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COMPARAÇÃO DE ARCO ELETRICO, Resumos de Engenharia Elétrica

COMPARISON OF ARC FLASH CALCULATION METHODS

Tipologia: Resumos

2021

Compartilhado em 29/01/2026

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COMPARISON OF ARC FLASH CALCULATION METHODS
By Neil Van Geem, PE
General
During recent years the electrical industry has focused attention on the electrical hazard of
arc-flash and the danger of its causing severe burns to electrical workers who are i
n the
vicinity of energized electrical equipment during an arc. Over this time various methods have
been developed to estimate the effects of an electrical arc’s incident energy causing
temperature rise on the human body as a result of the arc and on mitig
ating techniques such
as levels of fire resistant clothing and work location relative to the arc. This paper reports on
the results of a very limited comparison of four methods available for incident energy
calculation. The methods include those developed
and reported with the IEEE Standard
1584, “IEEE Guide for Performing Arc-
Flash Hazard Calculations,” with NFPA 70E,
“Standard for Electrical Safety Requirements for Employee Workplaces –
2000 Edition,” with
a 1981 IEEE paper, “The Other Electrical Hazard:
Electrical Arc Blast Burns,” by Ralph Lee,
a program of heat flux calculation from Duke Power, and with the ARCPRO program by
Kinetrics, Inc. Toronto, Ontario. All calculation methods caution that the testing and
calculations are based on selected conditio
ns. These are methods for predicting or
estimating arc flash hazards and thus actual cases experienced in the field can be expected
to vary from these values.
Comparison of Equation Design
The IEEE Standard, Duke Heat Flux, and NFPA 70E use equations dev
from tests performed with arcs, while the Lee paper and ARCPRO use equations based on
theoretical analysis and verified by comparison with some measured results.
IEEE 1584 Calculations consider three-phase arcs in enclosures and in ai
r. Published
input ranges are:
Voltage of 208 to 15,000 V
Bolted fault current of 0.700 to 106 kA
Grounding variations
Equipment enclosures of commonly available sizes
Gaps between conductors of 13mm to 152 mm (0.5 to 6 inches)
The equations were dev
eloped from curve fitting of results of values measured from
extensive testing performed by the standard’s working group.
Some general conclusions
resulting from their testing are:
System X/R ratio, system frequency, and electrode material had little or no effect
Incident energy depends primarily on arc current. Bus gap (arc length) is a small
factor
Calculations use Lee’s equation for voltages above 15 KV
Calculations use bolted fault current input
NFPA 70E – Calculations consider three-phase arcs in
enclosures or in air. Input ranges are
similar to IEEE 1584 including use of bolted fault current input. Tested values were limited to
a distance from the arc of greater than 18” only and for bolted fault currents for the range
from 16 KA to 50 KA and for
system voltages rated 600 V and below. The equations were
developed from curve fitting results of values measured on limited testing (compared to IEEE
1584). Some general conclusions resulting from the testing which developed the equations
and as reported
in an IEEE paper, “Predicting Incident Energy to Better Manage the Electric
Arc Hazard on 600-
V Power Distribution Systems” of the IEEE Transactions on Industry
Applications Vol. 36, No. 1, January/February 2000 were:
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COMPARISON OF ARC FLASH CALCULATION METHODS

