CATENARY SOLAR REFLECTOR

HOME ADVANTAGE MATHEMATICS  DESIGNS REAL USES GOALS-N-THANGS ABOUT ME

In my mind, there are two main ways of using a catenary reflector. The most obvious is that you can make a symmetrical mirror and then rotate it so that it traces the path of the sun. This is the same implementation as the conventional "parabolic trough' used in power producing plants. Another way is to make use of the inexpensive cost of building a catenary reflector and build a very large, imobile asymmetric one then mount it facing south and accept some degrees of efficiency as the sun moves through the sky.

Catenary Trough Reflector

Because of its shape, the trough (catenary or parabolic) is usually used for heating a pipe along its focal points. Conventional parabolic designs claim a 30x to 60x intensity increase in light intensity along the pipe.

The main disadavantage of a trough compared to a (parabolic) dish is that it focuses the solar energy into a line and not single point, so the the maximum energy focus is less than that of a dish with everything else equal. I think that there are several ways to improve on the efficiency of a trough by making the "target" more concentrated by using a trapezoid instead of a rectangle, or perhaps a series of reflecting secondary mirror.

However, as many commercial systems can attest, the parabolic trough is still quite good at doing its job. Many system employs the "line" target to good advantage, pumping hot oil from a black pipe into a heat exchanger to boil water for driving steam turbines for residential power needs.

Being flexible, the catenary reflector cannot be tilted to just any position. Above about 45 degrees, you run the risk of errant wind blowing the reflector to the wrong side. The designer should try to accomodate for this until the wind slows down. This can be done by restricting the movement of the sheet with ropes, or by using a heavy weight sheeting and backing materials.

The basic design for a catenary trough would be a rectangular frame, built sufficiently oversized so that stray solar rays won't accidentally burn it. It should be tilted so that it faces the sun. It can be rotate to track the sun through the day.

As mentioned, the hot zone target for this design would generally be a pipe. Of course, it can be made out of a metal plate or elongated box also. Using dark metal will make it more efficient in converting sunlight into heat. For high efficiency, many designers use an internal black pipe, surrounded by a transparent glass tube. I won't go too much into how the target should be made, because it is really no different than the designs used by conventional parabolic solar trough. We can just imagine the normal uses for such a design: heating oil for a heat exchanger to drive turbines, heating water flowing through a pipe for purification, etc.

For household use in developing regions, a long black oven can be placed in the focal region for baking bread, cooking meat and poultry, etc.

Asymmetrical Stationary Reflector


1:2 ratio (equivalent to 1:4 symmetric design) catenary, simulated with 45, 35, 25, and 15 degrees sun angle (from the horizon)

Despite its lower efficiency in focusing the incident light, I feel that the asymmetrical design holds more promise for large scale use of the catenary refletor.
This is because it is not only self-forming, but it is also self-tracking.  By placing a large reflector facing directly south, it can capture and focus sunlight late into the day.  The fact that is is less focused than other concentrator makes it more suitable for photovotaic application, where a highly concentrated beam can degrade the efficiency or destroy the photovoltaic cell.

I have made some preliminary experiment to investigate the asymmetric catenary reflector (ACRe) and showed that the the self forming and self tracking characteristics  can reduce the cost of photovoltaic power generation by a factor of 2 or 4 (50 to 75 % cost reduction per watt of electricity generated).