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IEC 61869-29 min read

Worked Example: Does a 150 V Knee-Point CT Have Enough Margin for ALF 20?

A 400/1 A protection CT with a 150 V knee point, checked against the required knee-point voltage for its stated accuracy limit factor β€” and what happens to its output once the fault current exceeds that limit.

Scenario

CT ratio400 : 1 A
Required accuracy limit factor (ALF)20
Knee-point voltage (nameplate)150 V
CT secondary winding resistance2.5 Ξ©
BurdenProtection relay, 2.5 VA
Lead run20 m one-way, 2.5 mmΒ² Cu, go-and-return loop

Step-by-step calculation

Step 1: Compute lead resistance and total burden resistance

Rlead = ρ x return factor x L / A Rrelay = VA / Isecondary²
Rlead = 0.0175 x 2 x 20 / 2.5 = 0.28 Ξ© Rrelay = 2.5 / 1Β² = 2.5 Ξ©
Rb = Rlead + Rrelay = 2.78 Ξ©

Step 2: Compute the required knee-point voltage for ALF 20

Vk(required) = ALF x Is x (Rct + Rb)
20 x 1 x (2.5 + 2.78)
Vk(required) = 105.6 V

Step 3: Compare against the CT's actual knee-point voltage

Vk(actual) β‰₯ Vk(required)?
150 V β‰₯ 105.6 V
Passes, with about 42% margin

Step 4: Find the CT's actual achievable ALF at this burden

ALF(actual) = Vk(actual) / [Is x (Rct + Rb)]
150 / [1 x (2.5 + 2.78)]
ALF(actual) = 28.4 β€” this CT can actually support up to about 28.4x rated current before saturating at this burden

Step 5: See what happens to secondary output beyond the ALF

The fault-current table sweeps multiples of rated primary current and caps the ideal (linear) secondary output at the rated ALF, showing where the CT's output stops faithfully following the primary current.

Fault multiplePrimary currentIdeal secondary (linear)Actual output at ALF cap
20x (rated ALF)8000 A20 A20 A β€” still linear
50x20,000 A50 A20 A β€” capped, CT has saturated

Result summary

CheckRequirementActualStatus
Knee-point voltage vs. required for ALF 20β‰₯ 105.6 V150 Vβœ“ PASS
Actual achievable ALF at this burdenn/a (informational)28.4βœ“ PASS
This CT comfortably supports its stated ALF 20 requirement, with enough real margin (actual ALF β‰ˆ 28.4) to still deliver a faithful secondary current up to about 28 times rated primary current before saturating β€” beyond that, at 50x rated current in this example, the output simply flattens at 20 A instead of continuing to rise.

Key insight: A CT's accuracy limit factor isn't a hard cutoff where the CT stops working β€” it's the point beyond which the secondary current stops accurately representing the primary current because the core saturates. A protection relay that needs to see the true fault current magnitude at very high multiples (not just detect that a fault occurred) needs a CT with enough real margin above the fault current it will actually see, not just enough to clear the nameplate ALF requirement.

Try it with your own numbers

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Frequently asked questions

Why does lead length matter so much for CT accuracy?

Lead resistance adds directly to the total secondary burden the CT has to drive, and burden is one of the two terms (along with CT winding resistance) that determines the required knee-point voltage β€” a longer or thinner lead run increases Rb, which increases the required Vk for the same ALF, meaning a CT that comfortably meets its accuracy requirement with short leads can fail to meet it if installed with a long lead run to a distant relay panel.

What would happen if the relay actually needed to see fault current at 50x rated?

With this CT's actual achievable ALF of about 28.4, secondary output saturates well before reaching 50x β€” the relay would see a current signal that plateaus around 20 A regardless of how much larger the actual primary fault current becomes, which could cause a protection scheme relying on accurate magnitude (like some differential or distance protection) to misoperate. This is exactly why the required ALF should be chosen based on the actual maximum fault current the CT needs to represent faithfully, with margin, not just a generic default value.

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