Instabilities of a boost converter system under large parameter variations
- 1 October 1989
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Power Electronics
- Vol. 4 (4), 442-449
- https://doi.org/10.1109/63.41773
Abstract
The instabilities of the boost converter system, caused by large variations of system parameters, are explored by employing multiple-parameter, bifurcation-theory-oriented approaches. It is revealed that, depending on the eigenvalues of the Jacobian of the system, both static bifurcation (jump phenomenon) and dynamic bifurcation (onset of limit cycles) can occur at critical points. The conditions for stability for both pre-critical and post-critical behavior of the system have been obtained with the support of experimental verification.Keywords
This publication has 8 references indexed in Scilit:
- On the oscillatory instability of multiple-parameter systemsInternational Journal of Engineering Science, 1985
- An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)Journal of Sound and Vibration, 1984
- Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsApplied Mathematical Sciences, 1983
- Geometrical Methods in the Theory of Ordinary Differential EquationsGrundlehren der mathematischen Wissenschaften, 1983
- Large-signal modelling and analysis of switching regulatorsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1982
- Methods of Bifurcation TheoryGrundlehren der mathematischen Wissenschaften, 1982
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systemsIEEE Transactions on Circuits and Systems, 1979
- A general unified approach to modelling switching-converter power stagesInternational Journal of Electronics, 1977