Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design

Based on full and rigorous study, this paper addresses the issue of ensuring a feasible association in practice between a Proton Exchange Membrane Fuel Cell (PEMFC) and DC-DC power converters including a buck and boost converter. This association is mathematically modeled, analyzed, and controlled b...

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Main Authors: Fatima Zahra Belhaj, Hassan El Fadil, Zakariae El Idrissi, Mohamed Koundi, Khawla Gaouzi
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/9/11/1889
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author Fatima Zahra Belhaj
Hassan El Fadil
Zakariae El Idrissi
Mohamed Koundi
Khawla Gaouzi
author_facet Fatima Zahra Belhaj
Hassan El Fadil
Zakariae El Idrissi
Mohamed Koundi
Khawla Gaouzi
author_sort Fatima Zahra Belhaj
collection DOAJ
description Based on full and rigorous study, this paper addresses the issue of ensuring a feasible association in practice between a Proton Exchange Membrane Fuel Cell (PEMFC) and DC-DC power converters including a buck and boost converter. This association is mathematically modeled, analyzed, and controlled by an optimal PID controller. Using absolute stability tools with a rigorous analytical approach that takes into consideration windup effects, in addition to the nonlinear behavior of the Proton Exchange Membrane Fuel Cell, sufficient conditions are provided to ensure that the closed-loop system is L<sub>2</sub>-stable. These conditions allow the optimal PID controller parameters to be chosen and ensure the closed-loop system stability, by tracking reference outputs, and an optimal performance against perturbations. Formal analysis, numerical simulations, and experimental validation were carried out to verify that the PID controller designed with an anti-windup action is robust and meets all of the pre-defined objectives. Moreover, this study demonstrates that the association between the PEMFC and the DC-DC converters is achieved if only certain conditions are met.
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spelling doaj.art-cd960b8dcfe942d1977515634af6c73b2023-11-20T20:30:35ZengMDPI AGElectronics2079-92922020-11-01911188910.3390/electronics9111889Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller DesignFatima Zahra Belhaj0Hassan El Fadil1Zakariae El Idrissi2Mohamed Koundi3Khawla Gaouzi4ENSA, Ibn Tofail University, Kenitra 14000, MoroccoENSA, Ibn Tofail University, Kenitra 14000, MoroccoENSA, Ibn Tofail University, Kenitra 14000, MoroccoENSA, Ibn Tofail University, Kenitra 14000, MoroccoENSA, Ibn Tofail University, Kenitra 14000, MoroccoBased on full and rigorous study, this paper addresses the issue of ensuring a feasible association in practice between a Proton Exchange Membrane Fuel Cell (PEMFC) and DC-DC power converters including a buck and boost converter. This association is mathematically modeled, analyzed, and controlled by an optimal PID controller. Using absolute stability tools with a rigorous analytical approach that takes into consideration windup effects, in addition to the nonlinear behavior of the Proton Exchange Membrane Fuel Cell, sufficient conditions are provided to ensure that the closed-loop system is L<sub>2</sub>-stable. These conditions allow the optimal PID controller parameters to be chosen and ensure the closed-loop system stability, by tracking reference outputs, and an optimal performance against perturbations. Formal analysis, numerical simulations, and experimental validation were carried out to verify that the PID controller designed with an anti-windup action is robust and meets all of the pre-defined objectives. Moreover, this study demonstrates that the association between the PEMFC and the DC-DC converters is achieved if only certain conditions are met.https://www.mdpi.com/2079-9292/9/11/1889fuel cellPEMFCDC-DC power convertersoptimal PID controlleranti-windupL<sub>2</sub>-stability
spellingShingle Fatima Zahra Belhaj
Hassan El Fadil
Zakariae El Idrissi
Mohamed Koundi
Khawla Gaouzi
Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design
Electronics
fuel cell
PEMFC
DC-DC power converters
optimal PID controller
anti-windup
L<sub>2</sub>-stability
title Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design
title_full Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design
title_fullStr Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design
title_full_unstemmed Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design
title_short Modeling, Analysis and Experimental Validation of the Fuel Cell Association with DC-DC Power Converters with Robust and Anti-Windup PID Controller Design
title_sort modeling analysis and experimental validation of the fuel cell association with dc dc power converters with robust and anti windup pid controller design
topic fuel cell
PEMFC
DC-DC power converters
optimal PID controller
anti-windup
L<sub>2</sub>-stability
url https://www.mdpi.com/2079-9292/9/11/1889
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