Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control

The integration of the large-scale photovoltaic systems has experienced significant growth, which is similarly expected to occur with small-scale photovoltaic systems. Since small-scale systems must be simple in cost-effective components, control strategies must be implemented in low complexity circ...

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Main Authors: Hicham El Aiss, Karina A. Barbosa, Hector Chavez, Carlos Rodriguez
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Photoenergy
Online Access:http://dx.doi.org/10.1155/2021/7552200
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author Hicham El Aiss
Karina A. Barbosa
Hector Chavez
Carlos Rodriguez
author_facet Hicham El Aiss
Karina A. Barbosa
Hector Chavez
Carlos Rodriguez
author_sort Hicham El Aiss
collection DOAJ
description The integration of the large-scale photovoltaic systems has experienced significant growth, which is similarly expected to occur with small-scale photovoltaic systems. Since small-scale systems must be simple in cost-effective components, control strategies must be implemented in low complexity circuits. However, current maximum power point tracking (MPPT) algorithms are generally complex and require electronic components to support variable control gains for different irradiance conditions, preventing simple MPPT implementations suitable for small-scale photovoltaic systems. This paper proposes a new control strategy to tackle the power tracking problem of the power systems. First, a dynamic model of the photovoltaic system is described and converted into a Takagi–Sugeno (T-S) model. Then, an MPPT scheme is proposed in series with a fixed integral and a fuzzy gain state delay feedback controller, which avoids the need for a variable control gain, simplifying the electronic implementation of the control strategy. New delay-dependent stabilization conditions based on the Lyapunov-Krasovskii functional are proposed in terms of a convex optimization problem, where the delayed feedback and integral gains are designed simultaneously. Simulation results using Matlab and Simulink are used to validate the proposed method.
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institution Kabale University
issn 1110-662X
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language English
publishDate 2021-01-01
publisher Wiley
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series International Journal of Photoenergy
spelling doaj-art-10d05d6bd2d24c5a97be9fcd3a6a3e0e2025-02-03T07:23:26ZengWileyInternational Journal of Photoenergy1110-662X1687-529X2021-01-01202110.1155/2021/75522007552200Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and ControlHicham El Aiss0Karina A. Barbosa1Hector Chavez2Carlos Rodriguez3Departamento de Ingenieria Electrica, Universidad de Santiago de Chile, Estación Central, Santiago, ChileDepartamento de Ingenieria Electrica, Universidad de Santiago de Chile, Estación Central, Santiago, ChileDepartamento de Ingenieria Electrica, Universidad de Santiago de Chile, Estación Central, Santiago, ChileDepartamento de Ingenieria Electrica, Universidad de Santiago de Chile, Estación Central, Santiago, ChileThe integration of the large-scale photovoltaic systems has experienced significant growth, which is similarly expected to occur with small-scale photovoltaic systems. Since small-scale systems must be simple in cost-effective components, control strategies must be implemented in low complexity circuits. However, current maximum power point tracking (MPPT) algorithms are generally complex and require electronic components to support variable control gains for different irradiance conditions, preventing simple MPPT implementations suitable for small-scale photovoltaic systems. This paper proposes a new control strategy to tackle the power tracking problem of the power systems. First, a dynamic model of the photovoltaic system is described and converted into a Takagi–Sugeno (T-S) model. Then, an MPPT scheme is proposed in series with a fixed integral and a fuzzy gain state delay feedback controller, which avoids the need for a variable control gain, simplifying the electronic implementation of the control strategy. New delay-dependent stabilization conditions based on the Lyapunov-Krasovskii functional are proposed in terms of a convex optimization problem, where the delayed feedback and integral gains are designed simultaneously. Simulation results using Matlab and Simulink are used to validate the proposed method.http://dx.doi.org/10.1155/2021/7552200
spellingShingle Hicham El Aiss
Karina A. Barbosa
Hector Chavez
Carlos Rodriguez
Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control
International Journal of Photoenergy
title Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control
title_full Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control
title_fullStr Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control
title_full_unstemmed Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control
title_short Takagi–Sugeno State Delayed Feedback and Integral Control for PV Systems: Modeling, Simulation, and Control
title_sort takagi sugeno state delayed feedback and integral control for pv systems modeling simulation and control
url http://dx.doi.org/10.1155/2021/7552200
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AT karinaabarbosa takagisugenostatedelayedfeedbackandintegralcontrolforpvsystemsmodelingsimulationandcontrol
AT hectorchavez takagisugenostatedelayedfeedbackandintegralcontrolforpvsystemsmodelingsimulationandcontrol
AT carlosrodriguez takagisugenostatedelayedfeedbackandintegralcontrolforpvsystemsmodelingsimulationandcontrol