Arc Flash Calculator

Calculation of arc flash incident energy and protection boundary in accordance with IEE Std. 1584 'IEEE Guide for Performing Arc-Flash Hazard Calculations'.

System Details 

Equipment Details

Arc Flash


Tip: registered users can save calculations.

Calculate

Symbols

V  -    system voltage (kV)
Ibf    -    bolted three phase fault current (kA)
Ia   -    arcing current (kA)
E   -    incident energy (J/cm2)
EB  - incident energy at boundary distance (J/cm2)
En  - normalized incident energy (J/cm2)\
t    -    arcing time (s)
D   - distance from arc to person (mm)
CB  - distance of boundary from arc point (mm)


Notes:

  1. EB can be set at 5.0 J/cm2 for bare skin or at the rating of any proposed PPE.
  2. The limit of 5.0 J/cm2 is that at which a person is likely to receive second degree burns.
  3. To convert J/cm2 to cal/cm2 multiply by 0.239

Gap and distance factors

Voltage (kV)

Equipment Type
Typical gap
between
conductors (mm)
Distance 
factor,
 0.208 - 1

Open Air  10-40  2.000
Switchgear  32  1.473
MCC and Panels  25  1.641
Cable  13  2.000
 >1 - 5 Open Air  102  2.000
Switchgear  13-102  0.973
Cables  13  2.000
 >5 -15 Open Air  13-153  2.000
Switchgear  153  0.973
Cables  13  2.000

For a more detailed explanation of the calculation, please see: Arc Flash Calculations Post

Formulae

Arcing current

System voltages under 1000 V:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»a«/mi»«/msub»«mo»=«/mo»«mi»K«/mi»«mo»$nbsp;«/mo»«mo»+«/mo»«mn»0«/mn»«mo».«/mo»«mn»662«/mn»«mo»$nbsp;«/mo»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»bf«/mi»«/msub»«/mtd»«/mtr»«mtr»«mtd»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»+«/mo»«mn»0«/mn»«mo».«/mo»«mn»0966«/mn»«mi»V«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»+«/mo»«mn»0«/mn»«mo».«/mo»«mn»000526«/mn»«mi»G«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»+«/mo»«mn»0«/mn»«mo».«/mo»«mn»5588«/mn»«mi»V«/mi»«mo»$nbsp;«/mo»«msub»«mi»Iog«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»bf«/mi»«/msub»«/mtd»«/mtr»«mtr»«mtd»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»-«/mo»«mn»0«/mn»«mo».«/mo»«mn»00304«/mn»«mi»G«/mi»«mo»$nbsp;«/mo»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»bf«/mi»«/msub»«/mtd»«/mtr»«/mtable»«/math»

Where:
K = -0.153 for open configurations and -0.097 for box configurations

System voltages above 1000 V:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»a«/mi»«/msub»«mo»=«/mo»«mn»0«/mn»«mo».«/mo»«mn»00402«/mn»«mo»+«/mo»«mn»0«/mn»«mo».«/mo»«mn»983«/mn»«mo»$nbsp;«/mo»«msub»«mi»Iog«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»bf«/mi»«/msub»«/math»

Arcing current is then given by:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»I«/mi»«mi»a«/mi»«/msub»«mo»=«/mo»«msup»«mn»10«/mn»«mrow»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»a«/mi»«/msub»«/mrow»«/msup»«/math»

Incident Energy

Normalized incident energy:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»E«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»K«/mi»«mn»1«/mn»«/msub»«mo»+«/mo»«msub»«mi»K«/mi»«mn»2«/mn»«/msub»«mo»+«/mo»«mn»1«/mn»«mo».«/mo»«mn»081«/mn»«mo»$nbsp;«/mo»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»I«/mi»«mi»a«/mi»«/msub»«/mtd»«/mtr»«mtr»«mtd»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»$nbsp;«/mo»«mo»+«/mo»«mn»0«/mn»«mo».«/mo»«mn»001«/mn»«mi»G«/mi»«/mtd»«/mtr»«/mtable»«/math» 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»E«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msup»«mn»10«/mn»«mrow»«msub»«mi»log«/mi»«mn»10«/mn»«/msub»«msub»«mi»E«/mi»«mi»n«/mi»«/msub»«/mrow»«/msup»«/math»

Where:
K1 = -0.792 for open configurations and -0.555 for boxed configurations
K2 = 0 for unground or high resistance ground systems and -0.113 for grounded systems
G  = the conductor gap (see table below)

Incident energy :

- for voltages less than 15 kV

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mo»=«/mo»«mn»4«/mn»«mo».«/mo»«mn»184«/mn»«msub»«mi»C«/mi»«mi»f«/mi»«/msub»«msub»«mi»E«/mi»«mi»n«/mi»«/msub»«mfenced»«mfrac»«mi»t«/mi»«mrow»«mn»0«/mn»«mo».«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mfenced»«mfenced»«mfrac»«msup»«mn»610«/mn»«mi»x«/mi»«/msup»«msup»«mi»D«/mi»«mi»x«/mi»«/msup»«/mfrac»«/mfenced»«/math»

Where:
Cf    = 1.0 for voltages greater than 1000 V and 1.0 for voltages less than 1000 V
x    = is a distance exponent from the table below

- for voltages greater than 15 kV

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mo»=«/mo»«mn»2«/mn»«mo».«/mo»«mn»142«/mn»«mo»$#215;«/mo»«msup»«mn»10«/mn»«mn»6«/mn»«/msup»«msub»«mi»V«/mi»«mo»$nbsp;«/mo»«/msub»«msub»«mi»I«/mi»«mi»bf«/mi»«/msub»«mfenced»«mfrac»«mi»t«/mi»«msup»«mi»D«/mi»«mn»2«/mn»«/msup»«/mfrac»«/mfenced»«/math» 

Flash Protection Boundary

- for voltages less than 15 kV

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»D«/mi»«mi»B«/mi»«/msub»«mo»=«/mo»«msup»«mfenced close=¨]¨ open=¨[¨»«mrow»«mn»4«/mn»«mo».«/mo»«mn»184«/mn»«msub»«mi»C«/mi»«mi»f«/mi»«/msub»«msub»«mi»E«/mi»«mi»n«/mi»«/msub»«mfenced»«mfrac»«mi»t«/mi»«mrow»«mn»0«/mn»«mo».«/mo»«mn»2«/mn»«/mrow»«/mfrac»«/mfenced»«mfenced»«mfrac»«msup»«mn»610«/mn»«mi»x«/mi»«/msup»«msub»«mi»E«/mi»«mi»B«/mi»«/msub»«/mfrac»«/mfenced»«/mrow»«/mfenced»«mfrac»«mn»1«/mn»«mi»x«/mi»«/mfrac»«/msup»«/math»

- for voltages greater than 15 kV

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»D«/mi»«mi»B«/mi»«/msub»«mo»=«/mo»«msqrt»«mrow»«mn»2«/mn»«mo».«/mo»«mn»142«/mn»«mo»$#215;«/mo»«msup»«mn»10«/mn»«mn»6«/mn»«/msup»«mi»V«/mi»«mo»$nbsp;«/mo»«msub»«mi»I«/mi»«mi»bf«/mi»«/msub»«mfenced»«mfrac»«mi»t«/mi»«msub»«mi»E«/mi»«mi»B«/mi»«/msub»«/mfrac»«/mfenced»«/mrow»«/msqrt»«/math»

Where:
Cf = 1.0 for voltages greater than 1000 V and 1.0 for voltages less than 1000 V
x = is a distance exponent from the table above