一种不确定性捆扎线束电磁耦合效应的广义等效建模方法

肖培; 李佳维; 贺佳港; 李锦新; 刘柱; 李高升

doi:10.7498/aps.70.20201723

摘要

线束在实际布线过程中存在空间布局特性, 其芯线数目大、空间任意弯曲以及位置不确定等特点给线束耦合干扰的建模与分析带来了挑战. 不确定性全线束模型耦合干扰的数值仿真对计算能力提出了更高要求, 甚至无法进行有效计算. 因此, 本文提出了不确定性捆扎弧形线束电磁耦合效应的广义简化建模方法, 考虑了捆扎线束内导线相对位置的不确定性. 基于高斯分布和样条插值方法, 建立了不确定性捆扎线束内导线的位置, 根据多导体传输线理论确立了等效线束的几何截面结构参数, 通过圆弧和正弦捆扎线束数值算例验证了本文方法的有效性.

关键词:

Abstract

The cable harness provides a main gateway for electromagnetic interference(EMI) in electromechanical system. The unreasonable electromagnetic compatibility (EMC) design of cable harness will produce EMI to other on-board electronic equipment, bringing great safety risks to the system. Theoretical research and engineering practice indicate that most of the electromechanical systems cannot satisfy EMC standards, which can be attributed to the EMI generated by cables. As for the eletromagnetic(EM) illumination analysis, reliably and efficiently generating a full numerical model of cable harness is becoming more prominent for the EMC designers. Therefore, it is necessary to develop a more effective method to solve the modeling problem of cable harness. In the practical application, the cable harness has the characteristics of spatial layout, and its characteristics such as “large number of core wires”, “arbitrary curvature of space” and “randomness of wiring” bring challenges to the modeling of EM coupling to cable harness. The numerical simulation of the whole cable harness model requires severe conditions for computational resource and even makes the EM coupling analysis impossible. Thus, considering the uncertainty of wire position, this paper proposes a generalized simplified modeling method for the EM coupling effect of uncertainty strapping cable harness. Firstly, the Gaussian distribution and spline interpolation are used to determine the location of the core conductors in the random bundling. Then, the distribution parameters of the cable harness at different positions are established by using the transposition relationship between the subsegments of the wires. Finally, the effectiveness of the proposed method is verified by numerical examples of the arc-shaped and sine-shaped harness. In conclusion, this paper proposes a generalized simplification technique to model the EM illumination on cable harness with uncertainty wiring factors. By grouping the conductors together, the required computation time is markedly reduced and the complexity of modeling the completely cable harness is significantly simplified within a good accuracy. The proposed method provides a way of solving the modeling problem caused by “uncertainty strapping” of the complex wiring harnesses in electromechanical systems.

Keywords:

作者及机构信息

1.
湖南大学电气与信息工程学院, 长沙　410082

2.
湖南大学信息科学与工程学院, 长沙　410082

通信作者: 李高升, gaosheng7070@vip.163.com

基金项目: 国家自然科学基金(批准号: 51675086)和中国博士后科学基金(批准号: 2020M672482)资助的课题

Authors and contacts

1.
College of Electrical and Information Engineering, Hunan University, Changsha 410082, China

2.
College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China

Corresponding author: Li Gao-Sheng, gaosheng7070@vip.163.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51675086) and the China Postdoctoral Science Foundation (Grant No. 2020M672482)

