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A ripple-based design-oriented approach for predicting fast-scale instability in DC-DC switching power supplies

  • Identification data

    Identifier: imarina:9285145
    Authors:
    Rodriguez, EnricEl Aroudi, AbdelaliGuinjoan, FranciscoAlarcon, Eduard
    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.
  • Others:

    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
    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
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2012
    Publication Type: Journal Publications
  • Keywords:

    Electrical and Electronic Engineering,Engineering, Electrical & Electronic,Hardware and Architecture
    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
    Matemática / probabilidade e estatística
    Interdisciplinar
    Hardware and architecture
    Engineering, electrical & electronic
    Engenharias iv
    Engenharias iii
    Electrical and electronic engineering
    Ciência da computação
    Astronomia / física
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