Problem 60806. Estimating Battery Backup Time for an Inverter

In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can supply power during an outage. The backup time (T) can be calculated using the formula:
where:
  • ​ is the battery capacity (in ampere-hours, Ah)
  • ​ is the battery voltage (in volts, V)
  • is the efficiency of the inverter (as a decimal, e.g., 0.9 for 90% efficiency)
  • ​ is the power consumption of the connected load (in watts, W)
  • T is the estimated backup time (in hours)
Write a function to estimate how long an inverter can run on a battery given its capacity, voltage, efficiency, and load power consumption.
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Last Solution submitted on Feb 17, 2025

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