Quasistationary Ideal Core

Ideal transformer with three windings

 Description The Quasistationary Ideal Core (or Ideal Core) component models an ideal transformer with three windings. Magnetizing current is not modeled.
 Equations ${i}_{1}={i}_{{p}_{1}}$ ${i}_{2}={i}_{{p}_{2}}$ ${i}_{3}={i}_{{p}_{3}}$ ${i}_{{p}_{1}}+{i}_{{n}_{1}}={i}_{{p}_{2}}+{i}_{{n}_{2}}={i}_{{p}_{3}}+{i}_{{n}_{3}}=0$ ${i}_{m}={i}_{1}+\frac{{i}_{2}}{{n}_{12}}+\frac{{i}_{3}}{{n}_{13}}=0$ ${v}_{1}={v}_{{p}_{1}}-{v}_{{n}_{1}}={n}_{12}{v}_{2}={n}_{13}{v}_{3}$ ${v}_{2}={v}_{{p}_{2}}-{v}_{{n}_{2}}$ ${v}_{3}={v}_{{p}_{3}}-{v}_{{n}_{3}}$ ${\mathrm{\gamma }}_{{p}_{1}}={\mathrm{\gamma }}_{{p}_{2}}={\mathrm{\gamma }}_{{p}_{3}}={\mathrm{\gamma }}_{{n}_{1}}={\mathrm{\gamma }}_{{n}_{2}}={\mathrm{\gamma }}_{{n}_{3}}$

Connections

 Name Description Modelica ID ${\mathrm{plug}}_{\mathrm{p1}}$ Positive connection, winding 1 plug_p1 ${\mathrm{plug}}_{\mathrm{n1}}$ Negative connection, winding 1 plug_n1 ${\mathrm{plug}}_{\mathrm{p2}}$ Positive connection, winding 2 plug_p2 ${\mathrm{plug}}_{\mathrm{n2}}$ Negative connection, winding 2 plug_n2 ${\mathrm{plug}}_{\mathrm{p3}}$ Positive connection, winding 3 plug_p3 ${\mathrm{plug}}_{\mathrm{n3}}$ Negative connection, winding 3 plug_n3

Parameters

 Name Default Units Description Modelica ID $m$ $3$ Number of phases m ${n}_{12}$ $1$ $1$ Turns ratio 1:2 n12 ${n}_{13}$ $1$ $1$ Turns ratio 1:3 n13

 Modelica Standard Library The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.