Article
Version 1
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Photovoltaic Cell and Module I-V Characteristic Approximation Using Bézier Curves
Version 1
: Received: 1 February 2018 / Approved: 2 February 2018 / Online: 2 February 2018 (07:17:17 CET)
Version 2 : Received: 23 March 2018 / Approved: 23 March 2018 / Online: 23 March 2018 (16:15:01 CET)
Version 2 : Received: 23 March 2018 / Approved: 23 March 2018 / Online: 23 March 2018 (16:15:01 CET)
How to cite: Szabo, R.; Gontean, A. Photovoltaic Cell and Module I-V Characteristic Approximation Using Bézier Curves. Preprints 2018, 2018020014. https://doi.org/10.20944/preprints201802.0014.v1 Szabo, R.; Gontean, A. Photovoltaic Cell and Module I-V Characteristic Approximation Using Bézier Curves. Preprints 2018, 2018020014. https://doi.org/10.20944/preprints201802.0014.v1
Abstract
The aim of this work is to introduce new ways to model the I-V characteristic of a 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 in 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: Voc (the open circuit voltage), Isc (the short circuit current), Vmp (the maximum power corresponding voltage) and Imp (the maximum power corresponding current) and the parasitic resistances Rsh0 (shunt resistance at Isc) and Rs0 (series resistance at Voc). The proposed algorithm completely defines all the implied control points and the error is analyzed. The proposed method is validated for different temperatures and irradiances. The model is finally compared and validated using the least squares fitting method.
Keywords
PV cell; I-V characteristic; model; simulation; interpolation; Bézier curve; control points; least squares fitting method
Subject
Engineering, Electrical and Electronic Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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