Analytical Taylor-simplified explicit model for PV modules integrated to power converter as a system

The work presents a novel explicit model for extracting characteristics of the photovoltaic (PV) system, providing a direct analytical solution without the need for iterative methods or predefined initial conditions. The proposed PV computation method is derived from the Single Diode Model, which is selected for its balance between accuracy and simplicity in modeling PV modules. It employs Taylor's simplified model that transforms the traditionally implicit equations into an explicit form. The proposed solution eliminates the computational burden of iterative solvers while maintaining accuracy. In addition, the comparative analysis of the proposed method provides a direct, precise, and fast solution for curve computation, compared to the existing methods such as fzero, fsolve, Newton-Raphson, Lambert W, and Taylor series expansion. Unlike most PV models that express current as a function of voltage, I(V), the proposed approach models current as a function of duty cycle, I(D), while incorporating non-ideal parameters enabling a more realistic representation of the PV system, and the accuracy is verified with experimental results.