THREE PHASE
TRANSFORMERS
AND VECTOR
GROUPS
Lecture Notes by Dr.R.M.Larik 1
THREE PHASE TRANSFORMERS
➢ A three phase transformer has three sets of primary and secondary
windings.
➢ Depending upon how these sets of windings are interconnected, determines
whether the connection is a star or delta configuration.
➢ The available voltage which are each displaced from the other by 120
electrical degrees
H.W:- Advantages and disadvantages of core type construction
and shell type constructionLecture Notes by Dr.R.M.Larik 2
CONNECTIONS OF THREE PHASE TRANSFORMERS
➢ A three-phase transformer is made of three sets of
primary and secondary windings.
➢ Those sets of primary and secondary windings will be
connected in either Δ or Y configurations to form a
complete unit.
➢ Y connections provide the opportunity for multiple
voltages,
➢ while Δ connections enjoy a higher level of reliability
(if one winding fails open, the other two can still
maintain full line voltages to the load).
Primary - Secondary
Y - Y
Y - Δ
Δ - Y
Δ - Δ
Lecture Notes by Dr.R.M.Larik 3
Having both primary and secondary winding sets connected in “Y” formations
allows for the use of neutral conductors (N1 and N2) in each power system.
Lecture Notes by Dr.R.M.Larik 4
Such a configuration would allow for the provision of multiple
voltages (line-to-line or line-to-neutral)Lecture Notes by Dr.R.M.Larik 5
➢When there is no need for a neutral conductor in the secondary
power system, Δ-Δ connection schemes are preferred because of
the inherent reliability of the Δ configuration.
➢Considering that a Δ configuration can operate satisfactorily
missing one winding, some power system designers choose to
create a three-phase transformer bank with only two transformers,
representing a Δ-Δ configuration with a missing winding in both
the primary and secondary sides:Lecture Notes by Dr.R.M.Larik 6
Lecture Notes by Dr.R.M.Larik 7
Lecture Notes by Dr.R.M.Larik 8
Vector Group of Transformer
➢ The three phase transformer windings can be connected
several ways. Based on the windings’ connection, the vector
group of the transformer is determined.
➢ The transformer vector group is indicated on the Name Plate
of transformer by the manufacturer.
➢ The vector group provides a simple way of indicating how the
internal connections of a transformer are arranged.
➢ The vector group indicates the phase difference between the
primary and secondary sides, introduced due to that particular
configuration of transformer windings connection.
➢ The Determination of vector group of transformers is very
important before connecting two or more transformers in
parallel.
➢ If two transformers of different vector groups are connected in
parallel then phase difference exist between the secondary of
the transformers and large circulating current flows between
the two transformers which is very detrimental.
Lecture Notes by Dr.R.M.Larik 9
➢ The vector group is indicated by a code consisting
of two or three letters, followed by one or two
numeric digits. The letters indicate the winding
configuration as follows:
➢D or d: Delta winding, also called a mesh winding.
➢Y or y: Wye winding, (also called a star).
➢Z or z: Zigzag winding, or interconnected star
winding. Similar to a wye winding, but two
windings form each phase are arranged so that the
three legs are "bent" when the phase diagram is
drawn. Zigzag-wound transformers have special
characteristics and are not commonly used where
these characteristics are not needed.
Lecture Notes by Dr.R.M.Larik 10
Lecture Notes by Dr.R.M.Larik 11
Lecture Notes by Dr.R.M.Larik 12
ZIGZAG CONNECTION OF TRANSFORMER
➢The zigzag connection of tranformer is also called
the interconnected star connection.
➢ This connection has some of the features of the Y
and the ∆ connections, combining the advantages
of both.
➢The zigzag transformer contains six coils on three
cores.
➢Its applications are for the deviation of a neutral
connection from an ungrounded 3-phase system
and the grounding of that neutral to an earth
reference point and harmonics mitigation.
➢It can cancel triplet (3rd, 9th, 15th, 21st, etc.)
harmonic currents.
Lecture Notes by Dr.R.M.Larik 13
Lecture Notes by Dr.R.M.Larik 14
➢ The digits (0, 1, 11 etc) relate to the phase displacement between
the HV and LV windings using a clock face notation.
➢ The phasor representing the HV winding is taken as reference and
set at 12 o’clock.
➢ Phase rotation is always anti-clockwise. (International adopted).
➢ Use the hour indicator as the indicating phase displacement angle.
➢ Because there are 12 hours on a clock, and a circle consists out of
360°, each hour represents 30°.
➢ Thus 1 = 30°, 2 = 60°, 3 = 90°, 6 = 180° and 12 = 0° or 360°.
Example:
➢ Digit 0 =0° that the LV phasor is in phase with the HV phasor
➢ Digit 1 =30° lagging (LV lags HV with 30°)
➢ Digit 11 = 330° lagging or 30° leading (LV leads HV with 30°)
➢ Digit 5 = 150° lagging (LV lags HV with 150°)
➢ Digit 6 = 180° lagging (LV lags HV with 180°)
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Three phase transformer ( vector groups)

  • 1.
