Battery Calendar Aging Calculator

Read observed matched storage-only capacity-aging curve within age range; no invented chemistry/calendar square-root law, extrapolated life or separating cycling losses without independent evidence.

Description

Storage-only capacity observations support a calendar-aging curve under matched conditions.

Storage-only capacity observations support a calendar-aging curve under matched conditions. Loss equals one minus remaining capacity fraction.1

Enter nonnegative strictly increasing ages and aligned nonincreasing fractions 0–1 with at least two points, plus a nonnegative in-range age query. Return interpolated remaining and loss fractions.

When to use Battery Calendar Aging Calculator

Use Battery Calendar Aging Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No chemistry-specific law, extrapolated lifetime or separation of cycling loss without evidence is supplied.

Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.

How to use Battery Calendar Aging Calculator and understand its results

  1. Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
  2. Enter storageAgeYears, observedRemainingCapacityFractions, queryStorageAgeYears using the field table and calculation rules, then run the tool.
  3. Read interpolatedStorageCapacityFraction, observedCalendarCapacityLossFraction. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
storageAgeYearsStorage age yearslist of numberRequired
observedRemainingCapacityFractionsObserved remaining capacity fractionslist of numberRequired
queryStorageAgeYearsQuery storage age yearsnumberRequired

Enter nonnegative strictly increasing ages and aligned nonincreasing fractions 0–1 with at least two points, plus a nonnegative in-range age query. Return interpolated remaining and loss fractions.

remaining=linearInterpolation(age,capacity,query); loss=1−remaining

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
interpolatedStorageCapacityFractionInterpolated storage capacity fractionnumber
observedCalendarCapacityLossFractionObserved calendar capacity loss fractionnumber
json
{
  "input": {
    "storageAgeYears": [
      0,
      1,
      4
    ],
    "observedRemainingCapacityFractions": [
      1,
      0.9,
      0.8
    ],
    "queryStorageAgeYears": 2.5
  },
  "output": {
    "interpolatedStorageCapacityFraction": 0.8500000000000001,
    "observedCalendarCapacityLossFraction": 0.1499999999999999
  }
}

Limitations and assumptions

No chemistry-specific law, extrapolated lifetime or separation of cycling loss without evidence is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Battery Impedance Spectroscopy Calculator: Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference. Nyquist uses negative imaginary impedance. For a complementary task, use Supercapacitor Esr Vs Temperature Calculator: Supercapacitor ESR depends on temperature and matched measurement conditions. A calibration curve is preferable to an assumed universal coefficient.

References

  1. Battery Calendar Aging Calculator — tool.io

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