DC Arc Lab

DC ARC FLASH · 3-D MHD SIMULATION MODEL

DC Arc Flash Calculator

An interactive implementation of the arc model derived from 3-D magnetohydrodynamic simulation.

3-D MHD simulation of a DC arc — temperature isosurfaces.

Interactive calculator

Fault conditions

Published test cases

Load a case from the paper and reproduce its published result.

V
kA
s

Result · Rau–Lee model

Incident energy at working distance
Arc-flash boundarydistance to 1.2 cal/cm²
Arc energy
Arc current
Arc voltage
Arc power
Arc resistance
Validation against legacy DC arc models How the Rau–Lee model compares with three historical models for the same fault.
Model Arc current Arc voltage Arc power

Characteristic curves

Arc voltage vs arc current

Rau–Lee V–I at several gaps; marker = your operating point.

Arc voltage vs gap

How arc voltage grows with electrode gap.

Incident energy vs working distance

Shaded bands = PPE thresholds. Marker = your working distance.

How it works

A nonlinear arc in a DC circuit

The arc behaves as a nonlinear resistance in series with the source.

The Rau–Lee relations
Varc = (13.11 + 0.287 L1.238) Iarc0.154
Rarc = Varc / Iarc
Parc = Iarc · Varc
It = 10 + 0.2 L  (transition current)

The calculator solves this implicit equation numerically for the arc current.

Valid for arc current above the transition current.

DC equivalent circuit
Vs Rs Rarc Iarc
Vs = Iarc·Rs + Varc(Iarc, L)

The simulation

3-D magnetohydrodynamic arc

DC arc evolution — temperature isosurfaces.

The model is grounded in a full 3-D MHD simulation coupling Navier–Stokes with Maxwell's equations.

The paper

“A new DC arc model based on 3-D DC arc simulation, capable of providing comparable results to available lab testing.”

DC Arc Model Based on 3-D DC Arc Simulation

Shiuan-Hau Rau and Wei-Jen Lee

IEEE Transactions on Industry Applications, vol. 52, no. 6, pp. 5255–5261, 2016.

DOI10.1109/TIA.2016.2587760
View on IEEE Xplore