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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 

Preview: Intermediate Arc-Flash Boundary Equations and Calculator for Arcing Current

Equation 1

AFB600 Calculator

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Equation 2

AFB2700 Calculator

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Equation 3

AFB14300 Calculator

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Equation 4

AFB≤600 Calculator

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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.

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