Transformer Routine Test – Measurement of Voltage Ratio and Check of Phase Displacement
Transformer Routine Test – Measurement of Voltage Ratio and Check of Phase Displacement (on photo: OSB laboratory of BEST Transformers)


The no-load voltage ratio between two windings of a transformer is called turn ratio.

The aim of measurement is: Confirming the no-load voltage ratio given in the customer order specifications, determining the conditions of both the windings and the connections and examining the problems (if any).

The measurements are made at all tap positions and all phases.

Measurement circuit and performing the measurement

1. Turn Ratio Measurement

The turn ratio measurement can be made using two different methods:

  1. Bridge method
  2. By measuring the voltage ratios of the windings

1. Bridge method

Measurement of turn ratio is based on, applying a phase voltage to one of the windings using a bridge (equipment) and measuring the ratio of the induced voltage at the bridge.

The measurements are repeated in all phases and at all tap positions, sequentially.

During measurement, only turn ratio between the winding couples which have the same magnetic flux can be measured, which means the turn ratio between the winding couples which have the parallel vectors in the vector diagram can be measured. (Figures 2.1, 2.2, 2.3).

In general, the measuring voltage is 220 V a.c. 50 Hz. However, equipment which have other voltage levels can also be used. The accuracy of the measuring instrument is ≤ ±0,1%.

Bridge connection for measuring the turn ratio
Figure 1-1 – Bridge connection for measuring the turn ratio

1 – Transformer under test
2 – Transformer with adjustable range (standard)
3 – Zero position indicator
U1 – Applied voltage to the bridge and HV winding (220 V, 50 Hz)
U2 – Induced voltage at the LV winding

Theoretical turn ratio = HV winding voltage / LV winding voltage

The theoretical no-load turn ratio of the transformer is adjusted on the equipment by an adjustable transformer, it is changed until a balance occurs on the % error indicator.

The value read on this error indicator shows the deviaton of the transformer from real turn ratio as %.

Deviaton of the transformer from real turn ratio

2. By measuring the voltage ratios of the windings

The voltages at the winding couples to be measured, can be measured at the same time and the ratio can be determined, or digital instruments which are manufactured for this purpose can be used in the voltage ratio measurement method.

By using such instruments, in addition to measuring the turn ratio, also determining the connection group (with three phase measuring instrument) and measuring the currents during measurement are also possible.

The method of comparing the vector couple voltages also allows measuring the angle (phase slip) between vectors at the same time.

2. Determining the Connection Group

Depending on the type of the transformer, the input and output windings of a multi-phase transformer are connected either as star ( Y ) or delta ( D ) or zigzag ( Z ). The phase angle between the high voltage and the low voltage windings varies between 0° and 360° .

Representing as vectors, the HV winding is represented as 12 (0) hour and the other windings of the connection group are represented by other numbers of the clock in reference to the real or virtual point.

For example, in Dyn 11 connection group the HV winding is delta and the LV winding is star and there is a phase difference of 330° (11×30°) between two windings. While the HV end shows 12 (0), the LV end shows 11 o’clock (after 330°).

Determining the connection (vector) group is valid only in three phase transformers. The high voltage winding is shown first (as reference) and the other windings follow it.

If the vector directions of the connection are correct, the bridge can be balanced.

Also, checking the connection group or polarity is possible by using a voltmeter. Direct current or alternating current can be used for this check. The connections about the alternating current method are detailed in standards. An example of this method is shown on a vector diagram below.

The no-load deviation of the turn ratios should be ≤ % 0,5 .

Figure 1-2 - Connection group representation and measuring
Figure 1-2 – Connection group representation and measuring

The order of the measurements:

1) 3 phase voltage is applied to ABC phases
2) Voltage between phases (e.g. AC) is measured
3) A short circuit is made between C and n
4) Voltage between B and b’ is measured
5) Voltage between A and c’ is measured

As seen from the vector diagram, in order to be Dyn 11 group , A.c’ > AB > B.b’ correlation has to realized.

Taking the other phases as reference for starting, same principles can be used and also for determining the other connection groups, same principles will be helpful.

Some of the connection groups according to IEC 60076-1 standard
Figure 2.3 – Some of the connection groups according to IEC 60076-1 standard


About Author //


Edvard Csanyi

Edvard - Electrical engineer, programmer and founder of EEP. Highly specialized for design of LV high power busbar trunking (<6300A) in power substations, buildings and industry fascilities. Designing of LV/MV switchgears.Professional in AutoCAD programming and web-design.Present on


  1. Hamed
    Apr 24, 2015

    I am searching for 13.8kV/400V for 60Hz transformer any body has clue where I can get some information?

  2. abelardo valdez
    Jun 06, 2014

    The 59.4 is calculated from13800/231(phase to neutral).

  3. […] are present due to taps taken from the windings they can be labeled as a3, a4, a5, a6. It is the voltage rising from smaller number towards larger ones in each winding. The same thing holds good if more […]

  4. yousafali15
    Jul 03, 2013

    Hello Sir;

    i am Testing One Transformer for Turn ratio, its 13.8KV/400v.
    DYn11, while testing with TTR it gives me the ratio 59.xx while in FAT it is 34.5, root (3) ?
    i am connecting Three Wire on HV side while 4 wire on LV side since it is DY, putting HV as 13800 and LV as 400V in the device while testing.
    Can you tell me how can i get result the same as in FAT. 34.5 instead of 59.4

    What can be the possible

    • emadmonr
      Sep 22, 2013

      it seems that u entered the vector group DYn11 by mistake as YnD11

  5. jeewangarg
    May 03, 2013

    How much is the total loss in a transformer ( onload & without load )

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