Abstract

Abstract. It is well known from classical transmission line theory, that transmission lines can be folded into impedances and thereby used in an electrical network setting. But it is also possible to create large networks of transmission lines consisting of tubes and junctions. The tubes contain the transmission lines and the junctions consider the mutual influences of the adjacent tubes or the terminals. The calculation of the currents and voltages at the junctions can be performed with the help the BLT-equation. So far this method is not applicable for nonuniform transmission lines described in a full wave method, because the lack of a distinct voltage gives no possibility for junctions. Junctions only make sense, when the considered network offers the possibility to propagate a TEM-Mode. If this requirement is fullfilled, nonuniform transmission lines could be included in an electrical network. This approach is validated in this paper in form of numerical simulations as well as measurements.

Highlights

  • In classical transmission line theory the input impedance of any line can be calculated at any position

  • It is well known from classical transmission line theory, that transmission lines can be folded into impedances and thereby used in an electrical network setting

  • The calculation of the currents and voltages at the junctions can be performed with the help the BLT-equation. This method is not applicable for nonuniform transmission lines described in a full wave method, because the lack of a distinct voltage gives no possibility for junctions

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Summary

Introduction

In classical transmission line theory the input impedance of any line can be calculated at any position Through this method the line itself can be used in an electrical network to calculate the necessary power at the load. Since voltage and current are distinct at every position along the line branch points can be included to combine transmission lines and to build complex networks. These branch points are called junctions and consider the mutual influences of the branched transmission lines. Such a network can be computed with the aid of the BLT-equation, as shown in Tesche et al Such a network can be computed with the aid of the BLT-equation, as shown in Tesche et al (1997, Sect. 6)

Transmission Line Super Theory
Network description of a nonuniform transmission line
Branched network
Conclusions
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