubing T H, et al. Statistical prediction of "reasonable worst-case" crosstalk in cable bundles[J]. IEEE Transactions on Electromagnetic Compatibility, 2009, 51(3):842-851.
[17] Diouf F, Canavero F. Crosstalk statistics via collocation method[C]∥ IEEE International Symposium on Electromagnetic Compotibility, Austin, TX,USA, 2009:92-97.
[18] Salio S, Canavero F, Lecointe D, et al. Crosstalk prediction on wire bundles by Kriging approach[C]∥IEEE International Symposium on Electromagnetic Compatibility, Washington DC,USA, 2000:197-202.
[19] Bellan D, Pignari S A, Spadacini G. Characterisation of crosstalk in terms of mean value and standard deviation multiconductor transmission lines[J]. IEE Proceedings on Science, Measurement and Technology,2003,150(6):289-295.
[20] Bellan D, Pignari S A, Spadacini G.Characterisation of crosstalk in terms of mean value and standard deviation multiconductor transmission lines[J].IEE Proceedings on Science, Measurement and Technology,2003, 150(6): 289-295.
[21] Halligan M S, Beetner D G.Maximum crosstalk estimation in weakly coupled transmission lines[J].IEEE Transactions on Electromagnetic Compatibility, 2014, 56(3):736-744.
[22] Wiener N. The homogeneous chaos[J]. American Journal of Mathematics, 1938, 60(1):897-936.
[23] Ghanem R G, Spanos P D. Stochastic Finite Elements:a Spectral Approach[M]. Berlin:Springer, 1991: 224.
[24] Ghanem R. Ingredients for a general purpose stochastic finite elements implementation[J]. Computer Methods in Applied Mechanics & Engineering, 1999, 168(1-4):19-34.
[25] Finette S. A stochastic representation of environmental uncertainty and its coupling to acoustic wave propagation in ocean waveguides[J]. Acoustical Society of America Journal, 2006, 120(5): 2567.
[26] Xiu D, Karniadakis G E.The wiener-askey polynomial chaos for stochastic differential equations[J]. SIAM Journal on Scientific Computing, 2002, 24(2):619-644.
[27] Xiu D, Karniadakis G E.A new stochastic approach to transient heat conduction modeling with uncertainty[J]. International Journal of Heat & Mass Transfer, 2003, 46(24):4681-4693.
[28] Stievano I S, Manfredi P, Canavero F G. Carbon nanotube interconnects:process variation via polynomial chaos[J]. IEEE Transactions on Electromagnetic Compatibility, 2012, 54(1):140-148.
[29] Cameron R H, Martin W T.The orthogonal development of non-linear functionals in series of fourier-hermite functionals[J]. Annals of Mathematics, 1947, 48(48):385-392.
[30] 王晓东, 康顺.多项式混沌方法在随机方腔流动模拟中的应用[J].中国科学:技术科学, 2011, 33(6):790-798.
Wang Xiao-dong, Kang Shun. Application of polynomial chaos on numerical simulation of stochastic cavity flow[J].Science China: Technological Sciences,2011,33(6): 790-798.
[31] 高印寒, 王瑞宝, 马玉刚,等. 汽车线束导线间寄生电容及串扰的解析预测模型[J]. 吉林大学学报:工学版, 2011, 41(增刊1):144-149.
Gao Yin-han, Wang Rui-bao, Ma Yu-gang, et al. Analytical prediction of parasitic capacitance and crosstalk in automotive cable bundles[J]. Journal of Jilin University (Engineering and Technology Edition) , 2011 ,41 (Sup.1) 144-149.
[32] Paul C R. Decoupling the multiconductor transmission line equations[J]. IEEE Transactions on Microwave Theory & Techniques,1996,44(8):1429-1440.
[33] Papoulis A. Probability, Random Variables and Stochastic Processes[M].3rd ed. New York: McGraw-Hill,1991:207-209.
[1] QIU Yan-kai, LI Bao-ren, YANG Gang, CAO Bo, LIU Zhen. Characteristics and mechanism reducing pressure ripple of hydraulic system with novel hydraulic muffler [J]. 吉林大学学报(工学版), 2018, 48(4): 1085-1091.
[2] WU Jiang, XU Zhuang, LIU Li-jia, JI Yan-ju, LI Su-yi. Peripheral oxygen saturation detecting prototype applied in sleep apnea syndrome [J]. 吉林大学学报(工学版), 2018, 48(2): 640-644.
[3] YANG Cheng, SONG Ping, PENG Wen-jia, JIN Hao-long, PAN Zhi-qiang. Design of armored vehicle integrated test system based on hybrid bus [J]. 吉林大学学报(工学版), 2018, 48(1): 186-198.
[4] YANG Cheng, SONG Ping, PENG Wen-jia, DENG Gao-shou, LIU Xiong-jun. Design of host computer platform for armored vehicle integrated test system [J]. 吉林大学学报(工学版), 2017, 47(6): 1796-1803.
[5] LIU Xiao-wei, LI Hai, WENG Rui, ZHANG Hai-feng, ZHAO Jun. Application of electrostatic torque to improve dynamic characteristics of novel rotational gyroscope [J]. 吉林大学学报(工学版), 2017, 47(3): 850-854.
