Lambert W function simplified expressions for photovoltaic current voltage modelling
In this paper, the first work carried out at the IDR/UPM Institute within the frame of the educational innovation project PIRAMIDE is presented. This work is related to photovoltaic behavior modeling simplification. The aim is to derive simplified and easy to work with equations for the Lambert W function. This mathematical function represents a quite 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 from the photovoltaic industrial sector. Simple approximations for the Lambert W function on both of its branches (positive and negative) are proposed in this work. The results of the present work show a simple but accurate way of photovoltaic systems modeling, even when working with the implicit equation of the 1 Diode/2 Resistor equivalent circuit model (whose solution is given in the present work by an explicit equation)
2020 IEEE International Conference on Environment and Electrical Engineering and 2020 IEEE Industrial and Commercial Power Systems Europe (EEEIC I&CPS Europe)