Problem 60808. Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (DoD), load profile, and the battery's cycle life. The cycle life of a battery is the number of complete charge-discharge cycles the battery can undergo before its capacity falls below a certain percentage of its original capacity (e.g., 80%).
The lifetime of the battery can be estimated using the following formula:
Where:
is the battery lifetime in years (assuming one full charge-discharge cycle per day)
is the number of charge-discharge cycles the battery can undergo before its capacity drops below 80%
- DoD is the Depth of Discharge (in percentage, e.g., 80%)
In this problem, you are given:
- The cycle life of the battery
- The DoD for the battery (how much percentage of the battery’s total capacity is being used)
- The load profile (which indicates how often the battery is being charged and discharged during a day)
You are asked to compute the battery lifetime using the given data and assumptions.
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