Supercapacitor Esr Vs Temperature Calculator
Interpolate actual supercapacitor ESR-versus-temperature calibration at matched frequency/SOC and independent reference; not a generic linear tempco or universal cold ESR.
Description
Supercapacitor ESR depends on temperature and matched measurement conditions.
Supercapacitor ESR depends on temperature and matched measurement conditions. A calibration curve is preferable to an assumed universal coefficient.1
Enter aligned positive ESR/finite temperature observations with at least two strictly increasing temperatures and both queries in range. Return ESR and reference ratio.
When to use Supercapacitor Esr Vs Temperature Calculator
Use Supercapacitor Esr Vs Temperature Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No frequency/SOC correction, cold-temperature law or extrapolation 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 Supercapacitor Esr Vs Temperature 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 measuredTemperaturesC, matchedEsrOhms, queryTemperatureC, referenceTemperatureC using the field table and calculation rules, then run the tool.
- Read interpolatedEsrOhms, esrToReferenceRatio. 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 |
|---|---|---|---|
| measuredTemperaturesC | Measured temperatures c | list of number | Required |
| matchedEsrOhms | Matched esr ohms | list of number | Required |
| queryTemperatureC | Query temperature c | number | Required |
| referenceTemperatureC | Reference temperature c | number | Required |
Enter aligned positive ESR/finite temperature observations with at least two strictly increasing temperatures and both queries in range. Return ESR and reference ratio.
ESR=query linear interpolation; ratio=ESR(query)/ESR(reference) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedEsrOhms | Interpolated esr ohms | number |
| esrToReferenceRatio | Esr to reference ratio | number |
{
"input": {
"measuredTemperaturesC": [
0,
20,
40
],
"matchedEsrOhms": [
0.3,
0.2,
0.1
],
"queryTemperatureC": 10,
"referenceTemperatureC": 20
},
"output": {
"interpolatedEsrOhms": 0.25,
"esrToReferenceRatio": 1.25
}
}Limitations and assumptions
No frequency/SOC correction, cold-temperature law or extrapolation 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 Supercapacitor Capacitance Vs Voltage Calculator: Voltage-dependent differential capacitance integrates to delivered charge. It is not a constant-capacitance energy calculation. For a complementary task, use Ferrite Core Impedance At Frequency Calculator: Ferrite impedance has resistive and signed reactive components. Log-frequency interpolation preserves a possible reactance sign change.
References
Similar or alternative tools
- Supercapacitor Capacitance Vs Voltage Calculator
Voltage-dependent differential capacitance integrates to delivered charge. It is not a constant-capacitance energy calculation.
- Ferrite Core Impedance At Frequency Calculator
Ferrite impedance has resistive and signed reactive components. Log-frequency interpolation preserves a possible reactance sign change.