On the Features of Calculating per-Unit-Length Parameters and Characteristics of Multiconductor Transmission Lines

Abstract—

The features of calculating the matrices of per-unit-length parameters and characteristics of multiconductor transmission lines have been considered. The method of calculation of the matrices of primary per-unit-length parameters of multiconductor transmission lines has been presented. The criteria for the accuracy of the calculation of the capacitance matrix have been formulated. It has been noted that it is necessary to accurately account for the mutual influence between the transmission line conductors for a correct estimation of the distortions of the signals propagated in it. The influence of the per-unit-length parameters of multiconductor transmission lines on responses and eye diagrams at the end of their active conductors has been demonstrated. The influence of the distances from the extreme conductors to the boundaries of the cross-sections of transmission lines on the accuracy of calculating their capacitance matrices has been studied. Using the method of moments, it has been shown that known approaches to determining these distances do not always give accurate or efficient results. On the example of several transmission lines with different numbers of dielectric layers and conductors, as well as with the shield and without it, the minimum values of this distance at which it is possible to achieve an accurate and efficient calculation of their capacitance matrices have been determined.