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RESEARCH PAPERS

General Sun Tracking Formula for Heliostats With Arbitrarily Oriented Axes

[+] Author and Article Information
Y. T. Chen

Department of Astronomy and Applied Physics, University of Science and Technology of China, No. 96, JinZhai Road, 230026 Hefei, P. R. C.ytichen@ustc.edu.cn

B. H. Lim, C. S. Lim

Department of Astronomy and Applied Physics, University of Science and Technology of China, No. 96, JinZhai Road, 230026 Hefei, P. R. C.

J. Sol. Energy Eng 128(2), 245-250 (Jun 25, 2005) (6 pages) doi:10.1115/1.2189868 History: Received March 29, 2005; Revised June 25, 2005

The most general form of solar tracking formulae of an arbitrarily oriented heliostat toward an arbitrarily located target on the Earth is presented. With this complete solution, the used azimuth-elevation, spinning-elevation tracking formula, etc., are the special cases of it. Therefore, more application may be sought out for many individual cases in solar engineering. The new form of tracking solution could bring changes in the geometry and structure of the design of heliostat to meet various requirements.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Orientation OH of an arbitrarily located heliostat described in Earth-surface frame. OR, OU, and OH are the three orthogonal coordinate axes of heliostat frame.

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Figure 2

(a) Orientation TH of an arbitrarily fixed target described in the heliostat frame and (b) orientation TE of an arbitrarily fixed target described in the Earth-surface frame

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Figure 3

(a) The original position of heliostat where KK′ is coaxial with OU axis, and the heliostat surface normal NH is parallel with OH, thus ρH0=0, θH0=0. (b) The heliostat reflector is oriented to the tracking position after a rotation of ρH along OH and a rotation of θH along KK′.

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Figure 4

The unit position vector of sun referenced to the Earth-center coordinate system

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Figure 5

Incidence angle versus solar time for a latitude-oriented heliostat at a few typical days of a year

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