Journal article
Quasi-Periodicity and Border-Collision Bifurcations in a DC-DC Converter with Pulsewidth Modulation
The paper considers the dynamics of a dc-dc converter with pulsewidth modulation. The typical scenario for the transition to chaos in such systems proceeds via quasi-periodicity, resonance cycles, and torus destruction. Detailed bifurcation analysis shows that the resonance solutions arise via border-collision bifurcations (BCB) on a two-dimensional torus.
The arrangement of the resonance domains within the parameter plane is related to the Farey series, and their internal structure is described. It is shown that transitions to chaos mainly occur through finite sequences of BCB. Some other possible causes of complex dynamics are considered, including a subcritical Neimark-Sacker (Andronov-Hopf) bifurcation and the associated hysteretic phenomena.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2003 |
| Pages: | 1047-1057 |
| ISSN: | 15580806 , 15498328 , 15581268 and 10577122 |
| Types: | Journal article |
| DOI: | 10.1109/TCSI.2003.815196 |
Andronov-Hopf bifurcation Bifurcation Chaos DC-DC converter DC-DC power converters DC-DC power convertors Displays Farey series Hysteresis Neimark-Sacker bifurcation PWM power convertors Power electronics Pulse modulation Pulse width modulation Pulse width modulation converters Resonance bifurcation border-collision bifurcation chaos chaotic dynamics circuit resonance hysteresis piecewise-smooth system power electronics pulsewidth modulation quasi-periodicity resonance cycle two-dimensional torus
