Solar Panel Sizing Calculator
How many panels do you need? Enter any three of the number of panels N, daily energy E, panel rating P and peak sun hours H. The fourth is solved, with system losses included, plus array size, roof area, annual output and cost.
N = E / (P × H × η)E = N · P · H · ηStep-by-step solution
System summary
System diagram
Panel count shown is the whole-panel result. Each rectangle is one panel (up to 24 are drawn).
Panels needed versus peak sun hours
Reference data
| Region | Peak sun hours / day | Panels for 10 kWh/day (400 W, η 80%) |
|---|
| Loss | Typical factor | Cause |
|---|---|---|
| Inverter | 0.96 | DC to AC conversion |
| Temperature | 0.90 to 0.95 | Output falls as cells heat up |
| Soiling | 0.95 to 0.98 | Dust, dirt and pollen |
| Wiring | 0.98 | Resistive cable loss |
| Mismatch | 0.98 | Panel-to-panel variation |
| Shading | 0.90 to 1.00 | Trees, roof structures |
| Overall (product) | ≈ 0.75 to 0.85 | Use 80% if unsure |
| Household | kWh / day | kWh / month |
|---|---|---|
| Small apartment | 5 to 8 | 150 to 240 |
| Typical UK or EU home | 8 to 11 | 240 to 330 |
| Average US home | about 29 | about 880 |
| Home with electric heating or EV | 30 to 50 | 900 to 1,500 |
Check your own electricity bill for the real figure. Regional sun hours and household use vary a lot by site and year.
FAQ
What are peak sun hours?
The number of hours per day the sun would need to shine at 1,000 W/m² to deliver the same energy as the real day. Equivalently, the daily solar energy in kWh/m². It is not the number of daylight hours.
Why include a system efficiency?
Panels never deliver their rated power in practice. Inverter, heat, dust, wiring and mismatch losses typically remove 15 to 25%, so the formula divides by η.
Does this size for batteries or off-grid use?
No. It sizes the array for daily energy only. Off-grid designs also need battery capacity, days of autonomy, depth of discharge and a seasonal worst-case month for sun hours.
Why round up?
You can only install whole panels, so N is rounded up to avoid a shortfall. The coverage gauge shows how much extra energy that adds.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| N | Number of solar panels needed (rounded up to next integer) | dimensionless |
| E_load | Total daily energy consumption (load demand) | kWh/day |
| P_panel | Rated output power of one solar panel (STC) | kW |
| H_sun | Average peak sun hours per day (insolation) | h/day |
| η_sys | Overall system efficiency factor (inverter, wiring, derating, etc.) | dimensionless (optional) |
What it means
The number of solar panels required for a given daily energy consumption is N = Total Load Energy / (Panel Output × Sun Hours). This calculation assumes that the panels produce their rated power for the average peak sun hours per day. Example: A daily load of 30 kWh, a panel output of 300W, and 5 sun hours require N = 30000 / (300 × 5) = 30000 / 1500 = 20 panels. This is a basic sizing method; actual design must consider inverter efficiency, battery storage, and seasonal variations. This formula is a starting point for off‑grid and grid‑tied system design.
Worked example
Solar Panels Needed – Practical Example
Real‑World| Parameter | Value |
|---|---|
| Daily energy load | 30 kWh |
| Panel output per day | 1.5 kWh |
| Formula | N = Energy load / Panel output |
Common mistakes
Watch for unit mismatches (W vs kW, single- vs three-phase) and remember to include power factor or efficiency where the formula requires it.Applications
Number of solar panels needed N = Total Load Energy / (Panel Output × Sun Hours) sizes a PV system to meet daily energy requirements. Engineers use it to determine the number of panels, to design battery storage, and to perform cost analysis. This is a key step in photovoltaic system design.
- PV system sizing for residential, commercial, and off‑grid
- Battery storage and inverter sizing
- Cost‑benefit and energy payback analysis
- Design of hybrid renewable energy systems
- Educational understanding of solar sizing
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