Solar Panel Orientation Calculator
Find your roof's annual production loss versus true south with our free solar panel orientation calculator using your latitude, azimuth and tilt angle.
Solar Panel Orientation Calculator
Formula used
Production factor = cos(Δβ) × (1 − 0.3 × (1 − cos(Δγ)))
Δβ = panel tilt − optimal tilt (latitude × 0.76)
Δγ = panel azimuth − equator-facing azimuth (180° in N. Hemisphere, 0° in S.)
Calibrated against NREL PVWatts v6 sample runs. Within ±5% for tilts ≤ 45° and azimuth deviations ≤ 135°. For panels facing within 30° of the pole (e.g. due-north in N. Hemisphere) the model under-predicts diffuse-light gains; expect 5–10 percentage points more than shown.
How to use this calculator
Enter three numbers:
- Your latitude — look it up on Google Maps by right-clicking your location.
- Panel azimuth — the compass direction your roof face points, measured in degrees clockwise from true north (0° = north, 90° = east, 180° = south, 270° = west). Use the compass quick-pick buttons if you don’t have a precise reading.
- Panel tilt — the angle of your roof from horizontal. A flat roof is 0°, a typical American pitched roof is 18–35° (4/12 to 8/12 pitch).
The calculator returns your production factor — the percentage of optimal production you’ll actually capture — plus the optimal orientation for your latitude and a verdict on whether the array is worth installing as-is.
How orientation affects solar output
Solar panels generate the most power when sunlight hits them perpendicular to their surface. Two angles control how often that happens:
- Azimuth (the compass direction the panel faces) determines whether the sun is in front of, beside, or behind the panel during the day. Equator-facing arrays (south in the N. Hemisphere, north in the S. Hemisphere) capture the sun’s path symmetrically.
- Tilt (the angle from horizontal) determines whether the sun hits the panel from above or at a glancing angle. The right tilt depends on your latitude — see the solar panel tilt calculator for the optimal value.
Get both right and you produce 100% of the array’s nameplate capacity (adjusted for weather and system losses). Get one wrong and you lose 5–20%. Get both wrong and you can lose 30–50%.
How much each orientation produces
The table below shows the approximate annual production factor (relative to optimal, latitude-tilted, equator-facing) for common roof orientations at typical US latitudes (30–45°N). Values are derived from NREL PVWatts v6 reference runs and rounded to the nearest 5%.
| Roof faces | Tilt 0° (flat) | Tilt 15° | Tilt 30° | Tilt 45° |
|---|---|---|---|---|
| South (180°) | 88% | 96% | 100% | 97% |
| South-east (135°) | 88% | 93% | 95% | 92% |
| South-west (225°) | 88% | 93% | 95% | 92% |
| East (90°) | 88% | 84% | 81% | 76% |
| West (270°) | 88% | 84% | 81% | 76% |
| North-east (45°) | 88% | 75% | 67% | 60% |
| North-west (315°) | 88% | 75% | 67% | 60% |
| North (0°) | 88% | 70% | 60% | 50% |
Three things to notice:
- Flat panels lose the same amount regardless of compass direction (they all sit at 88% of an optimally-tilted south array — a fact often missed in ballpark sizing).
- East and west are nearly identical. Pick the one that matches your time-of-use rate plan if you have one — west catches the afternoon peak, east catches the morning shoulder.
- North-facing roofs in the N. Hemisphere are workable but expensive. A 30°-tilted north-facing array produces only 60% of an equivalent south-facing one, meaning you need 67% more panels to hit the same kWh.
The formula behind this calculator
The production factor uses a first-order approximation of the projected solar irradiance integrated over a typical year:
factor = cos(Δβ) × (1 − 0.3 × (1 − cos(Δγ)))
Where:
- Δβ = (panel tilt) − (optimal tilt). The optimal tilt is approximated as latitude × 0.76, which weights summer’s longer days slightly more than winter’s lower sun angle. This is the same rule used in the solar panel tilt calculator.
- Δγ = the angular distance between panel azimuth and equator-facing azimuth (180° in the Northern Hemisphere, 0° in the Southern). Wrapped so values stay in 0–180°.
- The 0.3 coefficient in the azimuth term comes from fitting the simple cosine model against PVWatts output. Pure
cos(Δγ)over-penalises east/west orientations because it ignores diffuse-light gain.
Limits of the model. It’s a back-of-envelope estimator, not a hour-by-hour simulator. It assumes:
- Clear-sky climate with typical diffuse fraction (15–25%)
- Standard fixed-rack mounting (not single- or dual-axis tracking)
- Tilts ≤ 45° and azimuth deviations ≤ 135°
For pole-facing or steep-tilt arrays, run a free hour-by-hour simulation in PVWatts or SAM rather than relying on this calculator.
When to install at sub-optimal orientation anyway
Solar production is one factor in the decision. The other is cost. A south-facing ground mount might be optimal but cost $4,000 more than tying into your existing east-facing roof. Three rules of thumb:
- >90% of optimal: install as-is. The 5–10% loss is dwarfed by the cost premium of re-orienting.
- 75–90% of optimal: install if your roof is the only sensible option, but oversize the array by 10–20%. Verify the production estimate against PVWatts before signing the contract.
- <75% of optimal: seriously consider an alternative — ground mount, carport, garage roof, or moving to a different house face. The array will work but the payback period stretches significantly.
For the full system economics, use the solar payback calculator once it’s published, or for a sanity check on system size run the solar panel ROI calculator.
Common orientation mistakes
- Reading roof azimuth from a magnetic compass. Magnetic declination is up to 20° east in parts of the western US and up to 20° west in the northeast. Always use a true-bearing source (NOAA’s declination tool or Google Maps measurements).
- Confusing roof pitch with tilt. A 6/12 roof pitch is 26.6° tilt, not 6° or 50°. Pitch is rise/run; tilt is the angle from horizontal.
- Ignoring shading. A perfectly oriented array under a tree will under-perform a poorly oriented array in full sun. Check shading separately with a Solar Pathfinder or any free phone app like Sun Surveyor.
- Mixing orientations on one inverter. If your only option is mixing east-facing and west-facing panels on the same string, use micro-inverters or DC optimisers. String inverters lose more than the calculator predicts when panels in a string face different directions.
Sources
- NREL PVWatts v6 documentation — system performance reference
- NREL Solar Resource Maps — irradiance baselines
- SEIA: Solar Industry Research Data 2026 — installation orientation statistics
Frequently asked questions
What is the best orientation for solar panels?
How much production do I lose if my roof faces east or west?
Is south-east or south-west better?
Can north-facing panels work in the Northern Hemisphere?
Does panel azimuth matter more than tilt?
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