Battery Cycle Degradation Calculator

Extract actual log capacity/cycle trend rather than forward ageing with invented chemistry coefficients; apparent growth remains signed. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A logarithmic capacity fit summarizes observed battery retention against equivalent cycles.

A logarithmic capacity fit summarizes observed battery retention against equivalent cycles.1

A fitted trend does not prove a universal degradation law or forecast service life automatically. Use Battery Cycle Degradation Calculator to evaluate the supplied inputs under the specific model below.

When to use Battery Cycle Degradation Calculator

Use Battery Cycle Degradation Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.

How to use Battery Cycle Degradation Calculator and understand its results

  1. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
  2. Enter Observed equivalent cycle counts, Observed retained battery capacity fractions using the field table and validation rules below, then run the tool.
  3. Read Fitted log capacity loss per equivalent cycle, Capacity log fit r squared and interpret units, signs, ordering and placeholders as explained below.
  4. If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
Input fieldMeaningValue typeRequirement
observedEquivalentCycleCountsObserved equivalent cycle countsarray of numberRequired; constraints below
observedRetainedBatteryCapacityFractionsObserved retained battery capacity fractionsarray of numberRequired; constraints below

Supply at least two aligned nonnegative equivalent-cycle counts and strictly positive retained-capacity fractions no greater than 1. Counts must have nonzero variance but need not be sorted. Fit ln(capacity) by ordinary least squares against counts and report minus the slope and R². Constant response returns R²=1; increasing capacity can yield a negative loss rate. No lifetime forecast is produced.

ln(capacity) ≈ intercept+slope×cycles; reportedLossPerCycle = −slope

Field order, units and branch conditions follow the implementation explanation above.

Output fieldMeaningValue type
fittedLogCapacityLossPerEquivalentCycleFitted log capacity loss per equivalent cyclenumber
capacityLogFitRSquaredCapacity log fit r squarednumber
json
{
  "input": {
    "observedEquivalentCycleCounts": [
      0,
      1,
      2
    ],
    "observedRetainedBatteryCapacityFractions": [
      1,
      0.9,
      0.81
    ]
  },
  "output": {
    "fittedLogCapacityLossPerEquivalentCycle": 0.10536051565782627,
    "capacityLogFitRSquared": 1
  }
}

Limitations and assumptions

A fitted trend does not prove a universal degradation law or forecast service life automatically. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

Alternative or Complementary methods

Use Charpy to KIC Correlation Calculator for a related task: Charpy-to-fracture-toughness correlations depend on material and calibration scope.

Use Three-Phase Cable Voltage Drop Calculator for a related task: A three-phase voltage-drop approximation combines resistive and reactive contributions.

References

  1. Battery Cycle Degradation Calculator — tool.io

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