Fault Currents Outside the Model Range in Arc Flash
Question: How does Arc Flash handle bolted fault currents that are out of the model range?
Answer:
In IEEE 1584 method, PTW uses the Ralph Lee Equation for any parameter that is outside of the range of model (Voltage, Fault Current, Gap):
![](data:image/png;base64,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)
Sample:
(1a) PTW Calculation:
![](data:image/png;base64,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)
(1b) Hand Calculation:
![](data:image/png;base64,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)
In the NFPA (Doughty Neal) Method, a scale factor is used when the bolted fault current is out of the model range:
Basically, the scale factor is the (Bolted fault/lower or upper limit). The factor was obtained in the Tutorial B presentation in PCIC. (see attached)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Answer:
In IEEE 1584 method, PTW uses the Ralph Lee Equation for any parameter that is outside of the range of model (Voltage, Fault Current, Gap):
Sample:
(1a) PTW Calculation:
(1b) Hand Calculation:
In the NFPA (Doughty Neal) Method, a scale factor is used when the bolted fault current is out of the model range:
Basically, the scale factor is the (Bolted fault/lower or upper limit). The factor was obtained in the Tutorial B presentation in PCIC. (see attached)
Files | ||
---|---|---|
![]() |
Tutorial B Presentation.pdf 1 MB |