Six-gaussian representation of the angular-brightness distribution for solar radiation

Vittitoe, C.N.; Biggs, F.

doi:10.1016/0038-092x(81)90043-8

Cited by 11 publications

(7 citation statements)

References 2 publications

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“…The Gaussian distribution of the solar source was defined by Zemax through the G x and G y parameters, i.e., the Gaussian distribution parameters in X and Y axes, respectively. These parameters are based on the solar irradiance measured by Vittitoe and Biggs [35].…”

Section: Solar Source Modelingmentioning

confidence: 99%

“…The ESFL is designed in AutoCAD, and then imported into Zemax nonsequential ray-tracing software for numerical evaluation of the ESFL output performance. In this evaluation, a Gaussian distribution based on measured data from the literature [35] is considered to define the solar source, instead of the classical edge-ray principle method with a solar acceptance half-angle of 0.27 • . To validate the analytical model, this was applied in the performance evaluation of a flat Fresnel lens with published experimental data [36], whose results were in accordance with those obtained through the proposed model.…”

Section: Introductionmentioning

confidence: 99%

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Elliptical-Shaped Fresnel Lens Design through Gaussian Source Distribution

et al. 2022

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A novel three-dimensional elliptical-shaped Fresnel lens (ESFL) analytical model is presented to evaluate and maximize the solar energy concentration of Fresnel-lens-based solar concentrators. AutoCAD, Zemax and Ansys software were used for the ESFL design, performance evaluation and temperature calculation, respectively. Contrary to the previous modeling processes, based on the edge-ray principle with an acceptance half-angle of ±0.27° as the key defining parameter, the present model uses, instead, a Gaussian distribution to define the solar source in Zemax. The results were validated through the numerical analysis of published experimental data from a flat Fresnel lens. An in-depth study of the influence of several ESFL factors, such as focal length, arch height and aspect ratio, on its output performance is carried out. Moreover, the evaluation of the ESFL output performance as a function of the number/size of the grooves is also analyzed. Compared to the typical 1–16 grooves per millimeter reported in the previous literature, this mathematical parametric modeling allowed a substantial reduction in grooves/mm to 0.3–0.4, which may enable an easy mass production of ESFL. The concentrated solar distribution of the optimal ESFL configuration was then compared to that of the best flat Fresnel lens configuration, under the same focusing conditions. Due to the elliptical shape of the lens, the chromatic aberration effect was largely reduced, resulting in higher concentrated solar flux and temperature. Over 2360 K and 1360 K maximum temperatures were found for ESFL and flat Fresnel lenses, respectively, demonstrating the great potential of the three-dimensional curved-shaped Fresnel lens on renewable solar energy applications that require high concentrations of solar fluxes and temperatures.

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Section: Solar Source Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elliptical-Shaped Fresnel Lens Design through Gaussian Source Distribution

et al. 2022

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“…The limb -darkening effect described in Section 19.2.2 , augmented by various optical aberrations caused by refl ecting surfaces, creates an image of the sun disk with a radial Gaussian distribution of its energy fl ux [51] . For all CPV systems (imaging or nonimaging), a related issue is the characterization of the large diffuse radiance in the sun ' s aureole, referred to as circumsolar radiation.…”

Section: Angular Characteristics and Circumsolar Effectmentioning

confidence: 99%

“…The variation of radiance from the sun center to the edge of the circumsolar region intercepted by a concentrating collector is often referred to as " sunshape. " Earlier studies of the sunshape [51] have been based on experimental measurements of the radiance that were carried out at 11 U. S.…”

Section: Angular Characteristics and Circumsolar Effectmentioning

confidence: 99%

Solar Resource for Space and Terrestrial Applications

Gueymard¹,

Myers²

2010

Solar Cells and Their Applications

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“…The modification can be described with polar coordinates with the azimuthal angle assumed to be uniformly distributed between 0 and 2p, while for the polar angle either a Gaussian probability density function or a Rayleigh probability density function is used (Bader et al, 2014a;Krueger, 2012;Johnston, 1995). The incidence direction of direct solar radiation is modeled as either a uniformly emitting disk subtending a cone-half angle of 4.65 mrad, a disk with a Gaussian distributed radial brightness profile, or by using a sunshape model developed using experimental data of the brightness distribution of the sun as observed on earth (Li et al, 2016;Vittitoe and Biggs, 1981;Rabl and Bendt, 1982;Buie and Monger, 2004). Using the most detailed models available can result in the accurate prediction of measured radiative flux data with Monte Carlo ray tracing models.…”

Section: Modeling Of Solar Concentratorsmentioning

confidence: 99%

High-flux optical systems for solar thermochemistry

et al. 2017

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a b s t r a c tHigh-flux optical systems (HFOSs) are optical concentrators used to increase the radiative flux of the natural terrestrial solar irradiation. High radiative flux concentration leads to high energy density in solar receivers which allows to obtain high temperatures. In solar thermochemical applications, the hightemperature heat drives endothermic thermochemical reactions. HFOSs have been deployed for research and development of solar thermochemical devices and systems, from solar reacting media to solar reactors. Here, we review the designs and characteristics of HFOSs as well as challenges and opportunities in the area of high-flux optical systems for solar thermochemical applications.

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Six-gaussian representation of the angular-brightness distribution for solar radiation

Cited by 11 publications

References 2 publications

Elliptical-Shaped Fresnel Lens Design through Gaussian Source Distribution

Elliptical-Shaped Fresnel Lens Design through Gaussian Source Distribution

Solar Resource for Space and Terrestrial Applications

High-flux optical systems for solar thermochemistry

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