By Neil Van Geem, PE General During recent years the electrical industry has focused attention on the electrical hazard of arc-flash and the danger of its causing severe burns to electrical workers who are in the vicinity of energized electrical equipment during an arc. Over this time various methods have been developed to estimate the effects of an electrical arc’s incident energy causing temperature rise on the human body as a result of the arc and on mitigating techniques such as levels of fire resistant clothing and work location relative to the arc. This paper reports on the results of a very limited comparison of four methods available for incident energy calculation. The methods include those developed and reported with the IEEE Standard 1584, “IEEE Guide for Performing Arc-Flash Hazard Calculations,” with NFPA 70E, “Standard for Electrical Safety Requirements for Employee Workplaces – 2000 Edition,” with a 1981 IEEE paper, “The Other Electrical Hazard: Electrical Arc Blast Burns,” by Ralph Lee, a program of heat flux calculation from Duke Power, and with the ARCPRO program by Kinetrics, Inc. Toronto, Ontario. All calculation methods caution that the testing and calculations are based on selected conditions. These are methods for predicting or estimating arc flash hazards and thus actual cases experienced in the field can be expected to vary from these values. Comparison of Equation Design The IEEE Standard, Duke Heat Flux, and NFPA 70E use equations developed empirically from tests performed with arcs, while the Lee paper and ARCPRO use equations based on theoretical analysis and verified by comparison with some measured results. IEEE 1584 – Calculations consider three-phase arcs in enclosures and in air. Published input ranges are:

  • Voltage of 208 to 15,000 V
  • Bolted fault current of 0.700 to 106 kA
  • Grounding variations
  • Equipment enclosures of commonly available sizes
  • Gaps between conductors of 13mm to 152 mm (0.5 to 6 inches) The equations were developed from curve fitting of results of values measured from extensive testing performed by the standard’s working group. Some general conclusions resulting from their testing are:
  • System X/R ratio, system frequency, and electrode material had little or no effect
  • Incident energy depends primarily on arc current. Bus gap (arc length) is a small factor
  • Calculations use Lee’s equation for voltages above 15 KV
  • Calculations use bolted fault current input NFPA 70E – Calculations consider three-phase arcs in enclosures or in air. Input ranges are similar to IEEE 1584 including use of bolted fault current input. Tested values were limited to a distance from the arc of greater than 18” only and for bolted fault currents for the range from 16 KA to 50 KA and for system voltages rated 600 V and below. The equations were developed from curve fitting results of values measured on limited testing (compared to IEEE 1584). Some general conclusions resulting from the testing which developed the equations and as reported in an IEEE paper, “Predicting Incident Energy to Better Manage the Electric Arc Hazard on 600-V Power Distribution Systems” of the IEEE Transactions on Industry Applications Vol. 36, No. 1, January/February 2000 were:

Effects of arcs in an enclosure are 1.5 to 2.5 that of the same arc in open air up to currents of 30 KA and 2.5 to 2.8 for currents of 30 to 50 KA

  • Only three phase arcs were considered
  • Tests matched Lee’s equation calculations for open air arcs between 16 and 35KA when calculating burn boundary distance
  • Poor correlation was found between equations for this testing range and for ARCPRO or the Duke Heat Flux calculation program. The testing performed to develop the empirical formulas used the same test set-up as was later used for IEEE 1584. The working group for IEEE 1584 built on the results of the testing used in NFPA 70E and conducted many more tests to develop their empirical equations. Lee’s Calculation – Calculations are theory based and are developed to consider maximum arc power. It considers three-phase arcs in open air and calculations use bolted fault current input. IEEE 1584 recommends this calculation method for medium voltage arcs (Above 15 KV) in open air at substations and for transmission and distribution systems. The IEEE 1 584 software defaults to this formula for cases with voltages over 15 KV. ARCPRO – Considers single-phase arcs in air using theoretical equations. The calculations use arc current rather than bolted fault current input. Published Input Ranges
  • Arc current of 0.2 KA to 100 KA (verified for 3.5 KA to 21.5 KA)
  • Arc duration of 0.05 to no limit in cycles (verified from 4 to 30)
  • Arc gap of 1 to 20 inches (verified from 1 to12 inches)
  • Source voltage (open circuit voltage across the gap in V) of “any that will sustain the arc”
  • Electrode material choice of copper or stainless steel
  • Distance from arc of 0.4 to 400 inches (verified from 8 to 24)
  • In an appendix it is recommended that the results of the calculation be multiplied by 1.5 to convert to an arc in a box. It further states that this gives “an extremely preliminary approximation.” Duke Heat Flux Calculator - This calculation is based on empirical values developed from measurements. It is made available to the public at no charge. It considers a single- phase arc in air, and uses arc current input. The paper used for the NFPA 70E calculation method (See reference above) compared the measured three phase results with the calculated results given for single phase arcs. It reported that, “Three-phase test values of maximum incident energy for the open arcs were from 2.5 to 3 times the values predicted by the single-phase models. Three-phase test values of maximum incident energy for the arcs in the cubic box were 5.2 to 12.2 times the values predicted by the single-phase models.”

