Time Domain Hybrid Algorithm for the Coupling Analysis of Harness Cable with Bent and Stereoscopic Configurations
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摘要: 受复杂系统布线空间的制约，线缆通常为线束结构，并呈现弯折和空间立体分布形态。目前，针对立体弯折线缆线束(BSCs)的电磁耦合，仍缺乏高效的时域建模分析方法。因此，该文基于时域有限差分(FDTD)方法和传输线(TL)方程，提出自适应线缆网格技术，结合高效插值技术和电荷守恒定律，研究了一种高效的时域混合算法，实现立体弯折线缆线束的电磁耦合时域快速同步计算。首先，将立体弯折线束整体结构按照弯折节点分解成多段独立的子线束。然后，基于传输线方程和FDTD方法，结合自适应线缆网格技术和插值技术，构建各段空间立体分布的子线束电磁耦合模型，并求解得到线束沿线各点的瞬态响应。最后，根据电荷守恒定律，构建弯折节点的等效电路模型并求解得到节点处的电压，实现各段子线束之间的干扰信号传输。通过理想导电板上和屏蔽机箱内立体弯折线束电磁耦合的数值模拟，从计算精度和耗用时间方面与CST和FDTD-SPICE的仿真结果进行对比，验证所提方法的正确性和高效性。
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关键词:
- 立体弯折线缆线束 /
- 自适应线缆网格技术 /
- 插值技术 /
- 电荷守恒 /
- 时域有限差分与传输线方程的混合算法
Abstract: Restricted to the spatial layout of complex systems, the cables used in these systems are usually harness structures, and have bent and stereoscopic configurations. At present, efficient time-domain modeling and analysis methods for the coupling of harness cable with Bent and Stereoscopic Configurations (BSCs) are still rare. Therefore, an efficient time-domain hybrid method, consisting of the Finite Difference Time Domain (FDTD) method, Transmission Line (TL) equations, adaptive cable mesh technique, interpolation techniques and charge conservation law, is studied to achieve the fast and synchronous calculations of space electromagnetic field radiation and the coupling responses of harness cable with BSCs. Firstly, the structure of the harness cable with BSCs is decomposed into multiple independent sub harness cable according to the bending nodes. Then, the coupling model of each sub harness cable is constructed by the TL equations, in which the adaptive cable mesh technique and some interpolation techniques are employed to compute the distribution sources of the TL equations, and the FDTD is applied to solve the transient responses on the sub harness cable. Finally, the equivalent circuit model of the bending nodes are constructed by the charge conservation law, and the voltages at the nodes are solved and fed back to these sub harness cables to realize the interference signal transmission between these cables. To verify the accuracy and efficiency of the proposed method, two coupling problems of the harness cable with BSCs in the environments of free space and shielding enclosure are solved by this method, CST and Finite Difference Time Domain-Simulation Program with Integrated Circuit Emphasis (FDTD-SPICE) method, which are compared in the calculation precision and time consumption. -
表 1 算例1的时域混合算法与CST和FDTD-SPICE所需网格量和计算时间
数值方法 网格量 计算时间(min) 时域混合算法 6.84×105 2.4 CST 2.7×106 3.3 FDTD-SPICE 6.84×105 2.6 
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