IEEE 1584-20187 min read

Arc Flash and Clearing Time: 50 ms, 300 ms and 1 s at the Same Switchboard

Part 2 of the arc flash series. Incident energy is proportional to arc duration. The same 30 kA fault gives 1.6, 9.9 or 32.9 cal/cm² depending only on how fast the protection clears it.

Scenario

Equipment415 V LV switchgear: gap 32 mm, enclosure 508 × 508 × 508 mm, working distance 610 mm
Bolted fault current30 kA (arcing current 19.9 kA, VCB)
Clearing times compared50 ms (instantaneous), 300 ms (short-time delay), 1,000 ms (IDMT at low current)

Step-by-step calculation

Step 1: Energy is linear in time

For a given arcing current and distance, doubling the arc time doubles the energy.

E ∝ I_arc^x × t / D^y

Step 2: Results

Clearing timeE (cal/cm²)Boundary (mm)Indicative PPE
50 ms1.64742Category 1
300 ms9.872,278Category 3
1,000 ms32.94,840Category 4

Step 3: Where long clearing times come from

Short-time delays added for selectivity (often 0.3–0.5 s), upstream relays protecting LV boards from the HV side, and arcing currents falling below an instantaneous setting (see Part 4).

Result summary

CheckRequirementActualStatus
50 ms≤ 8 cal/cm²1.64 cal/cm²✓ PASS
300 ms≤ 8 cal/cm²9.87 cal/cm²✗ FAIL
1,000 ms≤ 40 cal/cm²32.9 cal/cm²✓ PASS
Reducing the clearing time from 1 s to 50 ms reduces the incident energy from 32.9 to 1.64 cal/cm² — a factor of 20. Clearing time is the most powerful lever in arc flash mitigation.

Key insight: Selectivity and arc flash pull in opposite directions: every time delay added for coordination adds energy. Arc-flash relays, zone interlocking and maintenance switches resolve the conflict.

Try it with your own numbers

Every input in this example is editable in the live calculator — no signup needed.

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Frequently asked questions

Does the boundary also scale linearly?

No. The boundary grows more slowly than the energy, because energy falls off with distance raised to a power.

Is there a maximum arc time?

IEEE 1584-2018 notes that 2 s is a reasonable maximum when a person can move away from the arc; the calculator uses this as a cap.

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