The Newton Raphson Method in the Extraction of Parameters of PV Modules

Abstract

This research is justified by the expansion of electrical systems and the large-scale adoption of small electric power generation systems, in this particular case the semiconductor photovoltaic(PV) systems connected to the grid. In order to analyse these systems it is imperative that the parameters of these generation systems are of reasonable reliability. This research aims to study mathematical methods to obtain parameters of photovoltaic modules for static and dynamic studies in medium voltage electrical energy systems. Therefore, it is necessary to use equations that characterize this generation system, depending on the parameters of interest. These model parameters are: generated photo current, reverse saturation current, ideality factor, series resistance and parallel resistance. These parameters are of fundamental importance for the simulation of this generation system and the reconstruction of V.I and P.V curves of photovoltaic systems in power systems. Other genetic algorithm methods have already been used in this research in the past to obtain these parameters when totally unknown [1], [2]. The Newton Raphson method is a mathematical method widely used in power systems and can be used when one has a rough idea of the solution. This article clearly shows the possibility of using this fast method.