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IEC 61869-39 min read

Worked Example: Selecting a Standard VA Rating That Keeps a VT Inside Its Accuracy Band

An 11 kV phase-to-earth VT feeding a relay and a meter — sized to a standard VA rating that keeps it loaded in the specific percentage window where accuracy class is actually guaranteed.

Scenario

System voltage11 kV, phase-to-earth connection, directly earthed neutral
Secondary voltage110 V (line convention)
BurdenProtection relay 5 VA + multifunction meter 3 VA = 8 VA total
Lead run30 m one-way, 2.5 mm² Cu, go-and-return loop

Step-by-step calculation

Step 1: Find the voltage factor for this earthing arrangement

A directly (solidly) earthed neutral system permits continuous operation at the standard 1.2x voltage factor — no fault-condition overvoltage margin beyond that is needed.

Step 2: Compute the rated primary and secondary voltages the VT actually sees

Up = Vline / √3 (phase-to-earth) Us = Vsecondary / √3
Up = 11 / 1.732 = 6.351 kV Us = 110 / 1.732 = 63.51 V
Up = 6.351 kV, Us = 63.51 V, turns ratio n = 100

Step 3: Sum the connected burden and select a standard VA rating

Total burden = sum of all connected devices
5 + 3
Total burden = 8 VA -> next standard size = 10 VA

Step 4: Check where the actual loading falls within the accuracy band

Accuracy class is only guaranteed within a specific loading window — too lightly loaded and error behavior isn't validated by the standard either.

Load% = burden / selected VA rating
8 / 10 x 100
Load = 80% — within the 25%-100% window where accuracy class is maintained

Step 5: Check the lead voltage drop

Vdrop = Ilead x Rlead, Ilead = burden / Us
Ilead = 8 / 63.51 = 0.126 A; Rlead = 0.42 Ω; Vdrop = 0.126 x 0.42
Vdrop = 0.053 V = 0.083% of Us — negligible

Result summary

CheckRequirementActualStatus
VT loading within accuracy-maintaining band25%–100% of rated VA80% of 10 VA✓ PASS
Lead voltage dropn/a (informational — should stay small)0.083%✓ PASS
A 10 VA standard VT rating keeps this 8 VA burden loaded at 80% — comfortably inside the 25-100% window where the stated accuracy class is actually guaranteed, with a negligible 0.083% lead voltage drop.

Key insight: Oversizing a VT's VA rating 'to be safe' can actually make accuracy worse, not better — a VT loaded well under 25% of its rated burden falls outside the range the accuracy class is validated for, the same way a VT overloaded above 100% does. The right target is comfortably inside that window, not simply as much headroom as possible.

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Frequently asked questions

Why would picking a 50 VA VT instead of 10 VA be a problem here?

The same 8 VA burden on a 50 VA-rated VT would only load it to 16% — below the 25% floor where the standard's accuracy class guarantee applies, meaning the VT's ratio and phase error at that light loading are technically unspecified by the accuracy class, even though nothing is being overloaded. Matching the standard VA rating reasonably closely to the actual expected burden, not just picking the largest available size, is what keeps the VT inside its guaranteed accuracy window.

What changes for an ungrounded or resistance-earthed system instead of solidly earthed?

The voltage factor increases substantially — from 1.2x continuous for a directly earthed system up to 1.9x for 8 hours on a resistance- or Petersen-coil-earthed system without automatic fault clearance, because the VT has to survive a sustained earth fault where the healthy phases rise toward full line-to-line voltage rather than being cleared quickly. This changes the VT's required insulation and thermal rating, not just its burden calculation.

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