A free online arc flash calculator is available online on the My Electrical Engineering web site at:
http://myelectrical.com/tools/arc-flash-calculatorThe web page says that the arc flash calculator provides: "Calculation of arc flash incident energy and protection boundary in accordance with IEE Std. 1584 'IEEE Guide for Performing Arc-Flash Hazard Calculations'." The formulas that are used are given on the web page.
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