A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits
Kleiman, Diana Leonor; Etchechoury, María del Rosario; Puleston, Pablo Federico; A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits; Hindawi Publishing Corporation; Mathematical Problems in Engineering; 2018; 3-2018; 1-7
Kleiman, Diana Leonor
Etchechoury, María del Rosario
Puleston, Pablo Federico
In a nonlinear system, impasse points are singularities beyond which solutions are not continuable. In this article, we study two families of nonlinear electrical circuits, which can be represented by nonlinear Implicit Differential Equations. We set conditions that ensure the existence of impasse points in both families of circuits. In the literature, there exist general results to analyse the presence of such singularities in given differential equations of this type. However, the method proposed in this work allows detecting their existence in these electrical topologies in an extremely straightforward way, as illustrated by the examples of application.