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Nonlinear Controller Design and Stability Analysis for Single-Phase Grid-Connected Photovoltaic Systems

Chaouqi Aouadi(1*), Abdelmajid Abouloifa(2), Ibtissam Lachkar(3), Meriem Aourir(4), Yasser Boussairi(5), Abdelatif Hamdoun(6)

(1) LTI Lab, Faculty of Sciences Ben M’sik, University Hasan II of Casablanca, Morocco
(2) LTI Lab, Faculty of Sciences Ben M’sik, University Hasan II of Casablanca, Morocco
(3) LRI Lab, ENSEM of Casablanca, University Hasan II of Casablanca, Morocco
(4) LTI Lab, Faculty of Sciences Ben M’sik, University Hasan II of Casablanca, Morocco
(5) LTI Lab, Faculty of Sciences Ben M’sik, University Hasan II of Casablanca, Morocco
(6) LTI Lab, Faculty of Sciences Ben M’sik, University Hasan II of Casablanca, Morocco
(*) Corresponding author



In this paper, the control problem of single phase grid tied to the photovoltaic (PV) systems is presented. The proposed system involves two main controllers: three-phase inverter with LCL filter controller and the DC/DC boost converter controller. These controllers are designed to achieve the following three control objectives: (i) the PV voltage must be controlled to achieve the maximum power point; (ii) maintaining the intermediate voltage to a constant reference value; (iii) Providing a grid current with sinusoidal form and in phase with the grid voltage by means of controlling DC/AC converter (Power Factor Correction). To meet these threefold objectives, a cascade nonlinear controllers is developed making use of Backstepping technique with the Lyapunov function. So as to guarantee the stability of the whole system, these objectives should be achieved simultaneously. A nonlinear controller is designed using Backstepping approach for PFC and PV voltage regulator design. to achieve DC voltage regulation a filtered PI regulator type is used. The stability of the system is formally analysed using averaging theory. The controller performances are illustrated by simulation in MATLAB/Simulink environment.
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Averaging Theory; PV-Array; Averaging Model; MPPT; PFC; Backstepping Approach; Lyapunov Stability; Stability Analysis

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