文章全文 : translate this paragraph

参考文献

[1]	任丹, 杜平安, 聂宝林, 曹钟, 刘文奎 2014 63 120701 Google Scholar Ren D, Du P A, Nie B L, Cao Z, Liu W Q 2014 Acta Phys. Sin. 63 120701 Google Scholar
[2]	曹钟, 杜平安, 聂宝林, 任丹, 张其道 2014 63 124102 Google Scholar Cao Z, Du P A, Nie B L, Ren D, Zhang Q D 2014 Acta Phys. Sin. 63 124102 Google Scholar
[3]	叶志红, 张杰, 周健健, 苟丹 2020 69 060701 Google Scholar Ye Z H, Zhang J, Zhou J J, Gou D 2020 Acta Phys. Sin. 69 060701 Google Scholar
[4]	吴振军, 王丽芳, 廖承林 2009 59 6146 Google Scholar Wu Z J, Wang L F, Liao C L 2009 Acta Phys. Sin. 59 6146 Google Scholar
[5]	孙亚秀, 卓庆坤, 姜庆辉, 李千 2015 64 044102 Google Scholar Sun Y X, Zhuo Q K, Jiang Q H, Li Q 2015 Acta Phys. Sin. 64 044102 Google Scholar
[6]	王海龙, 吴群, 孟繁义, 李乐伟 2007 56 2608 Google Scholar Wang H L, Wu Q, Meng F Y, Li Y W 2007 Acta Phys. Sin. 56 2608 Google Scholar
[7]	Andrieu G, Kone L, Bocquet F 2008 IEEE Trans. Electromagn. Compat. 50 175 Google Scholar
[8]	Andrieu G, Reineix A, Bunlon M 2009 IEEE Trans. Electromagn. Compat. 51 108 Google Scholar
[9]	Andrieu G, Reineix A 2013 IEEE Trans. Electromagn. Compat. 55 798 Google Scholar
[10]	Schetelig B, Keghie J, Kanyou R 2010 Adv. Radio Sci. 8 211 Google Scholar
[11]	Li Z, Shao Z J, Ding J 2011 IEEE Trans. Electromagn. Compat. 53 1040 Google Scholar
[12]	Li Z, Liu L L, Ding J 2012 IEEE Trans. Electromagn. Compat. 54 940 Google Scholar
[13]	Li Z, Liu L L, Yan J 2013 IEEE Trans. Electromagn. Compat. 55 975 Google Scholar
[14]	汪泉弟, 郑亚利, 刘青松, 曾铉, 俞集辉 2012 电工技术学报 7 160 Wang Q D, Zheng Y L, Liu Q S, Zeng X, Yu J H 2012 Transactions of China Electrotechnical Society 7 160
[15]	高印寒, 安占扬, 王举贤 2015 吉林大学学报 45 946 Gao Y H, An Z Y, Wang J X 2015 J. Jilin Univ. 45 946
[16]	王天皓, 高印寒, 高乐 2017 吉林大学学报 47 392 Wang T H, Gao Y H, Gao L 2017 J. Jilin Univ. 47 392
[17]	Paul C R 2008 Analysis of Multiconductor Transmission Lines (New Jersey: John Wiley & Sons)
[18]	高印寒, 王瑞宝, 马玉刚, 王莹莹, 杨开宇 2011 吉林大学学报 19 1088 Gao Y H, Wang R Z, Ma Y G, Wang Y Y, Yang K Y 2011 J. Jilin Univ. 19 1088
[19]	Sun S, Liu G, Drewniak J L 2007 IEEE Trans. Electromagn. Compat. 49 708 Google Scholar
[20]	Duffy A P, Martin A J M, Orlandi A, Antonini G 2006 IEEE Trans. Electromagn. Compat. 48 449 Google Scholar
[21]	Orlandi A, Duffy A P, Archambeault B, Antonini G 2006 IEEE Trans. Electromagn. Compat. 48 460 Google Scholar

施引文献

图 1 控制器信号线缆束

Fig. 1. Controller signal cable bundle..

下载: 全尺寸图片幻灯片

图 2 设备互连线束示意图　(a)弧形捆扎线束; (b)线束电路连接示意图

Fig. 2. Schematic diagram of equipment interconnection wiring cable harness: (a) Arc-shaped binding cable harness; (b) circuit connection diagram.

下载: 全尺寸图片幻灯片

图 3 不确定性捆扎线束简化建模

Fig. 3. Simplification modeling of uncertainty binding cable harness.

下载: 全尺寸图片幻灯片

图 4 双导体传输线几何截面结构

Fig. 4. Cross-sectional geometry of double conductors.

下载: 全尺寸图片幻灯片

图 5 不确定性线束建模步骤　(a)线束始端的确立; (b)基于样条插值法的线束位置; (c)分段级联

Fig. 5. Modeling steps for uncertainty cable harness: (a) Determination of the beginning end; (b) location of the cable harness based on spline interpolation; (c) sectional cascade.

下载: 全尺寸图片幻灯片

图 6 线束内导线之间的换位示意图

Fig. 6. A schematic diagram of transposition between conductors in the cable harness.

下载: 全尺寸图片幻灯片

图 7 共模负载的确立

Fig. 7. Determination of the common mode load impedance.

下载: 全尺寸图片幻灯片

图 8 平面波照射下21根圆弧捆扎线束模型示意图

Fig. 8. Schematic diagram of a 21-conductor circular arc-shaped binding cable harness model illuminated by the plane wave.

下载: 全尺寸图片幻灯片

图 9 圆弧不确定性捆扎线束简化前后负载耦合电流对比　(a)近端; (b)远端

Fig. 9. Comparison of the load coupling current on the circular arc-shaped binding cable harness: (a) Near end; (b) far end.

下载: 全尺寸图片幻灯片

图 10 平面波照射下21根正弦弧形不确定性捆扎线束模型

Fig. 10. Schematic diagram of a 21-conductor sine arc-shaped binding cable harness model illuminated by the plane wave.

下载: 全尺寸图片幻灯片

图 11 正弦不确定性捆扎线束简化前后负载耦合电流对比　(a)近端; (b)远端

Fig. 11. Comparison of the load coupling current on the sine arc-shaped binding cable harness: (a) Near end; (b) far end.

下载: 全尺寸图片幻灯片

表 1 直角坐标系中21-线束模型近端位置(单位: mm)

Table 1. Coordinates of each conductor near end of the 21-conductor cable harness (unit: mm).

