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Bifurcation Behavior of a Three Cell DC-DC Buck Converter
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| Author(s) |
Abdelali El Aroudi, Bruno Robert, Luis Martínez-Salamero |
| Abstract |
Most of nonlinear analysis techniques used for
studying the stability of power electronics systems has been
applied to particular cases such as the buck converter under
voltage mode control, boost converter with current programmed
control, etc. This is due to the inherent complexity
of the mathematical description of such systems in spite of
their topological simplicity. In this paper, we extend the use
of these techniques for studying stability of periodic orbits
of a three cell DC-DC buck converter. We begin by giving
the state space description of the system dynamical behavior
of the system. Then, a discrete time model in the form of
a Poincaré map is described and used for stability analysis.
The expressions of the fixed point and the Jacobian matrix
of this map are given in closed form in terms of system
matrices. Instabilities in the form of generic bifurcations
like period doubling and Neimark-Sacker bifurcation can
be be detected accurately. Numerical simulations confirms
the theoretical predictions. |
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| Filename: | T16-901.pdf |
| Filesize: | 2.034 MB |
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| Type |
Members Only |
| Date |
Last modified 2007-03-08 by System |
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