Solar flux density distribution using a separation of variables/superposition technique

M.M. Elsayed and K.A. Fathalah

Renewable Energy, 1994, vol. 4, issue 1, 77-87

Abstract: A separation of variables/superposition technique is used to determine the flux density distribution Γ on the receiver plane of a central receiver system. This distribution is determined in terms of the flux density distribution F on the image plane. The distribution F is found in terms of the algebraic sum of several flux distribution functions. Each of these functions Fi is determined in terms of a basic dimensionless flux density function φ, transferred to have its origin of coordinates at one corner of the principal image of the heliostat. Using a special coordinate system, φ is found to depend only on the angle θ∗ between the sides of the principal image of the heliostat, for a given Sun shape and error function. Calculations of θ∗ and the lengths of the sides of the principal image are performed for a wide range of parameters, which include solar zenith and azimuth angles, radial distance of heliostat and its position azimuth angle, tower height, concentration and dimensions of the heliostat. For a given effective Sun shape, the basic dimensionless flux density distribution φ is calculated for several values of θ∗. This distribution is stored in a computer and used in an illustrative example to determine the flux density distribution on a receiver plane.

Date: 1994
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:renene:v:4:y:1994:i:1:p:77-87

DOI: 10.1016/0960-1481(94)90067-1

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