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Plasma Arc Equation

Physical Arc Metrics

* Note: This IEEE 1584 equation block is strictly bounded for low-voltage systems between 208V and 1,000V.
⚠️ ARCING PARADOX (Lethal): Program your absolute trip times using this Arcing Current (11.85 kA), NOT the higher infinite Bolted prediction. If your breaker curves are set too slow to catch this lower plasma phase, the thermal fireball will violently erupt and incinerate all personnel within the blast boundary zone before the copper finally trips the main switch.

Predicted Arcing Current

11.85 kA
Sustained plasma combustion amperage.

IEEE 1584 Log Base

Log(Ia) = 1.0739
Absolute base-10 derivation step.
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What is The Physics of IeeeArcFault?

The technical foundation and mathematics behind the IeeeArcFaultCalc tool.

Mathematical Foundation

Arcing Current (I_a) for <1kV Systems
log⁡10(Ia)=K+0.662log⁡10(Ibf)+0.0966V+0.000526G+0.5588Vlog⁡10(Ibf)−0.00304Glog⁡10(Ibf)\log_{10}(I_a) = K + 0.662\log_{10}(I_{bf}) + 0.0966V + 0.000526G + 0.5588V\log_{10}(I_{bf}) - 0.00304G\log_{10}(I_{bf})
IaI_a= Predicted arcing current (kA)
KK= Equipment Configuration Constant (-0.097 or -0.153)
IbfI_{bf}= Bolted fault current (kA)
VV= System voltage (kV)
GG= Conductor gap (mm)

Laws & Principles

  • This section will be populated with domain-specific trade knowledge.
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