Dynamic Characterization of Typical Electrical Circuits via Structural Properties
Joint Authors
Avila-Becerril, Sofía
Espinosa-Pérez, Gerardo
Fernandez, Paul
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-06
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The characterization of a class of electrical circuits is carried out in terms of both stability properties and steady-state behavior.
The main contribution is the interpretation of the electrical topology (how the elements that conform the circuits are interconnected) in terms of mathematical properties derived from the structure of their models.
In this sense, at what extent the topology by itself defines the dynamic behavior of the systems is explained.
The study is based on the graph theory allowing capturing, departing from the well-known Kirchhoff laws, the topology of the circuits into several matrices with specific structure.
The algebraic analysis of these matrices permits identifying conditions that determine whether the system is stable in the sense of Lyapunov and the kind of steady-state behavior that it exhibits.
The approach is mainly focused on typical topologies widely used in practice, namely, radial, ring, and mesh networks.
American Psychological Association (APA)
Avila-Becerril, Sofía& Espinosa-Pérez, Gerardo& Fernandez, Paul. 2016. Dynamic Characterization of Typical Electrical Circuits via Structural Properties. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112617
Modern Language Association (MLA)
Avila-Becerril, Sofía…[et al.]. Dynamic Characterization of Typical Electrical Circuits via Structural Properties. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112617
American Medical Association (AMA)
Avila-Becerril, Sofía& Espinosa-Pérez, Gerardo& Fernandez, Paul. Dynamic Characterization of Typical Electrical Circuits via Structural Properties. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112617
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112617