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Phase-Shifting Transformer

12-pulse, 18-pulse, 24-pulse, or 48-pulse phase-shifting transformer

Since R2024a

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  • Phase-Shifting Transformer block

Libraries:
Simscape / Electrical / Passive / Transformers

Description

The Phase-Shifting Transformer block represents a 12-pulse, 18-pulse, 24-pulse, or 48-pulse phase-shifting transformer. Phase-shifting transformers are used in multi-pulse rectifiers in high-power and variable-load applications.

To select between a 12-pulse, 18-pulse, 24-pulse, or 48-pulse transformer, set the Number of pulses parameter to:

  • 12-pulse — The transformer generates two different three-phase voltages with a phase shift of 30 degrees from each other.

  • 18-pulse — The transformer generates three different three-phase voltages with a phase shift of 20 degrees from each other.

  • 24-pulse — The transformer generates four different three-phase voltages with a phase shift of 15 degrees from each other.

  • 48-pulse — The transformer generates eight different three-phase voltages with a phase shift of 7.5 degrees from each other.

12-Pulse Transformer

Since R2024b

The 12-pulse transformer generates two different three-phase voltages with a 30 degree phase shift from each other at its secondary side:

  • The phase angle of the three-phase voltage at the ~2 port leads the phase angle of the three-phase voltage at the ~3 port by 30 degrees.

  • The phase angle of the three-phase voltage of the port at the primary side, ~1, lags the phase angle of the three-phase voltage at the ~2 port by 15 degrees.

18-Pulse Transformer

The 18-pulse transformer generates three different three-phase voltages with a 20 degree phase shift from each other at its secondary side:

  • The phase angle of the three-phase voltage at the ~2 port leads the phase angle of the three-phase voltage at the ~3 port by 20 degrees.

  • The phase angle of the three-phase voltage at the ~3 port leads the phase angle of the three-phase voltage at the ~4 port by 20 degrees.

  • The phase angle of the three-phase voltage at the ~3 port is the same as the phase angle of the three-phase voltage of the port at the primary side, ~1.

24-Pulse Transformer

The 24-pulse transformer generates four different three-phase voltages with a 15 degree phase shift from each other at its secondary side:

  • The phase angle of the three-phase voltage at the ~2 port leads the phase angle of the three-phase voltage at the ~3 port by 15 degrees.

  • The phase angle of the three-phase voltage at the ~3 port leads the phase angle of the three-phase voltage at the ~4 port by 15 degrees.

  • The phase angle of the three-phase voltage at the ~4 port leads the phase angle of the three-phase voltage at the ~5 port by 15 degrees.

  • The phase angle of the three-phase voltage of the port at the primary side, ~1, lags the phase angle of the three-phase voltage at the ~3 port by 7.5 degrees.

48-Pulse Transformer

Since R2024b

The 48-pulse transformer generates eight different three-phase voltages with a 7.5 degree phase shift from each other at its secondary side:

  • The phase angle of the three-phase voltage at the ~2 port leads the phase angle of the three-phase voltage at the ~3 port by 7.5 degrees.

  • The phase angle of the three-phase voltage at the ~3 port leads the phase angle of the three-phase voltage at the ~4 port by 7.5 degrees.

  • The phase angle of the three-phase voltage at the ~4 port leads the phase angle of the three-phase voltage at the ~5 port by 7.5 degrees.

  • The phase angle of the three-phase voltage at the ~5 port leads the phase angle of the three-phase voltage at the ~6 port by 7.5 degrees.

  • The phase angle of the three-phase voltage at the ~6 port leads the phase angle of the three-phase voltage at the ~7 port by 7.5 degrees.

  • The phase angle of the three-phase voltage at the ~7 port leads the phase angle of the three-phase voltage at the ~8 port by 7.5 degrees.

  • The phase angle of the three-phase voltage at the ~8 port leads the phase angle of the three-phase voltage at the ~9 port by 7.5 degrees.

  • The phase angle of the three-phase voltage of the port at the primary side, ~1, lags the phase angle of the three-phase voltage at the ~5 port by 3.75 degrees.

Variables

To set the priority and initial target values for the block variables before simulation, use the Initial Targets section in the block dialog box or Property Inspector. For more information, see Set Priority and Initial Target for Block Variables.

Nominal values provide a way to specify the expected magnitude of a variable in a model. Using system scaling based on nominal values increases the simulation robustness. You can specify nominal values using different sources, including the Nominal Values section in the block dialog box or Property Inspector. For more information, see System Scaling by Nominal Values.

Examples

New
Model 18-Pulse Diode Rectifier

Model 18-Pulse Diode Rectifier

Model an 18-pulse diode rectifier to reduce the line current harmonics.

New
Model 24-Pulse Diode Rectifier

Model 24-Pulse Diode Rectifier

Model a 24-pulse diode rectifier to reduce the line current harmonics.

Ports

Conserving

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Electrical conserving port associated with the primary winding.

Electrical conserving port associated with the first secondary winding.

Electrical conserving port associated with the second secondary winding.

Electrical conserving port associated with the third secondary winding.

Dependencies

To enable this port, set Number of pulses parameter to 18-pulse, 24-pulse, or 48-pulse.

Electrical conserving port associated with the fourth secondary winding.

Dependencies

To enable this port, set Number of pulses parameter to 24-pulse or 48-pulse.

Since R2024b

Electrical conserving port associated with the fifth secondary winding.

Dependencies

To enable this port, set Number of pulses parameter to 48-pulse.

Since R2024b

Electrical conserving port associated with the sixth secondary winding.

Dependencies

To enable this port, set Number of pulses parameter to 48-pulse.

Since R2024b

Electrical conserving port associated with the seventh secondary winding.

Dependencies

To enable this port, set Number of pulses parameter to 48-pulse.

Since R2024b

Electrical conserving port associated with the eighth secondary winding.

Dependencies

To enable this port, set Number of pulses parameter to 48-pulse.

Parameters

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To edit block parameters interactively, use the Property Inspector. From the Simulink® Toolstrip, on the Simulation tab, in the Prepare gallery, select Property Inspector.

Number of pulses of the transformer:

  • 12-pulse — The transformer generates two different three-phase voltages with a phase shift of 30 degrees from each other. (since R2024b)

  • 18-pulse — The transformer generates three different three-phase voltages with a phase shift of 20 degrees from each other.

  • 24-pulse — The transformer generates four different three-phase voltages with a phase shift of 15 degrees from each other.

  • 48-pulse — The transformer generates eight different three-phase voltages with a phase shift of 7.5 degrees from each other. (since R2024b)

Apparent power that flows through the transformer when it operates at the rated capacity.

Rated or nominal frequency of the AC network to which the transformer connects.

Root-mean-square line voltage that the block applies to the primary winding under normal operating conditions.

Per-unit power loss in the primary winding.

Per-unit magnetic flux loss in the primary winding.

Per-unit power loss in the secondary windings.

Per-unit magnetic flux loss in the first secondary windings.

Per-unit losses in the transformer core.

Per-unit magnetic effects of the transformer core.

References

[1] F. J. M. de Seixas and I. Barbi, A 12 kW three-phase low THD rectifier with high-frequency isolation and regulated DC output. IEEE Transactions on Power Electronics, vol. 19, no. 2, pp. 371-377, March 2004, doi: 10.1109/TPEL.2003.823201.

[2] Singh, Bhim & Gairola, S. A Zigzag Connected Auto-Transformer Based 24-Pulse AC-DC Converter. Journal of Electrical Engineering and Technology. 3. 235-242, 2008, 10.5370/JEET.2008.3.2.235.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2024a

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See Also

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