In this Part 1 of this series of articles, two iterative cycles are proposed to accurately determine the shunt resistance ( ), the series resistance ( ), the ideality factor ( ), the light current ( ), and the saturation current ( ) of solar cells, within the one diode model. First, and are obtained linearly fitting , where is a new defined current . Then, and are obtained using Procedure A and B proposed in [2]. Once these four solar cell parameters are obtained, a correction to is deduced and applied. The deduction of these five solar cell parameters is reused to recalculate and the iterative cycles are redone till some convergence criteria is achieved. The accuracy and number of cycles necessary to achieve reasonable results are tested and discussed on ideal (noiseless) current voltage ( ) curves with measured points per voltage of , 21, 51 and 101 . These two cycles are compared with two different common parameter extraction methods. The results given in this Part 1 are used in Part 2 to calculate the five solar cell parameters of curves found in the literature. [Abstract copyright: © 2022 Elsevier Ltd.]