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

Applied Electronics Department, Politehnica University Timisoara, Timisoara 300006, Romania
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Appl. Sci. 2018, 8(5), 655; https://doi.org/10.3390/app8050655
Received: 23 March 2018 / Revised: 30 March 2018 / Accepted: 12 April 2018 / Published: 24 April 2018
(This article belongs to the Section Energy)
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. View Full-Text
Keywords: PV cell; I-V characteristic; model; simulation; interpolation; Bézier curve; control points; least squares fitting method PV cell; I-V characteristic; model; simulation; interpolation; Bézier curve; control points; least squares fitting method
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MDPI and ACS Style

Szabo, R.; Gontean, A. Photovoltaic Cell and Module I-V Characteristic Approximation Using Bézier Curves. Appl. Sci. 2018, 8, 655.

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