The accurate modeling and characterization of the Solar Photovoltaic model is mainly depending on the extraction of parameters of the Photovoltaic cell. These parameters are very essential to study the physical behavior of the photovoltaic module under partial shading conditions. The main contribution of this work is to propose the modeling and analysis of four parameters two-diode photovoltaic model based on the constructor’s information datasheet. The constraints of these two-diode model have been estimated by using an analytical and effective iteration method. The consequence of changing irradiance and temperature on voltage, current, and power at maximum power point is examined under inconsistent ecological conditions. The proposed system requires only four constraints for modeling in comparison to the earlier proposed seven-parameter models with reduced computational complexity. The accuracy and consistency of proposed technique is confirmed by comparing the estimated values with the results of previous developed method. From results and performance comparison analysis it has been seen that the simplified Two-diode photovoltaic model is more precise and has improved performance compared to the one-diode photovoltaic model, specifically at smaller irradiance and higher temperature. The proposed photovoltaic model is implemented by using MATLAB/Simulink environment by analyzing the current-voltage equations and is validated on multicrystalline and monocrystalline photovoltaic cells under Standard Test Conditions (STC).