Backup Time Formula:
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This calculator estimates how long a 200Ah (ampere-hour) battery will last powering a specific load, taking into account the battery voltage and system efficiency.
The calculator uses the following equation:
Where:
Explanation: The equation converts battery capacity to watt-hours (accounting for efficiency) then divides by load power to determine runtime.
Details: Accurate backup time estimation is crucial for sizing battery systems, ensuring uninterrupted power supply, and planning for emergency power needs.
Tips: Enter battery voltage (typically 12, 24, or 48V), system efficiency (0.8-0.95 is typical), and load power in watts. All values must be positive numbers.
Q1: What's a typical efficiency value?
A: For lead-acid batteries, use 0.85. For lithium-ion, use 0.90-0.95. This accounts for inverter and system losses.
Q2: Does this account for battery depth of discharge?
A: No. For lead-acid, multiply result by 0.5 (50% DoD). For lithium, multiply by 0.8 (80% DoD) for realistic estimates.
Q3: What voltage should I use?
A: Common system voltages are 12V (small systems), 24V (medium), or 48V (large). Use your battery bank's nominal voltage.
Q4: Can I use this for multiple batteries?
A: For parallel batteries, keep voltage same but multiply Ah by number of batteries. For series, multiply voltage but keep Ah same.
Q5: Why is my actual runtime shorter?
A: Temperature, battery age, cable losses, and actual load variations can reduce runtime. Always add 20-30% margin.