<p>The physical modelling of the photovoltaic (PV) cells represents an important step to assess the electrical performances of PV systems. In this work, a novel algorithm to determine the unknowns parameters of the double-diode model is suggested. This techniquecombines analytical equations with an iterative process. Indeed, the main idea is to simultaneously iterate the ideality factors (a₁,a₂) and solve a set of manufacturer-based equations at the standard test conditions (STC), generating 2D matrices of unknown parameters. The optimal physical parameters are selected based on the lowest absolute relativeerror between computed and experimental powers at the maximum power point (MPP). The particularity of this technique is to not assume any parameter or initial condition, and relies solely on an iterative process with a numerical solution. The technique validation is performed by comparing the resulting characteristics of two PV modules with manufacturer data and various techniques from the literature. The accuracy is proved by the good fitting of generated current-voltage (I-V) curves with those provided by the manufacturer. Further, the computed powers at the MPP are very close to manufacturer-based ones for diverse fluctuations of solar irradiance and temperature, especially at the low-variations with an error that does not exceeds 2.51%.</p>