IEC 60255-15110 min read

Building Up the Grading Margin: Three Relays From an MCC to the 11 kV Side

Part 4 of the protection series. The margin is not a fixed 0.4 s: it is relay error, CT error, breaker time, overshoot and a safety allowance. Using it properly makes the upstream relays faster.

Scenario

R1 — MCC feeder (LV)IEC SI, pickup 400 A, TMS 0.05; fault at MCC 22.9 kA
R2 — LV incomerIEC SI, pickup 2,500 A; fault at LV board 37.4 kA
R3 — transformer HV relayIEC SI, pickup 100 A at 11 kV (LV board fault = 1,360 A at 11 kV)
Margin components (numeric relays)Relay error 5 %, CT error 10 %, breaker 50 ms, overshoot 20 ms, safety 30 ms

Step-by-step calculation

Step 1: Margin formula

t′ = (2Er + Ect)/100 × t + t_CB + t_o + t_s
t′ = (2 × 5 + 10)/100 × t + 0.05 + 0.02 + 0.03 = 0.2 t + 0.10
0.14 s at t = 0.2 s; 0.20 s at t = 0.5 s; 0.30 s at t = 1 s

Step 2: R1 at the MCC fault

t = 0.14 × TMS / ((I/Is)^0.02 − 1)
M = 22,905/400 = 57.3 → t1 = 0.083 s
t1 = 0.083 s; required R2 time = 0.083 + (0.2 × 0.083 + 0.10) = 0.200 s

Step 3: R2 TMS

Step 4: R3 TMS (grading with R2 at the LV board fault)

Step 5: Compare with a fixed 0.4 s margin

With 0.4 s, R2 would need TMS 0.16 (0.40 s at the LV board), and R3 would be slower again — adding arc-flash energy at the LV board.

Result summary

CheckRequirementActualStatus
R2 over R1 at 22.9 kA≥ 0.200 s0.216 s✓ PASS
R3 over R2 at LV board fault≥ 0.312 sTMS 0.12 → 0.313 s✓ PASS
Using a calculated margin (0.2 t + 0.1 s), the LV incomer needs TMS 0.07 and the transformer HV relay TMS 0.12. A blanket 0.4 s margin would have made the upstream relays roughly twice as slow.

Key insight: The margin should match the equipment. Numeric relays and fast breakers justify 0.2–0.3 s; older electromechanical relays need about 0.35–0.4 s because their errors and overshoot are larger.

Try it with your own numbers

Every input in this example is editable in the live calculator — no signup needed.

Open IDMT Relay Coordination calculator →

Frequently asked questions

Is the formula from a standard?

It is a widely used engineering method (see protection application guides). IEC 60255 defines relay accuracy; the allowances for breaker time and overshoot come from the equipment data.

Does the margin apply at every current?

Check it at the maximum current that both relays see, and at any point where the curves come closest.

More in Protection & Relaying

← Back to all worked examples