Battery knowledge · State estimation

Incremental capacity analysis

The inverse of differential voltage analysis: the derivative of charge with respect to voltage, plotted against voltage. Plateaus in the voltage curve become peaks whose height and position track aging, and it can be run on data a BMS already records.

Abbreviation
ICA
Also called
dQ/dV
Relationship
dQ/dV vs V

Example

Read capacity per voltage interval

If 0.10 Ah is transferred while voltage rises by 0.020 V, the local incremental capacity is about 5 Ah/V. Numerical differentiation can amplify noise, so a peak must be assessed with the measurement conditions.

Explore the graph

Differentiate an authored monotonic voltage curve to see the information in DVA and ICA.

Authored voltage curve
Authored voltage curveNormalized charge q = Q/Q_nominal versus Voltage (V). Voltage. Interpretation follows the graphs.303.250.253.50.53.750.7541Normalized charge q =Q/Q_nominalVoltage (V)
Voltage
Differential voltage
Differential voltageNormalized charge q versus dV/dq (V per charge fraction). DVA. Interpretation follows the graphs.000.2750.250.550.50.8250.751.11Normalized charge qdV/dq (V per chargefraction)
DVA
Incremental capacity
Incremental capacityVoltage (V) versus dq/dV (charge fraction/V). ICA. Interpretation follows the graphs.0313.2523.533.7544Voltage (V)dq/dV (charge fraction/V)
ICA

At the plateau center, dV/dq = 0.44 V per charge fraction; dq/dV = 2.273 charge fraction/V.

DVA = dV/dq; ICA = dq/dV = 1 / (dV/dq), q = Q/Q_nominal

Illustrative model. Normalized authored curve, not a measured cell fingerprint. Peak changes alone do not uniquely identify a degradation mechanism.

Use in Lemonergy

Distinguish internal states from noisy measurement estimates.

This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

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.

  2. 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

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