I2t and adiabatic withstand in Australian cable protection

How I2t, clearing time, k value and conductor area relate to Australian cable withstand checks.

What I2t Means

I2t describes the energy-related effect of fault current over time. In Australian cable and protective-conductor review, it is used with clearing time, conductor area and a k value source to screen thermal withstand.

The key relationship is:

I2t = I^2 x t.

Adiabatic withstand is compared with:

k2S2 = (k x S)^2.

The check is commonly expressed as I2t <= k2S2. The values must all belong to the same project context: fault-current point, protective device, clearing time, conductor material, insulation basis and k-value source.

Units And Inputs

The units matter. Fault current is often discussed in kA, but the I2t relationship uses amps. One kA is 1000 A. Clearing time is entered in seconds. Conductor area is entered in mm2. The k value must match the conductor material and insulation or thermal basis.

I2t input basis
InputWhat it meansWhy it matters
Fault currentEntered prospective fault current in kA, converted to A for the arithmetic.I2t rises with the square of current.
Clearing timeDevice clearing time or entered assumption in seconds.Energy exposure increases with time.
Conductor areaMetric conductor size in mm2.Withstand capacity changes with area.
k valueSource value for conductor material and insulation basis.The constant must match the conductor and thermal assumptions.
Device let-throughOptional entered A2s value from product data.A device curve or let-through value must be product-sourced.

Worked Unit Check

For a 5.5 kA fault current and 0.1 s clearing time:

I2t = 5500^2 x 0.1 = 3,025,000 A2s.

For a 16 mm2 conductor with k = 115:

k2S2 = (115 x 16)^2 = 3,385,600 A2s.

The entered conductor withstand is above the entered I2t value, with about 360,600 A2s margin. That does not select the conductor or device; it only screens the values entered.

Example I2t check
FieldExample entryReading
Fault-current pointSwitchboard or circuit where PSCC was recorded.The withstand check must use the same fault-current location.
Clearing time0.1 s protective-device clearing time or entered project assumption.I2t changes with time as well as current.
Conductor data16 mm2 conductor, k value 115 from the selected source.Withstand capacity depends on conductor assumptions.
Device dataFuse, MCB, MCCB or other product context.Let-through data and clearing assumptions must match the device.

Let-Through And k Values

Use A2s, kA, seconds and metric conductor sizes consistently. When AS/NZS 3008 context, manufacturer curves, device let-through data or project assumptions control the conductor data, keep those sources close to the calculation.

The k value is not a decorative constant. It depends on conductor material, insulation and temperature basis. The optional device let-through value must come from the actual product data or project source.

When conductor material, insulation context or device data is uncertain, keep the value in review rather than presenting it as a finished withstand decision.

Next checks

  • Use I2t cable withstand when fault current, clearing time and conductor data are ready.
  • Use the fault-current chart to understand nearby protection arithmetic.
  • Use protection terms to keep device wording consistent.

Boundaries

  • This page does not provide a complete k-value table or conductor constants.
  • It does not select protective devices or cable sizes.
  • Product data, current rules context, project conditions and competent engineering review remain controlling inputs.

Questions

Does I2t alone prove a cable is suitable?

No. Cable suitability also depends on current-carrying capacity, voltage drop, installation conditions, protection and project requirements.

Where do k values and conductor constants come from?

Use current project, product, standards-source and manufacturer data for conductor constants and assumptions. This page does not publish a complete k-value table.