Three-phase two winding free configurable transformer#

The Three-phase two winding free configurable transformer block is a model of a three phase transformer assembled from three single phase transformers.

An important feature of this model is the ability to set an arbitrary configuration of the connection of the transformer windings.

Setting model parameters is possible in three ways:

SI system. In this case, parameters of the primary and secondary windings are set separately: rated phase voltages, [V], resistance, [Ohm] and inductance, [H].

Important

The transformation ratio is calculated from phase voltages.

If primary and secondary 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	K=$\frac{U_{2ном Ф}}{U_{1ном Ф}}$=$\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{\sqrt {3}}{U_{1ном}}=\frac{U_{2ном}}{U_{1ном}}$
Star-Triangle I	K=$\frac{U_{2ном Ф}}{U_{1ном Ф}}$=$\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{1}{U_{1ном}}=\frac{U_{2ном}}{\sqrt {3} \cdot U_{1ном}}$
Star-Triangle II	K=$\frac{U_{2ном Ф}}{U_{1ном Ф}}$=$\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{1}{U_{1ном}}=\frac{U_{2ном}}{\sqrt {3} \cdot U_{1ном}}$

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 primary and secondary 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; PU; Specification	SI	-	-
Primary winding parameters, U$_{1ph}$; R$_1$; L$_1$	230000.0;4.3218;0.45856;	Available, when `Method of specifying model parameters` - `SI`	V, Ohm, H
Secondary winding parameters, U$_{2ph}$, R$_2$, L$_2$	115000.0;0.7938;0.084225;	Available, when `Method of specifying model parameters` - `SI`	V, Ohm, H
Magnetizing branch parameters, R$_m$, L$_m$	1080400.0;2866.0;	Available, when `Method of specifying model parameters` - `SI`	Ohm, H
Nominal power	2.5е8	Available, when `Method of specifying model parameters` - `PU` or `Specification`	VA
Nominal frequency	50.0	Available, when `Method of specifying model parameters` - `PU` or `Specification`	Hz
Primary winding parameters, U$_{1ph}$, R$_1$, L$_1$	230000.0;0.02;0.68;	Available, when `Method of specifying model parameters` - `PU`	V; r.u.; r.u.
Secondary winding parameters, U$_{2ph}$, R$_2$, L$_2$	115000.0;0.02;0.68;	Available, when `Method of specifying model parameters` - `PU`	V; r.u.; r.u.
Magnetizing branch parameters, R$_m$, L$_m$	500.0;500.0;	Available, when `Method of specifying model parameters` - `PU`	r.u.; r.u.
Nominal voltage of primary winding	230000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Nominal voltage of secondary winding	115000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Base voltage of primary winding	230000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Base voltage of secondary winding	115000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Nominal short circuit losses	35000.0	Available, when `Method of specifying model parameters` - `Specification`	W
Nominal impedance voltage	10.5	Available, when `Method of specifying model parameters` - `Specification`	%
Nominal no load losses	10000.0	Available, when `Method of specifying model parameters` - `Specification`	W
Nominal no load current	0.5	Available, when `Method of specifying model parameters` - `Specification`	%
Initial values of phase A windings currents, I$_{1A}$, I$_{2A}$	0.0;0.0;	-	A
Initial values of phase B windings currents, I$_{1B}$, I$_{2B}	0.0;0.0;	-	A
Initial values of phase C windings currents, I$_{1C}$, I$_{2C}$	0.0;0.0;	-	A
Initial values of phase A magnetization branch current and voltage, I$_{MA}$, U$_{MA}$	0.0;0.0;	-	A; V
Initial values of phase B magnetization branch current and voltage, I$_{MB}$, U$_{MB}$	0.0;0.0;	-	A; V
Initial values of phase C magnetization branch current and voltage, I$_{MC}$, U$_{MC}$	0.0;0.0;	-	A; V

