METHOD OF CALCULATING THE ORIENTATION OF A HELIOSTATIC MIRROR BASED ON VECTOR REPRESENTATIONS

Author(s): Kubova R.M., Kubov V.I.

Rubric: Methodological research

DOI: 10.21777/2500-2112-2024-3-103-109

Release: 2024-3 (48)

Pages: 103-109

Keywords: heliostat, sun position, mirror orientation, solar radiation, direction vectors, operations with vectors in 3D space

Annotation: A technique for representing and calculating the orientation of the heliostatic mirror based on vector representations of the directions to the sun and the mirror related to a fixed observation point is presented. Vector representation of directions to the sun and the heliostatic mirror allows us to obtain a description of the mirror orientation that is quite clear and simple in algorithmic implementation of calculations. Operations with vectors are significantly simplified when using a projection in Cartesian coordinates. In addition to expressions for vector transformations of directions, a summary of formulae is given for calculating the position of the sun in a local coordinate system depending on geographic coordinates, date and time. The obtained relationships can be implemented in an algo- rithm for controlling the heliostatic mirror mechanism according to a given time schedule using two independent drives: azimuth and elevation. The developed method for calculating the orientation of the heliostatic mirror based on vector representations can be used in practical problems of monitoring the characteristics of solar radiation.

Bibliography: Kubova R.M., Kubov V.I. METHOD OF CALCULATING THE ORIENTATION OF A HELIOSTATIC MIRROR BASED ON VECTOR REPRESENTATIONS // Education Resources and Technologies. – 2024. – № 3 (48). – С. 103-109. doi: 10.21777/2500-2112-2024-3-103-109