IEC IDMT Curve Calculator

Calculate trip times for IEC 60255 Inverse Definite Minimum Time protection curves.

IEC 60255 IDMT Curves

Inverse Definite Minimum Time (IDMT) curves define the trip time for protection relays based on fault current magnitude. Higher fault currents result in faster trip times.

Two settings determine trip time: current setting (Is) and time multiplier setting (TMS).

$$t(I) = TMS \left( \frac{k}{(I/Is)^\alpha - 1} \right)$$
Curve Type k α
Standard Inverse 0.14 0.02
Very Inverse 13.5 1
Extremely Inverse 80 2
Long Time Inverse 120 1

Inputs

Trip Times

Standard Inverse
- s
Very Inverse
- s
Extremely Inverse
- s
Long Time Inverse
- s

Frequently Asked Questions

What is an IDMT calculator used for?

An IDMT calculator calculates protection relay trip times based on IEC 60255 inverse time curves. It determines how quickly a relay will trip based on fault current magnitude and time multiplier settings (TMS). Essential for protection coordination studies in electrical power systems.

What IEC curves are supported?

This calculator supports all four IEC 60255 standard curves: Standard Inverse (SI), Very Inverse (VI), Extremely Inverse (EI), and Long Time Inverse (LTI). Each curve has different k and α constants for calculating trip times.

Is this IDMT calculator free to use?

Yes, completely free with no registration or signup required. Calculate unlimited trip times for protection coordination studies. All calculations run in your browser with instant results.

How do I calculate IDMT trip time?

Enter your TMS (Time Multiplier Setting) and I/Is (current multiplier) values, then click Calculate. The tool uses the IEC formula: t = TMS × (k / ((I/Is)^α - 1)) to calculate trip times for all four curve types simultaneously.

What is TMS in relay settings?

TMS (Time Multiplier Setting) is a multiplier that scales the trip time curve. Higher TMS values increase trip times proportionally, allowing for protection grading coordination between multiple relays.

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