Simplified Lambert W-Function Math Equations When Applied to Photovoltaic Systems Modeling
| Autor: | Jose Miguel Alvarez, Elena Roibás-Millán, Javier Cubas, Rocio Jado-Puente, Daniel Alfonso-Corcuera, Santiago Pindado, Marlon Sanabria-Pinzon, Juan L. Cubero-Estalrrich, Alejandro Gonzalez-Estrada |
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| Rok vydání: | 2021 |
| Předmět: |
020209 energy
Photovoltaic system Process (computing) 02 engineering and technology Function (mathematics) 021001 nanoscience & nanotechnology Industrial and Manufacturing Engineering Maximum power point tracking Aeronáutica symbols.namesake Control and Systems Engineering Simple (abstract algebra) Lambert W function Energías Renovables 0202 electrical engineering electronic engineering information engineering symbols Equivalent circuit Applied mathematics Electrical and Electronic Engineering 0210 nano-technology Mathematics |
| Zdroj: | IEEE Transactions on Industry Applications, ISSN 0093-9994, 2021-03, Vol. 57, No. 2 Archivo Digital UPM Universidad Politécnica de Madrid |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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