Short-Circuit Current Calculator
Prospective short-circuit current from source V and loop impedance.
How to Use
- Enter source V (line-neutral) and total loop Z (R+jX).
- Isc = V / |Z|. Breaker AIC must exceed Isc.
Show Work
Formulas
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.
About the Short-Circuit Current Calculator
Short-Circuit Current Calculator is a quick, free tool for electronics and circuit design. It works in your browser and keeps everything on your device. Prospective short-circuit current from source V and loop impedance.
How it works
Enter your figures and the result appears instantly, updating the moment you change anything. There is no submit button and nothing to wait for, so it is easy to try a few what-if numbers and compare the results. Just check each box holds the kind of value it expects.
Want the deeper story? The Knowledge Base explains the ideas behind the tools in more detail.
Frequently Asked Questions
Why Z?
Everything from transformer to fault (cable, bus, transformer) limits current.
Per unit?
kA base · (1/Zpu) gives Isc directly.
How do I use the Short-Circuit Current Calculator?
Just type your numbers. The answer shows up right away — there is no button to press. Change anything and it updates by itself.
Does it cost anything or need an account?
No. The tool is completely free, there is no account to create, and it keeps working offline after the page first loads.
Is anything I type uploaded?
No. The tool works entirely on your device, so the values you enter never leave your browser.
Common Use Cases
Panel Study
Size breakers AIC.
Battery Bank
Fuse rating must hold.
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