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Intermediate Arc-Flash Boundary Equations and Calculator for Arcing Current per IEEE 1584-2018

Electrical and Electronics Design and Engineering

Intermediate Arc-Flash Boundary Equations and Calculator for Arcing Current per IEEE 1584-2018

The arc flash boundary (AFB) is the minimum 'safe' distance from exposed energized conductors or circuit parts that has a potential for an arc fault.

Related:

Arc Flash Hazard Calculations Procedure and Considerations For Medium Voltage System

 Equation 1 Open AFB600 Calculator (Pop-up Window) Premium Membership Required Equation 2 Open AFB2700 Calculator (Pop-up Window) Premium Membership Required Equation 3 Open AFB14300 Calculator (Pop-up Window) Premium Membership Required Equation 4 Open AFB≤600 Calculator (Pop-up Window) Premium Membership Required

Where:

AFB600 = arc-flash boundary for Voc = 600 V (mm)
AFB2700 = arc-flash boundary for Voc = 2700 V (mm)
AFB14300 = arc-flash boundary for Voc = 14 300 V (mm)
AFB≤600 = arc-flash boundary for Voc ≤ 600 V (mm)
G = gap between electrodes (mm)
Iarc_600 = rms arcing current for 600 V (kA)
Iarc_2700 = rms arcing current for 2700 V (kA)
Iarc_14300 = rms arcing current for 14300 V (kA)
Iarc = rms arcing current for Voc ≤ 600 V [obtained using "Final Arc Current Equations and Calculator"] (kA)
Ibf = bolted fault current for three-phase faults (symmetrical rms) (kA)
CF = correction factor for enclosure size (CF = 1 for VOA and HOA configurations)
T = arc duration (ms)
lg = log10
k1 to k13 from table given below

Table A Coefficients (AFB600 and AFB≤600 )

 600 V k1 k2 k3 k4 k5 k6 k7 k8 k9 k10 k11 k12 k13 VCB 0.753364 0.566 1.752636 0 0 -4.783E-09 0.000001962 -0.000229 0.003141 1.092 0 -1.598 0.957 VCBB 3.068459 0.26 -0.098107 0 0 -5.767E-09 0.000002524 -0.00034 0.01187 1.013 -0.06 -1.809 1.19 HCB 4.073745 0.344 -0.370259 0 0 -5.382E-09 0.000002316 -0.000302 0.0091 0.9725 0 -2.03 1.036 VOA 0.679294 0.746 1.222636 0 0 -4.783E-09 0.000001962 -0.000229 0.003141 1.092 0 -1.598 0.997 HOA 3.470417 0.465 -0.261863 0 0 -3.895E-09 0.000001641 -0.000197 0.002615 1.1 0 -1.99 1.04

Table B Coefficients AFB2700

 2700 V k1 k2 k3 k4 k5 k6 k7 k8 k9 k10 k11 k12 k13 VCB 2.40021 0.165 0.354202 -1.557E-12 4.556E-10 -4.186E-08 8.346E-07 5.482E-05 -0.003191 0.9729 0 -1.569 0.9778 VCBB 3.870592 0.185 -0.736618 0 -9.204E-11 2.901E-08 -3.262E-06 0.0001569 -0.004003 0.9825 0 -1.742 1.09 HCB 3.486391 0.177 -0.193101 0 0 4.859E-10 -1.814E-07 -9.128E-06 -0.0007 0.9881 0.027 -1.723 1.055 VOA 3.880724 0.105 -1.906033 -1.557E-12 4.556E-10 -4.186E-08 8.346E-07 5.482E-05 -0.003191 0.9729 0 -1.515 1.115 HOA 3.616266 0.149 -0.761561 0 0 7.859E-10 -1.914E-07 -9.128E-06 -0.0007 0.9981 0 -1.639 1.078

Table C Coefficients AFB14300

 14300 V k1 k2 k3 k4 k5 k6 k7 k8 k9 k10 k11 k12 k13 VCB 3.825917 0.11 -0.999749 -1.557E-12 4.556E-10 -4.186E-08 8.346E-07 5.482E-05 -0.003191 0.9729 0 -1.568 0.99 VCBB 3.644309 0.215 -0.585522 0 -9.204E-11 2.901E-08 -3.262E-06 0.0001569 -0.004003 0.9825 0 -1.677 1.06 HCB 3.044516 0.125 0.245106 0 -5.043E-11 2.233E-08 -3.046E-06 0.000116 -0.001145 0.9839 0 -1.655 1.084 VOA 3.405454 0.12 -0.93245 -1.557E-12 4.556E-10 -4.186E-08 8.346E-07 5.482E-05 -0.003191 0.9729 0 -1.534 0.979 HOA 2.04049 0.177 1.005092 0 0 7.859E-10 -1.914E-07 -9.128E-06 -0.0007 0.9981 -0.05 -1.633 1.151

VCB: Vertical conductors/electrodes inside a metal box/enclosure
VCBB: Vertical conductors/electrodes terminated in an insulating barrier inside a metal box/enclosure
HCB: Horizontal conductors/electrodes inside a metal box/enclosure
VOA: Vertical conductors/electrodes in open air
HOA: Horizontal conductors/electrodes in open air

Reference:

IEEE 1584-2018

Verify results and send feedback if a discrepancy is found.