How to Calculate Battery Runtime
The fundamental formula for battery runtime is:
Runtime (h) = [Capacity (Ah) ร Voltage (V) ร DoD ร Efficiency] / Power (W)
For example, a 100Ah 12V lead-acid battery (50% DoD) powering a 50W appliance through an 85% efficient inverter:
Runtime = [100 ร 12 ร 0.50 ร 0.85] / 50 = 510 / 50 = 10.2 hours
The Depth of Discharge (DoD) is critical โ lead-acid batteries should only be discharged to 50% to maximize lifespan, while LiFePO4 batteries can safely use 85-90% of their capacity. Always factor in inverter efficiency losses (typically 10-15%) when running AC appliances from a DC battery.
Battery Capacity Explained
Battery capacity is measured in two ways:
- Amp-hours (Ah): How many amps the battery can deliver for one hour. A 100Ah battery can deliver 100A for 1 hour, or 10A for 10 hours.
- Watt-hours (Wh): Total energy stored. Wh = Ah ร Voltage. A 100Ah 12V battery stores 1200Wh of energy.
When comparing batteries of different voltages, always use Watt-hours for a fair comparison. A 100Ah 12V battery (1200Wh) stores the same energy as a 50Ah 24V battery (1200Wh).
Factors Affecting Real-World Runtime
- Temperature: Battery capacity drops 20-50% in freezing conditions
- Discharge rate (Peukert's effect): Drawing high current reduces effective capacity, especially in lead-acid
- Battery age: Capacity degrades with charge cycles โ a 3-year-old battery may have 70% of original capacity
- Inverter standby draw: Inverters consume 1-5W even with no load connected