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Influence of the line characterization on the transient analysis of nonlinearly loaded lossy transmission lines

机译:线路特性对非线性负载有损传输线暂态分析的影响

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The analysis of nonlinearly terminated lossy transmission lines is addressed in this paper with a modified version of a method belonging to the class of mixed techniques, which characterize the line in the frequency domain and solve the nonlinear problem in the time domain via a convolution operation. This formulation is based on voltage wave variables defined in the load sections. The physical meaning of such quantities helps to explain the transient scattering process in the line and allows us to discover the importance (so far often overlooked) of the reference impedance used to define the scattering parameters. The complexity of the transient impulse responses, the efficiency of the algorithms, and the precision of the results are shown to be substantially conditioned by the choice of the reference impedance. The optimum value of the reference impedance depends on the amount of line losses. We show that a low-loss line can be effectively described if its characteristic impedance or the characteristic impedance of the associated LC line is chosen as the reference impedance. Based on the physical interpretation of our formulation, we are able to validate the numerical results, and to demonstrate that, despite claimed differences or improvements, the formulations of several mixed methods are fundamentally equivalent.
机译:本文使用一种属于混合技术类别的方法的改进版本来解决对非线性终止的有损传输线的分析问题,该方法的特征是在频域中对线路进行表征,并通过卷积运算解决时域中的非线性问题。此公式基于负载部分中定义的电压波变量。此类量的物理含义有助于解释线路中的瞬态散射过程,并使我们能够发现用于定义散射参数的参考阻抗的重要性(到目前为止常常被忽略)。瞬态脉冲响应的复杂性,算法的效率以及结果的精度在很大程度上取决于参考阻抗的选择。参考阻抗的最佳值取决于线路损耗量。我们显示,如果选择低损耗线的特征阻抗或相关LC线的特征阻抗作为参考阻抗,则可以有效地描述它。基于对我们配方的物理解释,我们能够验证数值结果,并证明,尽管声称有所不同或有所改进,但几种混合方法的配方在本质上是等效的。

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