Simplified Lambert W-Function Math Equations When Applied to Photovoltaic Systems Modeling

In this article, simplified and easy-to-work-with equations for the Lambert W-function are derived. This function is widely used to solve equations related to photovoltaic systems. More specifically, this mathematical function represents a useful tool when modeling solar cells/panels performance (th...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on industry applications 2021-03, Vol.57 (2), p.1779-1788
Main Authors: Pindado, Santiago, Roibas-Millan, Elena, Cubas, Javier, Alvarez, Jose Miguel, Alfonso-Corcuera, Daniel, Cubero-Estalrrich, Juan L., Gonzalez-Estrada, Alejandro, Sanabria-Pinzon, Marlon, Jado-Puente, Rocio
Format: Article
Language:English
Subjects:
1-diode/2-resistor model
Equivalent circuits
Integrated circuit modeling
I–V curve
Lambert W-function
Mathematical analysis
Mathematical functions
Mathematical model
Mathematical models
Maximum power point trackers
maximum power point tracking (MPPT)
Maximum power tracking
Photovoltaic cells
photovoltaic systems performance
solar cell
Solar cells
solar panel
Solar panels
Subsystems
Systems modelling
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, simplified and easy-to-work-with equations for the Lambert W-function are derived. This function is widely used to solve equations related to photovoltaic systems. More specifically, this mathematical function represents a useful tool when modeling solar cells/panels performance (that is, the current-voltage curve) by analytical approaches. However, the Lambert W-function has a complex solving process which might represent an unaffordable mathematical challenge for a great number of professionals/technicians in the photovoltaic industrial sector. Simple approximations for the Lambert W-function on both of its branches (positive and negative) are proposed in this article. The results of the present article show a simple but accurate way for photovoltaic systems modeling, even when these systems comprise a maximum power point tracking subsystem.
ISSN:0093-9994
1939-9367
DOI:10.1109/TIA.2021.3052858