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

Frequently Asked Questions

Why is short-circuit current important?

All protective devices (breakers, fuses, switches) must be rated to safely interrupt the available fault current. Under-rated devices can explode.

Does this include utility contribution?

This calculation assumes the utility source has infinite capacity (worst case at transformer). In practice, utility impedance slightly reduces the fault current.

How does cable length reduce fault current?

Cable impedance adds to the transformer impedance, reducing the fault current at downstream points. Longer cables mean lower fault currents.

Ready to run the numbers?

Open Short Circuit Current Calculator