Fractional derivative-based performance analysis of hybrid thermoelectric generator-concentrator photovoltaic system
Por:
De-la-Vega, Eduardo, Torres-Hernandez, Anthony, Rodrigo, Pedro M., Brambila-Paz, Fernando
Publicada:
5 jul 2021
Resumen:
Concentrator photovoltaic systems get the highest conversion
efficiencies among all solar applications. However, they need to
increase their efficiency even more to compete with traditional
photovoltaic systems. The hybridization with thermoelectric generators
allows recovering part of the waste heat and converting it to
electricity, enhancing the global efficiency. The physical model of
hybrid thermoelectric-concentrator photovoltaic module involves five
non-linear equations. In this paper, two adapted Newton-Raphson methods
using fractional derivatives are developed to solve such non-linear
system, one using the conformable derivative operator and the other
using the Riemann-Liouville fractional derivative. Both methods are
mathematically innovative and are applied within the photovoltaic field
for the first time. They can be used in energy prediction or in design
optimisation. As an example of application, one month of real
atmospheric data from Jaen, Southern Spain, were processed with the help
of the developed methods. The performance outputs of the hybrid system
were analysed giving interesting findings on their real behaviour, which
is largely unknown nowadays. Linear functions dependent on direct normal
irradiance can approximate the total generated power with 12.8 W/m(2)
root mean squared error and, the thermoelectric efficiency with 0.08%
error.
Filiaciones:
De-la-Vega, Eduardo:
Univ Panamer, Fac Ingn, Josemaria Escriva de Balaguer 101, Aguascalientes 20290, Aguascalientes, Mexico
Torres-Hernandez, Anthony:
Univ Nacl Autonoma Mexico, Fac Sci, Dept Phys, Mexico City, DF, Mexico
Rodrigo, Pedro M.:
Univ Panamer, Fac Ingn, Josemaria Escriva de Balaguer 101, Aguascalientes 20290, Aguascalientes, Mexico
Univ Jaen UJA, Ctr Adv Studies Earth Sci Energy & Environm CEACT, Adv Photovolta Technol Res Grp AdPVTech, Las Lagunillas Campus, Jaen 23071, Spain
Brambila-Paz, Fernando:
Univ Nacl Autonoma Mexico, Dept Math, Fac Sci, Mexico City, DF, Mexico
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