低频辐射环境下多导线电磁耦合计算新方法

    A Novel Coupling Calculation Method for Multi-conductor Transmission Lines Under Radiation Environment with Low-frequencies

    • 摘要: 鉴于低频辐射持续时间很长而多导体传输线结构精细,场线耦合时域计算效率极低,同时缺乏高效的场线耦合频域模型与算法。本文将频域有限差分法(FDFD)与传输线方程和矩量法(MoM)相结合,研究了一种新型的场线耦合频域算法,实现屏蔽腔体环境下多导体传输线低频辐射干扰的准确快速计算。首先,采用传输线方程构建多导体传输线的低频辐射耦合模型,通过FDFD方法进行求解,推导建立新型的FDFD-TL矩阵方程。然后,使用MoM准确快速计算多导体传输线沿线的切向电场,获取FDFD-TL矩阵方程的等效电压源项。最后,结合复共轭梯度法与MPI并行技术,快速求解FDFD-TL矩阵方程,获得多导体传输线沿线及端接负载电流响应。通过相应计算实例的数值模拟,与MoM全波仿真结果从精度和计算耗时两方面进行对比,充分验证了该方法的计算精度与效率。

       

      Abstract: Due to the prolonged duration of low-frequency radiation and the fine structures of multi-conductor transmission lines (MTLs), the time-domain field-to-line coupling simulations have extremely low computational efficiency, while efficient frequency-domain field-to-line coupling models and algorithms are rare. A novel hybrid method integrating the finite-difference frequency-domain (FDFD) method with transmission line equations and method of moments (MoM) is developed to achieve accurate and efficient calculation of low-frequency radiation interference on MTLs in shielded enclosures. Firstly, the transmission line equations are employed to establish the low-frequency radiation coupling model of MTLs, which are then solved by the FDFD method to derive a novel FDFD-TL matrix equation. Subsequently, the accurate electric field distribution along the MTLs is calculated using the MoM in terms of avoiding directly meshing the MTLs′ fine structures, yielding the equivalent voltage source terms for the FDFD-TL matrix equation. Finally, the FDFD-TL matrix equation is rapidly solved by the complex-conjugate gradient method combined with the MPI parallelization technique to obtain the current responses along the MTLs and their terminal loads. Numerical simulations of corresponding test cases are carried out via this method and full-wave MoM, and their results are compared in terms of accuracy and computational time to validate the precision and efficiency of the proposed method.

       

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