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Battery Runtime Calculator

Estimate Battery Backup Time from Capacity and Load

Battery Capacity (Ah)
Battery Voltage (V)
Load Power (W)
Efficiency (%)
Quick Load Presets

Battery Runtime Formulas

Wh = Ah × V (watt-hours)
Runtime(h) = Ah × V × η / P_load
Runtime(h) = Wh × η / P_load
I_load = P_load / V (DC current draw)

Battery runtime depends on total stored energy (Ah × V), the load power, and system efficiency. Inverters, voltage converters, and battery internal resistance all reduce usable energy. Real-world runtime is usually 70-90% of theoretical. For critical applications, test under actual load conditions.

Battery capacity ratings assume a specific discharge rate (typically C/20 for lead-acid, C/5 for lithium). Drawing more current reduces usable capacity (Peukert effect). Runtime estimates should include a 20% safety margin for real-world conditions.

Understanding Battery Runtime

Battery runtime is the time a battery can power a load before needing recharge. It depends on: battery capacity (Ah), system voltage (V), load power (W), and system efficiency (η). Higher capacity, higher voltage, lower load, and higher efficiency all increase runtime. The calculation assumes constant load and ideal conditions.

Lead-Acid Battery

Capacity: 7-200Ah. Voltage: 2V (cell), 6V, 12V. Efficiency: 80-85%. Deep cycle: 50% DoD recommended. 100Ah usable: 50Ah.

Lithium LiFePO4

Capacity: 10-300Ah. Voltage: 3.2V (cell), 12.8V, 25.6V. Efficiency: 90-95%. 80-100% DoD allowed. Lighter, longer life, more expensive.

Watt-Hours (Wh)

Wh = Ah × V. 100Ah × 12V = 1200Wh. 100Ah × 24V = 2400Wh. 5Ah × 3.7V (phone) = 18.5Wh. Comparing batteries: compare Wh, not Ah.

Inverter Efficiency

DC→AC conversion losses. Typical: 85-95%. Modified sine wave: 85-90%. Pure sine wave: 90-95%. Low-power inverter: 70-85%. Factor into runtime.

Teaching Example: 100Ah, 12V battery, 120W LED TV, 85% efficiency.
Wh = 100 × 12 = 1200 Wh. I_load = 120/12 = 10A.
Runtime = 1200 × 0.85 / 120 = 1020 / 120 = 8.5 hours.
With 50% DoD (lead-acid): 4.25 hours usable. With 20% safety margin: ~3.4 hours.

Applications

UPS Sizing Solar Systems RV/Marine Power Electric Vehicles Emergency Backup

Frequently Asked Questions

How to calculate battery runtime?
Runtime = Ah × V × η / P_load. 100Ah×12V×0.85/120W = 8.5 hours. Derate for Peukert and safety margin.
Ah vs Wh?
Ah measures charge (current × time). Wh = Ah × V measures energy. Compare batteries using Wh, not Ah. A 100Ah@12V = 1200Wh.
What is depth of discharge?
DoD = percentage of capacity used. Lead-acid: max 50% DoD for longevity. LiFePO4: 80-100% DoD. Deeper discharge = shorter cycle life.
How does temperature affect runtime?
Cold reduces capacity (lead-acid: -50% at -20°C, lithium: -20% at 0°C). Heat increases capacity but degrades life. 25°C is optimal for most batteries.

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