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A new approach for accurate prediction of subharmonic oscillation in switching regulators-part I: Mathematical derivations

  • Identification data

    Identifier: imarina:5131233
    Authors:
    El Aroudi A.
    Abstract:
    This part of the paper takes a new look at the stability of the fundamental periodic behavior and the associated subharmonic oscillation boundary in dc-dc switching regulators with fixed-frequency pulse width modulation. After revisiting different approaches applied to a unified reduced-order model of switching regulators, the work presents a novel way of obtaining such a boundary without any simplification nor order reduction. A new simple closed-form condition is then obtained using the new approach, which is valid for different strategies with both trailing edge and leading edge modulation schemes. The critical condition is obtained from the steady-state response using an asymptotic approach without resorting to frequency-domain Fourier analysis or using the monodromy or the Jacobian matrix of the discrete-time model. Unlike the method based on the Fourier series expansion, the proposed method does not require the use of any transform and, most importantly, can be applied to bilinear switching regulators. As a byproduct of the proposed method, a singularity problem that is encountered in steady state, when the system involves integrators in the feedback loop, is addressed and a solution is developed to achieve a closed-form expression in the presence of such integrating feedback loops.
  • Others:

    Author, as appears in the article.: El Aroudi A.
    Department: Enginyeria Electrònica, Elèctrica i Automàtica
    URV's Author/s: El Aroudi Chaoui, Abdelali
    Keywords: Time-domain analysis Switched-mode power supplies Power electronics Nonlinear systems Dc-dc power conversion Circuit stability Bilinear systems Bifurcation
    Abstract: This part of the paper takes a new look at the stability of the fundamental periodic behavior and the associated subharmonic oscillation boundary in dc-dc switching regulators with fixed-frequency pulse width modulation. After revisiting different approaches applied to a unified reduced-order model of switching regulators, the work presents a novel way of obtaining such a boundary without any simplification nor order reduction. A new simple closed-form condition is then obtained using the new approach, which is valid for different strategies with both trailing edge and leading edge modulation schemes. The critical condition is obtained from the steady-state response using an asymptotic approach without resorting to frequency-domain Fourier analysis or using the monodromy or the Jacobian matrix of the discrete-time model. Unlike the method based on the Fourier series expansion, the proposed method does not require the use of any transform and, most importantly, can be applied to bilinear switching regulators. As a byproduct of the proposed method, a singularity problem that is encountered in steady state, when the system involves integrators in the feedback loop, is addressed and a solution is developed to achieve a closed-form expression in the presence of such integrating feedback loops.
    Thematic Areas: Interdisciplinar Engineering, electrical & electronic Engenharias iv Engenharias iii Electrical and electronic engineering Ciências agrárias i Ciência da computação
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 08858993
    Author's mail: abdelali.elaroudi@urv.cat
    Author identifier: 0000-0001-9103-7762
    Record's date: 2024-09-07
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://ieeexplore.ieee.org/document/7562350
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Ieee Transactions On Power Electronics. 32 (7): 5651-5665
    APA: El Aroudi A. (2017). A new approach for accurate prediction of subharmonic oscillation in switching regulators-part I: Mathematical derivations. Ieee Transactions On Power Electronics, 32(7), 5651-5665. DOI: 10.1109/TPEL.2016.2606418
    Article's DOI: 10.1109/TPEL.2016.2613888
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2017
    Publication Type: Journal Publications
  • Keywords:

    Electrical and Electronic Engineering,Engineering, Electrical & Electronic
    Time-domain analysis
    Switched-mode power supplies
    Power electronics
    Nonlinear systems
    Dc-dc power conversion
    Circuit stability
    Bilinear systems
    Bifurcation
    Interdisciplinar
    Engineering, electrical & electronic
    Engenharias iv
    Engenharias iii
    Electrical and electronic engineering
    Ciências agrárias i
    Ciência da computação
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