KA, a 0.5 sec. (30 cycles) clearing time, a 1.25” arc gap, and a 24” working distance.

cycle) clearing time.

  • Case
  • Consider a three phase arc at a 480 volt Main Switchboard with a bolted fault current of 30.
    • *NFPA 70E E = 11.01 cal/cm 2 Clothing Class - For arc in air
    • IEEE 1584 E = 8.7 cal/cm 2 Clothing Class -
    • #*Lee E = 9.94 cal/cm 2 Clothing Class -
    • ~+ARCPRO E = 5.27 cal/cm 2 Clothing Class -
    • ~Duke Heat Flux E = 3.28 cal/cm 2 Clothing Class -
    • *NFPA 70E E = 19.2 cal/cm 2 Clothing Class - For same arc in an enclosure
    • IEEE 1584 E = 17.2 cal/cm 2 Clothing Class -
    • #*Lee E = 14.9 cal/cm 2 Clothing Class -
    • ++ARCPRO E = 15.81 cal/cm 2 Clothing Class -
    • ~Duke Heat Flux E = 5.74 cal/cm 2 Clothing Class -
  • Case
  • with a bolted fault current of 9.1 KA, an 18” working distance, a 1” arc gap, and a 0.1 sec. ( Consider a three phase arc at a 120/208 volt panel at the terminals of a 150 KV transformer
    • *NFPA 70E E = 1.75 cal/ cm 2 Clothing Class - For arc in air
    • IEEE 1584 E = 0.69 cal/cm 2 Clothing Class -
    • *Lee E = 0.464 cal/cm 2 Clothing Class -
    • ~+ARCPRO E = 0.34 cal/cm 2 Clothing Class -
    • ~Duke Heat Flux E = 0.272 cal/cm 2 Clothing Class -
    • *NFPA 70E E = 5.3 cal/cm 2 Clothing Class - For same arc in enclosure
    • IEEE 1584 E = 1.26 cal/cm 2 Clothing Class -
    • #*Lee E = 0.81 cal/cm 2 Clothing Class -
    • ++ARCPRO E =1.02 cal/cm 2 Clothing Class -
    • #~Duke Heat Flux E = 0.476 cal/cm 2 Clothing Class -

Case 5 Consider a medium voltage arc in air near a substation at 24.94 KV, a 60 inch (1524 mm) work distance, an arc duration time of 6 cycles (0.1 sec.), an arc gap of 6,” and abolted fault current of 10,000 amperes. NFPA 70E Not confirmed for voltage above 600 V IEEE 1584 E = 5.5 cal/cm 2 Clothing Class - 2 *Lee E = 5.497 cal/cm 2 Clothing Class - 2 (This verifies that Lee’sEquation is used in IEEE 1584 for medium voltages) +ARCPRO E = 0.34 cal/cm 2 Clothing Class - 0 ~Duke Heat Flux E = 0.112 cal/cm 2 Clothing Class - 0 Case 6 Consider a medium voltage three phase arc remote from a substation and having the same conditions as Case 5Except a fault current of 3.55 KA NFPA 70E Not confirmed for voltage above 600 V IEEE 1584 E = 2.0 cal/cm 2 Clothing Class - 1 *Lee E = 1.95 cal/cm 2 Clothing Class - 1 +ARCPRO E = 0.0 cal/cm 2 Clothing Class - 0 ~Duke Heat Flux E = 0.112 cal/cm 2 Clothing Class - 0 Case 7 Consider a medium voltage, three phase arc with same conditions as Case 6 except with working distance of 48” NFPA 70E Not confirmed for voltage above 600 V IEEE 1584 E = 3.0 cal/cm 2 Clothing Class - 1 *Lee E = 3.05 cal/cm 2 Clothing Class - 1 +ARCPRO E = 0.17 cal/cm 2 Clothing Class - 0 ~Duke Heat Flux E = 0.175 cal/cm 2 Clothing Class - 0 Case 8 Consider a medium voltage, three phase arc with same conditions as Case 6 except with work distance of 36” NFPA 70E Not confirmed for voltage above 600 V IEEE 1584 E = 5.4 cal/cm 2 Clothing Class - 2 *Lee E = 5.4 cal/cm 2 Clothing Class - 2 +ARCPRO E = 0.17 cal/cm 2 Clothing Class - 0 ~Duke Heat Flux Clothing Class - 0 Clothing Class - 0

