Short-Circuit Current Calculator

Prospective short-circuit current from source V and loop impedance.

Calculator Electronics Updated Apr 18, 2026
How to Use
  1. Enter source V (line-neutral) and total loop Z (R+jX).
  2. Isc = V / |Z|. Breaker AIC must exceed Isc.
Input
V
Presets
Fault
Isc
|Z|
X/R
Peak asym.

Show Work

Enter values.

Formulas

Isc
V / √(R² + X²)
Symmetrical RMS.
X/R
Loop reactance/resistance
Higher → more asymmetry.
Peak
√2 · K · Isc
K ≈ 1.0–2.7 based on X/R.
AIC
≥ Isc
Breaker interrupting rating.
Transformer
Isc = IFL/Zpu
Quick estimate.
Series derate
Add cable Z
Lowers Isc at downstream.

History of Short-Circuit Analysis

Short-circuit analysis became a discipline in the 1920s as utility systems interconnected into regional networks. The fault current at a given location depends on every source (generator, motor contribution) and every impedance in the path, and simple series-resistance arithmetic didn't suffice once three-phase transformers with per-unit reactance dominated the calculation. General Electric engineers pioneered the "per-unit system" in the 1920s-30s, letting engineers compute fault current across transformer boundaries by referring everything to a common base.

The 1965 Northeast blackout — which cascaded across eight US states and Ontario in 13 seconds after a single relay misoperation near Niagara Falls — drove regulatory attention to protective-device coordination. IEEE 141 ("Red Book") and IEEE 242 ("Buff Book") codified short-circuit calculation and protective-device coordination practices still used today. Commercial software (SKM, ETAP, EasyPower) emerged in the 1980s to handle the arithmetic for large industrial plants with hundreds of buses.

X/R ratio matters because a fault initiated at voltage zero crosses into the inductive half-cycle with full asymmetric DC offset — peak current can be √2 × 1.7 = 2.4× the symmetrical RMS value in transformer-dominated systems (X/R > 15). Breaker peak-withstand ratings account for this; modern low-voltage MCCBs are typically tested at X/R = 6.6, while high-X/R installations (directly transformer-fed buses) require derating or higher-rated devices.

About This Calculator

Enter the source voltage (line-neutral or line-line as appropriate for your fault type), total loop resistance (R), and loop reactance (X) in milliohms. The tool computes symmetrical RMS fault current Isc = V / √(R² + X²), loop impedance magnitude |Z|, X/R ratio, and peak asymmetric current √2 × K × Isc where K is the asymmetry factor (1.0 for X/R=0, up to ~2.7 for high X/R).

Use for breaker AIC (interrupting capacity) selection — the breaker's AIC rating must exceed Isc at its mounting location. For series-rated combinations, consult the manufacturer's table rather than computing per-device. For three-phase bolted faults, treat V as line-neutral on wye or use the per-phase equivalent. Everything runs client-side; no values leave your browser.

Frequently Asked Questions

Why Z?

Everything from transformer to fault (cable, bus, transformer) limits current.

Per unit?

kA base · (1/Zpu) gives Isc directly.

Common Use Cases

Panel Study

Size breakers AIC.

Battery Bank

Fuse rating must hold.

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