Mathematical study of the movement of solar tracking systems based on rational models

Fernández-Ahumada, Luis Manuel; Casares, F.J.; Ramírez-Faz, J.; Luque, Rafael

doi:10.1016/j.solener.2017.04.006

Cited by 33 publications

(18 citation statements)

References 49 publications

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“…where δ represents the solar declination, ϕ the latitude and Ωt the hour angle. This angle was calculated as the Earth's rotation speed, 2π/24 rad/h, for the hours since solar noon [30].…”

Section: Astronomical Bases and Irradiance Modelmentioning

confidence: 99%

Analysis of the Influence of Terrain Orientation on the Design of PV Facilities with Single-Axis Trackers

et al. 2020

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This paper investigates how to optimally orient the photovoltaic solar trackers of an axis parallel to the terrain, applying the sky model of Hay–Davies. This problem has been widely studied. However, the number of studies that consider the orientation (inclination and azimuth of the terrain) is very limited. This paper provides an examination of incident solar irradiance that can be extended to terrain with variable orientation and in consideration of different azimuths of the axis of rotation. Furthermore, a case study of the south of Spain is provided, considering different inclination and orientation terrain values. The results obtained in this study indicate, as a novelty, that for lands that are not south facing, the rotation axis azimuth of solar trackers should be different from zero and adjusted to the same direction as the land azimuth in order to maximize energy production. Annual energy production is sensitive to changes in the rotation axis azimuths of solar trackers (an influence of around 3% of annual energy production).

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Section: Astronomical Bases and Irradiance Modelmentioning

confidence: 99%

Analysis of the Influence of Terrain Orientation on the Design of PV Facilities with Single-Axis Trackers

et al. 2020

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“…Accordingly, SVF will determine whether the most important component of the global solar irradiance reaching a specific point of a façade will be the diffuse or reflected irradiance (Equation (4)) [44].…”

Section: Solar Radiation Modelmentioning

confidence: 99%

A Methodology for Buildings Access to Solar Radiation in Sustainable Cities

et al. 2019

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The growing need to improve the environmental and energy sustainability of buildings involves the use of solar radiation incident on their surfaces. However, in cities, this task is complicated due to the constructive geometry that leads to shading between buildings. In this context, this work presents a study of solar access to the façades of buildings in cities. The methodology is based on the determination of the incident annual solar radiation in 121 significant points of each façade considering the twelve representative days of the year. To characterize the influence of the different city typologies on solar access, the urban solar coefficient is proposed. A study of two neighborhoods in Cordoba (Spain) with different urban settings have been analyzed. Specifically, two typologies of neighborhoods have been compared: one with “L-shaped” and “U-shaped blocks” and another with “Grouped blocks”. For both of them, the Urban Solar Coefficient has been calculated, obtaining a higher mean value for the neighborhood with “L-shaped” and “U-shaped blocks” (0.317) than for the one with “Grouped blocks” (0.260). Accordingly, the results show that urban morphology can influence the Urban Solar Coefficient and solar access. Finally, a regression model for each neighborhood has been obtained in order to determine the dependence of the Urban Solar Coefficient on neighborhood geometry factors.

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“…Sunlight is, at first look, the simplest radiation to model at any given point in time: all rays follow the same direction (parallel emission). Establishing the exact direction and its time-dependent change can be determined by solar-tracking 19,20 models. Emission from artificial light sources is often separated in two different scenarios: arc lamps, for instance, have a volumetric emission, i.e.…”

Section: Photon Initialisationmentioning

confidence: 99%

Simulation of Light Propagation in Photochemical Fixed-Bed Reactors Using a BRDF-Based Model

Ramos

Grisafi²,

Brucato³

et al. 2019

Preprint

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<div> <p>Modelling light transport in fixed-bed photochemical reactors can be challenging if the geometry of the packing is the object of investigation. In this manuscript, we present a physically-based model of light transport for the simulation of fixed-bed photochemical reactors to be coupled with explicit consideration of reactor geometry: spatial properties of the fixed bed, such as size, shape, distribution and quality of the surface of packing particles are used as input variables. The existence of a catalytic coating on the packing surface, and its major properties such as spectral coefficient of absorption and surface rugosity can also be easily coupled with the light propagation algorithm. The model was built upon the framework of the bidirectional reflectance distribution function (BRDF), using the microfacets theory (MFT) to evaluate an approximate solution. As an example of application, easily measurable experimental data, such as UV absorption/extinction spectra and surface roughness, and readily available literature data on spectral refractive indices are used as inputs to calculate (i) the fate of the irradiated energy (percentage absorbed, transmitted and scattered-out) and (ii) the spatial distribution of the scattered rays. Taken together, these output data should offer the engineer guidelines for the design of fixed-bed photochemical reactors with optimised light collection and distribution.</p> </div> <br>

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Mathematical study of the movement of solar tracking systems based on rational models

Cited by 33 publications

References 49 publications

Analysis of the Influence of Terrain Orientation on the Design of PV Facilities with Single-Axis Trackers

Analysis of the Influence of Terrain Orientation on the Design of PV Facilities with Single-Axis Trackers

A Methodology for Buildings Access to Solar Radiation in Sustainable Cities

Simulation of Light Propagation in Photochemical Fixed-Bed Reactors Using a BRDF-Based Model

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