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Abstract
The current–voltage (I–V) curves of solar photovoltaic (PV) systems have been widely used as a tool to determine their electrical operation. Usually, I–V curves are described employing three cardinal points: the shortcircuit point 0,I_{sc}, the opencircuit point V_{oc},0, and the maximum power point V_{mp},I_{mp}. In this context, to study the I–V curves, the singlediode model (SDM) is often used. In this manuscript, we present a practical approach for determining the parameters domain of the SDM given a set of cardinal points. An indepth mathematical analysis showed that the SDM must satisfy the following inequalities [Formula presented] and [Formula presented]. Then, it is possible to implicitly represent the SDM by a single parameter and, consequently, to determine its domain. For this purpose, a fast opensource computational algorithm for the single parameter domain of the SDM is presented. The algorithm has been computertested using 40000 synthetically generated maximum power points which are processed in about one minute of the CPU time on a standard laptop computer. Moreover, as practical applications, the databases from the California Energy Commission and the NREL are analyzed using the presented algorithm.
Original language  British English 

Article number  112718 
Journal  Solar Energy 
Volume  277 
DOIs  
State  Published  15 Jul 2024 
Keywords
 Mathematical analysis
 Photovoltaic singlediode model (SDM)
 Photovoltaic systems
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FSU2023014 [D. Dutykh]  Nonlinear waves in geophysics and biomechanics
Dutykh, D. (PI)
1/02/23 → 31/01/25
Project: Research