[6] LIN Jun, ZHAO Yue, JIANG Chuan-dong, WANG Ying-ji. New surface MRS method based on optimized Block inversion [J]. 吉林大学学报(工学版), 2017, 47(2): 530-539.
[7] ZHANG Fei, SHAN Zhong-de, REN Yong-xin, NIE Jun-gang, LIU Feng. Calibration of line array camera for head defect detection system on cylinder cover [J]. 吉林大学学报(工学版), 2017, 47(2): 540-545.
[8] YIN Yao-bao, YUAN Jia-yang, FU Jun-yong. Characteristics of two-stage relief valve with series damping orifice in the front chamber of pilot valve [J]. 吉林大学学报(工学版), 2017, 47(1): 129-136.
[9] LIN Jun, YANG Yu, HU Xue-yan, WANG Shi-long. Transmitting waveform control technology for transient electromagnetic method based on inductive load [J]. 吉林大学学报(工学版), 2016, 46(5): 1718-1724.
[10] YU Sheng-bao, SU Fa, ZHENG Jian-bo, ZHU Zhan-shan. Design of transient electromagnetic receiving system based on LabVIEW [J]. 吉林大学学报(工学版), 2016, 46(5): 1725-1731.
[11] SHEN Mao-dong, CHENG De-fu, AN Zhan-feng, WANG Yi, ZHAO Jing. Optimization of slanting surfaces of five-sided pyramidal full tensor magnetic gradient probe [J]. 吉林大学学报(工学版), 2016, 46(5): 1732-1738.
[12] LIN Jun, ZHAO Yue, JIANG Chuan-dong, LI Tong, LIU Xiao-nan. Three-dimensional forward modeling with high precision for underground MRS based on Hammer integration [J]. 吉林大学学报(工学版), 2016, 46(2): 609-615.
[13] ZHAO Hong-wei, DONG Xiao-long, ZHANG Lin, HU Xiao-li. Determination of the elastic moduli of bulk materials by four-point bending automatic test [J]. 吉林大学学报(工学版), 2016, 46(1): 140-145.
[14] YU Sheng-bao, SU Fa, HE Jian-long, ZHENG Jian-bo. Design and realization of synchronization system of multifunctional electromagnetic instrument [J]. 吉林大学学报(工学版), 2016, 46(1): 146-152.
[15] WANG Jian-peng, QIN Si-cheng, YANG Li-guang, LI Wu. Simulation analysis of heat transfer in the hydraulic system of loader [J]. 吉林大学学报(工学版), 2016, 46(1): 153-158.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] ZHANG Xue-guang, LIU Chun-guo, ZHENG Yuan, JIANG Zhong-hai, LI Xiang-ji. Forming limit prediction of aluminum alloy based on ductile damage and shear damage[J]. 吉林大学学报(工学版), 2016, 46(5): 1558 -1566 .
[2] WANG Pan, LU Jun, DENG Zhao-xiang, LIAO Hai-chen, WANG Zheng-ya, YANG Xiao-guang. Modal control of smart constrained layer damping plate based on state observer[J]. 吉林大学学报(工学版), 2016, 46(4): 1057 -1064 .
[3] LU Yan-fei, ZHANG Tao, ZHENG Jian, LI Ming, ZHANG Cheng. No-reference blurring image quality assessment based on local standard deviation and saliency map[J]. 吉林大学学报(工学版), 2016, 46(4): 1337 -1343 .
[4] HU Guan-yu, QIAO Pei-li. Chaos covariance matrix adaptation evolution strategy optimization algorithm[J]. 吉林大学学报(工学版), 2017, 47(3): 937 -943 .
[5] ZHU Bing, FENG Yao, ZHAO Jian, WU Jian, WANG Peng-fei, WANG Chang. Design and analysis of braking hysteresis compensation system for commercial tractor-semitrailer[J]. 吉林大学学报(工学版), 2017, 47(5): 1352 -1357 .
[6] LANG Li-hui, KAN Peng, WANG Yao, SUN Zhi-ying, ZHANG Quan-da. Experiment on formability of aluminum alloy sheet under three dimensional stress state[J]. 吉林大学学报(工学版), 2017, 47(5): 1527 -1533 .
[7] LIU Rang, WANG De-jiang, ZHANG Liu, ZHOU Da-biao, JIA Ping, DING Peng. Non-uniformity correction and point target detection based on gradient sky background[J]. 吉林大学学报(工学版), 2017, 47(5): 1625 -1633 .
[8] SUN Xiao-ying, HU Ze-zheng, YANG Jin-peng. Assessment method of electromagnetic pulse sensitivity of vehicle engine system based on hierarchical Bayesian networks[J]. 吉林大学学报(工学版), 2018, 48(4): 1254 -1264 .
[9] GU Hai-jun, TIAN Ya-qian, CUI Ying. Intelligent interactive agent for home service[J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1578 -1585 .
[10] BI Qiu-shi,WANG Guo-qiang,HUANG Ting-ting,MAO Rui,LU Yan-peng. Tooth strength analysis of mineral sizer by coupling discrete element method and finite element method[J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1770 -1776 .
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd