Battery planning
Battery Runtime Calculator
Estimate how long your 12V, 24V, or 48V battery bank will power connected appliances in hours and minutes, factoring in DOD reserves, battery health, and inverter losses.
Calculate estimated runtime
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How to Calculate Battery Backup Runtime
- Enter Battery Capacity (Ah or Wh): Choose nominal system voltage (12V, 24V, 48V) and Amp-hour capacity.
- Select or Enter Appliance Load (Watts): Enter continuous average running watts or use the appliance load builder.
- Set Depth of Discharge (DOD) Reserve: Lithium LiFePO4 batteries allow 80% to 90% usable capacity; Lead-Acid/AGM allows 50%.
- Review Operating Duration: View exact hours and minutes of backup power available.
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Battery Discharge & Backup Flow Topology
Multi-source charging, chemical storage management, and pure sine wave inverted backup delivery.
๐InputGrid / Solar InputPrimary Energy Input
โกProtectionSmart BMS ChargerMulti-Stage CC/CV Charging
๐ReservesBattery Bank12V / 24V / 48V Storage
๐InverterPure Sine InverterDC to 120V/240V AC (88โ92%)
๐กProtectedCritical SubpanelRefrigeration, Medical, Wi-Fi
Engineering Principle: Continuous AC backup runtime is determined by usable Depth of Discharge (DOD) and inverter conversion efficiency.
Common Battery Runtime Scenarios (100Ah vs 200Ah LiFePO4)
Estimated continuous operating hours for popular appliances powered by a 12V lithium battery (80% usable capacity, 90% inverter efficiency):
| Device / Load | Average Power | 100Ah 12V Runtime | 200Ah 12V Runtime |
|---|---|---|---|
| Wi-Fi Router + Modem | 15 W | ~57.6 hours (2.4 days) | ~115.2 hours (4.8 days) |
| CPAP Machine (no heated humidifier) | 35 W | ~24.7 hours (~3 nights) | ~49.4 hours (~6 nights) |
| Starlink Satellite Terminal | 50 W | ~17.3 hours | ~34.6 hours |
| 12V Portable Camping Fridge | 30 W avg (cycling) | ~28.8 hours (1.2 days) | ~57.6 hours (2.4 days) |
| Desktop PC + Monitor | 200 W | ~4.3 hours | ~8.6 hours |
| Full-Size Refrigerator (cycling) | 150 W avg | ~6.3 hours | ~12.7 hours |
Battery Runtime Calculation Formula
Calculates exact continuous running duration by determining net usable stored energy after Depth-of-Discharge (DOD) limits, battery health degradation, and inverter conversion losses.
Formula
Runtime (hours) = (Capacity_Wh ร Usable_SOC ร Battery_Health ร Efficiency) / Load_WattsVariable Definitions
Capacity_WhNominal Battery Energy(Wh)- Rated battery watt-hours (or Volts ร Amp-Hours).
Usable_SOCUsable State of Charge Window(fraction)- Fraction of capacity available above minimum reserve (e.g., 80% for LiFePO4, 50% for Lead-Acid).
Battery_HealthState of Health (SOH)(fraction)- Available capacity relative to original factory rating (default 100%).
EfficiencyConversion Efficiency (ฮท)(fraction)- Inverter efficiency for AC loads (85%โ93%) or DC-DC step efficiency.
Load_WattsContinuous Power Demand(W)- Average real-time appliance consumption (Running Watts ร Duty Cycle).
Engineering Notes & Standards
- For intermittent loads like refrigerators and AC compressors, average load = running watts ร duty cycle (typically 30%โ45%).
- Lead-acid and AGM batteries experience Peukert capacity loss under heavy discharge rates (>0.2C).
Frequently Asked Questions (FAQ)
How long will a 100Ah 12V battery run a refrigerator?
A standard household refrigerator averaging 150W (cycling with a ~35% compressor duty cycle) will run for approximately 6.3 hours on a 12V 100Ah LiFePO4 battery (assuming 80% usable capacity and 90% inverter efficiency). On a 200Ah battery, it will run for about 12.7 hours.
How long will a 100Ah battery run a CPAP machine?
A CPAP machine consuming 35W without a heated humidifier will run for approximately 24.7 hours on a 12V 100Ah LiFePO4 battery, or around 3 full 8-hour nights of sleep before needing recharge.
Why does a 12V 100Ah battery not provide the full 1,200 watt-hours?
Nominal energy is 12V ร 100Ah = 1,200Wh. However, usable capacity is reduced by minimum state-of-charge reserve limits (typically 20% for LiFePO4 or 50% for Lead-Acid) and AC inverter conversion losses (typically 85%โ92% efficiency).
How do I calculate battery runtime for AC appliances?
Divide usable battery watt-hours by the battery-side load. For AC equipment: Usable Wh = Rated Wh ร Usable Fraction. Battery-Side Load = Appliance Watts รท Inverter Efficiency. Runtime Hours = Usable Wh รท Battery-Side Load.