keepcalculator

06 Numbers and Powers

DC Arc Flash Hazard Analysis: Step-by-Step Guide

Card No. 06·49417 · Updated · Standard formula, shown below

This guide explains how to perform a DC arc flash hazard analysis for an industrial system, such as battery banks, DC switchgear, or photovoltaic arrays. You will learn the systematic process to calculate incident energy, determine arc flash boundaries, and select appropriate PPE based on IEEE 1584 and other applicable standards. Before starting, ensure you have system data, a qualified engineer, and proper safety training.

What You’ll Need

  • One-line diagram of the DC system
  • Battery or DC source data: voltage, short-circuit current, internal resistance
  • Cable data: length, size, conductor material
  • Protective device data: fuse or breaker type, settings, clearing time
  • Arc flash analysis software (e.g., SKM, ETAP, EasyPower) or manual calculation tools
  • IEEE 1584-2018 (for AC systems, but DC methods often reference it) and IEEE 1584.1-2013 (guide for specifying)
  • NFPA 70E (for PPE categories and boundaries)
  • Multimeter or clamp meter for field measurements (if available)
  • Personal protective equipment (PPE) for the data collection phase

Step-by-Step

  1. Gather system data. Obtain the one-line diagram and identify all DC sources (batteries, rectifiers, solar arrays, capacitors). Record the nominal system voltage, the available short-circuit current at each bus (from manufacturer data or short-circuit study), and the internal resistance of sources.
  2. Calculate bolted fault current at each bus. Use the DC short-circuit calculation method: I_bolted = V_oc / (R_total), where V_oc is the open-circuit voltage and R_total is the sum of source internal resistance plus cable resistance up to the fault point. Include battery internal resistance (often available from the battery datasheet). For solar arrays, use the module’s short-circuit current and array configuration.
  3. Determine the arc resistance. Unlike AC, DC arcs have significant resistance that limits current. Use the Stokes or Ammerman model (from IEEE 1584 for DC) to estimate arc resistance based on gap distance and current. A common simplified approach: R_arc = (20 + 0.534 * gap_mm) / I_arc^0.88 (for currents in amperes) – but verify with software.
  4. Calculate the actual arc current. Solve the circuit equation: V_oc = I_arc * (R_total + R_arc). This may require iteration because R_arc depends on I_arc. Use software or a spreadsheet to converge on the solution.
  5. Determine the arc duration. Identify the protective device (fuse or breaker) that clears the fault. Obtain its time-current curve (TCC) for the calculated arc current. The clearing time is the time it takes for the device to operate. For fuses, use the melting time; for breakers, use the total clearing time. If no device is present, use a maximum duration (e.g., 2 seconds) per company policy.
  6. Calculate incident energy. Use the DC arc flash model from IEEE 1584-2018 (Annex D) or the older Stokes model. The incident energy formula for DC is: E = k * I_arc * t / D^2, where k is a constant (e.g., 0.01 for open air, 0.005 for enclosed), I_arc is in amperes, t is in seconds, and D is the working distance in meters. The result is in cal/cm². For a more accurate calculation, use software that implements the full IEEE model.
  7. Determine the arc flash boundary. The arc flash boundary is the distance at which incident energy equals 1.2 cal/cm² (the threshold for a curable burn). Rearrange the incident energy formula to solve for D: D = sqrt(k * I_arc * t / 1.2). This gives the boundary in meters.
  8. Select PPE based on incident energy. Using the calculated incident energy at the working distance, refer to NFPA 70E Table 130.7(C)(15)(c) for DC systems or use the PPE category method. If incident energy exceeds 40 cal/cm², consider engineering controls or remote operation.
  9. Document and label. Create arc flash labels for each DC panel and bus, showing incident energy, arc flash boundary, working distance, and required PPE. Update the one-line diagram and system documentation.
  10. Review and update periodically. Re-evaluate the analysis whenever the system changes (e.g., new batteries, cable upgrades, protective device changes) or at least every 5 years.

Common Mistakes

  • Ignoring arc resistance: Assuming the arc current equals the bolted fault current leads to overestimating incident energy and overly conservative PPE.
  • Using AC methods for DC: DC arcs behave differently; do not apply AC formulas without proper DC-specific models.
  • Forgetting cable impedance: Long cables reduce fault current; neglecting them overestimates energy.
  • Incorrect gap distance: Using the wrong electrode gap (e.g., busbar spacing) significantly affects arc resistance and incident energy.
  • Not considering multiple sources: Batteries and rectifiers can feed a fault simultaneously; calculate the total contribution.
  • Using maximum clearing time without verification: Always check the actual TCC for the calculated arc current, not just the maximum time.

Tips

  • Use validated software: Arc flash analysis software reduces errors and handles iterative calculations efficiently.
  • Calibrate system data: Verify battery internal resistance and cable lengths from physical inspection.
  • Consult IEEE 1584-2018: The standard includes a DC arc flash model (Annex D) that is more accurate than older methods.
  • Document assumptions: Clearly state gap distances, working distances, and device clearing times in the report.
  • Train personnel: Ensure workers understand how to read arc flash labels and use PPE correctly.

Troubleshooting

Calculated incident energy seems too high or too low. Check your arc current calculation – verify the bolted fault current and arc resistance. Re-measure battery internal resistance if possible. Ensure the gap distance is correct for the equipment.

Protective device clearing time is hard to find. Contact the manufacturer or use the device’s published TCC. If unavailable, use a conservative estimate (e.g., 2 seconds) and note the assumption.

Software gives different results than manual calculation. Software may use a different arc model or include additional factors. Cross-check with the IEEE formula and ensure input data matches.

Multiple sources complicate the calculation. Use superposition: calculate the fault current from each source separately and sum them, considering the source impedances.

Arc flash boundary is larger than the room. This indicates very high energy; consider engineering controls like arc-resistant equipment or remote racking.

Frequently Asked Questions

Q: Can I use IEEE 1584-2018 for DC systems?
A: Yes, IEEE 1584-2018 includes a DC arc flash model in Annex D, specifically for DC systems. It is the most current method.

Q: What is a typical working distance for DC equipment?
A: NFPA 70E defines a typical working distance of 455 mm (18 inches) for panelboards and 610 mm (24 inches) for switchgear, but verify with your equipment.

Q: How often should I update the arc flash study?
A: Re-evaluate whenever there is a significant change to the system (e.g., battery replacement, cable changes) or at least every 5 years.

Q: What if the protective device does not clear the fault?
A: If no device exists, the arc duration is limited by the operator’s reaction time or the system’s protection. Use a maximum duration (e.g., 2 seconds) and consider adding protection.

Q: Do I need to consider the DC arc flash for solar panels?
A: Yes, photovoltaic arrays can produce DC arcs. Use the same method, but note that the array’s short-circuit current is limited by the modules, and the system voltage is the array’s open-circuit voltage.

Q: Is a DC arc flash analysis required by law?
A: In many jurisdictions, employers must assess electrical hazards per OSHA regulations. NFPA 70E provides the guidance, but compliance is mandatory in the US for workplaces.

Related

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

More cards in this drawer

The whole Numbers and Powers drawer →