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Positive Sequence 2W Transformer
This model is based on a two-winding transformer with on-load tap-changer and phase-shift. The definitions of parameters are listed in the table below.
Here is the formulation of the admittance matrix for this model:
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Y= \begin{bmatrix} Y_{11} & Y_{12} \\ Y_{21} & Y_{22} \\ \end{bmatrix} = \begin{bmatrix} \frac{Y_{sr}}{T^2}+Y_m & - \frac{Y_{sr}}{T \angle-\varphi} \\ - \frac{Y_{sr}}{T \angle \varphi} & Y_{sr} \\ \end{bmatrix} |
Where:
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Y_{sr}= \frac{1}{(RatioW2)^2 \times (R+jX_L)} |
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T=\frac{RatioW1}{RatioW2} |
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Parameters
Symbol | Description | Unit |
|---|---|---|
ID | Transformer name | a unique name |
Status | Connect/Disconnect status | Initial value 1 (0 for disconnected) |
From bus | Primary bus | a unique name |
To bus | Secondary bus | a unique name |
R (pu) | Resistance between primary bus and secondary bus | network p.u. |
Xl (pu) | Reactance between primary bus and secondary bus | network p.u. |
Gmag (pu) | Magnetization conductance | network p.u. |
Bmag (pu) | Magnetization Susceptance | network p.u. |
Ratio W1 (pu) | Primary off-nominal ratio | p.u. |
Ratio W2 (pu) | Secondary off-nominal ratio | p.u. |
Phase Shift (deg) | Between primary and secondary bus voltage | Degree |
Positive Sequence 3W Transformer
This model is a three-winding transformer with tap-changer and phase shift.
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Parameters
Symbol | Description | Unit |
|---|---|---|
ID | Transformer name | a unique name |
Status | Connect/Disconnect status | Initial value 1 (0 for disconnected) |
Bus1 | Primary bus | a unique name |
Bus2 | Secondary bus | a unique name |
Bus3 | Tertiary bus | a unique name |
R_12 (pu) | Resistance between primary bus and secondary bus | network p.u. |
Xl_12 (pu) | Reactance between primary bus and secondary bus | |
R_23 (pu) | Resistance between secondary bus and tertiary bus | |
Xl_23 (pu) | Resistance between secondary bus and tertiary bus | |
R_31 (pu) | Resistance between primary bus and tertiary bus | |
Xl_31 (pu) | Reactance between primary bus and tertiary bus | |
Gmag (pu) | Magnetization conductance | |
Bmag (pu) | Magnetization susceptance | |
Ratio W1 (pu) | Primary off-nominal ratio | p.u. |
Ratio W2 (pu) | Secondary off-nominal ratio | p.u. |
Ratio W3 (pu) | Tertiary off-nominal ratio | p.u. |
Phase Shift W1 (deg) | Phase shift of winding 1 | Degree |
Phase Shift W2 (deg) | Phase shift of winding 2 | Degree |
Phase Shift W3 (deg) | Phase shift of winding 3 | Degree |
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| color | #D3D3D3 |
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Notes:
All the impedance and admittance values are based on network MVA given in the General page and primary winding voltage base.
Phase shift on each winding is between +180 degrees to -180 degrees. It is positive if the primary winding voltage leads the secondary winding. The default value is 0.0.
The default values of Ratio W1, W2 and W3 are 1.0.
The direction of current measurement for all sides (Iang0, Iang1, and Iang2) is positive towards the transformer.
Available I/O Pins
No | Pin Description | Pin Type | Value/Unit | Instruction |
|---|---|---|---|---|
1 | Set/Get tap ratio of winding j | I/O | p.u. | transformerID/rWj where j is 1, 2 or 3 |
2 | Get current magnitude of winding j | O | p.u. (RMS, network base) | transformerID/Imagj where j is 0, 1 or 2 |
3 | Get current angle of winding j | O | Degree | transformerID/Iangj where j is 0, 1 or 2 |
Example
See
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the Transformer page in phasor01_IEEE39.
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xlsx file in
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ePHASORSIM example phasor01.
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