Calculations for Varying Voltage Because of varying values for incident energy in the above cases, separate comparisons were made with all arc conditions remaining the same while varying the voltage supply. The set conditions were for a three phase arc in air with a bolted fault current of 16 KA, a working distance of 36 inches (914 mm), an arc gap of 2 inches (50.8 mm), and a clearing time of 12 cycles (0.2 seconds). For varying voltage the incident energy, E, was calculated for the two methods which calculate three phase arcs, IEEE, and Lee methods. It should be noted that the NFPA method was not confirmed for voltage above 600 V or fault currents below 16,000 amps and thus its results are included in the following cases only for the two cases of voltage of 600 or less even though the method calculates for three phase arcs. The results, in calories per square centimeters, are as follows: 35 KV IEEE 68.6 Clothing Class - X Lee 68.6 Clothing Class - X 24.94 KV IEEE 48.9 Clothing Class - X Lee 48.9 Clothing Class - X 13.8 KV IEEE 1.6 Clothing Class - 1 Lee 27.7 Clothing Class - 4 12.5 KV IEEE 1.6 Clothing Class - 1 Lee 27.7 Clothing Class - 3 4.16 KV IEEE 1.4 Clothing Class - 1 Lee 8.16 Clothing Class - 3 2.4 KV IEEE 1.4 Clothing Class - 1 Lee 4.64 Clothing Class - 1 1.0 KV IEEE 1.1 Clothing Class - 0 Lee 1.92 Clothing Class - 1 0.6 KV IEEE 0.9 Clothing Class - 0 Lee 0.96 Clothing Class - 0 NFPA 0.556 Clothing Class - 0

CONCLUSIONS

Based on all the comparison cases tabulated above and their varying computed values for incident energy, it is easily seen why selecting an appropriate method of estimating incident energy is confusing and difficult. Even though using a comparison of Clothing Class narrows the gap between predictions somewhat, there is still disparity between the predicted arc incident energy. The favored choice may be to select the IEEE Standards method primarily because it is based on empirical equations developed through multiple tests of varying fault cases. It calculates for three phase faults (which are the most prevalent form of faults for voltages 1 KV and under) in both open air and in an enclosure. The NFPA method uses empirical equations developed in much the same manner as the IEEE but based on fewer test cases, and is limited in both voltage and fault current ranges. ARCPRO and the Duke Heat Flux programs are limited to single phase arcs in air with recommended adjustment factors to estimate three phase arcs and arcs in enclosures. The Lee method, though accepted by IEEE for supply voltages above 15 KV, makes assumptions about the arc current magnitude and may be overly conservative. It would be more reassuring to see better correlation of answers between the calculation methods studied, but it should be remembered that all these methods were developed to give the electric industry an estimate or prediction of incident energy for a worker exposed to an electric arc. We, who are concerned about electric safety, are left to making the best choice from among different methods of calculation giving different answers. Copyright © Associated Training Corporation. Any unauthorized duplication or distribution prohibited.