Fuse Melting Energy Calculator

Integrate sampled I² with trapezoids and fixed caller element R to observed Joule energy versus supplied melt-energy screen; not constant-current clearing-time inverse, actual melting temperature, arc clearing or protection coordination.

Description

A fixed-resistance fuse energy model integrates squared current over time.

A fixed-resistance fuse energy model integrates squared current over time. Thermal losses and resistance changes need additional models.1

Enter aligned finite currents/nonnegative strictly increasing times with at least two samples, positive fixed resistance and nonnegative energy threshold. Integrate squared samples linearly by trapezoids; return I²t, joules and inclusive threshold flag.

When to use Fuse Melting Energy Calculator

Use Fuse Melting Energy Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No temperature-dependent resistance, heat loss or actual melting/clearing guarantee is modeled.

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

How to use Fuse Melting Energy 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 sampleTimesSeconds, sampleCurrentsA, callerFixedElementResistanceOhms, callerMeltingEnergyJ using the field table and calculation rules, then run the tool.
  3. Read integratedJouleEnergyJ, callerMeltingEnergyExceeded, integratedAmpereSquaredSeconds. 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
sampleTimesSecondsSample times secondslist of numberRequired
sampleCurrentsASample currents alist of numberRequired
callerFixedElementResistanceOhmsCaller fixed element resistance ohmsnumberRequired
callerMeltingEnergyJCaller melting energy jnumberRequired

Enter aligned finite currents/nonnegative strictly increasing times with at least two samples, positive fixed resistance and nonnegative energy threshold. Integrate squared samples linearly by trapezoids; return I²t, joules and inclusive threshold flag.

I²t=trapezoidalIntegral(current²,time); energy=R×I²t

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

Output fieldMeaningValue type
integratedJouleEnergyJIntegrated joule energy jnumber
callerMeltingEnergyExceededCaller melting energy exceededboolean
integratedAmpereSquaredSecondsIntegrated ampere squared secondsnumber
json
{
  "input": {
    "sampleTimesSeconds": [
      0,
      1,
      2
    ],
    "sampleCurrentsA": [
      0,
      2,
      0
    ],
    "callerFixedElementResistanceOhms": 1,
    "callerMeltingEnergyJ": 5
  },
  "output": {
    "integratedJouleEnergyJ": 4,
    "callerMeltingEnergyExceeded": false,
    "integratedAmpereSquaredSeconds": 4
  }
}

Limitations and assumptions

No temperature-dependent resistance, heat loss or actual melting/clearing guarantee is modeled.

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. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

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 Circuit Breaker Trip Time Calculator: A breaker time-current envelope contains lower and upper trip-time evidence. Log-log interpolation is confined to supplied coverage.

References

  1. Fuse Melting Energy Calculator — tool.io

Similar or alternative tools

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies