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Singular Perturbation Theory for PWM AC/DC Converters: Cascade Nonlinear Control Design and Stability Analysis

  • Identification data

    Identifier: imarina:9258965
    Handle: https://hdl.handle.net/20.500.11797/imarina9258965
    Authors:
    McHaouar YAbouloifa ALachkar IKatir HGiri FEl Aroudi AElallali ATaghzaoui C
    Abstract:
    In this paper, the problem of controlling PWM single-phase AC/DC converters is addressed. The control objectives are twofold: (i) regulating the output voltage to a selected reference value, and (ii) ensuring a unitary power factor by forcing the grid current to be in phase with the grid voltage. To achieve these objectives, the singular perturbation technique is used to prove that the power factor correction can be done in the open-loop system with respect to certain conditions that are not likely to take place in reality. It is also applied to fulfill the control objectives in the closed-loop through a cascade nonlinear controller based on the three-time scale singular perturbation theory. Additionally, this study develops a rigorous and complete formal stability analysis, based on multi-time-scale singular perturbation and averaging theory, to examine the performance of the proposed controller. The theoretical results have been validated by numerical simulation in MATLAB/Simulink/SimPowerSystems environment.

  • Others:

    Author, as appears in the article.: McHaouar Y; Abouloifa A; Lachkar I; Katir H; Giri F; El Aroudi A; Elallali A; Taghzaoui C
    Department: Enginyeria Electrònica, Elèctrica i Automàtica
    URV's Author/s: El Aroudi Chaoui, Abdelali
    Keywords: Stability analysis Singular perturbation Pwm ac/dc converters Power factor correction Nonlinear control Averaging theory
    Abstract: In this paper, the problem of controlling PWM single-phase AC/DC converters is addressed. The control objectives are twofold: (i) regulating the output voltage to a selected reference value, and (ii) ensuring a unitary power factor by forcing the grid current to be in phase with the grid voltage. To achieve these objectives, the singular perturbation technique is used to prove that the power factor correction can be done in the open-loop system with respect to certain conditions that are not likely to take place in reality. It is also applied to fulfill the control objectives in the closed-loop through a cascade nonlinear controller based on the three-time scale singular perturbation theory. Additionally, this study develops a rigorous and complete formal stability analysis, based on multi-time-scale singular perturbation and averaging theory, to examine the performance of the proposed controller. The theoretical results have been validated by numerical simulation in MATLAB/Simulink/SimPowerSystems environment.
    Thematic Areas: Energy engineering and power technology Energy (all) Electrical and electronic engineering
    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: 2024-09-07
    Papper version: info:eu-repo/semantics/publishedVersion
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Iranian Journal Of Electrical And Electronic Engineering. 18 (1):
    APA: McHaouar Y; Abouloifa A; Lachkar I; Katir H; Giri F; El Aroudi A; Elallali A; Taghzaoui C (2022). Singular Perturbation Theory for PWM AC/DC Converters: Cascade Nonlinear Control Design and Stability Analysis. Iranian Journal Of Electrical And Electronic Engineering, 18(1), -. DOI: 10.22068/IJEEE.18.1.2013
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2022
    Publication Type: Journal Publications

  • Keywords:

    Electrical and Electronic Engineering,Energy Engineering and Power Technology
    Stability analysis
    Singular perturbation
    Pwm ac/dc converters
    Power factor correction
    Nonlinear control
    Averaging theory
    Energy engineering and power technology
    Energy (all)
    Electrical and electronic engineering

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