An analytical flux density distribution model with a closed-form expression for a flat heliostat

Caitou He, Xiaoyue Duan, Yuhong Zhao and Jieqing Feng

Applied Energy, 2019, vol. 251, issue C, -

Abstract: Predicting the flux density distribution on the receiver surface is of significance for designing and deploying a central receiver system. In this paper, an analytical model with a closed-form expression is presented to accurately describe the flux density distribution that a flat heliostat reflects on the receiver plane. The flux spot is modeled as a two dimensional convolution between a uniform light flux density distribution over the heliostat effective reflection surface and a two dimensional quasi-Cauchy kernel. The convolution is solved analytically as a closed-form expression. The proposed model takes into account the sunlight direction, sun shape, heliostat position, size, orientation, slope error, and shadowing and blocking effects, etc. Extensive experiments and comparisons were conducted, and it shows that the proposed model is more accurate than the prevalent elliptical Gaussian model, in terms of total power and flux density distribution. Due to its closed-form expression, the proposed model can also be efficiently evaluated on a contemporary graphics processing unit to predict the flux spot of a heliostat within 2.8 ms. Thus this model has promising potential in the practical optimization applications.

Keywords: Central receiver system; Convolution; Two dimensional quasi-Cauchy kernel; Oblique parallel projection; Monte-Carlo ray tracing; Flat heliostat (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0306261919309729
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:appene:v:251:y:2019:i:c:37

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/bibliographic
http://www.elsevier. ... 405891/bibliographic

DOI: 10.1016/j.apenergy.2019.113310

Access Statistics for this article

Applied Energy is currently edited by J. Yan

More articles in Applied Energy from Elsevier
Bibliographic data for series maintained by Catherine Liu ().