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Battery Energy Calculator

Convert Ah and kWh at any voltage.

Capacity to energy and back: cell voltage to 800 V platforms, all in one place.

Common voltages
Result Live
5.12kWh= 5,120 Wh
100 Ah x 51.2 V / 1000 = 5.12 kWh

The formula

Ah and kWh measure two different things. Ah is charge; kWh is energy. The bridge between them is voltage.

Ah to kWh
kWh = Ah x V / 1000
e.g. 100 Ah x 51.2 V / 1000 = 5.12 kWh
kWh to Ah
Ah = kWh x 1000 / V
e.g. 10 kWh x 1000 / 51.2 V = 195.3 Ah

Use the pack nominal voltage, not its full-charge or empty value. LiFePO4 cells are nominally 3.2 V, so a 16S system is 51.2 V.

What Ah, kWh and voltage mean

Ah (amp-hours)
Charge: one amp of current sustained for one hour. Independent of voltage.
Wh / kWh
Energy. This is the unit used for system sizing, runtime estimates and LCOS math.
Voltage (V)
The bridge between charge and energy. Wh = Ah x V.
SOC / DoD
SOC is the percentage of capacity left; DoD is the percentage already discharged.

Common pack specs

ApplicationVoltageCapacityEnergy
12V 100Ah lead-acid replacement12 V100 Ah1.2 kWh
24V telecom backup24 V200 Ah4.8 kWh
48V telecom rack48 V100 Ah4.8 kWh
Residential LiFePO4 module51.2 V100 Ah5.12 kWh
C&I storage module51.2 V280 Ah14.34 kWh
EV battery pack400 V150 Ah60 kWh

FAQ

What's the difference between Ah and kWh?

Ah measures charge; kWh measures energy. To bridge them, multiply by system voltage: kWh = Ah x V / 1000.

What's the Ah to kWh formula?

kWh = (Ah x V) / 1000. Example: a 100 Ah pack on a 51.2 V LiFePO4 system stores 5.12 kWh of nameplate energy.

Why does my datasheet's kWh look slightly different?

Datasheet figures are nameplate. Real usable energy depends on the BMS SOC window, discharge C-rate, temperature, age and round-trip efficiency.

Should I use cell voltage or system voltage?

Use the pack nominal voltage when sizing a full system. Use cell voltage only when working out single-cell figures.

From conversion to a real system

Need the pack behind the numbers?

Hua Power builds the cabinets, containers and residential packs these numbers come from. Tell us the kWh / Ah target and we will spec a product line that fits.

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