An improved Fractional MPPT Method by Using a Small Circle Approximation of the P–V Characteristic Curve

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 proposal makes use of a mathematical function that describes the relationship between power and voltage in a PV module in...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-01, Vol.11 (3), p.526
Main Authors: Bárcenas-Bárcenas, Ernesto, Espinoza-Trejo, Diego R., Pecina-Sánchez, José A., Álvarez-Macías, Héctor A., Compeán-Martínez, Isaac, Vértiz-Hernández, Ángel A.
Format: Article
Language:English
Subjects:
Accuracy
Aging
Algorithms
Approximation theory
Circuits
Controllers
Exact solutions
Food science
Mathematical analysis
mathematical model
maximum power point trackers
Maximum power tracking
Methods
MPP reference generator
Open circuit voltage
Photovoltaic cells
Photovoltaic power generation
Proposals
PV module
Short circuit currents
Citations: Items that this one cites
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Summary: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 proposal makes use of a mathematical function that describes the relationship between power and voltage in a PV module in a neighborhood including the maximum power point (MPP). The function is 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 it provides an explicit mathematical expression for calculation of the voltage at the maximum power point (vMPP) with high accuracy. Even more, complex calculations, manufacturer data, the measurements of short circuit current (iSC) and open-circuit voltage (vOC) are not required, making the proposal less invasive than other solutions. The proposed method is validated using the P–V curve of one PV module. Experimental work demonstrates the speed in the calculation of vMPP and the feasibility of the proposed solution. In addition, this MPPT proposal requires only the typical and available measurements, namely, PV voltage and current. Consequently, the proposed method could be implemented in most PV applications.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11030526