Abstract
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.
Highlights
IntroductionFinance (BNEF) predicts an optimistic growth at 111 GW in 2018, rising to 121 GW in 2019, along with a polysilicon factory growth boom and module prices drop to US$ 0.30/W [1,2]
The forecast of the total photovoltaic (PV) installations, offered by Bloomberg New EnergyFinance (BNEF) predicts an optimistic growth at 111 GW in 2018, rising to 121 GW in 2019, along with a polysilicon factory growth boom and module prices drop to US$ 0.30/W [1,2]
The electrical characteristics of the PV cell and PV modules have been of interest for several decades, and different models have been proposed
Summary
Finance (BNEF) predicts an optimistic growth at 111 GW in 2018, rising to 121 GW in 2019, along with a polysilicon factory growth boom and module prices drop to US$ 0.30/W [1,2]. This robust growth explains the high interest in PV research, modeling, and simulation–along with design and development of PV equipment. The electrical characteristics of the PV cell and PV modules have been of interest for several decades, and different models have been proposed. Garrido-Alzar [4] uses a double exponential model to extract the PV cell parameters using the experimental I-V curve. Ishaque and Salam [9] use differential evolution to find the PV modules parameters
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