Backup Time Formula:
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This calculator estimates how long a 150Ah (ampere-hour) battery will last powering a specific load, considering the battery's voltage and system efficiency.
The calculator uses the following formula:
Where:
Explanation: The formula converts battery capacity to watt-hours (multiplying Ah by voltage), accounts for system losses (multiplying by efficiency), then divides by load power to get runtime.
Details: Knowing your battery backup time helps in sizing battery systems for UPS, solar installations, or emergency power systems to ensure adequate runtime for critical loads.
Tips: Enter system voltage (typically 12V, 24V, or 48V), efficiency (0.85 is common for inverter systems), and total load power in watts. All values must be positive numbers.
Q1: What's a typical efficiency value?
A: For inverter systems, 0.85-0.90 is common. For DC systems without inversion, 0.95 may be appropriate.
Q2: Why 150Ah specifically?
A: 150Ah is a common battery size, but you can adjust the formula for other capacities by replacing 150 with your battery's Ah rating.
Q3: Does this account for battery discharge limits?
A: No, for lead-acid batteries, you shouldn't discharge below 50% for best lifespan, so halve the result for practical purposes.
Q4: How accurate is this calculation?
A: It provides an estimate. Actual runtime varies with battery age, temperature, discharge rate, and other factors.
Q5: Can I use this for lithium batteries?
A: Yes, but lithium batteries can typically discharge deeper (80-100%) than lead-acid, so less adjustment is needed.