Single axis solar tracker tilt angle calculation

I'm working on single axis solar tracker project. Solar panels will towards the sun with maximum angle from sunrise to sunset. the panel direction is east-west or near east-west. I need to make angle formula that can give optimum angle in a day between sun and panel. I'm using NREL solar position algorithm document to calculate angles. I don't understand how to formulate tilt angle. İf i choose direction east-west, can I use directly hour angle for tilt angle? Is it enough to calculate tilt angle using zenith and azimuth angle?

• I'm not sure that I understand this. Is the single axis of rotation horizontal, vertical or slanted? Sep 1, 2022 at 7:37
• @JamesK ill make horizontal single axis tracker
– ybi
Sep 1, 2022 at 12:09
• Using the Hour Angle directly might give OK results, but not optimal. It would only be optimal if the Sun were always directly over the equator. You really need to compute the Alt/Az of the Sun and iteratively find the angle for the panels that produces the result closes to 90deg. It won't be a linear solution. Sep 1, 2022 at 17:47
• @GregMiller I thought that using zenith and azimuth angles projection to panel direction east-west or near east-west gives 2 dimentional vector then i can calculate tilt angle. Will it be a linear solution?
– ybi
Sep 2, 2022 at 7:59
• @JamesK i can't change the type of tracker. i want to projection of the sun then i can calculate easily tilt angle. Can you give any advice for this?
– ybi
Sep 2, 2022 at 8:02

The solar azimuth angle is the "bearing" of the sun, it will change from East to West each day.

The solar zenith angle is the angle between the vertical direction and the sun. It will change from 90 degrees at sunrise, to a minimum at midday, and then increase again to 90 at sunset.

Your system can only tilt to correct for the change in solar zenith angle. So you tilt the panel so its angle with the ground is the zenith angle.

sun            panel
\        /
\ 90⁰/
\/
/
/ angle with ground = zenith angle of sun
------------------------


Now, when the sun isn't due south, it's not possible to get 90 degrees. But tilting the panel to that angle is close to the best that you can do, except when the sun is very low in the sky. But you optimise for when the sun is high, since this is when you get the most intense light.

Better results can be had by swivelling East and West, since at the critical times around midday, most of the sun's motion is East-to-West. According to the source by swivelling East-West in a one-axis motion, you can get 20% more power from the panel, compared to a fixed panel. Tilting up-down will get less (my source didn't mention a number)