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About

Estimating how long a battery will last is rarely as simple as dividing capacity by load. As discharge rate increases, the effective capacity of a lead-acid battery decreases - a phenomenon known as the Peukert Effect. This calculator provides a more realistic runtime estimation by factoring in the battery's chemistry and discharge rate.

Accurate battery sizing is critical for off-grid solar systems, UPS backups, and electric vehicles. Underestimating the load can lead to premature shutdown, while failing to account for Depth of Discharge (DoD) limits can permanently damage battery cells. This tool helps engineers and hobbyists predict safe operational windows.

battery peukert capacity electronics power runtime

Formulas

The modified Peukert's formula determines time t (hours) based on rated capacity C (Amp-hours), load current I (Amps), and the Peukert constant k:

t = H ร— (CI ร— H)k

Where H is the rated discharge time (usually 20 hours for lead-acid). For simple approximations (or Lithium where k ≈ 1), the basic formula is used:

t = C ร— DoDI

Reference Data

ChemistryPeukert Constant (k)Typical DoD LimitApplication
AGM Lead Acid1.05 - 1.1550%UPS, Solar Backup
Flooded Lead Acid1.20 - 1.4050%Golf Carts, Marine
Gel Lead Acid1.10 - 1.2550%Deep Cycle Solar
Lithium (LiFePO4)1.01 - 1.0580-90%EVs, Modern Solar
NiMH1.2080%Consumer Electronics

Frequently Asked Questions

It is a dimensionless number that represents internal resistance losses during discharge. A perfect battery has a k of 1.0. Lead-acid batteries typically range from 1.1 to 1.3. The higher the number, the more capacity you "lose" at high discharge rates.
Simple division assumes linear discharge. In reality, drawing 100A from a 100Ah battery will drain it in much less than 1 hour because energy is lost as heat. This calculator accounts for that efficiency loss.
DoD refers to the percentage of the battery that has been used. Most manufacturers recommend not draining lead-acid batteries below 50% to prevent sulfation and extend lifespan. Lithium batteries can often be safely drained to 80% or 90%.