A new explicit I-V model of a solar cell based on Taylor's series expansion

This paper proposes a new explicit current-voltage (I-V) modelling approach for the single-diode model of solar cells. An accurate I-V model of solar cells is inherently implicit and nonlinear, which calls for iterative calculations to obtain an analytical expression of current I as function of voltage V. In the paper, a new method based on Taylor's series expansion is proposed and then an explicit analytical description of current I is obtained. Furthermore, two different modified five-parameter models based on Taylor's series expansion are constructed. To validate the accuracy of the models proposed in the paper, two different photovoltaic (PV) arrays are tested at different irradiance and temperature conditions. We make a comparison between the proposed models and the other explicit models. Simulation results show the proposed models are simple, accurate and effective explicit models for solar cells.