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IDMT Relay Operating Time Calculator

Calculate the trip time of an inverse definite minimum time (IDMT) overcurrent relay for the four IEC 60255 curve types, and see the curve at standard multiples of setting.

IEC 60255 curvesTMSPlug settingRelay coordination
A
TMS
A
Operating time0.2971 s
Multiple of setting10 × Is
How this result was calculated
  1. M = If ÷ Is = 4,000 ÷ 400 = 10
  2. t = TMS × 0.14 ÷ (M0.02 − 1) = 0.2971 s

Operating time at multiples of setting

MultipleCurrentTime
1.5 ×600 A1.719 s
2 ×800 A1.003 s
3 ×1,200 A0.6302 s
5 ×2,000 A0.428 s
7 ×2,800 A0.3528 s
10 ×4,000 A0.2971 s
15 ×6,000 A0.2516 s
20 ×8,000 A0.2267 s
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IEC 60255 IDMT Curves

t = TMS × k ÷ (Mα − 1)
SI: k = 0.14, α = 0.02   VI: k = 13.5, α = 1
EI: k = 80, α = 2   LTI: k = 120, α = 1

M is the fault current divided by the pickup setting (plug setting multiplier) and TMS the time multiplier setting.

Worked example

Standard inverse, pickup 400 A, TMS 0.1, fault 4000 A (M = 10): t = 0.1 × 0.14 ÷ (100.02 − 1) = 0.30 s.

Key insight: for coordination, keep a grading margin of about 0.3 to 0.4 s between upstream and downstream relays at the maximum fault current they both see.
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Frequently Asked Questions

What is TMS in an IDMT relay?

The time multiplier setting scales the whole curve vertically. TMS 0.1 gives one tenth of the time at TMS 1.0.

Which IDMT curve should I use?

Standard inverse suits most networks. Very and extremely inverse grade better with fuses and where fault current falls sharply with distance.

What is plug setting multiplier?

The ratio of fault current to relay pickup current. The relay only operates when it is greater than 1.

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