Abstract

The paper proposes two mathematical models of a photo-voltaic (PV) cell—the complete model and the simplified model—which can be used also for modeling a PV module or a PV string under any environmental condition. Both of them are based on the well-known five-parameters model, while the approach allows to write a new descriptive equation, whose terms are functions of the information always available in the modern datasheet of a PV module’s manufacturer. This implies that no pre-processing of the datasheet parameters is needed to use the proposed model, whichever the solar irradiance and the cell/module temperature are. Moreover, these models are interpreted from a circuital point of view, providing the electrical circuits constituted only by basic electrical components. Particularly, in order to take into account the variability of the environment parameters, several variable resistors and voltage-controlled sources are used. The proposed models are tested with the datasheet parameters of commercial PV modules.

Highlights

  • The energy performance of a photo-voltaic (PV) system depends on many environmental parameters, two of them are mainly responsible: the solar irradiance and the cell temperature

  • PV module in three different environmental conditions (ECs): under standard test conditions (STCs)

  • The electrical circuit has been implemented in Spice environment and simulations have been run (First), at high air temperature and STC solar radiance (Second), at high air temperature and low with a variable resistive load connected to the external pins

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Summary

Introduction

The energy performance of a photo-voltaic (PV) system depends on many environmental parameters, two of them are mainly responsible: the solar irradiance and the cell temperature The former strongly affects the short-circuit current, the latter the open-circuit voltage, and both of them affect the maximum power point (MPP). There exist several equivalent circuits based on a photocurrent source, one or more resistors, and one or more diodes These topologies are characterized by several unknowns to be calculated, the models are classified with respect to the total number of unknowns. The more detailed “double-diode” model is known as a “seven-parameters” model, because just two other parameters have to be calculated in addition to those of the “five-parameters” model Both of the previous models are based on the accuracy through three characteristic points of the current-voltage (I-V)

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