Mathematical modeling and numerical simulation of heat dissipation in led bulbs

Alarcón, Diego; Balvís, Eduardo; Bendaña, Ricardo; Conejero, J. Alberto; Córdoba, Pedro Fernández de; Calvet, José Luis Higón; Isidro, J. M.; Michinel, Humberto

doi:10.2298/tsci190521076a

Cited by 2 publications

(3 citation statements)

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“…In street lighting, the maximum consumption occurs when all the electrical and electronic elements (sensors, processors, and actuators) are working. Different changes can reduce the maximum consumption: using lower consumption LED lights [19] or decreasing the number of street lights.…”

Section: B Power Saving Vs User Comfortmentioning

confidence: 99%

Use of Receiver Operating Characteristic Curve to Evaluate a Street Lighting Control System

et al. 2021

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Intelligent control of public lighting is nowadays one of the most challenging issues in smart city deployment. Lighting optimization entails a compromise between comfort, safety, and power consumption, affecting both vehicles and pedestrians. Smart solutions must estimate their characteristics to trade-off users' needs and energy requirements. This paper proposes an intelligent street lighting control system and the Receiver Operating Characteristic (ROC) curve method to evaluate the best number of street lamps to achieve a balance between public road user comfort and system power consumption. The control system is based on the detection of users, mainly pedestrians, using presence sensors. From the detection of a pedestrian by two or more consecutive street lamps it is possible to determine their speed. Knowing the pedestrian speed, allows the system to anticipate and adjust the light intensity of the remaining street lamps, and provide a comfortable view of the street. Using the ROC curve, we evaluate the control algorithm in terms of the number of previous street lamps used. We have tested the system and the method in a model of pedestrians walking down a street. The obtained results show that ROC analysis used to control street lighting allows measuring the whole control system's efficiency by providing a concrete number of previous street lamps.

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Section: B Power Saving Vs User Comfortmentioning

confidence: 99%

Use of Receiver Operating Characteristic Curve to Evaluate a Street Lighting Control System

et al. 2021

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“…Unsurprisingly, Figures 1 and 2 show that the maximum of the steady-state temperature distribution coincides with the position of the LED chip. The temperature decreases with the distance to the chip in an almost radially symmetric fashion [14], with a typical benchmark value of between a 1 and 2 • C drop per centimeter. In general, there is an excellent agreement between the experimental measurements performed with a thermal camera and the results of the numerical model.…”

Section: Stationary Spatial Temperature Profile Of the Luminairementioning

confidence: 99%

“…Moreover, [10] described a simplified mathematical model and [11] emphasized the role of orientation. In [12][13][14], a low-cost solution consisting of a sink that can be directly attached to the bulb without changing the luminaire itself was put forward. In general, it is clear that, because of the enormous economic impact of public illumination, it is of great importance to have adequate mathematical tools to accurately describe the heating and cooling processes in this type of systems.…”

Section: Introductionmentioning

confidence: 99%

A Fractional Derivative Modeling of Heating and Cooling of LED Luminaires

Balvís¹,

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et al. 2020

Mathematics

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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.

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Mathematical modeling and numerical simulation of heat dissipation in led bulbs

Cited by 2 publications

References 15 publications

Use of Receiver Operating Characteristic Curve to Evaluate a Street Lighting Control System

Use of Receiver Operating Characteristic Curve to Evaluate a Street Lighting Control System

A Fractional Derivative Modeling of Heating and Cooling of LED Luminaires

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