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I am working on a model and must calculate the total solar radiation in W/m² on an inclined plane.

I need a function to calculate this value given longitude, latitude, date, time, tilt angle, and azimuth. The funtion can assume a clear sky.

  1. Can someone direct me to an example where the above is calculated? All the resources I found so far do not provide an example of a complete calculation from start to finish.

  2. Would it be simpler to calculate from first principles or would interpolating from an existing database be the way to go?

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  • $\begingroup$ I don't quite understand what you require. Do you need the derivation of the function to calculate irradiance for any point on earth, or just the data for it? $\endgroup$
    – noah
    Commented Apr 24, 2022 at 11:09
  • $\begingroup$ @noah I was looking for the derivation, but in some cases with a complex function like this it might be easier to interpolate from existing data. So if the latter option is easier, I'd like to be pointed to some resources I can use. But the actual derivation is what I am originally after. $\endgroup$ Commented Apr 25, 2022 at 12:25
  • $\begingroup$ The irradiance at the surface is a very complex function if you want to have accurate data, so if what you need is to have a good approximation of the real irradiance, you'll have to use measurement data as your base anyway. If this is just an exercise to calculate it in a simplified way, then measurement data is not really the way to go, and you could start from first principles (which might be way off in some places). I assume you need the former, ist that right? $\endgroup$
    – noah
    Commented Apr 25, 2022 at 12:30
  • $\begingroup$ @noah I have some texbooks showing how to calculate the AST and sunset/sunrise times but there is a gap between those calculations and how to determine the total (direct and diffuse) radiation on an inclined plane. If you could direct me to a resource it would be much aopreciated. $\endgroup$ Commented Apr 26, 2022 at 9:23

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