Worked problem

Fault Current at the End of a Feeder

Add a 150 ft copper feeder to the transformer fault calculation and compare the fault current at the terminals with the current at a downstream panel.

Electrical & Power · Last reviewed

Given

The 500 kVA, 480 V, 5.75% impedance transformer from the short-circuit problem in this section, on an infinite bus. One 500 kcmil copper conductor per phase in steel conduit runs 150 ft to a downstream panel. For this exercise take the feeder impedance as R = 0.027 Ω and X = 0.048 Ω per 1,000 ft per phase; real values come from the code tables or the cable maker. Treat the transformer impedance as reactance.

Find

The three-phase fault current at the transformer terminals and at the downstream panel.

Solution

  1. Transformer impedance in ohms = %Z × V² ÷ kVA = 0.0575 × 480² ÷ 500,000 = 0.02650 Ω.
  2. At the terminals: I = V ÷ (√3 × Z) = 480 ÷ (1.732 × 0.02650) = 10,459 A, the value from the earlier problem.
  3. Feeder (0.15 thousand feet): R = 0.027 × 0.15 = 0.00405 Ω and X = 0.048 × 0.15 = 0.00720 Ω.
  4. Add resistances and reactances separately: R = 0.00405 Ω and X = 0.02650 + 0.00720 = 0.03370 Ω.
  5. Total impedance = √(0.00405² + 0.03370²) = 0.03394 Ω.
  6. At the panel: I = 480 ÷ (1.732 × 0.03394) = 8,166 A.

Answer

about 10.5 kA at the transformer | about 8.2 kA at the panel (22% lower)
LocationImpedanceFault current
Transformer secondary terminals0.02650 Ω10,459 A
Downstream panel, 150 ft away0.03394 Ω8,166 A

What it means

  • Every device must be rated for the fault current at its own location. A 10 kA-rated device would be enough at this panel but not at the transformer secondary, where 10.5 kA is available.
  • The drop is only 22% because a short feeder adds little impedance next to a large transformer. A long feeder or small conductors lower the fault current a lot more.
  • This still assumes an infinite bus and ignores motor contribution. A full study includes the utility source and motors, which raise the value.

Common mistakes

  • Using the transformer fault current for every panel downstream, which can lead to over-sized, costlier equipment.
  • Adding the impedance magnitudes instead of adding resistance and reactance separately. Here that gives 8.0 kA, a little low.
  • Doubling the feeder length as if it were a single-phase loop. For a balanced three-phase fault the impedance is per phase, so the one-way length is used.
  • Using a feeder impedance value from a different conduit material without checking.

Related tools and labs

Calculators, labs and simulators are part of the All-Access Pass.

More worked problems

Questions

Why does the fault current fall with distance?

The feeder conductors add impedance in series with the transformer, so the same voltage drives a smaller current.

Should I use the lower value to choose equipment?

Equipment should be rated for the highest fault current it can see. The value at the transformer terminals is the safe upper bound for everything downstream.

What changes with a finite utility source?

The source impedance adds to the total, which lowers the fault current at every point.

Educational material. Examples use simplified, hypothetical inputs and are not a design, a construction document or professional engineering advice. Confirm requirements with the codes and standards adopted where the work is built and with a licensed engineer.

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