An improved Fractional MPPT Method by Using a Small Circle Approximation of the P–V Characteristic Curve
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abstract
This paper presents an analytical solution to the maximum power point tracking (MPPT)problem for photovoltaic (PV) applications in the form of an improved fractional method. The pro-posal makes use of a mathematical function that describes the relationship between power andvoltage in a PV module in a neighborhood including the maximum power point (MPP). The functionis generated by using only three points of the P–V curve. Next, by using geometrical relationships,an analytical value for the MPP can be obtained. The advantage of the proposed technique is that itprovides an explicit mathematical expression for calculation of the voltage at the maximum powerpoint (vMPP) with high accuracy. Even more, complex calculations, manufacturer data, the mea-surements of short circuit current (iSC) and open-circuit voltage (vOC) are not required, making theproposal less invasive than other solutions. The proposed method is validated using the P–V curveof one PV module. Experimental work demonstrates the speed in the calculation ofvMPPand thefeasibility of the proposed solution. In addition, this MPPT proposal requires only the typical andavailable measurements, namely, PV voltage and current. Consequently, the proposed method couldbe implemented in most PV applications.
