Volume 18, Issue 1 (March 2022)                   IJEEE 2022, 18(1): 2013-2013 | Back to browse issues page

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Mchaouar Y, Abouloifa A, Lachkar I, Katir H, Giri F, El Aroudi A, et al . Singular Perturbation Theory for PWM AC/DC Converters: Cascade Nonlinear Control Design and Stability Analysis. IJEEE 2022; 18 (1) :2013-2013
URL: http://ijeee.iust.ac.ir/article-1-2013-en.html
Singular Perturbation Theory for PWM AC/DC Converters: Cascade Nonlinear Control Design and Stability Analysis
Y. Mchaouar , A. Abouloifa , I. Lachkar , H. Katir , F. Giri , A. El Aroudi , A. Elallali , C. Taghzaoui
Abstract:   (2711 Views)
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.
Keywords: Singular Perturbation , PWM AC/DC Converters , Nonlinear Control , Power Factor Correction , Averaging Theory , Stability Analysis
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  • This is the first time that a rigorous and complete analysis of the dynamics of the open-loop AC/DC converters has been carried out to examine the power factor correction. Previous researches missed an open-loop formal study. For this purpose, a relationship among inductance, capacitance, and parasitic resistances (which were ignored in most previous studies) is established using the singular perturbation technique.
  • It is formally proven in this study that the control objectives (i.e. Power Factor Correction and DC voltage regulation) are successfully accomplished by a systematic theoretical analysis focusing, for the first time, on new techniques such as three-time scale singular perturbation and averaging theory. Previous researches lacked a closed-loop formal analysis.
  • In contrast to many studies that rely on traditional methods (sliding mode, backstepping, passivity, etc.), this paper presents a new control approach based on the multi-time scale singular perturbation technique for performance analysis and control. This technique has recently attracted a lot of interest thanks to the multi-time scale nature of static power converters.

Type of Study: Research Paper | Subject: Nonlinear Control
Received: 2020/10/16 | Revised: 2021/05/07 | Accepted: 2021/05/28
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© 2022 by the authors. Licensee IUST, Tehran, Iran. This is an open access journal distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license.