A generalized simplified modeling method for electromagnetic coupling effects of uncertainty strapping cable harness
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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.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.
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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
Figure 2. Schematic diagram of equipment interconnection wiring cable harness: (a) Arc-shaped binding cable harness; (b) circuit connection diagram.
图 3 不确定性捆扎线束简化建模
Figure 3. Simplification modeling of uncertainty binding cable harness.
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
Figure 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.
图 6 线束内导线之间的换位示意图
Figure 6. A schematic diagram of transposition between conductors in the cable harness.
图 8 平面波照射下21根圆弧捆扎线束模型示意图
Figure 8. Schematic diagram of a 21-conductor circular arc-shaped binding cable harness model illuminated by the plane wave.
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
Figure 9. Comparison of the load coupling current on the circular arc-shaped binding cable harness: (a) Near end; (b) far end.
图 10 平面波照射下21根正弦弧形不确定性捆扎线束模型
Figure 10. Schematic diagram of a 21-conductor sine arc-shaped binding cable harness model illuminated by the plane wave.
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
Figure 11. Comparison of the load coupling current on the sine arc-shaped binding cable harness: (a) Near end; (b) far end.
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 
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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 ADMtot FDMtot GDMtot 圆弧线束 近端 0.265/good 0.181/very good 0.317/good 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 远端 0.290/good 0.157/very good 0.350/good
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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
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