Battery Runtime Calculator: LiFePO4, AGM & Inverter Tare Losses
Accurately calculate battery bank backup hours under real-world continuous electrical loads. Accounts for inverter conversion efficiency, no-load tare overhead, and chemistry discharge curves.
Runtime (hrs) = [Nominal Wh × DoD%] ÷ [(AC Watts ÷ Efficiency) + Inverter Idle Watts] Planning estimate. Verify equipment limits and site-specific requirements before final design. Start with the estimate, then compare it with actual equipment specifications, environmental conditions and applicable electrical requirements.
Mathematical Model & Engineering Assumptions
Standard theoretical runtime calculators divide battery watt-hours by load wattage, yielding wildly optimistic runtime estimates that can leave off-grid systems stranded in darkness. This engineering calculator incorporates the two critical real-world drain factors: inverter power conversion efficiency and inverter tare (idle) consumption.
1. Usable Energy Calculation
Nominal energy in Watt-hours (Wh) is calculated from nominal pack voltage (V) and rated Amp-hour capacity (Ah):
Nominal Wh = V_nominal × Capacity_Ah
Usable Wh = Nominal Wh × (Depth_of_Discharge ÷ 100) - Lithium Iron Phosphate (LiFePO4): Sized for 80% to 90% Depth of Discharge (DoD). Because LiFePO4 exhibits a flat discharge curve and minimal rate-dependent capacity loss, linear watt-hour modeling provides an accurate practical runtime estimate.
- Absorbent Glass Mat (AGM) / Flooded Lead-Acid: Sized for 50% DoD to preserve cycle life. Note: Lead-acid effective capacity varies significantly with high discharge rates (Peukert's Law). This calculator provides baseline runtime modeling based on rated capacity; heavy loads on lead-acid banks may result in shorter real-world runtimes than linear calculations suggest.
2. Total Battery Draw Modeling
An inverter converting DC battery voltage to 120V or 240V AC power is not 100% efficient, and it consumes internal quiescent power just staying powered on:
Total Load Watts = (AC Load Watts ÷ Inverter Efficiency) + Inverter Idle Watts Worked Real-World Example
Scenario: Powering a 100W Starlink dish + networking switch from a 12V 100Ah LiFePO4 battery via a 1000W pure sine wave inverter (90% efficiency, 15W tare loss) down to 80% DoD:
- Nominal Wh: 12V × 100Ah = 1,200 Wh
- Usable Wh: 1,200 Wh × 0.80 = 960 Wh
- Effective Load: (100W ÷ 0.90) + 15W = 111.1W + 15W = 126.1 Watts
- Delivered Runtime: 960 Wh ÷ 126.1W = 7.61 Hours (7 hrs 37 mins)
Note: A naive calculator would estimate 1,200 ÷ 100 = 12.0 hours, an error of over 4.3 hours (+57% overestimate)!