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Solar Panel Calculator: How Many Panels You Need

The Solar Panel Calculator: How Many Panels You Need estimates how many solar panels cover your yearly kWh from peak sun hours, panel wattage, PVWatts default losses and inverter efficiency, with system size.

Quick Answer: To cover 10,791 kWh a year at 4.5 peak sun hours with 400 watt panels, you need 20 panels, an 8 kW system that should produce about 10,848 kWh a year after typical losses.

Assumptions

Computed
%
%

Preset scenarios

Solar panels needed
20 panels
System size
8 kW
Estimated production per year
10,848 kWh
Yield per kW of panels
1,356 kWh/yr
Exact size to cover the target
7.96 kW
Panel area
0 sq ft
Panel area (metric)
0 m²

Panels needed for 10,791 kWh a year by sun hours

Download CSV
Each row is this calculator run on 10,791 kWh a year with 14% losses, a 96% inverter and the panel rating shown, at the peak sun hours in the first column.
Peak sun hours (h/day)Panel rating (W)PanelsSystem size (kW)
33503512.25
34003012
34502712.15
3.53503010.5
3.54002610.4
3.54502310.35
4350269.1
4400239.2
4450209
4.5350238.05
4.5400208
4.5450188.1
5350217.35
5400187.2
5450167.2
5.5350196.65
5.5400176.8
5.5450156.75
6350186.3
6400156
6450146.3
6.5350165.6
6.5400145.6
6.5450135.85

This table and its CSV are free to reuse with a link to this page, CC BY 4.0.

Solar Panel Calculator: How Many Panels You Need: Solar panels needed 20 panels (Electricity to cover per year (kWh): 10,791; Peak sun hours per day: 4.5; System losses: 14 %; Inverter efficiency: 96 %; Panel rating (watts): 400; Area of one panel (sq ft, optional): 0).

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A one-page summary of this calculator's default example, drawn from the same calculation as the result above.

The infographic is free to reuse with a link to this page, CC BY 4.0.

Illustration of a house roof with rows of dark blue solar panels under a clear blue sky
Solar Panel Calculator: How Many Panels You Need: default example results, System size 8; Exact size to cover the target 7.96.
Drawn from this calculator's own default inputs. Change the inputs above to see your own figures.
Quick Answer: To cover 10,791 kWh a year at 4.5 peak sun hours with 400 watt panels, you need 20 panels, an 8 kW system that should produce about 10,848 kWh a year after typical losses.

What does this calculator do?

This solar panel calculator estimates how many panels it takes to cover a year of electricity use. Give it the kilowatt hours you want to produce, the peak sun hours where the panels will sit, and the rating of the panel you are considering, and it works out the system size and the panel count, rounded up to whole panels.

The method is the energy chain used by PVWatts, the free tool the National Renewable Energy Laboratory built for exactly this question, run backwards. One kilowatt of panels in full sun for one hour makes one kilowatt hour of DC electricity. Losses from dirt, shading, wiring and downtime take some of it away, and the inverter takes a little more converting it to AC. The calculator uses PVWatts' own defaults for those two losses, 14% and 96%, so its yield per kilowatt matches a simple PVWatts estimate at the same sunlight.

What it cannot know is your sunlight. Peak sun hours depend on where you live, which way the roof faces and how steep it is. PVWatts will give you that figure for your address in a minute, and the calculator is only as good as the number you put in.

Using the Solar Panel Calculator

  1. Add up a year of electricity use from your bills, in kWh. The default, 10,791 kWh, is the US Energy Information Administration's figure for an average home in 2022.
  2. Enter the peak sun hours for your roof. In PVWatts, enter your address and roof angle; the annual "solar radiation" result in kWh per square metre per day is the number to use.
  3. Leave the losses and inverter efficiency at the PVWatts defaults unless you know better. Raise the losses for a partly shaded roof.
  4. Enter the panel's rated wattage from its datasheet, and optionally its area to see how much roof the array covers.
  5. Read the number of panels at the top, with the system size and estimated production below.

The presets compare a sunnier site at 5.5 sun hours, a cloudier one at 3.5, and a smaller 6,000 kWh target with 430 watt panels.

How is this calculated?

  1. Find the yield of one kilowatt of panels. Panel ratings are measured at 1 kW of sunlight per square metre, so a day with 4.5 kWh per square metre of sunlight gives each kilowatt of panels 4.5 kWh of DC energy. Over a year that is 365 times as much. System losses and the inverter then take their share.

yield per kW = sun hours × 365 × (1 − losses) × inverter efficiency

  1. Find the system size. Divide the yearly target by the yield per kilowatt. That is the exact DC size that would produce the target.

kW needed = (kWh per year)/(yield per kW)

  1. Round up to whole panels. Divide the kilowatts by the panel rating in kilowatts and round up.

panels = ⌈(kW needed × 1000)/(panel watts)⌉

  1. Work out what those panels produce. Panels times their rating is the actual system size. That size times the yield per kilowatt is the estimated yearly production, which is a little above the target because of the rounding.
  1. Add up the panel area if given. Panels times the area of one panel, in square feet and square metres.

