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Robert, Bruno; El Aroudi, Abdelali

Discrete time model of a multi-cell dc/dc converter: Non linear approach. (English) Zbl 1136.94335

Math. Comput. Simul. 71, No. 4-6, 310-319 (2006).
Summary: By using a non linear discrete time model, this paper shows how to predict bifurcations in a two cells chopper and analyses the road to chaos. Equilibrium points and their stability are investigated in an analogical way to determine the nature of the bifurcations. The global behaviour is studied by using bifurcation diagrams showing collisions between fixed points and borderlines. The border collision bifurcations have their origin in the saturations of the PWM modulator.

Cited in 8 Documents

MSC:

94C05 Analytic circuit theory
37D99 Dynamical systems with hyperbolic behavior

Keywords:

multi-cell; converter; bifurcation; chaos; modelling
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\textit{B. Robert} and \textit{A. El Aroudi}, Math. Comput. Simul. 71, No. 4--6, 310--319 (2006; Zbl 1136.94335)
Full Text: DOI

References:

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