导线编号	1	2	3	4	5	6	7
坐标x, y	–8, 4	–8, 0	–8, –4	–4, 8	–4, 4	–4, 0	–4, 4
导线编号	8	9	10	11	12	13	14
坐标x, y	–4, –8	0, 4	0, 4	0, 0	0, –4	0, –8	4, 8
导线编号	15	16	17	18	19	20	21
坐标x, y	4, 4	4, 0	4, –4	4, –8	8, 4	8, 0	8, –4

下载: 导出CSV

表 2 本文方法的FSV评价结果

Table 2. The FSV evaluation results of the proposed method.

线束终端		FSV
线束终端		ADM_tot	FDM_tot	GDM_tot
圆弧线束	近端	0.265/good	0.181/very good	0.317/good
圆弧线束	远端	0.289/good	0.200/very good	0.345/good
正弦线束	近端	0.313/good	0.172/very good	0.376/good
正弦线束	远端	0.290/good	0.157/very good	0.350/good

下载: 导出CSV

表 3 全模型和简化模型仿真时间分析

Table 3. Analysis time of the simplified and complete model.

模型	圆弧全模型	圆弧简化模型	正弦全模型	正弦简化模型
计算时间/s	3222	420	2919	336

下载: 导出CSV

map

[1]	任丹, 杜平安, 聂宝林, 曹钟, 刘文奎 2014 63 120701 Google Scholar Ren D, Du P A, Nie B L, Cao Z, Liu W Q 2014 Acta Phys. Sin. 63 120701 Google Scholar
[2]	曹钟, 杜平安, 聂宝林, 任丹, 张其道 2014 63 124102 Google Scholar Cao Z, Du P A, Nie B L, Ren D, Zhang Q D 2014 Acta Phys. Sin. 63 124102 Google Scholar
[3]	叶志红, 张杰, 周健健, 苟丹 2020 69 060701 Google Scholar Ye Z H, Zhang J, Zhou J J, Gou D 2020 Acta Phys. Sin. 69 060701 Google Scholar
[4]	吴振军, 王丽芳, 廖承林 2009 59 6146 Google Scholar Wu Z J, Wang L F, Liao C L 2009 Acta Phys. Sin. 59 6146 Google Scholar
[5]	孙亚秀, 卓庆坤, 姜庆辉, 李千 2015 64 044102 Google Scholar Sun Y X, Zhuo Q K, Jiang Q H, Li Q 2015 Acta Phys. Sin. 64 044102 Google Scholar
[6]	王海龙, 吴群, 孟繁义, 李乐伟 2007 56 2608 Google Scholar Wang H L, Wu Q, Meng F Y, Li Y W 2007 Acta Phys. Sin. 56 2608 Google Scholar
[7]	Andrieu G, Kone L, Bocquet F 2008 IEEE Trans. Electromagn. Compat. 50 175 Google Scholar
[8]	Andrieu G, Reineix A, Bunlon M 2009 IEEE Trans. Electromagn. Compat. 51 108 Google Scholar
[9]	Andrieu G, Reineix A 2013 IEEE Trans. Electromagn. Compat. 55 798 Google Scholar
[10]	Schetelig B, Keghie J, Kanyou R 2010 Adv. Radio Sci. 8 211 Google Scholar
[11]	Li Z, Shao Z J, Ding J 2011 IEEE Trans. Electromagn. Compat. 53 1040 Google Scholar
[12]	Li Z, Liu L L, Ding J 2012 IEEE Trans. Electromagn. Compat. 54 940 Google Scholar
[13]	Li Z, Liu L L, Yan J 2013 IEEE Trans. Electromagn. Compat. 55 975 Google Scholar
[14]	汪泉弟, 郑亚利, 刘青松, 曾铉, 俞集辉 2012 电工技术学报 7 160 Wang Q D, Zheng Y L, Liu Q S, Zeng X, Yu J H 2012 Transactions of China Electrotechnical Society 7 160
[15]	高印寒, 安占扬, 王举贤 2015 吉林大学学报 45 946 Gao Y H, An Z Y, Wang J X 2015 J. Jilin Univ. 45 946
[16]	王天皓, 高印寒, 高乐 2017 吉林大学学报 47 392 Wang T H, Gao Y H, Gao L 2017 J. Jilin Univ. 47 392
[17]	Paul C R 2008 Analysis of Multiconductor Transmission Lines (New Jersey: John Wiley & Sons)
[18]	高印寒, 王瑞宝, 马玉刚, 王莹莹, 杨开宇 2011 吉林大学学报 19 1088 Gao Y H, Wang R Z, Ma Y G, Wang Y Y, Yang K Y 2011 J. Jilin Univ. 19 1088
[19]	Sun S, Liu G, Drewniak J L 2007 IEEE Trans. Electromagn. Compat. 49 708 Google Scholar
[20]	Duffy A P, Martin A J M, Orlandi A, Antonini G 2006 IEEE Trans. Electromagn. Compat. 48 449 Google Scholar
[21]	Orlandi A, Duffy A P, Archambeault B, Antonini G 2006 IEEE Trans. Electromagn. Compat. 48 460 Google Scholar

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