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Base kVA Method (textbook per-unit impedance)9 min read

Worked Example: Available Fault Current from Utility Source Down to a Sub-Panel

Using the classic Base kVA Method to estimate available short-circuit current at two points down a radial LV network, and checking a downstream breaker's interrupting rating against it.

Scenario

Base1000 kVA
System voltage415 V line-to-line
Utility source fault level250 MVA
Transformer1000 kVA, 6% impedance (own base)
Cable, transformer to sub-panel1.5% impedance (on the 1000 kVA base)
Sub-panel main breakerExample: rated 22 kA interrupting capacity

Step-by-step calculation

Step 1: Convert the utility source fault level to %Z on the chosen base

%Z(source) = (baseMVA / sourceFaultMVA) x 100
%Z(source) = (1 / 250) x 100 = 0.4%
Source impedance = 0.4% on the 1000 kVA base

Step 2: Add the transformer impedance (already on the same base) and find the fault at its secondary

Cumulative %Z = 0.4% + 6% = 6.4%
Fault MVA = (baseMVA x 100) / cumulative %Z = (1 x 100) / 6.4 = 15.625 MVA Ifault = Fault MVA / (√3 x kV) = 15.625 / (1.732 x 0.415)
Fault current at transformer secondary = 21.7 kA

Step 3: Add the cable impedance and find the fault at the sub-panel

Cumulative %Z = 6.4% + 1.5% = 7.9%
Fault MVA = 100 / 7.9 = 12.66 MVA Ifault = 12.66 / (1.732 x 0.415)
Fault current at sub-panel = 17.6 kA

Step 4: Check the sub-panel breaker's interrupting rating against the worst-case fault it must clear

Rated interrupting capacity ≥ available fault current
22 kA ≥ 17.6 kA
Passes, with roughly 25% margin

Result summary

CheckRequirementActualStatus
Fault current at transformer secondary busn/a (informational)21.7 kA✓ PASS
Fault current at sub-paneln/a (informational)17.6 kA✓ PASS
Sub-panel breaker interrupting rating≥ 17.6 kA22 kA rated✓ PASS
Available fault current drops from 21.7 kA at the transformer secondary to 17.6 kA at the sub-panel as cable impedance is added, and the example 22 kA breaker comfortably clears the worse of the two.

Key insight: This method sums %Z values arithmetically (scalar addition) rather than resolving each element into resistance and reactance and combining them vectorially. That's the classic quick-estimate version of the method — it slightly overstates total impedance and therefore understates fault current relative to a full R+jX study, so it should never be used to finalize a protective device's interrupting rating on its own; treat the result as a first screening figure, then verify with a full short-circuit study before specifying equipment.

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Frequently asked questions

Why does fault current go down as you move away from the source?

Every element between the source and a given point — the transformer, cables, busbars — adds its own impedance to the total fault-current path. More cumulative impedance means less current can flow for a given system voltage, so available fault current is always highest right at (or upstream of) the source and decreases at each downstream point.

Why convert everything to the same kVA base?

Percentage or per-unit impedance values are only meaningful relative to a stated power base — a transformer's 6% impedance is 6% of its own rated kVA. To add impedances from different equipment together, they must first be converted onto one common base, which is exactly what the elementBaseKva field on each element does before summing.

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