Battery knowledge · Charging and discharging

Constant-power charging

Charging with a fixed-power stage, so current falls as voltage rises because current equals power divided by voltage. In a CP-CV protocol, a constant-voltage stage follows when the voltage limit is reached. A power rating alone does not establish that a charger implements this sequence. [1]

Abbreviation
CP-CV

Example

See why current falls at constant power

An illustrative 20 W constant-power stage requires 5 A at 4 V and 4 A at 5 V. At the chosen voltage ceiling, the profile changes to CV and power tapers with current.

Interpretation & limits

  • This arithmetic illustrates P = VI; these voltages are not recommendations for a lithium-ion cell.

Explore the graph

See which quantity is held constant, when the phase changes and how charging ends.

Current profile
Current profileRelative elapsed time versus Current (A). Charge current. Interpretation follows the graphs.CPCVStop001.440.252.880.54.310.755.751Relative elapsed timeCurrent (A)
Charge current
Voltage profile
Voltage profileRelative elapsed time versus Cell voltage (V). Cell voltage. Interpretation follows the graphs.CPCVStop303.350.253.70.54.050.754.41Relative elapsed timeCell voltage (V)
Cell voltage
Power: constant phase, then taper
Power: constant phase, then taperRelative elapsed time versus Power (W). Charge power. Interpretation follows the graphs.CPCVStop0050.25100.5150.75201Relative elapsed timePower (W)
Charge power

Power holds at 16.25 W during CP. Current falls as voltage rises (I = P/V). At the example 4.15 V threshold, CV begins: voltage stays fixed while current and power taper.

P = VI; I = P/V

Illustrative model. Positive current charges the cell. Time is normalized; selected thresholds are not cell-specific recommendations. The voltage trace ends at termination; post-stop relaxation is excluded.

Use in Lemonergy

Design protocol or analysis tool

Program constant power

Positive power magnitude and explicit direction define CP.

Equation or tool to use

  1. Charge at constant power

    Programs power

    Inputs & settings
    • mode: cp
    • w / s

This overview identifies the components to use. Follow the example in Lemonergy for their connections and settings.

  1. Select CP and duration.
  2. Inspect current as voltage changes.

Example. 2 kW at 100 V implies 20 A; at 120 V it implies about 16.7 A.

Observe. Current follows I = P/V.

This is CP only, not a combined CP–CV controller. CC and CP cannot share a protocol.

Open Design → Protocol bench →

References & further reading

Technical references

  1. Lithium-ion battery fast charging: A review

    Anna Tomaszewska et al. · eTransportation · 2019

    Technical reference · CC-CV and alternative charging protocols, transport limitations, degradation and thermal implications; results depend on cell and test conditions. Software behavior is documented separately in Lemonergy block references.