Backup Time Formula:
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This calculator estimates how long a 100Ah battery will last powering a specific load, considering battery voltage, depth of discharge, and system efficiency. It's essential for solar system design and emergency power planning.
The calculator uses the backup time formula:
Where:
Explanation: The formula converts battery capacity to watt-hours, applies discharge and efficiency factors, then divides by load power to get runtime.
Details: Accurate backup time estimation is crucial for sizing solar systems, ensuring adequate power during outages, and protecting battery life by avoiding excessive discharge.
Tips: Enter battery voltage (typically 12V, 24V, or 48V), depth of discharge (0.5 for 50%, etc.), system efficiency (0.85 is typical), and total load power in watts.
Q1: Why use 100Ah as the base capacity?
A: 100Ah is a common battery size for solar systems. For different capacities, multiply the result by (your Ah)/100.
Q2: What's a typical depth of discharge for lead-acid batteries?
A: 50% (0.5) for flooded lead-acid, 80% (0.8) for AGM/gel batteries to maximize cycle life.
Q3: How does battery voltage affect the calculation?
A: Higher voltage systems (24V/48V) are more efficient and can power higher loads with the same Ah rating.
Q4: What factors affect system efficiency?
A: Inverter efficiency (85-95%), wiring losses, battery temperature, and age all impact total system efficiency.
Q5: Can this be used for lithium batteries?
A: Yes, but lithium batteries typically allow deeper discharge (80-90%) and maintain higher efficiency across discharge cycles.