Short Circuit Current Calculator Formula

Understand the math behind the short circuit current calculator. Each variable explained with a worked example.

Formulas Used

Short Circuit Current

isc = fla_secondary / (transformer_z_pct / 100)

Short Circuit Current

isc_ka = fla_secondary / (transformer_z_pct / 100) / 1000

Full Load Amps

fla = fla_secondary

Available Short Circuit kVA

short_circuit_kva = transformer_kva / (transformer_z_pct / 100)

Variables

VariableDescriptionDefault
transformer_kvaTransformer Rating(kVA)500
transformer_z_pctTransformer Impedance(%)5
secondary_voltageSecondary Voltage(V)480
fla_secondaryDerived value= transformer_kva * 1000 / (sqrt(3) * secondary_voltage)calculated

How It Works

Estimating Short Circuit Current

The maximum short-circuit current at a transformer secondary determines the required interrupting capacity of protective devices.

Formula

I_sc = I_fla / (Z% / 100)

Where I_fla is the transformer full-load secondary current and Z% is the transformer impedance.

I_fla (3-phase) = kVA x 1000 / (sqrt(3) x V_secondary)

This gives the maximum available fault current at the transformer terminals. Downstream cable impedance reduces the fault current at the load.

Worked Example

500 kVA transformer, 5% impedance, 480 V secondary.

transformer_kva = 500transformer_z_pct = 5secondary_voltage = 480
  1. 01FLA: 500,000 / (1.732 x 480) = 601.4 A
  2. 02I_sc: 601.4 / 0.05 = 12,029 A = 12.0 kA
  3. 03Available SC kVA: 500 / 0.05 = 10,000 kVA

Ready to run the numbers?

Open Short Circuit Current Calculator