10 — Calculators
Short-circuit current at the transformer
The short-circuit current determines the breaking capacity the downstream protective devices need. For a first estimate, three figures from the transformer nameplate are enough.
Result
- Initial symmetrical short-circuit current I″kRMS value at the low-voltage terminals
- —kA
- Rated current
- —A
- Ratio I″k / Iᵣ
- —
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- Opens the print dialog. Choose “Save as PDF” as the destination.
- Opens your email program with the values from this calculation. Nothing is sent to us until you send it yourself.
A guide, not a design to standard. We give no warranty for the correctness of the results, the applicable standards and case-by-case verification govern.
Worked example
The default case the calculator starts with, worked through once. Change the values above and it recalculates immediately.
Inputs
- Rated apparent power
- 630 kVA
- Nominal voltage, low-voltage side
- 400 V
- Short-circuit voltage uₖ
- 6 %
Result
- Initial symmetrical short-circuit current I″k
- 15.2 kA
- Rated current
- 909 A
- Ratio I″k / Iᵣ
- 16.7
Formula
- Iᵣ = Sᵣ / (√3 · Uᵣ)
- I″k = Iᵣ / (uₖ / 100)
Assumptions and standards
- The calculation assumes an infinitely strong upstream source, neglecting its impedance, the real network limits the current further, so the result is on the safe side.
- Only the transformer is considered, not cables, busbars or motor contribution.
- The result is the RMS value I″k, which governs the rated breaking capacity of protective devices. The peak short-circuit current iₚ, the crest of the first half-cycle, governing the dynamic strength of busbars, follows from iₚ = κ · √2 · I″k with κ ≈ 1.8 and is therefore about 2.5 times as high.
- A binding design requires calculation to IEC 60909.
Frequently asked
Why is the value higher than in the network study?
Because the upstream network impedance is neglected here. In practice it reduces the short-circuit current, often by 5 to 15 %. For selecting breaking capacity, erring high is the right direction.
What does uk on the nameplate mean?
The voltage that has to be applied on the high-voltage side so that rated current flows on the low-voltage side under short circuit, given as a percentage of nominal voltage. A small uk means a high short-circuit current.
Calculating is the easy part.
A formula gives you a number. Designing a plant also demands installation method, grouping, discrimination, the standards in force and a look at the installed base. That is what we take on.
More tools
- 01Cable cross-section
- 02Voltage drop
- 03Cable resistance
- 04Cable losses
- 05Maximum cable length
- 06Current-carrying capacity
- 07Parallel cables
- 08Conductor temperature
- 09Cable capacitance
- 11Cable impedance
- 12Network impedance
- 13Short-circuit current at the far end
- 14Thermal short-circuit withstand
- 15Length and disconnection
- 16Motor current
- 17Torque
- 18Starting current
- 19Star-delta starting
- 20Soft starting
- 21Motor efficiency
- 22Speed control instead of throttling
- 23Speed and slip
- 24Setting the motor protection
- 25Single-phase motor
- 26Motor feeder
- 27Required motor rating
- 28PFD and SIL
- 29PFH and SIL
- 30Protective conductor size
- 31Earth rod
- 32Touch voltage
- 33Residual current protection
- 34Check discrimination
- 35Connecting a surge arrester
- 36Enclosure cooling
- 37Reference designation
- 38Reactive power compensation
Contact
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