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Equations for solar tracking

By Alexis Merlaud, Martine De Mazière, Christian Hermans and Alain Cornet

Abstract

Direct Sun light absorption by trace gases can be used to quantify them and investigate atmospheric chemistry. In such experiments, the main optical apparatus is often a grating or a Fourier transform spectrometer. A solar tracker based on motorized rotating mirrors is also needed to direct the light along the spectrometer axis, correcting for the apparent rotation of the Sun. Calculating the Sun azimuth and altitude for a given time and location can be achieved with high accuracy but different sources of angular offsets appear in practice when positioning the mirrors. A feedback on the motors, using a light position sensor closed to the spectrometer is almost always needed. This paper aims to gather the main geometrical formulas necessary for the use of a widely used kind of solar tracker, based on two 45{\deg} mirrors in altazimuthal set-up with a light sensor on the spectrometer, and to illustrate them with a tracker developed for atmospheric research by our group.Comment: 14 pages, 7 figures. Second version of the paper as published in Sensors. Main correction: a rotation matrix converted to a reflection matrix. Main addition: a discussion on how the control theory applies to this kind of tracking syte

Topics: Physics - Optics, Astrophysics - Instrumentation and Methods for Astrophysics, Physics - Atmospheric and Oceanic Physics, Physics - Instrumentation and Detectors
Year: 2013
DOI identifier: 10.3390/s120404074
OAI identifier: oai:arXiv.org:1102.3825
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