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

  • Dades identificatives

    Identificador: imarina:5131233
    Autors:
    El Aroudi A.
    Resum:
    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.
  • Altres:

    Autor segons l'article: El Aroudi A.
    Departament: Enginyeria Electrònica, Elèctrica i Automàtica
    Autor/s de la URV: El Aroudi Chaoui, Abdelali
    Paraules clau: Time-domain analysis Switched-mode power supplies Power electronics Nonlinear systems Dc-dc power conversion Circuit stability Bilinear systems Bifurcation
    Resum: 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.
    Àrees temàtiques: Interdisciplinar Engineering, electrical & electronic Engenharias iv Engenharias iii Electrical and electronic engineering Ciências agrárias i Ciência da computação
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 08858993
    Adreça de correu electrònic de l'autor: abdelali.elaroudi@urv.cat
    Identificador de l'autor: 0000-0001-9103-7762
    Data d'alta del registre: 2024-09-07
    Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
    Enllaç font original: https://ieeexplore.ieee.org/document/7562350
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Ieee Transactions On Power Electronics. 32 (7): 5651-5665
    Referència de l'ítem segons les normes 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
    DOI de l'article: 10.1109/TPEL.2016.2613888
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2017
    Tipus de publicació: Journal Publications
  • Paraules clau:

    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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