Lithium Manganese Rechargeable Battery Life Calculator

This calculator is used for constant voltage trickle chargers. For lithium manganese batteries (ML), the maximum charge/discharge times (battery life) are affected by the depth of discharge (DoD). The calculator can estimate the life of the ML battery given the depth of discharge, and the calculator uses an estimated battery load to determine the backup time of the battery relative to the depth of discharge.

When the ML battery is repeatedly used, the capacity when the battery is fully charged will gradually decrease, that is, the time during which the battery is discharged to the specified depth of discharge is gradually shortened. The calculator does not take this factor into account, but the results are a good approximation to estimate battery life.

This calculator uses the following formula:

\(y = (a+b \times x)/(1+c \times x)\) or \(period = (a+b\times DoD)/(1+c\times DoD)\)

The relationship between the number of charge/discharge cycles and the depth of discharge, where a, b, and c are constants based on battery test data. The battery discharge time (hours) multiplied by the number of uses is the total discharge time (hours).

The input parameters are:

I_{BAT} — The current consumed by the device when the battery is powered.

DoD — Depth of discharge, the percentage of battery discharge that is a percentage of total battery capacity.

Figure 1. Correspondence between ML battery charge/discharge times and discharge depth.

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