Procedure for IEEE 1584 based arc flash calculations.
Normalized incident energy can be found using the equation below:
lg E_{n} = K_{1} + K_{2} + 1.081 * lgI_{a} + 0.0011 * G (1)
E_{n}  incident energy J/cm^{2} normalized for time and distance. The equation above is based on data normalized for a distance from the possible arc point to the person of 610 mm. and an arcing time of 0.2 sec.
K_{1} = 0.792 for open configurations, and is 0.555 for box configurations / enclosed equipment.
K_{2} = 0 for ungrounded and high resistance grounded systems, and equals 0.113 for grounded systems.
G  gap between conductors in millimeters.
I_{a}  predicted three phase arcing current in kA. It is found by using formula 2 a) or b) so the operating time for protective devices can be determined.
For 1000V and lower systems:
lgI_{a} = K + 0.662 * lg I_{bf} + 0.0966 * V + 0.000526 * G + 0.5588 * V * lgI_{bf}  0.00304 * G * lgI_{bf} (2a)
lg  is logarithm base 10 (log_{10}).
I_{a}  arcing current in kA.
E_{n}  normalized incident energy in J/cm2 as calculated by (1).
K  equals 0.153 for open configurations. and 0.097 for box configurations.
I_{bf}  bolted fault current for three phase faults in kA symmetrical rms.
V  system voltage in kV.
G  gap between condactors in millimeters.
Solve
lgI_{a} = 0.00402 + 0.983 * lg I_{bf} (2b)
for applications with a system voltage ranging from 1 up to 15kV.
Incident energy can be found using the equation below:
E = 4.184 * C_{f} * E_{n} * (t / 0.2) * (610^{x}/D^{x}) (3)
E  incident energy exposure in J/cm^{2}.
C_{f}  calculation factor equal to 1.0 for voltages above 1 kV, and 1.5 for voltages below 1 kV.
E_{n}  normalized incident energy in J/cm2 as calculated by (1) above.
t  arcing time in seconds.
D  distance from possible arcing point to the person in millimeters.
x  distance exponent.
For cases where voltage is over 15 kV, or gap is outside the range of the model, the theoretically derived Lee
method can be applied, and incident energy can be determined using the equation below:
E = 2.142 * 10^{6} * V * I_{bf} * (t / D^{2}) (4)
E is incident energy in J/cm^{2}
V is system voltage in kV
t is a arcing time in seconds
D is distance from possible arc point to person in mm.
I_{bf} is bolted fault current
For the IEEE Std 15842002 empirically derived model, arc flash boundary is calculated using the equation below:
D_{B} = [4.184 * C_{f} * E_{n} * (t / 0.2) * (610^{x}/E_{B})]^{1/x} (5)
For the Lee method:
D_{B} = [2.142 * 10^{6} * V * I_{bf} * (t / E_{B})]^{1/2} (6)
D_{B}  distance of the boundary from the arc point in millimeters.
C_{f}  calculation factor equal to 1.0 for voltages above 1 kV, and 1.5 for voltages below 1 kV.
E_{n}  normalized incident energy in J/cm^{2} as calculated by (1).
E_{B}  incident energy in J/cm^{2} at the boundary distance.
I_{bf}  bolted fault current for three phase faults in kA symmetrical rms.
t  arcing time in seconds.
x  distance exponent.
Ibf  bolted fault current
E_{B} is usualy set at 5 J/cm^{2} (1.2 cal/cm^{2} ) for bare skin, or at the rating of proposed personal protection equipment.
Arc Flash Terminology


This is the amount of thermal incident energy to which the worker's face and chest could be exposed at working distance during an electrical arc event. Incident energy is measured in joules per centimeter squared (J/cm^{2}) or calories per centimeter squared (cal/cm^{2}). Minimum reported incident energy is 0.25 cal/cm2 which is the accuracy limit of the test equipment.




A value in cal/cm^2 to determine arc flash boundary (AFB) distance at that Incident Energy. The Incident Energy of 1.2 cal/cm^2 for bare skin is used in solving equation for arc flash boundary in IEEE 1584 Guide for Performing Arc Flash Hazard Calculations. However, the Guide equation for arc flash boundary can be solved with other incident energy levels as well such as the rating of proposed personal protective equipment (PPE). The Incident Energy at Arc Flash Boundary value should be equal or above incident energy to second degree burn for bare skin exposure.




The arc flash boundary is an approach limit at a distance from exposed live parts or enclosed live parts if operation, manipulation, or testing of equipment creates a potential flash hazard, within which a person could receive a second degree burn if an electrical arc flash were to occur. A worker entering the arc flash boundary must be qualified and must be wearing appropriate PPE. The arc flash boundary is required to be calculated by NFPA 70E.




