A Fractional Derivative Modeling of Heating and Cooling of LED Luminaires
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A Fractional Derivative Modeling of Heating and Cooling of LED LuminairesAutor(es)
Fecha
2020-03Resumen
[Abstract] In the context of energy efficient lighting, we present a mathematical study of the
heating and cooling processes of a common type of luminaires, consisting of a single light-emitting diode source in thermal contact with an aluminum passive heat sink. First, we study stationary temperature distributions by addressing the appropriate system of partial differential equations with a commercial finite element solver. Then, we study the temporal evolution of the temperature of the chip and find that it is well approximated with a fractional derivative generalization of Newton’s cooling law. The mathematical results are compared and shown to largely agree with our laboratory measurements.
Palabras clave
Heat equation
Mathematical modeling
Cooling law
Fractional derivatives
Mathematical modeling
Cooling law
Fractional derivatives
Versión del editor
Derechos
Atribución 4.0 España
ISSN
2227-7390