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Ideal Core

Ideal transformer with three windings

The Ideal Core component models an ideal transformer with three windings. The connections to the windings are vectored signals; each vector has $m$ components, with $m$ a parameter of the model.

 ${i}_{m\left[k\right]}=0$ ${v}_{1\left[k\right]}={n}_{12}\cdot {v}_{2\left[k\right]}$ ${v}_{1\left[k\right]}={n}_{13}\cdot {v}_{3\left[k\right]}$ ${i}_{\mathrm{p1}\left[k\right]}+{i}_{\mathrm{n1}\left[k\right]}=0$ ${i}_{\mathrm{p2}\left[k\right]}+{i}_{\mathrm{n2}\left[k\right]}=0$ ${i}_{\mathrm{p3}\left[k\right]}+{i}_{\mathrm{n3}\left[k\right]}=0$ ${v}_{1\left[k\right]}={v}_{\mathrm{p1}\left[k\right]}-{v}_{\mathrm{n1}\left[k\right]}$ ${v}_{2\left[k\right]}={v}_{\mathrm{p2}\left[k\right]}-{v}_{\mathrm{n2}\left[k\right]}$ ${v}_{3\left[k\right]}={v}_{\mathrm{p3}\left[k\right]}-{v}_{\mathrm{n3}\left[k\right]}$

Connections

 Name Description ${\mathrm{plug}}_{\mathrm{px}}$ positive terminal of winding $x$ ${\mathrm{plug}}_{\mathrm{nx}}$ negative terminal of winding $x$

Variables

 Symbol Units Description ${i}_{\mathrm{px}\left[k\right]}$ $A$ Current flowing into pin ${\mathrm{plug}}_{\mathrm{px}\left[k\right]}$, , ${i}_{\mathrm{px}\left[k\right]}$ $A$ Current flowing into pin ${\mathrm{plug}}_{\mathrm{px}\left[k\right]}$, , ${i}_{m\left[k\right]}$ $A$ Magnetization current associated with $k$ ${v}_{\mathrm{px}\left[k\right]}$ $V$ Voltage at pin ${\mathrm{plug}}_{\mathrm{px}\left[k\right]}$, , ${v}_{\mathrm{nx}\left[k\right]}$ $V$ Voltage at pin ${\mathrm{plug}}_{\mathrm{nx}\left[k\right]}$, ,

Parameters

 Symbol Default Units Description Modelica ID $m$ 3 integer number of phases m ${n}_{12}$ 1 $-$ turns ratio, 1:2 n12 ${n}_{13}$ 1 $-$ turns ratio, 1:3 n12

Initial Conditions

 Symbol Units Description ${v}_{\mathrm{k0}}$ $V$ Initial voltages for winding $k$, ${i}_{\mathrm{k0}}$ $A$ Initial currents for winding $k$,

The initial values can be scalars or vectors of size $m$.  If a scalar, then all components get that value.

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

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