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A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits

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  • Diana Leonor Kleiman
  • María del Rosario Etchechoury
  • Paul Puleston

Abstract

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.

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  • Diana Leonor Kleiman & María del Rosario Etchechoury & Paul Puleston, 2018. "A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-7, March.
    • Handle: RePEc:hin:jnlmpe:2613890
    DOI: 10.1155/2018/2613890
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