What is the process in design a Compound Elliptical Concentrator and Compound Parabolic Concentrator if I wanted to achieve 100% optimal concentration ? Let's assume random numbers of: A light source being 14 meters wide, the aperture is 4 meters wide and the distance between them being 12 meters.

I was doing random searches on solar energy and came across solar concentrators which I've never heard of before, but saw you can design them based on knowing information above. I can't find anything easy enough to understand so a newbie like me can follow clearly.

For example, for the CPC. The equation is for the maximum concentration: $$C=\frac{1}{sin^2(\theta)}$$

If I wanted a 100% concenctration would have a 1 (100%) in place of the C then solve for the theta to get the half acceptance angle ? Would I go backwards from this and adjust the base of the concetrator to have an aperture of 4 meters and a base of whatever gives me an angle of theta?

Here is an image of what I meant (found randomly online with no explanation): enter image description here


Per the non-imaging optics wiki, C is the "ratio of input and output aperture areas". It is not efficiency like it is in some other equations.

So putting a 45 degree half angle into the equation gives C = 2. This means that if the input area is 1m^2 then the output will be 0.5m^2. A solar radiation intensity would increase from say 1000w/m^2 to 2000w/m^2.

At a 30 degree half angle the equation gives C = 4. So solar radiaton could be increased to 4000w/m^2. This would be more favorable in a solar heating application but the trade off is the smaller acceptance angle.

At a 90 degree half angle (light from 180 degrees) the equation gives C = 1 meaning no concentration is possible.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.