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Calcimator

Battery Capacity Calculator

Calculate amp-hours and watt-hours needed from load and runtime.

About this calculator

Sizing a battery bank for a backup or off-grid load takes more than just multiplying watts by hours, because the raw load energy is never the same as the battery capacity you actually need to install. This calculator follows the standard off-grid and backup-power sizing approach used across solar and battery design references: start from the load's energy demand (watts times hours), then inflate that figure upward twice more to account for real losses the load-energy number alone doesn't capture. First, DC-to-AC inverter conversion isn't perfectly efficient, so slightly more energy has to leave the battery than the load actually consumes.

Second, you can never safely draw a lead-acid or lithium battery down to zero charge -- the maximum depth of discharge (DoD) sets the usable fraction of nominal capacity, and cold temperatures reduce a battery's effective capacity further on top of that, which is why this calculator applies both a DoD limit and a separate temperature derating factor before arriving at the final required capacity. The DoD and temperature-derating figures used here are typical planning values -- actual safe DoD varies significantly by battery chemistry (commonly around 50% for flooded lead-acid, higher for AGM, and often 80-100% for lithium iron phosphate) and cold-weather capacity loss varies by chemistry and by how cold "cold" actually gets at your site, so always confirm both figures against your specific battery manufacturer's datasheet rather than relying on this calculator's defaults for a real installation.

Inputs

W
hrs
V
%
%
%

Results

Required Capacity

122 Ah

Required Capacity

5.8 kWh

≈ 6 loads of laundry

Load Energy4,211 Wh
Battery Energy (with losses)5,848 Wh
How to Use This Calculator
  1. Enter Load Power, Required Runtime, and System Voltage.
  2. Set Max Depth of Discharge, Inverter Efficiency, and Temperature Derating.
  3. Review Required Capacity (Ah) and Required Capacity (kWh).
  4. Use Load Energy (Wh) and Battery Energy (with losses) (Wh) to inform your decision.

How the result changes with Load Power

Load PowerRequired CapacityRequired Capacity
25061 Ah2.9 kWh
37591 Ah4.4 kWh
750183 Ah8.8 kWh
1,250305 Ah14.6 kWh

What each input means

Load Power
Total continuous load in watts.
Required Runtime
Hours of backup runtime needed.
System Voltage
Battery system voltage.
Max Depth of Discharge
Maximum safe discharge level for the battery type.
Inverter Efficiency
DC-to-AC inverter efficiency.
Temperature Derating
Capacity reduction due to cold temperatures.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    6 parameters
    Load Power = 500, Required Runtime = 8, System Voltage = 48, Max Depth of Discharge = 80, Inverter Efficiency = 95, Temperature Derating = 10 = 6 input(s) provided
  2. Calculate Required Capacity
    Required Capacity
    122 = 122
  3. Calculate Required Capacity
    Required Capacity
    5.8 = 5.8
  4. Calculate Load Energy
    Load Energy
    4211 = 4211
  5. Calculate Battery Energy
    Battery Energy
    5848 = 5848

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does inverter efficiency increase the required battery capacity rather than decrease it?

The load you enter is what the AC-side equipment actually consumes, but the battery only supplies DC power, which the inverter converts with some energy lost as heat in the process. To deliver a fixed amount of usable AC energy to the load, the battery has to supply more DC energy than the load number alone suggests -- so a lower inverter efficiency (more loss) means the battery must supply even more, which is why decreasing inverter efficiency increases the calculated required capacity rather than reducing it.

Why does raising the max depth of discharge lower the required battery capacity?

Depth of discharge (DoD) sets what fraction of a battery's nominal capacity you can safely use before it's considered fully discharged -- a battery rated for 80% DoD only delivers 80% of its labeled capacity as usable energy. A higher allowed DoD means more of each battery's nominal capacity counts as usable, so fewer total amp-hours or watt-hours of nominal battery capacity are needed to deliver the same amount of usable energy to the load.

Does system voltage affect how much energy (Wh) the battery bank needs to store?

No -- the required watt-hours and kilowatt-hours are driven entirely by load power, runtime, inverter efficiency, DoD, and temperature derating, none of which involve voltage. System voltage only comes into play when converting that fixed energy requirement into amp-hours (Ah = Wh / V), which is why a higher system voltage lowers the required amp-hour rating for the exact same energy requirement -- the same energy is just being delivered at higher voltage and lower current.

Are the default DoD and temperature derating values accurate for any battery type?

No -- they're general planning defaults, not a fixed spec for any particular battery chemistry. Safe depth of discharge varies substantially between battery types (commonly lower for flooded lead-acid, higher for AGM, and often much higher for lithium iron phosphate), and cold-weather capacity derating depends on both the battery chemistry and how cold your installation actually gets. Always replace these defaults with figures from your specific battery manufacturer's datasheet before sizing a real installation.

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