The gain of single-axis tracked panel according to extraterrestrial radiation

In the present study, the gain in extraterrestrial radiation received by a single-axis tracked panel relative to a fixed panel was systematically analyzed over a specific period of time. The dynamic angle that the tracked panel should rotate by in order to follow the sun was derived through a series of spherical trigonometric procedures. The instantaneous incident angle of sunlight upon the panel was then calculated, assuming that the panel would simultaneously follow the sun’s position. Thus, instantaneous increments of solar energy received by the tracked panel relative to the fixed panel are originally presented. The results show that the angle the tracked panel has to rotate by is 0° at solar noon, and increases towards dawn or dusk. The incident angle of sunlight upon the tracked panel is always smaller than that upon the fixed panel, except at solar noon. As for panels installed with a yearly optimal tilt angle in Taipei, the gains are between 36.3% and 62.1% for four particular days of year, between 37.8% and 60.8% for the four seasons and 49.3% over the entire year. The amount of radiation collected by the tracked panel is enhanced as the maximum rotation angle is increased. The irradiation ratio of the tracked panel to the fixed panel is close to 1.5 for latitudes below 65° and gradually increases for latitudes above this. The yearly optimal tilt angle of a south-facing fixed panel is approximately equal to 0.9 multiplied by the latitude (i.e. 0.9 × φ) for latitudes below 65° and is about 56 + 0.4 × (φ − 65) otherwise.