Self-ballasting solar collector

1. A solar energy concentrator comprising:

a receiver configured to receive energy from a solar energy source;

one or more reflectors comprising an array of mirrors adapted to direct solar energy to the receiver, each mirror of the array of mirrors adapted to rotate about a first center of rotation;

a frame affixed to the receiver and one or more reflectors, the frame comprising a plurality of footings adapted to frictionally affix the frame to a roof surface without penetrating the roof surface, wherein said concentrator is adapted to be detachably secured to the roof while concurrently maintaining the integrity of the roof, wherein the one or more reflectors are interposed between a positioning plate and the receiver; and

a plurality of reflector positioning arms for operably coupling the array of mirrors to the positioning plate, wherein each of the positioning arms is adapted to rotate relative to the positioning plate about a second center of rotation, the positioning plate adapted to simultaneously aim each of the array of mirrors in a direction substantially bisecting an interior angle between the solar energy source and the receiver,

wherein a line segment between the first center of rotation and the second center of rotation for each of the plurality of positioning arms is substantially equal to a base of an isosceles triangle having a first leg aligned with a first ray from the source and the a second leg parallel to a second ray to the receiver, wherein the first leg and second leg are equal length.

2. The concentrator of claim 1 , wherein the receiver is a photovoltaic cell.

3. The concentrator of claim 1 , wherein the positioning plate is a rigid positioning plate.

4. The concentrator of claim 1 , wherein the array further comprises at least one linkage rotatably coupling the positioning plate to the one or more reflectors.

5. The concentrator of claim 4 , wherein the at least one linkage comprises a swing arm rotatably coupling the positioning plate to the one or more reflectors, wherein a length of the swing arm is substantially equal to the magnitude of the second unit vector.

6. The concentrator of claim 1 , wherein the one or more reflectors comprise a plurality of reflectors arrayed in a common plane, and the second center of rotation for the plurality of positioning arms are distributed in accordance with a Conchoid of Nicomedes surface of revolution.

7. The concentrator of claim 1 , wherein one or more of the plurality of footings comprises a hollow container adapted to receive and retain a ballast.

8. The concentrator of claim 7 , wherein the ballast is selected from the group consisting of: water, sand, and gravel.

9. The concentrator of claim 7 , wherein the container comprises one or more surfaces adapted to induce a downward force on the concentrator in the presence of wind.

10. The concentrator of claim 1 , wherein one or more of the plurality of footings comprises a receptacle having a cavity adapted to removably receive and retain a ballast adapted increase static friction between the one or more footings and the roof.

11. The concentrator of claim 10 , wherein the ballast comprises one or more surfaces adapted to induce a downward force on the concentrator in the presence of wind.

12. The concentrator of claim 11 , wherein the one or more of the plurality of footings further comprises a post and bottom plate adapted to retain the ballast.

13. The concentrator of claim 11 , wherein the ballast comprises one or more surfaces adapted to induce a downward force on the concentrator in the presence of wind.

14. The concentrator of claim 11 , wherein the receptacle comprises one or more outer facing surfaces adapted to induce a downward force on the concentrator in the presence of wind.

15. A solar energy concentrator comprising:

a receiver configured to receive energy from a solar energy source;

an array of mirrors arrayed in a common plane and adapted to direct solar energy to the receiver, each mirror of the array of mirrors is adapted to rotate about a first center of rotation;

a frame affixed to the receiver and the array of mirrors, the frame comprising a plurality of footings adapted to frictional affix the frame to a roof surface without penetrating the roof surface, wherein said concentrator is adapted to be detachably secured to the roof while concurrently maintaining the integrity of the roof, wherein the array of mirrors is interposed between a positioning plate and the receiver; and

a plurality of reflector positioning arms for operably coupling the mirrors to the positioning plate, wherein each of the positioning arms is adapted to rotate relative to the positioning plate about a second center of rotation, the positioning plate adapted to simultaneously aim each of the array of mirrors in a direction substantially bisecting an interior angle between the source and the receiver,

wherein a line segment between the first center of rotation and the second center of rotation for each of the plurality of positioning arms is substantially equal to a base of an isosceles triangle having a first leg aligned with a first ray from the source and the a second leg parallel to a second ray to the receiver, wherein the first leg and second leg are equal length.

16. The concentrator of claim 15 , wherein the receiver is a photovoltaic cell.

17. The concentrator of claim 15 , wherein the array further comprises at least one linkage rotatably coupling the positioning plate to the mirrors.

18. The concentrator of claim 17 , wherein the at least one linkage comprises a swing arm rotatably coupling the positioning plate to the array of mirrors, wherein a length of the swing arm is substantially equal to the magnitude of the second unit vector.

19. The concentrator of claim 16 , wherein the second center of rotation for the plurality of positioning arms are distributed in accordance with a Conchoid of Nicomedes surface of revolution.