Ideal three windings transformer

Block appearance in REPEAT VISION

 The Ideal three windings transformer block is a model of a perfect three-winding transformer described by the following expressions (1):

\[U_2=K_1 \cdot U_1\]

\[U_3=K_2 \cdot U_1\]

(1)\[I_1=K_1 \cdot I_2+K_2 \cdot I_3\]

where:

 \(K_1\) - transformation ratio between primary and secondary windings;

 \(K_2\) - transformation ratio between primary and tertiary windings;

 \(U_1\), \(U_2\), \(U_3\) - voltages of primary, secondary and tertiary windings, [V];

 \(I_1\), \(I_2\), \(I_3\) - currents of primary, secondary and tertiary windings, [A].

 The equivalent circuit (with load in the form of resistances R) is shown in Fig. 1:

Fig. 1 Equivalent circuit

1.  Properties

Property	Default value	Description	Units of measurement
Winding ratio of primary and secondary windings	0.001	-	-
Winding ratio of primary and tertiary windings	0.001	-	-

2.  Inputs and outputs

Parameters	Input/Output	Description	Units of measurement	Port type
Primary winding +	Input	-	-	Electronics
Secondary winding -	Input	-	-	Electronics
Tertiary winding -	Input	-	-	Electronics
Primary winding -	Output	-	-	Electronics
Secondary winding +	Output	-	-	Electronics
Tertiary winding +	Output	-	-	Electronics

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

See also

An example of using this block can be found in subsection Power industry of section Electrical equipment practical guide Modeling of zero-sequence current directional protection of 220 kV power transmission lines.