Worked Example

The default is 10,791 kWh a year, 4.5 peak sun hours, 14% losses, a 96% inverter and 400 watt panels:

  1. Yield per kW: 4.5 × 365 × 0.86 × 0.96 = 1,356 kWh a year (1,356.048 before rounding).
  2. Size needed: 10,791 ÷ 1,356.048 = 7.96 kW.
  3. Panels: 7.96 kW divided by 0.4 kW per panel, rounded up, is 20 panels.
  4. Actual system: 20 × 400 W = 8 kW, producing about 10,848 kWh a year.

At a sunnier site with 5.5 sun hours the same use takes 17 panels (6.8 kW). At a cloudier site with 3.5 sun hours it takes 26 panels (10.4 kW). The sunlight figure moves the answer more than anything else on the form.

A smaller target of 6,000 kWh with 430 watt panels of 21.5 square feet each needs 11 panels, a 4.73 kW system covering 236.5 square feet before any gaps between panels.

How Many Solar Panels Do I Need for My House?

Divide your yearly use by what one kilowatt of panels produces where you live, then divide by the panel size. For a home using the 2022 US average of 10,791 kWh, the answer runs from 17 to 26 panels of 400 watts as sun hours go from 5.5 down to 3.5.

The table below shows the range from 3 to 6.5 sun hours for three panel sizes. The Department of Energy notes that NREL's analyses use an average residential system of 7.15 kW, within a range of 3 to 11 kW, which is where most of the table falls.

What Are Peak Sun Hours?

The total sunlight a surface receives in a day, expressed as the number of hours of full-strength sun (1 kW per square metre) that would deliver the same energy. A day of 4.5 peak sun hours might be ten hours of daylight that starts weak, peaks at midday and fades.

The figure depends on latitude, climate, and the tilt and direction of the panels. The Department of Energy says panels typically do best on south-facing roofs sloped between 15 and 40 degrees.

What does this calculator not account for?

  • Heat. Panels lose output as they get hot. PVWatts models cell temperature hour by hour; this calculator does not, so in a hot climate its production estimate runs high.
  • Seasons and hours. A single average sun-hours figure stands in for a year of changing weather. Production in winter and summer can differ widely.
  • Inverter sizing and clipping. The inverter is treated as a flat efficiency. A small inverter that clips output at midday is not modelled.
  • Roof layout. Panel area is the panels alone. Setbacks from edges and ridges, vents and spacing need more roof.
  • Cost, incentives and net metering. None are included. Savings depend on your rates and your utility's rules.
  • Panel ageing. Output falls slowly over the years. Raise the losses if you want to size for later years.

What mistakes do people make with this?

  • Using daylight hours instead of peak sun hours. Twelve hours of daylight is not twelve sun hours. Use the solar radiation figure from PVWatts.
  • Using a monthly bill instead of a year. One winter or summer bill times twelve over- or under-states use. Add up a full year.
  • Sizing for a roof that faces north. A north-facing roof in the northern hemisphere gets far less sun. Get the sun hours for the actual roof direction.
  • Ignoring shade. A tree that shades the roof at midday can cost more than the 3% shading built into the default losses.
  • Treating the result as a quote. Installers run detailed hourly models and site surveys. This is a starting estimate.

Frequently Asked Questions

How much electricity does one solar panel produce?

A 400 watt panel is 0.4 kW, so it makes 0.4 times the yield per kilowatt shown on the calculator. At the defaults the yield is 1,356 kWh per kilowatt a year; at 5.5 sun hours it rises to 1,657.4.

What size solar system do I need?

Divide your yearly kWh by the yield per kilowatt at your sun hours. At the defaults that is 7.96 kW exactly, or 8 kW in whole 400 watt panels.

Where do I find peak sun hours for my location?

Enter your address in PVWatts, set the roof tilt and azimuth, and read the annual average solar radiation in kWh per square metre per day. That number is your peak sun hours.

Why are system losses set to 14%?

It is the default in PVWatts Version 5, built from separate allowances for soiling, shading, mismatch, wiring, connections, light-induced degradation, nameplate rating and availability. Change it if your site is shaded or your installer gives a different figure.

Does the calculator include batteries?

No. It sizes a grid-tied array to produce a yearly total. Battery storage depends on when you use power, not how much.

Can I use it for a partial offset?

Yes. Enter the share of your use you want to cover as the yearly kWh target. The 6,000 kWh preset is an example.

Sources

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How this calculator is tested

This calculator is checked by 6 automated test cases: specific inputs whose correct result is known in advance, and rules the output must always obey. They run on every change to the site. See the testing and corrections policy.

Show the test cases
  • Default: 10,791 kWh at 4.5 sun hours is 20 panels of 400 W
  • 5.5 and 3.5 sun hours give 17 and 26 panels
  • 6,000 kWh with 430 W panels of 21.5 sq ft is 11 panels on 236.5 sq ft
  • returns zeros without sun hours or a panel rating
  • builds the reference table from compute()
  • Zero inverter efficiency says Not available instead of using 96%

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