Magauer, A. ; Banerjee, Soumitro (2000) Bifurcations and chaos in the tolerance band PWM technique IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications, 47 (2). pp. 254-259. ISSN 1057-7122
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Related URL: http://dx.doi.org/10.1109/81.828581
Abstract
In this paper we study the dynamical behavior of the tolerance band PWM technique, which is used in controlling power electronic ac inverters and dc-dc converters. We demonstrate numerically as well as experimentally the existence of three basic modes: quasiperiodic, chaotic, and square wave mode. We also observe saddle node bifurcation as the cause of boundary crises with transient chaos, merging crisis following symmetry breaking bifurcations and interior crisis. The critical value of the amplitude of external reference for saddle node bifurcation is evaluated analytically by the Tsypkin method.
Item Type: | Article |
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Source: | Copyright of this article belongs to IEEE. |
ID Code: | 81354 |
Deposited On: | 06 Feb 2012 04:10 |
Last Modified: | 06 Feb 2012 04:10 |
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