  • 2.
    THREE PHASE TRANSFORMERS ➢A three phase transformer has three sets of primary and secondary windings. ➢ Depending upon how these sets of windings are interconnected, determines whether the connection is a star or delta configuration. ➢ The available voltage which are each displaced from the other by 120 electrical degrees H.W:- Advantages and disadvantages of core type construction and shell type constructionLecture Notes by Dr.R.M.Larik 2
  • 3.
    CONNECTIONS OF THREEPHASE TRANSFORMERS ➢ A three-phase transformer is made of three sets of primary and secondary windings. ➢ Those sets of primary and secondary windings will be connected in either Δ or Y configurations to form a complete unit. ➢ Y connections provide the opportunity for multiple voltages, ➢ while Δ connections enjoy a higher level of reliability (if one winding fails open, the other two can still maintain full line voltages to the load). Primary - Secondary Y - Y Y - Δ Δ - Y Δ - Δ Lecture Notes by Dr.R.M.Larik 3
  • 4.
    Having both primaryand secondary winding sets connected in “Y” formations allows for the use of neutral conductors (N1 and N2) in each power system. Lecture Notes by Dr.R.M.Larik 4
  • 5.
    Such a configurationwould allow for the provision of multiple voltages (line-to-line or line-to-neutral)Lecture Notes by Dr.R.M.Larik 5
  • 6.
    ➢When there isno need for a neutral conductor in the secondary power system, Δ-Δ connection schemes are preferred because of the inherent reliability of the Δ configuration. ➢Considering that a Δ configuration can operate satisfactorily missing one winding, some power system designers choose to create a three-phase transformer bank with only two transformers, representing a Δ-Δ configuration with a missing winding in both the primary and secondary sides:Lecture Notes by Dr.R.M.Larik 6
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    Lecture Notes byDr.R.M.Larik 7
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    Lecture Notes byDr.R.M.Larik 8
  • 9.
    Vector Group ofTransformer ➢ The three phase transformer windings can be connected several ways. Based on the windings’ connection, the vector group of the transformer is determined. ➢ The transformer vector group is indicated on the Name Plate of transformer by the manufacturer. ➢ The vector group provides a simple way of indicating how the internal connections of a transformer are arranged. ➢ The vector group indicates the phase difference between the primary and secondary sides, introduced due to that particular configuration of transformer windings connection. ➢ The Determination of vector group of transformers is very important before connecting two or more transformers in parallel. ➢ If two transformers of different vector groups are connected in parallel then phase difference exist between the secondary of the transformers and large circulating current flows between the two transformers which is very detrimental. Lecture Notes by Dr.R.M.Larik 9
  • 10.
    ➢ The vectorgroup is indicated by a code consisting of two or three letters, followed by one or two numeric digits. The letters indicate the winding configuration as follows: ➢D or d: Delta winding, also called a mesh winding. ➢Y or y: Wye winding, (also called a star). ➢Z or z: Zigzag winding, or interconnected star winding. Similar to a wye winding, but two windings form each phase are arranged so that the three legs are "bent" when the phase diagram is drawn. Zigzag-wound transformers have special characteristics and are not commonly used where these characteristics are not needed. Lecture Notes by Dr.R.M.Larik 10
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    Lecture Notes byDr.R.M.Larik 11
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    Lecture Notes byDr.R.M.Larik 12
  • 13.
    ZIGZAG CONNECTION OFTRANSFORMER ➢The zigzag connection of tranformer is also called the interconnected star connection. ➢ This connection has some of the features of the Y and the ∆ connections, combining the advantages of both. ➢The zigzag transformer contains six coils on three cores. ➢Its applications are for the deviation of a neutral connection from an ungrounded 3-phase system and the grounding of that neutral to an earth reference point and harmonics mitigation. ➢It can cancel triplet (3rd, 9th, 15th, 21st, etc.) harmonic currents. Lecture Notes by Dr.R.M.Larik 13
  • 14.
    Lecture Notes byDr.R.M.Larik 14
  • 15.
    ➢ The digits(0, 1, 11 etc) relate to the phase displacement between the HV and LV windings using a clock face notation. ➢ The phasor representing the HV winding is taken as reference and set at 12 o’clock. ➢ Phase rotation is always anti-clockwise. (International adopted). ➢ Use the hour indicator as the indicating phase displacement angle. ➢ Because there are 12 hours on a clock, and a circle consists out of 360°, each hour represents 30°. ➢ Thus 1 = 30°, 2 = 60°, 3 = 90°, 6 = 180° and 12 = 0° or 360°. Example: ➢ Digit 0 =0° that the LV phasor is in phase with the HV phasor ➢ Digit 1 =30° lagging (LV lags HV with 30°) ➢ Digit 11 = 330° lagging or 30° leading (LV leads HV with 30°) ➢ Digit 5 = 150° lagging (LV lags HV with 150°) ➢ Digit 6 = 180° lagging (LV lags HV with 180°) Lecture Notes by Dr.R.M.Larik 15
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