NON-UNIQUELY SOLVABLE NETWORK MODELS

Abstract

Many methods are known from the literature to perform the analysis of a linear electrical circuit by its nullator norator pairs model. A procedure based on such a method is very elegant from the aspect of the network theory. If a linear electrical circuit is uniquely solvable, then its nullator norator pairs model is also solvable but not necessarily uniquely. The procedure mentioned above can be applied only if the model has a unique solution. For example, if the electrical circuit contains a two-port network part without a common vertex, then its model cannot be calculated in the previous manner, in general. The present paper releases the limit of this procedure. First the author deals with non-uniquely solvable nullator norator pairs networks of different sort, and selects those networks which occur most often during the modelling. After defining the notion of the quasiregular network its basic properties are introduced. Further properties are summarized in two theorems, which enable the calculation of quasiregular networks, such that this calculation is traced back to uniquely solvable nullator norator pairs networks. Finally, an example is given for the application of the author's procedure.