Battery Impedance Spectroscopy Calculator
Reduce matched measured battery AC voltage/current spectra to signed complex Z and Nyquist −Im(Z), not equivalent-circuit fitting or SOH inference; same amplitude convention and linear stationary perturbation applicability caller supplied.
Description
Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference.
Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference. Nyquist uses negative imaginary impedance.1
Enter aligned positive amplitudes/strictly increasing positive frequencies with at least two points and signed voltage-minus-current phase within ±180 degrees. Return real, imaginary, negative imaginary and magnitude arrays.
When to use Battery Impedance Spectroscopy Calculator
Use Battery Impedance Spectroscopy Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No equivalent-circuit fit, state-of-health inference or correction for unmatched amplitude conventions is performed.
Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
How to use Battery Impedance Spectroscopy Calculator and understand its results
- Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
- Enter frequenciesHz, voltageAmplitudeV, currentAmplitudeA, voltageMinusCurrentPhasesDegrees using the field table and calculation rules, then run the tool.
- Read impedanceRealOhms, impedanceImaginaryOhms, nyquistNegativeImaginaryOhms, impedanceMagnitudesOhms. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| frequenciesHz | Frequencies hz | list of number | Required |
| voltageAmplitudeV | Voltage amplitude v | list of number | Required |
| currentAmplitudeA | Current amplitude a | list of number | Required |
| voltageMinusCurrentPhasesDegrees | Voltage minus current phases degrees | list of number | Required |
Enter aligned positive amplitudes/strictly increasing positive frequencies with at least two points and signed voltage-minus-current phase within ±180 degrees. Return real, imaginary, negative imaginary and magnitude arrays.
magnitude=V/I; real=mag cosφ; imaginary=mag sinφ Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| impedanceRealOhms | Impedance real ohms | list of number |
| impedanceImaginaryOhms | Impedance imaginary ohms | list of number |
| nyquistNegativeImaginaryOhms | Nyquist negative imaginary ohms | list of number |
| impedanceMagnitudesOhms | Impedance magnitudes ohms | list of number |
{
"input": {
"frequenciesHz": [
1,
2
],
"voltageAmplitudeV": [
1,
1
],
"currentAmplitudeA": [
0.1,
0.2
],
"voltageMinusCurrentPhasesDegrees": [
0,
-90
]
},
"output": {
"impedanceRealOhms": [
10,
3.061616997868383e-16
],
"impedanceImaginaryOhms": [
0,
-5
],
"nyquistNegativeImaginaryOhms": [
0,
5
],
"impedanceMagnitudesOhms": [
10,
5
]
}
}Limitations and assumptions
No equivalent-circuit fit, state-of-health inference or correction for unmatched amplitude conventions is performed.
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 Ferrite Core Impedance At Frequency Calculator: Ferrite impedance has resistive and signed reactive components. Log-frequency interpolation preserves a possible reactance sign change. For a complementary task, use Battery Calendar Aging Calculator: Storage-only capacity observations support a calendar-aging curve under matched conditions. Loss equals one minus remaining capacity fraction.
References
Similar or alternative tools
- Ferrite Core Impedance At Frequency Calculator
Ferrite impedance has resistive and signed reactive components. Log-frequency interpolation preserves a possible reactance sign change.
- Battery Calendar Aging Calculator
Storage-only capacity observations support a calendar-aging curve under matched conditions. Loss equals one minus remaining capacity fraction.