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Phase-Shifting Zigzag Transformer


In the phase-shifting transformer, the primary and tertiary windings are connected to form a zigzag. The phase shift is specified with respect to the reference winding.

Table of Contents

Mask and Parameters

Phase shift

General Parameters

DescriptionUse this field to add all kinds of information about the component
Base primary/secondary/tertiary winding voltage (rmsLL)

Base value for PU conversion (kV).

  • Voltage expressed in kV rms LL
  • This base voltage and nominal voltage will change, if the corresponding winding connection switches between delta and Y.
Base power (total)Base value for PU conversion (MVA)
Base frequencyBase value for PU conversion (Hz)

Magnetization Impedance Parameters

  • Rm: Equivalent resistance of iron losses of the magnetic circuit (Ω)
  • Lm: Magnetization inductance (H)

Winding Parameters

Secondary connection

Winding type

  • Y ground: Grounded Y connection (can use the internal neutral impedance specified in the other tab)
  • Y floating: Floating Y connection
  • Y neutral: Y connection with impedance connected at the input pin N1 or N2
  • Delta lead: Delta connection with lead of 30°
  • Delta ground: Grounded delta connection (Phase C is grounded)
  • Delta lag: Delta connection with lag of 30°
Voltage (rmsLL)

Rated voltage of the winding (kV)

  • Y connections: Voltage expressed in kV rms LL
  • Delta connections: Voltage expressed in kV rms LL
R1, R2, R3

Leakage resistance of the winding (Ω)

L1, L2, L3

Leakage resistance of the winding (H)

Zigzag Parameters

Phase shift

Amplitude of the phase shift with respect to the reference winding; must be positive (deg)
Voltage (rmsLL)Rated voltage of the zigzag winding (kV)
Voltage phase-shift type Direction of the phase shift with respect to the reference winding (None, Lagging, Leading)

Neutral Impedance Parameters

R2Neutral resistance of the secondary winding; only applies to Y ground (Ω)
L2Neutral inductance of the secondary winding; only applies to Y ground (H)

Neutral capacitance of the secondary winding; only applies to Y ground (F)

Ports, Inputs, Outputs and Signals Available for Monitoring


Net_1Primary winding connection (supports only 3-phase connections)
Net_2Secondary winding connection (supports only 3-phase connections)
Net_3Tertiary winding connection (supports only 3-phase connections)
Net_NNeutral connection for secondary winding (supports only 1-phase connections)


  • None


  • None


ILMAG(a,b,c)Magnetization current for each phase (A)
IPRIM(a,b,c)Primary current for each phase (A)
ISEC2(a,b,c)Secondary current for each phase (A)
ISEC3(a,b,c)Tertiary current for each phase (A)

Additional Information 

The secondary winding corresponds to the winding that does not have the zigzag connection. The zigzag winding is split in two parts: Z (primary) and Y (tertiary) according the following equations:[1]

The following example shows the use of the equations as well as the connection diagram of the transformer Zy with phase angle -7.5 degrees (see previous ZigZag parameters image where the transformer data is shown)

Base primary winding Voltage = 10.735 kV (rms LL), Base secondary winding Voltage = 693 V (rms LL), Base Tertiary winding Voltage = 639 V (rms LL):

The vector diagram of this transformer (referred to the ZigZag side) is shown in the following figure


[1] H.K. Hoidalen and R. Sporild, Using Zigzag Transformers with Phase-shift to reduce Harmonics in AC-DC Systems, International Conference on Power SystemsTransients (IPST’05) in Montreal, Canada on June 19-23, 2005

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