Battery knowledge · State estimation

OCV–SOC curve

The characteristic relation between a cell’s open-circuit voltage and its state of charge, measured once at low current and stored in the BMS. A steep curve, as for NMC, makes SOC easy to read from voltage; LFP’s flat curve does not. [1]

Example

Voltage under load

5 A through 20 mΩ gives 0.1 V ohmic drop.

Chosen OCV curve; no chemistry calibration, hysteresis or voltage cutoff.

Explore the graph

Discharge current creates an ohmic drop below open-circuit voltage.

Illustrative OCV and loaded voltage
Illustrative OCV and loaded voltageSOC (%) versus Voltage (V). Open circuit; Under load. Interpretation follows the graphs.1.802.42253.05503.67754.3100SOC (%)Voltage (V)
Open circuitUnder load (dashed)

5 A through 20 mΩ gives 0.1 V ohmic drop.

V_terminal = OCV − I_discharge R

Illustrative model. Chosen OCV curve; no chemistry calibration, hysteresis or voltage cutoff.

Use in Lemonergy

Lemonergy Studio blocks

Connect SOC and voltage

The battery integrates charge and combines OCV with resistance.

Blocks to use

  1. Battery with SOC-dependent OCV

    Stores charge and supplies terminal voltage

    Inputs & settings
    • capacityAh
    • initialSoc
    • emptyVoltageV / fullVoltageV
    • resistanceOhm
    • Electrical ports p and n
  2. Regulated CC/CV charger

    Regulates current and voltage

    Inputs & settings
    • currentA
    • voltageV
    • cutoffCurrentA / cutoffHoldS
    • Electrical ports p and n
  3. Electrical reference

    Sets zero potential

    Inputs & settings
    • Connect p to reference net

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

  1. Inspect capacity, initial SOC and OCV endpoints.
  2. Compare OCV with terminal voltage.

Example. OCV endpoints of 300 and 420 V give 360 V at 50% SOC. Charging at 10 A through 0.08 Ω adds 0.8 V.

Observe. At unity coulombic efficiency, 10 A for 1 h adds ten percentage points to 100 Ah.

Internal model SOC is not an estimate of an unknown physical battery. OCV is linear and resistance fixed.

Open the Studio example →

References & further reading

Technical references

  1. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 2. Modeling and identification

    Gregory L. Plett · Journal of Power Sources · 2004

    Technical reference · Battery charge balance, open-circuit voltage, ohmic loss, polarization dynamics and model identification; parameters require cell-specific data.

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. Extended Kalman filtering for battery management systems of LiPB-based HEV battery packs: Part 3. State and parameter estimation

    Gregory L. Plett · Journal of Power Sources · 2004

    Topic background · Model-based battery state-of-charge and parameter estimation with extended Kalman filtering, including uncertainty and model dependence.