WOLFRAM SYSTEM MODELER

Transformer

Example of transformer with short circuit impedance, transmission resistances and load

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Electrical.QuasiStatic.SinglePhase.Examples.Transformer"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This examples shows the operational behavior of transformer with short circuit impedance. The transformer is loaded with constant current magnitude of 250A but variable phase angle. The angle varies from 0 to 360 degrees within one second of simulation time.

Transformer data

  • Nominal primary voltage V1N = 1000 V
  • Nominal secondary voltage V2N = 200 V
  • Nominal apparent power SN = 50 kVA
  • Short circuit impedance Zk = 0.72 Ohm + j*0.96 Ohm
  • Magnetizing current and core loss are not taken into account

Plot the real part of the secondary voltage idealTransformer.v2.re on the x axis and idealTransformer.v2.im on the y axis. The locus of this complex voltage v2 is a circle. The center of the circle is the primary supply voltage divided by the transformation ratio of n=5. Since in this experiment the load current magnitude is constant, the voltage drop across the short circuit impedance of the transformer is constant, as well. The radius of the circle is equal to the constant magnitude of the voltage drop across the short circuit impedance.

Components (15)

voltageSource

Type: VoltageSource

Description: Constant AC voltage

idealTransformer

Type: IdealTransformer

Description: Ideal transformer

sensor0

Type: PowerSensor

Description: Power sensor

zk

Type: Impedance

Description: Single-phase linear impedance

load

Type: VariableCurrentSource

Description: Variable AC current

sensorL

Type: PowerSensor

Description: Power sensor

ground1

Type: Ground

Description: Electrical ground

ground2

Type: Ground

Description: Electrical ground

v2

Type: VoltageSensor

Description: Voltage sensor

polarToComplex

Type: PolarToComplex

Description: Converts polar representation to complex

const

Type: Constant

Description: Generate constant signal of type Real

ramp

Type: Ramp

Description: Generate ramp signal

constFrequency

Type: Constant

Description: Generate constant signal of type Real

i2

Type: CurrentSensor

Description: Current sensor

i1

Type: CurrentSensor

Description: Current sensor