Most roofs are not perfectly tilted and aimed due south, and this calculator estimates the energy cost of that compromise. It compares your array’s tilt and azimuth against the latitude-tilt, south-facing optimum using a simplified geometric transposition model.
How it works
Two penalties combine. The tilt penalty falls off as your tilt departs from the latitude-equal optimum, and the azimuth penalty follows a cosine-shaped curve as you turn away from due south:
tiltFactor = cos(tilt − latitude) clamped to a diffuse floor
azimuthFactor = 1 − k × (1 − cos(azimuth))
yield % = tiltFactor × azimuthFactor × 100 (relative to optimum)
The diffuse floor keeps even a poorly tilted array from dropping to zero, since panels always collect scattered sky light.
Notes
This is a screening estimate to compare orientations quickly. For a final design use an hourly tool such as PVWatts or PVsyst with local weather data.
Tips
- Tilt near your latitude maximises annual energy on a fixed mount.
- Azimuth within 30 degrees of south costs only a few percent.
- East or west orientations can still be worthwhile where roof space is free.