This paper proposes a set of fitting features that enables identifying propagation function of cables accurately in the form of multi-delay rational transfer functions while maintaining reduced order of approximation. Frequency domain partitioning and adaptive weighting techniques are applied directly in phase domain for the evaluation of poles and residues simultaneously to ensure the precision of fitting of all entries including the low-magnitude off-diagonal elements. The objective is not only to obtain a precise fitting in phase domain but also to account for intrinsic modal decomposition so that integration errors in time domain are not magnified. The order of approximation is considerably reduced by post-processing the fitting using the balanced realization technique. When the proposed fitting approach is combined with a precise integration technique in time domain, it leads to accurate evaluation of transients as demonstrated in this paper, eliminating the spurious oscillations or numerical instabilities that may be encountered in the universal line model regardless of the integration or interpolation technique.

中文翻译：

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电缆电磁暂态分析传播函数的精确降阶辨识

本文提出了一组拟合特征，能够以多延迟有理传递函数的形式准确识别电缆的传播函数，同时保持近似的降阶。频域划分和自适应加权技术直接应用于相域，同时评估极点和残差，以确保包括低幅度非对角线元素在内的所有条目的拟合精度。目标不仅是在相位域中获得精确拟合，而且还要考虑固有模态分解，以便不会放大时域中的积分误差。通过使用平衡实现技术对拟合进行后处理，可以显着降低近似阶数。