Extension and Improvments of the Transmission Lines Theory

This article is a natural extension of [D 1 322] , devoted to the rudiments of transmission line theory. This time, the author addresses the extension of the initial theory to the analysis of propagation phenomena observed under more complex line configurations than the previous ones. It is important to point out, however, that the justification of the notational conventions adopted in this text, as well as the acquisition of the main properties of lines, suggest prior consultation of the aforementioned article.

It is also worth remembering that the applications of line theory, as discussed in these two articles, are primarily concerned with carrier-current telecommunication processes and issues relating to the electromagnetic compatibility of electronic equipment .

The text is subdivided into three parts: non-linear loads, coupled lines and crosstalk phenomena.

The first part will address the question of line operation in the typical configuration where one end is connected to a source of electrical energy or signals and the opposite end to a device referred to under the general term of non-linear load. Based on physical considerations, non-linear loads will be divided into three classes according to their behavior in relation to the amplitude and time variables carried by the signals.

The second part deals with the matrix transcription of line theory. The matrix concept will be used to address the propagation of currents and voltages on lines with mutual electromagnetic interactions, also known as coupled lines. For didactic reasons, the theoretical developments presented here will be restricted to a system consisting of two coupled lines. Under this simplified configuration, it will be shown that the currents and voltages transported on the lines boil down to the superposition of two eigenmodes. The eigenmodes are then matched by virtual primary and secondary parameters...