Mathematical modeling and extraction of parameter of photovoltaic module based on modified Newton-Raphson method

Abstract

Photovoltaic (PV) generators are represented by varoius types of electrical equivalent circuits. Each of which describes the output current-voltage relationship under particular operating con ditions. Ideal model, single and double diode models are examples to representation of photo voltaic cell/module. In order to assess the performance of PV generators, one needs to extract essential parameters of PV module. This dissertation introduces a numerical approach for estimating four crucial physical parameters within a single-diode circuit model based on the manufacturer’s datasheet. The methodology involves establishing a system of four non-linear equations derived from three pivotal points in PV characteristics. Through suggested iterative approach, the photocurrent, saturation current, ideality factor, and series resistance are deter mined utilizing the proposed method. Validation of the suggested technique is conducted using RTCFrance solar cell, Chloride CHL285P, and Photowatt PWP210 modules. The obtained re sults are compared with in-field outdoor measurements, demonstrating a commendable agree ment with the experimental data. Furthermore, the selected model is subjected to simulation in the MATLAB environment to evaluate its response to external physical weather conditions, specifically temperature and solar irradiance. Notably, the proposed method exhibits a faster convergence compared to the widely utilized Newton method, emphasizing its efficiency. The significance of modeling PV cells/modules is underscored as it plays a crucial role in predicting the performance of photovoltaic generators under varying operating conditions. This numer ical method contributes to the field by offering a quicker convergence compared to existing techniques, thereby enhancing its practical utility.