Author, as appears in the article.: Rodriguez, Enric; El Aroudi, Abdelali; Guinjoan, Francisco; Alarcon, Eduard
Department: Enginyeria Electrònica, Elèctrica i Automàtica
URV's Author/s: El Aroudi Chaoui, Abdelali
Keywords: Topology System stability Subharmonic oscillations Stability boundaries Stability analysis Power electronics converters Power electronics Nonlinear systems Nonlinear dynamics and nonlinear dynamical systems Nonlinear discrete-time models Jacobian matrices Forecasting Fast scale instability Equations of state Electric power supplies to apparatus Dc-dc power converters Dc-dc converters Dc-dc converter Dc switching power supplies Controllers Closed-form expression Chaos theory Chaos Bifurcations Bifurcation (mathematics) Bifurcation Analytical approach
Abstract: This paper presents a design-oriented analytical approach for predicting fast-scale instability in power electronics converters under voltage-mode control strategy. This approach is based on the use of the ripple amplitude of the feedback control voltage as an index for predicting subharmonic oscillations in these systems. First, the work revisits the stability analysis technique based on the nonlinear discrete-time model, demonstrating that the ripple amplitude can be included within the expression of the Jacobian matrix of this model, hence giving a mathematical support to extend the ripple index to more complex topologies. A simple but representative buck converter under voltage-mode control is used to illustrate the approach. Using the ripple-based index, closed-form expressions of stability boundaries are derived. Unlike other available results obtained from existing methods, the stability boundary, in this work is expressed analytically in terms of both power stage and controller design parameters. Moreover, one can determine how these parameters are involved in the closed form expressions and, furthermore, how each parameter affects the stability of the system. The approach is validated by numerical simulations from the state equations and also experimentally within a wide range of the design parameter space. © 2011 IEEE.
Thematic Areas: Matemática / probabilidade e estatística Interdisciplinar Hardware and architecture Engineering, electrical & electronic Engenharias iv Engenharias iii Electrical and electronic engineering Ciência da computação Astronomia / física
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: abdelali.elaroudi@urv.cat
Author identifier: 0000-0001-9103-7762
Record's date: 2024-10-12
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://ieeexplore.ieee.org/document/5982108
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Ieee Transactions On Circuits And Systems I-Regular Papers. 59 (1): 215-227
APA: Rodriguez, Enric; El Aroudi, Abdelali; Guinjoan, Francisco; Alarcon, Eduard (2012). A ripple-based design-oriented approach for predicting fast-scale instability in DC-DC switching power supplies. Ieee Transactions On Circuits And Systems I-Regular Papers, 59(1), 215-227. DOI: 10.1109/TCSI.2011.2161396
Article's DOI: 10.1109/TCSI.2011.2161396
Entity: Universitat Rovira i Virgili
Journal publication year: 2012
Publication Type: Journal Publications