Environmental · energy

Solar PV Estimator

Roughly how much energy will a solar array make over a year, where you are?
E = A · η · H · PR
London

System

size it up
4.0 kWp
20%
35°
0.80
$0.28/kWh
$8,000

Monthly generation

drag a bar to read its month · —
monthly output (kWh) summer peak climate-average estimate
Results
System detail
Economics

Does it pay for itself?

rough estimate — assumes you use or bank every kWh at the price above
Relationships

What drives the yield

cyan markers track your current system
How it works

From panel size to annual kWh

Irradiance and irradiation

Irradiance is sunlight power per square metre (W/m²); irradiation is that summed over time (kWh/m²). The annual figure at your site is the foundation of any yield estimate.

Tilt and orientation

Angling panels toward the midday sun captures more. The best fixed tilt is below your latitude, facing the equator; off-axis trades annual yield for a different seasonal balance.

Performance ratio

Heat, wiring, inverter conversion, soiling and downtime bundled into one factor, typically 0.75–0.85. A lossless system would be 1.0.

Specific yield

Annual energy per kW installed, stripping out system size so locations compare fairly: a sunny site might yield 1,800, a cloudy northern one closer to 800.

Worked example. Energy = Array size × Efficiency × Sunlight × Performance ratio. A 6 kW array in a sunny climate with 5.5 peak-sun-hours a day at a typical 80% performance ratio is roughly 6 × 5.5 × 0.8 ≈ 26 kWh a day, about 9,600 kWh a year, before winter and summer swing or shading. For London, facing the equator at a good tilt collects about 19% more than a flat roof; the bars show each orientation as a share of that south-facing figure.
Field notes

How a yield estimate is built

From flat sunlight to what the panel sees

Climate data gives global horizontal irradiation. A panel is neither flat nor pointed at the sun, so the number must be moved onto its plane, and that is where estimators go wrong. The horizontal total is split into beam and diffuse using the Erbs correlation on the clearness index (London is roughly half diffuse, why British roofs are more forgiving about orientation than Spanish ones). The beam is projected onto the tilted plane by a ratio integrated across the whole day. Then the sky is treated as uniformly bright (the isotropic assumption), so a tilted panel sees (1 + cos β)/2 of it, plus a little from the ground.

91% → 59%

This page used to get that badly wrong

It compared the sun’s angle at solar noon only and scaled by orientation with an expression identical for every direction from east round to north. A north-facing array came out at 91% of south and above a flat roof, which is impossible: pointing a panel away from the sun cannot beat pointing it at the sky. Integrating across the day fixes it, because a surface facing the wrong way spends most of the day with the sun behind it, and noon is the one moment that hides this.

Isotropic sky is the conservative choice

It under-reads a clear-sky site by a few per cent, because real skies are brighter near the sun. For a tool someone is using to decide whether to spend money, that is the right direction to be wrong in.

41° / 31°

Latitude is too steep

The familiar rule is “set it to your latitude”. Diffuse light arrives from the whole sky rather than the sun’s direction, and the more of it the flatter you want the panel: the optimum comes out at 41° for London at 51.5°N and 31° for Phoenix at 33.4°N, below latitude in every location on the list.

Questions

What people ask

Why does tilt and orientation matter so much?

Enormously, and more than the old version of this page suggested. Facing the equator at a good tilt, London collects about 19% more than a flat roof. Turn that same array to face the pole and it collects 59% of the south-facing figure — and less than if you had left it flat, because it loses the direct beam and half the sky at once. East or west costs about 18%, which is often worth accepting for a flatter output curve across the day.

On tilt, the familiar rule is “set it to your latitude”. That is too steep. Diffuse light arrives from the whole sky rather than from the sun’s direction, and the more of it there is the flatter you want the panel: the optimum here comes out at 41° for London at 51.5°N and 31° for Phoenix at 33.4°N. Below latitude in every location on the list.

What is a performance ratio, really?

The fraction of a system’s theoretical output it actually delivers once every real-world loss is accounted for — heat derating, wiring resistance, inverter conversion, soiling, and small mismatches between panels. A well-installed system typically lands around 75–85%.

Why might my real system output differ from this estimate?

This tool uses baked-in long-run climate averages, not live weather, satellite imagery, or site-specific shading. A tree, a chimney, or an unusually cloudy year can shift real output meaningfully above or below the estimate — which is exactly why installers run a proper site survey before quoting.

How does location affect the numbers?

Mostly through irradiation — how much sunlight a location receives on average — and secondarily through temperature, since panel efficiency drops slightly as they heat up. Two identically sized systems in different climates can have meaningfully different annual yields.

Results are for reference only. These are estimates from climate averages, not a site survey — get a professional assessment before buying or sizing a real system.
Version history · 1 release
  1. v3.762026-08-21Solar PV said a north-facing roof beat a flat one, and the control that would have shown it had no listener

Releases in which this page changed, newest last. Derived from the archived copy of every release, not from notes written afterwards — so it reflects what actually shipped. Site-wide passes are left out; they are in the full changelog.

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