How many solar panels do I need?
The panel-count math in one line, worked examples from a fridge to a full house, and why batteries change the answer.
The math
Every panel-count question reduces to the same division chain — the energy you use per day, spread across the sun hours you actually get, adjusted for real-world losses, divided by what one panel produces:
Number of panels = daily Wh need ÷ sun hours ÷ 0.86 (system derate) ÷ panel watts
The 0.86 is 1 − 0.14: the default 14% total system loss in NREL's PVWatts Version 5 manual (Table 6). In plain terms, it is the energy a typical array loses to dirt on the glass (2%), distant shading (3%), panel-to-panel mismatch (2%), wiring (2%), connections (0.5%), first-sun light-induced degradation (1.5%), panels testing slightly under their label (1%), and downtime (3%). It does not include inverter losses, which PVWatts models separately, or battery charge and discharge losses — see the battery section below. The calculator's sizeSystem uses the same 0.86 and rounds array watts up to the next 100 W.
sizeSystem rounds that up to 400 W. The 0.86 is Table 6 of the NREL PVWatts Version 5 manual.Worked examples at 4.5 sun hours, 400 W panels
| Load | Daily Wh | ÷ 4.5 ÷ 0.86 | Calculator array (next 100 W) | 300 W panels (calculator) | 400 W panels |
|---|---|---|---|---|---|
| 2,000 Wh input | 2,000 | 516.8 W | 600 W | 2 | 2 |
| 4,000 Wh input | 4,000 | 1,033.6 W | 1,100 W | 4 | 3 |
| 8,000 Wh input | 8,000 | 2,067.2 W | 2,100 W | 7 | 6 |
| 15,000 Wh input | 15,000 | 3,876.0 W | 3,900 W | 13 | 10 |
| 30,000 Wh input | 30,000 | 7,751.9 W | 7,800 W | 26 | 20 |
The table uses 4.5 sun hours. Type 4.5 into the calculator's sun-hour field (it opens at 4) and the same daily watt-hours print the same array and 300 W panel count. The 400 W column is the calculator array ÷ 400, rounded up.
The EIA average-home bill, sized from the published annual kWh, is on what size solar system for an average home.
Battery coupling changes the count
If your panels charge a battery and the battery runs your night loads, the bank adds losses and the array has to refill what the night drains. Two adjustments:
- Round-trip losses: the 0.86 derate does not include them.
panelsForBatterydivides by 0.85 on the recharge path. Do not stack another factor on top of that division. - Autonomy days: a bank sized for more than one day still has to be refilled from the watt-hours you actually drew. Size that refill from the measured day, not from a second copy of the array formula.
Work the other direction with the panels-per-battery recharge math, or size the whole bank first with the battery bank sizer, then size panels to refill it.
Grid-tie vs off-grid changes the goal
Grid-tie panels only need to offset your annual bill — they can overproduce at noon and export. Off-grid panels must cover the worst day of the year, because there's no grid to fall back on. That's why two homes with identical loads can need very different arrays: the off-grid one is sized for December, the grid-tie one for the year.
Sanity checks before you buy
- Roof space: check the module's own dimensions against the roof before you order the count.
- Inverter headroom: array watts should stay within your inverter's max PV input — see whole-system sizing for pairing.
- Reduce, then size: every 100 Wh/day you trim (LED swaps, an efficient fridge) removes about 26 W of array at 4.5 sun hours (100 ÷ 4.5 ÷ 0.86). Efficiency is cheaper than panels.
How a panel turns sunlight into the watts this count starts from is on how solar panels work. When several strings share a combiner, the series-fuse case is on how to fuse a solar panel array. Reading a nameplate before you order that count is on how to buy solar panels.
Compiled with AI assistance from the sources below. Spot an error? Email [email protected].
Sources
- NREL PVWatts Version 5 Manual, A. Dobos, September 4, 2014 — Table 6 default system losses, 14% total; 1 − 0.14 = 0.86. Accessed Oct 3, 2026.
- SolarSizer calculator, assets/app.js —
sizeSystem: daily watt-hours ÷ sun hours ÷ 0.86, rounded up to the next 100 W, then ÷ 300 W panels, rounded up. Every table row is that function at 4.5 sun hours. Accessed Oct 3, 2026.
1,200 ÷ 4.5 ÷ 0.86 = 310.1 W, and sizeSystem rounds that up to 400 W. Each table row is the same function at 4.5 sun hours. Accessed Oct 6, 2026.