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Battery Runtime Calculator with Peukert Effect and DoD

This calculator estimates the theoretical runtime of a battery under a given load. By entering battery configuration and load parameters, you can determine the expected duration of power supply. Parameter Description Connection Select the battery connection type: Series : Voltages add up, capacity r
V
Ah
%
h

Current calculation formulas

t = H * (C / (I * H))ᵏ

t = Time (Hours)

H = Rated discharge time = 20 (Hours)

C = Capacity (Ah)

I = Load (A)

k = Peukert constant (1 - 1.5)

Description

This calculator estimates the theoretical runtime of a battery under a given load. By entering battery configuration and load parameters, you can determine the expected duration of power supply.

Parameter Description

Connection

Select the battery connection type:

Series: Voltages add up, capacity remains unchanged

Parallel: Voltage remains constant, capacities add up

Number of Batteries

Total number of batteries in the system. The total voltage and capacity are calculated based on the connection type.

Voltage (V)

Nominal voltage of a single battery, in volts (V).

Capacity (Ah)

Rated capacity of a single battery, in ampere-hours (Ah).

Load (W or A)

Power consumption of the connected device. Two input options:

Power (W): In watts, suitable for most appliances

Current (A): In amperes, when operating current is known

Peukert Constant (k)

A coefficient used to correct for capacity loss at higher discharge rates. Typical values by battery type:

Lead-Acid: 1.1 – 1.3

Gel: 1.1 – 1.25

Flooded: 1.2 – 1.5

Lithium-Ion: 1.0 – 1.28

An ideal battery has a Peukert constant of 1.0. Real batteries have values greater than 1.0, which typically increase with age.

Depth of Discharge (DoD)

The percentage of battery capacity that has been discharged relative to full capacity.DoD = 100% - SoC (State of Charge).

Can be expressed in percent (%) or ampere-hours (Ah). In some cases, actual capacity exceeds rated capacity, so DoD may exceed 100%.

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Frequently asked questions

Calculator outputs are theoretical estimates. Actual runtime is affected by battery aging, ambient temperature, transient peak loads and cable losses. Incorrect settings for Peukert constant and Depth of Discharge also create deviation between calculated and real discharge duration.

Depth of Discharge (DoD) is the percentage of total rated capacity drawn from the battery. Higher DoD gives longer calculated runtime yet accelerates cycle aging. Each battery chemistry has its recommended maximum DoD; avoid continuous deep discharge in practical operation.

Use power (W) mode if you know device power consumption. Use current (A) mode when operating current is measured directly. Both inputs should yield consistent results. Ensure input values match the total battery‑pack voltage; mismatched parameters produce incorrect runtime estimates.

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