A Simple Method for Impasse Points Detection in Nonlinear Electrical Circuits

Autor: Diana Leonor Kleiman, María del Rosario Etchechoury, Pablo Federico Puleston
Jazyk: angličtina
Rok vydání: 2018
Předmět:
electrical circuits
Article Subject
Differential equation
Computer science
General Mathematics
impasse points
Ingeniería
implicit differential equation
purl.org/becyt/ford/2.2 [https]
INGENIERÍAS Y TECNOLOGÍAS
Type (model theory)
01 natural sciences
law.invention
Set (abstract data type)
Simple (abstract algebra)
law
Applied mathematics
Ingeniería Eléctrica y Electrónica
0101 mathematics
Ingeniería Eléctrica
Ingeniería Electrónica e Ingeniería de la Información
Electronic circuit
nonlinear circuit singularity
impasse point
lcsh:Mathematics
010102 general mathematics
General Engineering
lcsh:QA1-939
010101 applied mathematics
Nonlinear system
purl.org/becyt/ford/2 [https]
lcsh:TA1-2040
Electrical network
Gravitational singularity
lcsh:Engineering (General). Civil engineering (General)
Zdroj: SEDICI (UNLP)
Universidad Nacional de La Plata
instacron:UNLP
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Mathematical Problems in Engineering, Vol 2018 (2018)
ISSN: 1024-123X
DOI: 10.1155/2018/2613890
Popis: 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.
Facultad de Ingeniería (FI)
Facultad de Ciencias Exactas
Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales (LEICI)
Databáze: OpenAIRE
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