Optimal fractional-order PI with DC-DC converter and PV system

Abstract This paper presents a design and analysis for the PV system with a DC-DC boost converter controlled by the Fractional Order PI controller (FOPI). The study includes obtaining the optimal parameters for the PV model and the operating parameters for the FOPI controller. The first part’s objective function is to search a five-parameter model based on the data-sheet given by commercial PV modules for a single-diode (SD) model. In the second part of the study, a detailed comparison is executed versus P, PI, PID, and FOPI controllers showing the effect of implementing Fractional order controllers on the results. A new application of the flower pollination algorithm (FPA) and water cycle algorithm (WCA) is presented to identify the models parameters of PV modules and the FOPI controller’s tuning. The booster converter model’s simulations demonstrate that the proposed optimal FOPI controller can improve the feedback system’s transient response by reducing its control effort with the optimal PID controller. The FOPI controller also increases the robustness of the boost converter to trace in input voltage. The results show that FPA demonstrated better performance in two aspects, finding the PV model’s parameters and obtaining the optimal parameters for the FOPI controller.

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