This is the minimum level of Personal Protective Equipment in calories per centimeter squared, as evaluated in IEEE Standard 1584, with the intent to protect the worker from the thermal effects of the arc flash at working distance from the source of the arc.
Min Incident Energy, cal/cm^2 
Max Incident Energy, cal/cm^2 
Hazard Level 
Required Min Rating of PPE, cal/cm^2 
0 
Eb 
0 

Eb + 0.001 
4 
1 
4 
4.001 
8 
2 
8 
8.001 
25 
3 
25 
25.001 
40 
4 
40 
40.001 
and above 
Consult 
Not Available 


Recommended Personal Protective Equipment ( PPE ) 

Hazard Level 
Personal Protective Equipment ( PPE ) 
0 
Untreated natural fiber long sleeve shirt & pants with a fabric weight of at least 4.5 oz/yd^2, safety glasses, ear canal inserts, heavy duty leather gloves. 
1 
Arc rated (AR) shirt and AR pants or AR coverall, AR face shield, AR jacket, safety glasses, hard hat, ear canal inserts, heavy duty leather gloves, leather footwear. 
2 
Arc rated (AR) shirt and AR pants or AR coverall, AR flash suit hood, AR jacket, safety glasses, hard hat, ear canal inserts, heavy duty leather gloves, leather footwear. 
3 
Arc rated (AR) coverall over AR shirt and AR pants, AR flash suit, AR hood, safety glasses, hard hat, ear canal inserts, AR gloves, leather footwear. 
4 
Multilayer arc rated (AR) flash suit over AR coverall over AR shirt and AR pants, AR flash suit hood, safety glasses, hard hat, ear canal inserts, AR gloves, leather work shoes. 




Classes of equipment included in IEEE 1584 and typical bus gaps are shown in table below:
Classes of equipment 
Typical bus gaps, mm 
Open Air 
10  40 
Lowvoltage switchgear 
32 
15kV switchgear 
152 
5kV switchgear 
104 
Lowvoltage MCCs and panelboards 
25 
Cable 
13 




Equipment bus gap in mm. Gaps of 3 to 40 mm were used for low voltage testing to simulate gaps between conductors in low voltage equipment and cables. Gaps 13, 104 and 152 mm. were used in 5 and 15kV equipment testings. For cases where gap is outside the range of the Empirical model, the theoretically derived Lee method can be applied and it is now included in ARCAD's arc flash assessment software. 



Two grounding classes are applied in the IEEE 1584 procedure, as follows:
a) Ungrounded, which included ungrounded, highresistance grounding and lowresistance grounding.
b) Solidly grounded.




Typical working distance is the sum of the distance between the worker standing in front of the equipment, and from the front of the equipment to the potential arc source inside the equipment.
Arcfash protection is always based on the incident energy level on the person's face and body at the working distance, not the incident energy on the hands or arms. The degree of injury in a burn depends on the percentage of a person's skin that is burned. The head and body are a large percentage of total skin surface area and injury to these areas is much more life threatening than burns on the extremities. Typical working distances are shown in table below:
Classes of equipment 
Typical working distance, mm 
Lowvoltage switchgear 
610 
15kV / 5kV switchgear 
910 
Lowvoltage MCCs and panelboards 
455 
Cable 
455 




Use protective device characteristics, which can be found in manufacturer's data. For fuses, the manufacturer's timecurrent curves may include both melting and clearing time. If so, use the clearing time. If they show only the average melt time, add to that time 15%, up to 0.03 seconds, and 10% above 0.03 seconds to determine total clearing time. If the arcing fault current is above the total clearing time at the bottom of the curve (0.01 seconds), use 0.01 seconds for the time.
For circuit breakers with integral trip units, the manufacturer's timecurrent curves include both tripping time and clearing time.
For relay operated circuit breakers, the relay curves show only the relay operating time in the timedelay region. For relays operating in their instantaneous region, allow 16 milliseconds on 60 Hz systems for operation. The circuit breaker opening time must be added. Opening times for particular circuit breakers can be verifed by consulting the manufacturer's literature.




Available 3 phase bolted fault current for the range of 700A to 106kA at the point where work is to be performed is entered into this box in kA. Example: if 42,350 amps are available, enter 42.35 into this box. If 16,000 amps are available, enter 16 into this box. Please consider ARCAD's short circuit calculation software to determine the available fault currents in your power distribution system.




The arcing current depends on the available 3 phase bolted fault current for the range of 700A to 106kA at the point where work is to be performed, configuration, system voltage and gap between conductors. Leave the field blank, the program calculates the value based on the system parameters. The arc duration should be determined based on the predicted arcing current.




System Line to Line Voltage for the range of 208V to 15000V is entered into the box in Volts. For cases where voltage is over 15kV, the theoretically derived Lee method can be applied and it is now included in ARCAD's arc flash assessment software.




For protective devices operating in the steep portion of their timecurrent curves, a small change in current causes a big change in operating time. Incident energy is linear with time, so arc current variation may have a big effect on incident energy. The solution is to make two arc current and energy calculations; one using the calculated expected arc current and one using a reduced arc current that is 15% lower.
ARCAD's arc flash assessment software makes possible both calculations for each case considered. It requires that an operating time be determined for both the expected arc current and the reduced arc current. Incident energy is calculated for both sets of arc currents and operating times and the larger incident energy is taken as the model result. This solution was developed by comparing the results of arc current calculations using the best available arc current equation with actual measured arc current in the test database.

