Three-phase three winding free configurable transformer#
Block appearance in REPEAT VISION#
The Three-phase three winding free configurable transformer block is a model of a three-phase three-winding transformer assembled from three single-phase three-winding transformers.
An important feature of this model is the ability to set an arbitrary configuration of the connection of the transformer windings.
The model has various ways of model parameters:
SI system. In this case, parameters of the primary, secondary and tertiary windings are set separately: rated phase voltages, [V], resistance, [Ohm] and inductance, [H].
Important
The transformation ratio is calculated from phase voltages.
If windings are connected in the same circuit, then the ratio of phase voltages will be equal to the ratio of linear. In this case, if circuits are different, it is necessary to convert from linear to phase values. An example of such conversion is given in the table below.
Winding connection method (primary-secondary) |
Transformation ratio |
|---|---|
Star-Star-Star |
K\(_1\)=\(\frac{U_{2ном Ф}}{U_{1ном Ф}}\)=\(\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{\sqrt {3}}{U_{1ном}}=\frac{U_{2ном}}{U_{1ном}};\) |
Star-Triangle I-Star |
K\(_1\)=\(\frac{U_{2ном Ф}}{U_{1ном Ф}}\)=\(\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{1}{U_{1ном}}=\frac{U_{2ном}}{\sqrt {3} \cdot U_{1ном}};\) |
Star-Star-Triangle I |
K\(_1\)=\(\frac{U_{2ном Ф}}{U_{1ном Ф}}\)=\(\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{\sqrt {3}}{U_{1ном}}=\frac{U_{2ном}}{U_{1ном}};\) |
Relative units. The calculation procedure for this case is described in the corresponding article.
Important
Additional parameters have been entered in this block: base strains.
They are used to calculate basic values when transferring from relative units to SI system. The strains specified in winding parameters shall be phase (or linear in case of the same methods of connection of the primary and secondary windings), since they are used to calculate the transformation ratios.
Catalog data. The calculation procedure for this case is described in the article.
Important
Additional parameters have been entered in this block: base strains.
They are used to calculate basic values when transferring from relative units (in which the calculation is initially made from catalog parameters) to SI system. The strains specified as nominal shall be phase (or linear in case of the same methods of connection of the windings), since they are used to calculate the transformation ratios.
1. Properties#
Property |
Default Value |
Description |
Units of measurement |
|---|---|---|---|
Method of specifying model parameters: |
SI |
- |
- |
Primary winding parameters, U\(_{1ф}\); R\(_1\); L\(_1\) |
230000.0;4.3218;0.45856; |
Available, when |
V; Ohm; H |
Secondary winding parameters, U\(_{2ф}\); R\(_2\); L\(_2\) |
115000.0;0.7938;0.084225; |
Available, when |
V; Ohm; H |
Tertiary winding parameters, U\(_{3ф}\); R\(_3\); L\(_3\) |
35000.0;0.7938;0.084225; |
Available, when |
V; Ohm; H |
Magnetizing branch parameters, R\(_m\); L\(_m\) |
1080400.0;2866.0; |
Available, when |
Ohm; H |
Nominal power |
2.5e8 |
Available, when |
VA |
Nominal frequency |
50.0 |
Available, when |
Hz |
Primary winding parameters, U\(_{1ф}\); R\(_1\); L\(_1\) |
230000.0;0.02;0.68; |
Available, when |
V; r.u.; r.u. |
Secondary winding parameters, U\(_{2ф}\); R\(_2\); L\(_2\) |
115000.0;0.02;0.68; |
Available, when |
V; r.u.; r.u. |
Tertiary winding parameters, U\(_{3ф}\); R\(_3\); L\(_3\) |
35000.0;0.02;0.68; |
Available, when |
V; r.u.; r.u. |
Magnetizing branch parameters, R\(_m\); L\(_m\) |
500.0;500.0; |
- |
r.u; r.u. |
Nominal voltage of primary winding |
230000.0 |
Available, when |
V |
Nominal voltage of secondary winding |
115000.0 |
Available, when |
V |
Nominal voltage of tertiary winding |
115000.0 |
Available, when |
V |
Nominal HV - LV short-circuit losses |
35000.0 |
Available, when |
W |
Nominal HV -MV short-circuit losses |
35000.0 |
Available, when |
W |
Nominal HV - LV short-circuit losses |
35000.0 |
Available, when |
W |
Nominal HV - LV impedance voltage |
10.5 |
Available, when |
% |
Nominal HV - MV impedance voltage |
10.5 |
Available, when |
% |
Nominal MV - LV impedance voltage |
10.5 |
Available, when |
% |
Nominal no load losses |
10000.0 |
Available, when |
W |
Nominal no load current |
0.5 |
Available, when |
% |
Initial currents of phase A windings, I\(_{1А}\); I\(_{2А}\); I\(_{3А}\) |
0.0;0.0;0.0; |
- |
А |
Initial currents of phase B windings, I\(_{1B}\); I\(_{2B}\); I\(_{3B}\) |
0.0;0.0;0.0; |
- |
А |
Initial currents of phase C windings, I\(_{1C}\); I\(_{2C}\); I\(_{3C}\) |
0.0;0.0;0.0; |
- |
А |
Initial values of phase A magnetization branch current and voltage, I\(_{MА}\); U\(_{MА}\) |
0.0;0.0; |
- |
А; V |
Initial values of phase B magnetization branch current and voltage, I\(_{MB}\); U\(_{MB}\) |
0.0;0.0; |
- |
А; V |
Initial values of phase C magnetization branch current and voltage, I\(_{MC}\); U\(_{MC}\) |
0.0;0.0; |
- |
А; V |
Base voltage of primary winding |
230000.0 |
Available, when |
V |
Base voltage of secondary winding |
115000.0 |
Available, when |
V |
Base voltage of tertiary winding |
35000.0 |
Available, when |
V |
2. Inputs and outputs#
Parameters |
Input/Output |
Description |
Units of measurement |
Port type |
|---|---|---|---|---|
А |
Input |
- |
- |
Electronics |
X |
Output |
- |
- |
Electronics |
B |
Input |
- |
- |
Electronics |
Y |
Output |
- |
- |
Electronics |
C |
Input |
- |
- |
Electronics |
Z |
Output |
- |
- |
Electronics |
x\(_2\) |
Output |
- |
- |
Electronics |
a\(_2\) |
Input |
- |
- |
Electronics |
y\(_2\) |
Output |
- |
- |
Electronics |
b\(_2\) |
Input |
- |
- |
Electronics |
z\(_2\) |
Output |
- |
- |
Electronics |
c\(_2\) |
Input |
- |
- |
Electronics |
x\(_3\) |
Output |
- |
- |
Electronics |
a\(_3\) |
Input |
- |
- |
Electronics |
y\(_3\) |
Output |
- |
- |
Electronics |
b\(_3\) |
Input |
- |
- |
Electronics |
z\(_3\) |
Output |
- |
- |
Electronics |
c\(_3\) |
Input |
- |
- |
Electronics |
In order to see the connection capabilities of the block, you need to go to page Description of block ports