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COBEM 2021

26th International Congress of Mechanical Engineering

Parametric Differencial Sensitivity Analysis of a One-Dimensional Thermal-Electrical Model of a Photovoltaic Solar Panel

Submission Author: Lucas Haas , PB , Brazil
Co-Authors: Lucas Haas, Fabiano Cordeiro Cavalcanti, Cristiane Kelly Ferreira da Silva
Presenter: Lucas Haas

doi://10.26678/ABCM.COBEM2021.COB2021-0575

 

Abstract

The power and electrical efficiency of a photovoltaic panel decrease with the increase in the temperature of the photovoltaic cell, which makes the determination of this temperature one of the determining factors in the modeling of a photovoltaic panel. In order to precisely determine the temperature of the photovoltaic cell, it is necessary to study the electrical as well as the thermal parameters of the photovoltaic panel, since the temperature of the photovoltaic cell increases with the decrease of the electrical efficiency. The objective of this work is to make a detailed study about the input parameters of a developed thermal-electrical model of a photovoltaic panel, based on a sensitivity analysis. The thermal part of the model is stationary and one-dimensional, where the temperature varies along the five layers of the photovoltaic panel. The electrical part of the model is based on the single diode five parameters model, which uses information from the datasheet of the photovoltaic panel. The coupling of the thermal model with the electrical model was performed through an interactive computational procedure. The input parameters of the thermal-electrical model consist of thermal, electrical, geometric and climatological variables. The parametric study made was based on the differential sensitivity analysis of the temperature of the photovoltaic cell in relation to the input parameters. Thus, it was possible to determine which of these parameters are more and which are less important to the estimative of this temperature. The derivatives of the dimensionless sensitivity coefficients were calculated using the central finite difference method. The variations of the sensitivity coefficients throughout a simulated day were presented in graphs. A discussion about each input parameter and its influence on the output was made. The input parameters that presented the highest absolute values of the averages of the sensitivity coefficients throughout the day, as an example the transmittance-absorptance product and the open circuit voltage, are the most important parameters to the estimative of the cell temperature. Therefore, these parameters were researched and determined with greater precision, in order to make the model more reliable. The parameters that presented the lowest absolute values of the averages of the sensitivity coefficients, as an example the albedo and the parallel resistance, were considered less important, and could be simplified, in order to make the computational processing of the model faster.

Keywords

thermal model, electrical model, Sensitivity analysis, photovoltaic cell temperature, photovoltaic panel

 

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