THE ANALYSIS OF PHOTOVOLTAIC MODULE NONLINEAR EXPONENTIAL MODEL

Abstract

The development of methods for analyzing the characteristics of photovoltaic modules requires the improvement of nonlinear exponential models in order to improve the accuracy of the mathematical description of the dependences between voltage and current in the conditions of transient processes. The known exponential models are characterized by errors in the conditions of transient processes and implicit forms of dependencies between the parameters of photovoltaic modules, that significantly reduce their effectiveness in the process of implementing cyber-physical energy systems, which are actively developing in recent years.

The main tasks, solved in the photovoltaic modules modeling, are obtaining clear dependences of current on voltage, illumination and temperature, as well as the development of effective numerical algorithms for calculating parameters and characteristics on a real time scale.

The paper considers the peculiarities of the nonlinear exponential model of the photovoltaic module, taking into account series and parallel parasitic resistances. An explicit dependence of the photovoltaic module current on voltage, illumination and temperature is formulated. Simulation modeling of the photovoltaic module based on the numerical method was performed. The obtained results indicate the high accuracy of the nonlinear exponential model of the photovoltaic module, and show the presence of an error caused by transient processes due to changes in external conditions.