July 11, 2011 | Leave A Comment
In Oregon, in order to receive the rebate from the Energy Trust a system must have a 75% solar resource. This is known as the TSRF or Total Solar Resource Fraction. Solar arrays lose efficiency due to losses from shading, and when tilt and orientation are not ideal. For the Portland metro the ideal tilt and orientation is 190 degrees (slightly west of South) and a 32 degree roof pitch.
Of course, it is extremely rare for a home to have perfect pitch, orientation, and no shade. More often than not, there are shading obstacles like trees, and roofs are facing East to West. Have no fear, solar arrays can still work on East-West facing roofs but if there is some shade as well your roof may not have a 75% TSRF.
One possible solution, although not ideal from an aesthetic perspective, is to pitch the solar modules to the South off of an East or West facing roof. Recently, we had just such a scenario where a SE roof was heavily shaded but the NW roof was far enough away from the trees to receive only minimal shade. Of course we can’t install the solar modules flush to a NW roof but what if we pitch them up off the roof towards the SW?
And furthermore, what is the new roof pitch and orientation? It might seem like a simple question but it is actually quite complex. A new compound angle is being created with a distinct pitch and orientation that depends on how steeply you pitch the modules off the East-West roof. I scratched my head for a long time on this one and attempted to conjure up some clever trigonometry. I googled away and couldn’t find an answer.
Finally, I stumbled on Solmetric’s website where they have created a compound angle tool. Great job Solmetric!
Here is how it worked out. The unshaded roof is facing NW at 315 degrees. The roof is sloped at 13 degrees. If the module is pitched at 25 degrees towards the SW than the compound angle creates a new array that has an azimuth of 251 degrees and a tilt of 28 degrees. This new azimuth and tilt was enough to achieve that 75% TSRF that is required by Energy Trust.

