Battery Capacity for Sequential Events
Total Required Battery Capacity: 0 Ah
How to Use This Calculator
This calculator determines the total required battery capacity (C) in ampere-hours (Ah) for two sequential discharge events. It accounts for the load currents (I1, I2), discharge times (t1, t2), discharge rates (Rc1, Rc2), and includes corrections for non-linear effects in internal resistance at low states of charge (SoC).
To use this calculator:
- Enter the load current (I1) and discharge time (t1) for the first event.
- Enter the load current (I2) and discharge time (t2) for the second event.
- Enter the discharge rates (Rc1, Rc2) as fractions of the nominal capacity.
- Select the battery chemistry from the dropdown menu. Different chemistries have different base and enhanced Peukert exponents (k_base, k_enhanced).
- Enter the current correction factor (CI) to adjust for experimental discrepancies. Default is 0.1 (10%).
- Enter the SoC threshold (%) for non-linear effects. Default is 40%.
- Click "Calculate" to determine the total required battery capacity.
The formula used to calculate the battery capacity is:
C = C1 + C2
Where:
- C1: Capacity consumed during the first event, calculated as
I1 * t1 * min(Rc1, 1.2)^(1-k1) * (1 + CI)
. - C2: Capacity consumed during the second event, calculated as
I2 * t2 * min(Rc2, 1.2)^(1-k2) * (1 + CI)
. - k1, k2: Peukert exponents (base or enhanced, depending on SoC).
- CI: Current correction factor (default = 0.1 or 10%).
- SoC Threshold: State of charge (%) below which non-linear effects occur.
Note: Rc is clamped at 1.2C for discharge rates above 1.2C. The Peukert exponent switches to an enhanced value below the SoC threshold to account for increased internal resistance.
Viewed: 1599