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Fault level

MVA method: source plus transformer plus local infeed

ST=SrTuk/100Sbus=SkQ″STSkQ″+STStot=Sbus+SmIk″=Stot3Un
where
ST
transformer short-circuit MVA (MVA)
SrT
transformer rating (MVA)
uk
transformer impedance (%)
Sbus
fault level through the transformer (MVA)
S″kQ
upstream fault level (MVA)
Stot
total busbar fault level (MVA)
Sm
local motor or generator infeed (MVA)
I″k
busbar fault current (kA)
Un
busbar nominal voltage (kV)
Explain this equation

A quick estimate of busbar fault level using the MVA method. Handy for sanity-checking a study, a quotation or a switchgear rating before doing a full impedance calculation.

Each element is turned into its own short-circuit MVA. A transformer can pass its rating divided by its per-unit impedance, so ST = SrT/(uk/100). S″kQ is the upstream fault level, Sm any motor or generator infeed connected at the busbar, and Un the busbar voltage.

Short-circuit MVA is the inverse of per-unit impedance on a common base. So elements in series combine like resistors in parallel, which is the product-over-sum Sbus, while infeeds in parallel simply add. The current then follows from I = S/(√3·Un).

Sense check: a 20 MVA, 10% transformer can pass 200 MVA on its own. Behind a 500 MVA source it gives about 143 MVA, or 7.5 kA at 11 kV. An infinitely stiff source would leave just ST.

Watch out: the method ignores angles, the voltage factor c and KT. Treat it as an estimate, and use the IEC 60909 impedance method for equipment ratings.

Quick fault level estimate: series elements combine like resistors in parallel (reciprocals), parallel infeeds simply add.

%

Enter your values to see the result.

Good to know

Each element’s short-circuit MVA is its rating divided by its per-unit impedance (ST = SrT/uk, motor ≈ rating × LRC ratio). Good for checking a study or switchgear rating at a glance. A 20 MVA, 10% transformer on a 500 MVA source gives about 143 MVA at 11 kV.

Common mistake

Combining MVAs of elements with very different X/R as if in phase, then treating the result as an IEC 60909 value. The MVA method ignores angle and c, so it is an estimate, not a rating calculation.

Limits

Scalar (magnitude-only) method with no voltage factor c and no KT. Typically within a few per cent of an impedance calculation when X/R ratios are similar; use the impedance method (IEC 60909) for equipment ratings.

Sources

For competent high-voltage engineers. Results are calculations from the published methods shown and depend entirely on the data you enter. They are not a substitute for a system study, manufacturer data, the applicable standards and Engineering Recommendations, or your organisation’s safety rules. Never use a result to justify working on or near live HV equipment.

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