Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896389 | Physica D: Nonlinear Phenomena | 2014 | 11 Pages |
Abstract
The development of switch-mode operated power electronic converter systems has provided a broad range of new effective approaches to the conversion of electric power. In this paper we describe the transitions from regular periodic operation to quasiperiodicity and high-periodic resonance behavior that can be observed in a pulse-width modulated DC/AC converter operating with high feedback gain. We demonstrate the occurrence of two different types of torus birth bifurcations and present a series of phase portraits illustrating the appearance of phase-synchronized quasiperiodicity. Our numerical findings are verified through comparison with an experimental inverter system. The results shed light on the transitions to quasiperiodicity and to various forms of three-frequency dynamics in non-smooth systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhanybai T. Zhusubaliyev, Erik Mosekilde, Alexey I. Andriyanov, Vladimir V. Shein,