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Zigzag-Delta-Wye Transformer

Linear, non-ideal zigzag-delta-wye transformer with three-limb core with saturation capability

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  • Zigzag-Delta-Wye Transformer block

Description

The Zigzag-Delta-Wye Transformer block models a linear, nonideal transformer with a three-limb core that has primary zigzag windings and secondary delta, wye, or delta and wye windings. You can specify the phase offset between the zigzag and wye windings using the Wye secondary phase shift parameter and parameterize the block impedance using per-unit values. The block includes effects for linear winding leakage and linear core magnetization.

The configuration options for the delta winding types are:

  • Delta 1 o'clock — Mesh configuration with a lagging 30-degree phase shift relative to the voltage of a connected wye configuration

  • Delta 11 o'clock — Mesh configuration with leading 30-degree phase shift relative to the voltage of a connected wye configuration

These equivalent circuit diagrams show the zigzag-delta-wye transformer in the delta 1 o'clock and delta 11 o'clock configurations, respectively.

In these diagrams:

  • Rw1 is the primary winding resistance.

  • Ll1 is the primary leakage reactance.

  • Rw2 is the delta secondary winding resistance.

  • Ll2 is the delta secondary leakage reactance.

  • Rw3 is the wye secondary winding resistance.

  • Ll3 is the wye secondary leakage reactance.

  • Rm is the shunt magnetizing resistance.

  • Lm is the shunt magnetizing reactance.

Variables

Use the Variables settings to specify the priority and initial target values for the block variables before simulation. For more information, see Set Priority and Initial Target for Block Variables.

To enable the Wye secondary currents variable, set Secondary connection to Wye or Wye and Delta.

To enable the Delta secondary currents variable, set Secondary connection to Delta or Wye and Delta.

Ports

Conserving

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Expandable three-phase electrical conserving port associated with the three-phase, [a1 b1 c1], voltage of the primary winding.

Expandable three-phase electrical conserving port associated with the three-phase, [a2 b2 c2], voltage of the first secondary winding.

Dependencies

To enable this port, set Secondary connection to Delta or Wye and Delta.

Expandable three-phase electrical conserving port associated with the three-phase, [a3 b3 c3], voltage of the second secondary winding.

Dependencies

To enable this port, set Secondary connection to Wye or Wye and Delta.

Electrical conserving port associated with the wye secondary winding neutral point.

Electrical conserving port associated with the interconnection of the zigzag winding.

Dependencies

To enable this port, set Zigzag configuration to Accessible winding interconnects.

Parameters

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Main

Apparent power flowing through the transformer when operating at rated capacity, in V*A.

Rated or nominal frequency of the AC network to which the transformer is connected, in Hz. The value must be greater than 0.

RMS line voltage applied to the primary winding under normal operating conditions, in V. The value must be greater than 0.

Configuration of zigzag winding.

Configuration of the secondary connection.

Type of delta connection.

Dependencies

To enable this parameter, set Secondary connection to Delta or Wye and Delta.

RMS line voltage applied to the delta secondary winding under normal operating conditions, in V. The value must be greater than 0.

Dependencies

To enable this parameter, set Secondary connection to Delta or Wye and Delta.

RMS line voltage applied to the wye secondary winding under normal operating conditions, in V. The value must be greater than 0.

Dependencies

To enable this parameter, set Secondary connection to Wye or Wye and Delta.

Phase offset between the zigzag and the secondary windings.

Impedances

Per-unit power loss in the primary winding. The value must be greater than 0.

Per-unit magnetic flux loss in the primary winding. The value must be greater than 0.

Per-unit power loss in the delta secondary winding. The value must be greater than 0.

Dependencies

To enable this parameter, set Secondary connection to Delta or Wye and Delta.

Per-unit magnetic flux loss in the delta secondary winding. The value must be greater than 0.

Dependencies

To enable this parameter, set Secondary connection to Delta or Wye and Delta.

Per-unit power loss in the wye secondary winding. The value must be greater than 0.

Dependencies

To enable this parameter, set Secondary connection to Wye or Wye and Delta.

Per-unit magnetic flux loss in the wye secondary winding. The value must be greater than 0.

Dependencies

To enable this parameter, set Secondary connection to Wye or Wye and Delta.

Per-unit magnetic losses in the transformer core. The value must be greater than 0.

Choose if and how you want to represent the magnetic saturation.

Per unit vector of currents. The first value must be 0. This parameter must be strictly ascending.

Dependencies

This parameter is visible only when you set the Magnetic saturation representation parameter to Lookup table (phi versus i).

Per unit vector of magnetic flux. The first value must be 0. This parameter must be strictly ascending.

Dependencies

This parameter is visible only when you set the Magnetic saturation representation parameter to Lookup table (phi versus i).

Per-unit magnetic effects of the transformer core when operating in its linear region. The value must be greater than 0.

Dependencies

This parameter is visible only when you set the Magnetic saturation representation parameter to None.

Extended Capabilities

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

Introduced in R2019b