Characteristics of Electromagnetic Parameters of Multiconductor Transmission Lines Based on Three-Threshold Probability Distribution
Zhao Liang1,2, Wang Shishan1, Lou Qianceng1, Zhang Zhao1, Yan Wei3
1. Nanjing University of Aeronautics and Astronautics Nanjing 210016 China; 2. Unit 94654 of PLA Nanjing 210023 China; 3. School of Electrical and Automation Engineering Nanjing Normal University Nanjing 210097 China
Abstract：The random characteristics of wire electromagnetic parameters are key factors to predict the crosstalk of multiconductor transmission lines (MTL). Combining finite element method (FEM) with probability statistical method, this paper establishes a numerical calculation model of MTL by Ansys software. According to the structure characteristics of cross section of transmission lines, the simulation model is simplified and the extraction method of electromagnetic parameter matrix of per-unit length is optimized. The effectiveness and feasibility are both verified by cases. Based on the principle of probability statistics, the probability distribution of electromagnetic parameters can be obtained by piecewise convolution method. Besides, a probability distribution algorithm taking three thresholds as the converge condition is proposed and verified. Compared the theoretical results with experimental ones, the proposed prediction method possesses the following advantages: simple and easy to operate, good versatility and high accuracy. It is shown the proposed method is an effective method to predict the crosstalk of MTL.
赵亮, 王世山, 娄千层, 张昭, 颜伟. 基于三阈值概率分布的多导体传输线电磁参数特性[J]. 电工技术学报, 2018, 33(8): 1663-1673.
Zhao Liang, Wang Shishan, Lou Qianceng, Zhang Zhao, Yan Wei. Characteristics of Electromagnetic Parameters of Multiconductor Transmission Lines Based on Three-Threshold Probability Distribution. Transactions of China Electrotechnical Society, 2018, 33(8): 1663-1673.
[1] 飞机电线、电缆电磁兼容性分类及布线要求[S]. 中华人民共和国航空航天工业部, 1991. [2] 何宏, 张宝峰, 张大建, 等. 电磁兼容与电磁干扰[M]. 北京: 国防工业出版社, 2007. [3] 高印寒, 王瑞宝, 李碧若, 等. 汽车线束电感性串扰动态变化的预测[J]. 光学精密工程, 2011, 19(5): 1088-1094. Gao Yinhan, Wang Ruibao, Li Biruo, et al.Prediction of variation of inductive crosstalk in automotive cable bundles[J]. Optic Precision Engineering, 2011, 19(5): 1088-1094. [4] 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 Yinhan, Wang Ruibao, Ma Yugang, et al.Analytical prediction of parasitic capacitance and crosstalk in automotive cable bundles[J]. Journal of Jilin University (Engineering and Technology Edition), 2011, 41(S1): 144-149. [5] 李永明, 杨娜, 郑亚利, 等. 汽车不均匀线束串扰特性预测的改进方法[J]. 重庆大学学报, 2012, 35(6): 48-52. Li Yongming, Yang Na, Zheng Yali, et al.Prediction of crosstalk characterization in cables bundles[J]. Journal of Chongqing University, 2012, 35(6): 48-52. [6] 朱峰, 邱日强, 牛大鹏, 等. 基于有源传输线模型的地-架空屏蔽线缆耦合特性分析与参数计算[J]. 电工技术学报, 2016, 31(4): 22-28. Zhu Feng, Qiu Riqiang, Niu Dapeng, et al.Coupling characteristic analysis and parameter calculation of ground and above-ground shielded cables based on transmission line with a distributed source model[J]. Transactions of China Electrotechnical Society, 2016, 31(4): 22-28. [7] 潘启军, 孟庆云, 张向明, 等. 基于互感参数提取的多导体与多导线模型缩减方法研究[J]. 电工技术学报, 2015, 30(8): 289-296. Pan Qijun, Meng Qingyun, Zhang Xiangming, et al.A model reduction study of multiple conductors and multiple wires based on extraction of mutual inductance parameters[J]. Transactions of China Electrotechnical Society, 2015, 30(8): 289-296. [8] 凌在汛, 周理兵, 张毅, 等. 屏蔽感应电机等效电路参数的有限元计算法[J]. 电工技术学报, 2016, 31(22): 28-34. Ling Zaixun, Zhou Libing, Zhang Yi, et al.Parameters calculation of canned solid-rotor induction motor by finite element analysis[J]. Transactions of China Electrotechnical Society, 2016, 31(22): 28-34. [9] Ajayi A, Ingrey P, Sewell P, et al.Direct computation of statistical variations in electromagnetic pro- blems[J]. IEEE Transactions on Electromagnetic Compatibility, 2008, 50(2): 325-332. [10] Cannas B, Fanni A, Maradei F.Crosstalk prediction in twisted bundles by a neural approach[C]//IEEE International Symposium on Electromagnetic Compatibility, Beijing, China, 2002: 638-641. [11] Salio, Canavero F, Lecointe D, et al. Crosstalk prediction on wire bundles by Kriging approach[C]// IEEE International Symposium on Electromagnetic Compatibility, Sorrento, Italy, 2002: 197-202. [12] Sun S, Liu G, Drewniak J, 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. [13] Popov M, Sluis L V D, Paap G C, et al. Computation of very fast transient overvoltages in transformer windings[J]. IEEE Transactions on Power Delivery, 2003, 18(4): 1268-1274. [14] 俞集辉, 贾晋, 汪泉弟, 等. 汽车点火线圈的宽频电路模型及参数提取[J]. 电工技术学报, 2011, 26(8): 178-184. Yu Jihui, Jia Jin, Wang Quandi, et al.Wideband equivalent circuit model and parameter computation of ignition coil for automobile application[J]. Transactions of China Electrotechnical Society, 2011, 26(8): 178-184. [15] Papoulis A, Pillai S U.Probability, random variables and stochastic processes with errata sheet, 4th edition[M]. New York: McGraw Hill Higher Education, 2002. [16] Capraro G, Paul C R.A probabilistic approach to wire coupling interference prediction[C]//IEEE International Symposium on Electromagnetic Com- patibility, Zurich, 1981. [17] 包贵浩, 苏东林, 戴飞, 等. 非均匀螺距的双绞线串扰统计特性分析[J]. 北京航空航天大学学报, 2014, 40(2): 193-197. Bao Guihao, Su Donglin, Dai Fei, et al.Statistical analysis for crosstalk of twisted-wire pairs with non-uniform pitch[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(2): 193-197. [18] Bellan D, Pignari S A.Estimation of crosstalk in nonuniform cable bundles[C]//Proceedings of the International Sympposium on Electromagnetic Compatibility, Chicago, USA, 2015: 336-341. [19] Li Guanghua, Hess G, Hoeckele R, et al.Measurement-based modeling and worst-case estimation of crosstalk inside an aircraft cable connector[J]. IEEE Transactions on Electromagnetic Compatibility, 2015, 57(4): 827-835.
2018, Vol. 33 
