Photovoltaic Cell and Module I-V Characteristic Approximation Using Bézier Curves

The aim of this work was to introduce new ways to model the I-V characteristic of a photovoltaic (PV) cell or PV module using straight lines and Bézier curves. This is a complete novel approach, Bézier curves being previously used mainly for computer graphics. The I-V characteristic is divided into...

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Bibliographic Details
Published in:Applied sciences 2018-05, Vol.8 (5), p.655
Main Authors: Szabo, Roland, Gontean, Aurel
Format: Article
Language:English
Subjects:
Abbreviations
Air temperature
Algorithms
Archives & records
Bézier curve
Coefficients
Computer simulation
control points
Cyclin-dependent kinase inhibitor p21
Efficiency
Errors
I-V characteristic
interpolation
Irradiance
Lead
least squares fitting method
Least squares method
Open circuit voltage
Personal computers
Photovoltaic cells
Photovoltaics
PV cell
Short circuit currents
Shunt resistance
simulation
Solar arrays
Solar cells
Solar collectors
Solar power
Symbols
Temperature gradients
Voltage
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Summary:The aim of this work was to introduce new ways to model the I-V characteristic of a photovoltaic (PV) cell or PV module using straight lines and Bézier curves. This is a complete novel approach, Bézier curves being previously used mainly for computer graphics. The I-V characteristic is divided into three sections, modeled with lines and a quadratic Bézier curve in the first case and with three cubic Bézier curves in the second case. The result proves to be accurate and relies on the fundamental points usually present in the PV cell datasheets: V o c (the open circuit voltage), I s c (the short circuit current), V m p (the maximum power corresponding voltage) and I m p (the maximum power corresponding current), and the parasitic resistances R s h 0 (shunt resistance at I s c ) and R s 0 (series resistance at V o c ). The proposed algorithm completely defines all the implied control points and the error is analyzed. The temperature and irradiance influence is also analyzed. The model is also compared using the least squares fitting method. The final validation shows how to use Bézier cubic curves to accurately represent the I-V curves of an extensive range of PV cells and arrays.
ISSN:2076-3417
2076-3417
DOI:10.3390/app8050655