Analytical Modeling of the Maximum Power Point with Series Resistance

This paper presents new analytical expressions for the maximum power point voltage, current, and power that have an explicit dependence on the series resistance. An explicit expression that relates the series resistance to well-known solar cell parameters was also derived. The range of the validity...

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Bibliographic Details
Published in:Applied sciences 2021-11, Vol.11 (22), p.10952
Main Authors: Garcia, Alfredo Sanchez, Strandberg, Rune
Format: Article
Language:English
Subjects:
Accuracy
analytical expressions
Approximation
Lambert’s W function
Mathematical models
Maximum power
maximum power point
Numerical models
Photovoltaic cells
series resistance
Solar cells
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Summary:This paper presents new analytical expressions for the maximum power point voltage, current, and power that have an explicit dependence on the series resistance. An explicit expression that relates the series resistance to well-known solar cell parameters was also derived. The range of the validity of the model, as well as the mathematical assumptions taken to derive it are explained and discussed. To test the accuracy of the derived model, a numerical single-diode model with solar cell parameters whose values can be found in the latest installment of the solar cell efficiency tables was used. The accuracy of the derived model was found to increase with increasing bandgap and to decrease with increasing series resistance. An experimental validation of the analytical model is provided and its practical limitations addressed. The new expressions predicted the maximum power obtainable by the studied cells with estimated errors below 0.1% compared to the numerical model, for typical values of the series resistance.
ISSN:2076-3417
2076-3417
DOI:10.3390/app112210952