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

Ernesto Bárcenas-Bárcenas (), Diego R. Espinoza-Trejo, José A. Pecina-Sánchez, Héctor A. Álvarez-Macías, Isaac Compeán-Martínez and Ángel A. Vértiz-Hernández
Additional contact information
Ernesto Bárcenas-Bárcenas: Academic Coordination of the Altiplano-Region Campus, Autonomous University of San Luis Potosi, Matehuala, San Luis Potosi 78700, Mexico
Diego R. Espinoza-Trejo: Academic Coordination of the Altiplano-Region Campus, Autonomous University of San Luis Potosi, Matehuala, San Luis Potosi 78700, Mexico
José A. Pecina-Sánchez: Academic Coordination of the Altiplano-Region Campus, Autonomous University of San Luis Potosi, Matehuala, San Luis Potosi 78700, Mexico
Héctor A. Álvarez-Macías: Academic Coordination of the Altiplano-Region Campus, Autonomous University of San Luis Potosi, Matehuala, San Luis Potosi 78700, Mexico
Isaac Compeán-Martínez: Academic Coordination of the Altiplano-Region Campus, Autonomous University of San Luis Potosi, Matehuala, San Luis Potosi 78700, Mexico
Ángel A. Vértiz-Hernández: Academic Coordination of the Altiplano-Region Campus, Autonomous University of San Luis Potosi, Matehuala, San Luis Potosi 78700, Mexico

Mathematics, 2023, vol. 11, issue 3, 1-15

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 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 ( v M P P ) with high accuracy. Even more, complex calculations, manufacturer data, the measurements of short circuit current ( i S C ) and open-circuit voltage ( v O C ) 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 v M P P 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.

Keywords: PV module; mathematical model; MPP reference generator; maximum power point trackers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/3/526/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/3/526/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:3:p:526-:d:1040191

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().