Practical guides

Vector group, clock number, and paralleling

How IEC clock numbers and IEEE angular displacement describe transformer connections, and what must match before two units share a bus.

Engineering practice, not a certification. This page states established practice and names the public standards to obtain. It does not certify a product, a factory, or a supplier, and it is not a test report. Use the edition named in the contract. Questions: hello@transformerpath.com.

An IEC vector-group symbol has three parts. The capital letter is the high-voltage winding connection. The lowercase letter is the lower-voltage winding connection. The clock number is the phase displacement. D or d is delta. Y or y is star. Z or z is zigzag. N or n means the neutral of that winding is brought out. Dyn11 is a delta high-voltage winding, a star low-voltage winding with the neutral brought out, and clock number 11. IEC 60076-1 defines this notation and the clock convention.

The clock number multiplied by 30 degrees is the angle by which the lower-voltage voltage lags the high-voltage voltage. Clock 0 is in phase. Clock 1 is 30 degrees of lag. Clock 11 is 330 degrees of lag, which is 30 degrees of lead. The common distribution symbol Dyn11 and the common transmission symbol YNd1 are not the same displacement. They cannot be substituted because both contain the digit 1.

IEEE nameplates built to IEEE C57.12.00 commonly show a phasor diagram and an angular displacement in degrees rather than a clock number. Use the diagram on the plate you have. A conversion is safe only when you can point to the same two phasors on both drawings. A table copied from a different pair of windings, or from a tertiary, will be wrong.

The displacement comes from how the windings are seated on the core and how the terminals are labelled. It is not a setting in a relay. Changing it in the field means reterminating windings, which is a factory or a workshop operation with a new ratio test and a new diagram, not a link on a marshalling panel. Off-circuit links that choose between two factory-provided groups are a different matter: they exist only when the manufacturer provided them, and the plate lists both groups. Do not assume a link exists because a sister utility uses one.

The neutral brought out, the n in the symbol, is a construction fact. A star winding without the neutral brought out cannot be used as a four-wire distribution winding and cannot be earthed through a resistor at that winding. The inquiry has to say whether the neutral is required. A stabilizing tertiary, often delta, may be brought out to bushings or buried. A buried tertiary still affects zero-sequence behaviour and fault current. The single-line diagram should show it even when there is no external terminal.

Two transformers can be operated in parallel on both sides only when several conditions are true together. The frequency is the same. The rated voltage ratio is the same, or the tap positions make it the same within a tight band. The vector group has the same phase displacement, or a documented pair of groups that produce the same displacement with the terminals that will actually be joined. The percent impedance is close enough that the circulating current and the load share are acceptable. IEC 60076-1 gives impedance tolerances for a single unit. Those tolerances are not automatically tight enough for two units on one bus. If the units must share, the inquiry should say so and should state the existing unit's tested impedance, ratio, and group.

Polarity and terminal marking have to agree when the cables are made up. A correct group with H1 landed on H2 is a wiring error, not a nameplate error. The site ratio and polarity test, part of the checks in IEEE C57.152 and of ordinary commissioning against the factory report, is what catches it. Do not close the parallel breaker on the strength of the symbol printed in the inquiry. Close it on the test sheet that matches this serial number.

A small ratio difference drives a circulating current around the two transformers, through their impedances, even with no load on the bus. The current heats both units and uses thermal capacity. On-load tap changers that are not on the same tap, or not controlled by one master, will walk apart. The operating instruction should say who follows whom, and what happens when one changer reaches the end of its range. That instruction is an operating rule. It is not fixed by the vector group.

Impedance mismatch shares the load in inverse proportion to the impedances, for units on the same tap and the same ratio. The unit with the lower percent impedance takes more of the current. If one unit is 10 percent and the other is 15 percent at the same power base, the share is uneven. Put both impedances on the same power base before you compare them. The nameplate percent is quoted at its own rated power. A 20 MVA unit and a 40 MVA unit are not compared by reading the two percents as if the bases matched.

The vector group also says how zero-sequence current can flow. A delta winding is a short circuit to zero-sequence voltage inside the transformer and does not pass zero-sequence current to a star winding's external circuit in the way a star-star unit does. Earthing a star neutral, leaving it isolated, or earthing it through a resistor or a reactor changes the earth-fault current and the overvoltages on an uncleared fault. Those choices belong in the system study. The transformer can only provide the neutral the construction included.

A zigzag earthing transformer, often Zn0 or a similar symbol, is specified for earth-fault current and for a short-time rating, not for continuous load power. Do not read its nameplate power as if it were a distribution transformer that can carry that power continuously between phases. The inquiry should state the earth-fault current, the duration, and the continuous rating of any auxiliary winding.

On the drawing, confirm the letter, the clock or the angle, which winding has the tap changer, and which neutrals are bushings. On the factory report, confirm the measured voltage ratio on the principal tap and on the extreme taps, and the polarity or the phase relation that the test code requires. IEC 60076-1 includes the voltage-ratio and phase-displacement check among routine tests. IEEE C57.12.90 is the IEEE test code for the same class of measurement.

On site, repeat the ratio and the phase relation before energization, and compare the result with the factory sheet for this serial number, not with the sister unit. After transport, a ratio that has moved is a reason to stop. It can mean a wrong lead, a tap-changer position, or damage. Frequency-response analysis, under IEC 60076-18 with interpretation aided by IEEE C57.149, is the comparison tool for winding movement. Ratio and frequency response answer different questions. Do both when the contract or the transport justifies it. Do not use one as a substitute for the other.

Write the symbol, the standard, and the terminal notation in one sentence. For example: vector group Dyn11 to IEC 60076-1, with the low-voltage neutral brought out, terminal marking to the drawing. If the owner uses IEEE angular displacement, write the degrees and attach the required phasor diagram. If two units will share a bus, attach the existing nameplate and the tested impedance, and state the maximum circulating current you will accept at no load or the maximum impedance difference. Leave the manufacturer to propose a group only when the system study has not started. Once the system earthing and the existing units are known, the group is an owner decision.

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