Premium
Qualitative analysis of an interrupted electric circuit with spike noise
Author(s) -
Asahara Hiroyuki,
Kousaka Takuji
Publication year - 2011
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.695
Subject(s) - spike (software development) , attractor , noise (video) , bifurcation , invariant (physics) , computer science , topology (electrical circuits) , control theory (sociology) , mathematics , physics , nonlinear system , mathematical analysis , artificial intelligence , combinatorics , software engineering , control (management) , quantum mechanics , image (mathematics) , mathematical physics
Switching non‐ideality and its effects have been reported in DC‐DC converters. In this paper, we examine the qualitative property of an interrupted electric circuit with spike noise. First, we show the circuit model that have the switch interrupted by its own state and a periodic interval. Here, we artificially add spike noise via every switching action. Then, we explain its dynamics and derive the Poincaré map for the rigorous analysis in a circuit with ideal switching and a circuit with spike noise, respectively. Finally, we discuss the dynamical effects of spike noise from experimental and analytical viewpoints based on the Poincaré map and bifurcation diagrams. As a result, some dynamical effects of spike noise are clarified in terms of the invariant set, bifurcations, and existence regions of coexisting attractor. Copyright © 2010 John Wiley & Sons, Ltd.