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
A	Input	-	-	Electronics
a	Output	-	-	Electronics
B	Input	-	-	Electronics
b	Output	-	-	Electronics
C	Input	-	-	Electronics
c	Output	-	-	Electronics
x	Output	-	-	Electronics
X	Input	-	-	Electronics
y	Output	-	-	Electronics
Y	Input	-	-	Electronics
z	Output	-	-	Electronics
Z	Input	-	-	Electronics

In order to see the connection capabilities of the block, you need to go to page Description of block ports

Winding connection method (primary-secondary)	Transformation ratio
Star-Star	K=\(\frac{U_{2ном Ф}}{U_{1ном Ф}}\)=\(\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{\sqrt {3}}{U_{1ном}}=\frac{U_{2ном}}{U_{1ном}}\)
Star-Triangle I	K=\(\frac{U_{2ном Ф}}{U_{1ном Ф}}\)=\(\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{1}{U_{1ном}}=\frac{U_{2ном}}{\sqrt {3} \cdot U_{1ном}}\)
Star-Triangle II	K=\(\frac{U_{2ном Ф}}{U_{1ном Ф}}\)=\(\frac{U_{2ном}}{\sqrt {3}}\cdot \frac{1}{U_{1ном}}=\frac{U_{2ном}}{\sqrt {3} \cdot U_{1ном}}\)

Property	Default Value	Description	Units of measurement
Method of specifying model parameters: SI; PU; Specification	SI	-	-
Primary winding parameters, U\(_{1ph}\); R\(_1\); L\(_1\)	230000.0;4.3218;0.45856;	Available, when `Method of specifying model parameters` - `SI`	V, Ohm, H
Secondary winding parameters, U\(_{2ph}\), R\(_2\), L\(_2\)	115000.0;0.7938;0.084225;	Available, when `Method of specifying model parameters` - `SI`	V, Ohm, H
Magnetizing branch parameters, R\(_m\), L\(_m\)	1080400.0;2866.0;	Available, when `Method of specifying model parameters` - `SI`	Ohm, H
Nominal power	2.5е8	Available, when `Method of specifying model parameters` - `PU` or `Specification`	VA
Nominal frequency	50.0	Available, when `Method of specifying model parameters` - `PU` or `Specification`	Hz
Primary winding parameters, U\(_{1ph}\), R\(_1\), L\(_1\)	230000.0;0.02;0.68;	Available, when `Method of specifying model parameters` - `PU`	V; r.u.; r.u.
Secondary winding parameters, U\(_{2ph}\), R\(_2\), L\(_2\)	115000.0;0.02;0.68;	Available, when `Method of specifying model parameters` - `PU`	V; r.u.; r.u.
Magnetizing branch parameters, R\(_m\), L\(_m\)	500.0;500.0;	Available, when `Method of specifying model parameters` - `PU`	r.u.; r.u.
Nominal voltage of primary winding	230000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Nominal voltage of secondary winding	115000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Base voltage of primary winding	230000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Base voltage of secondary winding	115000.0	Available, when `Method of specifying model parameters` - `Specification`	V
Nominal short circuit losses	35000.0	Available, when `Method of specifying model parameters` - `Specification`	W
Nominal impedance voltage	10.5	Available, when `Method of specifying model parameters` - `Specification`	%
Nominal no load losses	10000.0	Available, when `Method of specifying model parameters` - `Specification`	W
Nominal no load current	0.5	Available, when `Method of specifying model parameters` - `Specification`	%
Initial values of phase A windings currents, I\(_{1A}\), I\(_{2A}\)	0.0;0.0;	-	A
Initial values of phase B windings currents, I\(_{1B}\), I$_{2B}	0.0;0.0;	-	A
Initial values of phase C windings currents, I\(_{1C}\), I\(_{2C}\)	0.0;0.0;	-	A
Initial values of phase A magnetization branch current and voltage, I\(_{MA}\), U\(_{MA}\)	0.0;0.0;	-	A; V
Initial values of phase B magnetization branch current and voltage, I\(_{MB}\), U\(_{MB}\)	0.0;0.0;	-	A; V
Initial values of phase C magnetization branch current and voltage, I\(_{MC}\), U\(_{MC}\)	0.0;0.0;	-	A; V