Solar & Energy Storage

Off-Grid Autonomy Calculator

Work out how long a battery bank runs a given load, and how much array is needed to replace it each day.

  • Answers as you type
  • Every formula cited
  • Calculated in your browser
SettingsSettings for this calculationUS
Market
Imperial · sales tax
Rated capacity of the bank.

The RATED capacity, which is not the usable one. How much may actually be drawn is set by the depth of discharge the chemistry tolerates, and that differs enormously between types — taking a lead bank to the depth a lithium one accepts destroys it in a season. Rated capacity also falls with age and with cold, so a bank sized on its nameplate has less than the nameplate on the winter night that autonomy is bought for.

Depth of discharge times round-trip efficiency.

About 85% for LiFePO₄, about 40% for flooded lead-acid. This is the single figure that separates a battery's advertised size from what it will actually run.

Average continuous draw.

Average, not peak. A fridge that draws 150 W while running and cycles half the time averages 75 W. Sizing on peak draw drastically understates autonomy.

Nameplate DC of the array.

A laboratory rating at a standard test condition the roof effectively never sees. Real output sits below it in every month of the year — panel temperature alone takes a noticeable share on a warm day — and in winter, which is precisely when autonomy matters, short days and a low sun angle take far more. Sizing a winter question with a summer number is the commonest way an off-grid system disappoints its owner in January.

Daily solar resource at your site.

Roughly 2-3 in a northern winter, 4-6 in summer, 5-7 year-round in a sunny climate. Size an off-grid system on the WORST month, not the average — the average leaves you dark in December.

Autonomy

25.5 hours

Medium confidence

Generation exceeds consumption on an average day at the stated sun hours.

Usable energy
12.75 kWh
Days at this load
1.06 days
Daily consumption
12 kWh
Daily generation after losses
12.04 kWh
Daily surplus or shortfall
0.04 kWh
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Daily array yield = rated DC watts × peak sun hours × system derate; NREL PVWatts methodology
  • Peak sun hours is the daily insolation in kWh/m² and varies by location and season — it is a site input, not a constant

Inputs used

Battery nameplate (kWh)
15
Usable share of nameplate (%)
85
Continuous load (kW)
0.5
Array size (kW DC)
4
Peak sun hours per day
3.5

Intermediate steps

Usable energy
12.75 kWh
Days at this load
1.06 days
Daily consumption
12 kWh
Daily generation after losses
12.04 kWh
Daily surplus or shortfall
0.04 kWh
Final result25.5 hours

Confidence note: Generation exceeds consumption on an average day at the stated sun hours.

What this calculation does not cover

  • Peak sun hours vary by season by a factor of two or more. An off-grid system must be sized on the worst month, not the annual average.
  • Assumes the load is constant. Real loads cycle, and a system that works on averages can still fail on a bad evening.
  • Ignores charge-controller limits and the fact that a full battery cannot absorb surplus generation.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-08-27 · in the site-wide review of 2026-09-06 · v1.0.0

Regulatory standards & verification citations2
  1. Daily array yield = rated DC watts × peak sun hours × system derate; NREL PVWatts methodology
  2. Peak sun hours is the daily insolation in kWh/m² and varies by location and season — it is a site input, not a constant
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

Still deciding? Off-Grid vs Grid-Tied with Battery Backup — the factors that actually differ, with no invented prices.

How to calculate off-grid autonomy in 6 steps

  1. Battery nameplate (kWh)Rated capacity of the bank.
  2. Usable share of nameplate (%)Depth of discharge times round-trip efficiency.
  3. Continuous load (kW)Average continuous draw.
  4. Array size (kW DC)Nameplate DC of the array.
  5. Peak sun hours per dayDaily solar resource at your site.
  6. AutonomyThe tool computes the autonomy from those figures and shows the formula, its sources, and a confidence rating alongside it.

Autonomy by battery nameplate (kWh)

Page defaults, not your figures above.

Battery nameplate (kWh)Autonomy (hours)
23.4
58.5
1017
2034
5085
100170

Frequently asked questions

Why size on the worst month?
Because an off-grid system has no fallback. Peak sun hours in a northern winter can be a third of the summer figure, so a system sized on the annual average runs out in December — the month you least want it to. Size on the worst month, or accept a generator for that period and size on something between.
What is a peak sun hour?
An hour at 1000 W/m², the reference irradiance panels are rated at. A site with 3.5 peak sun hours receives 3.5 kWh/m² across the day, spread over more actual daylight at lower intensity. It is a way of collapsing a whole day's varying sunlight into one number that multiplies cleanly against a panel rating.
Why does the surplus matter if the battery is full?
It largely does not, and that is the point people miss. A full battery cannot absorb surplus, so generation above what the load takes is simply lost. Oversizing an array for the worst month means throwing away most of the summer output — which is fine, and cheaper than the battery that would store it.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.