Multiphase Transformer

Multiphase transformer with two ports

Description

The transformer is a two port component. The port equations for this component are

with

 ${v}_{1}\equiv {v}_{\mathrm{p1}}-{v}_{\mathrm{p2}}$ ${v}_{2}\equiv {v}_{\mathrm{s1}}-{v}_{\mathrm{s2}}$ ${i}_{1}\equiv {i}_{\mathrm{p1}}$ ${i}_{2}\equiv {i}_{\mathrm{s1}}$ ${i}_{\mathrm{p1}}+{i}_{\mathrm{p2}}=0$ ${i}_{\mathrm{s1}}+{i}_{\mathrm{s2}}=0$

Connections

 Name Description ${\mathrm{plug}}_{\mathrm{p1}}$ Port 1 positive plug ${\mathrm{plug}}_{\mathrm{p2}}$ Port 2 positive plug ${\mathrm{plug}}_{\mathrm{n1}}$ Port 1 negative plug ${{\mathrm{plug}}_{\mathrm{n2}}}_{}$ Port 2 negative plug

Variables

 Symbol Units Description $A$ Current flowing into plug x, $V$ Voltage at plug x,

Parameters

 Symbol Default Units Description Modelica ID $m$ $3$ - Number of phases m $H$ Primary inductance L1 $H$ Secondary inductance L2 $M$ $H$ Mutual inductance M

Initial Conditions

 Symbol Units Description Modelica ID ${\mathrm{v1}}_{o}$ $V$ Voltage drops over the left port v1(0) ${\mathrm{v2}}_{o}$ $V$ Voltage drops over the right port v2(0) ${\mathrm{i1}}_{0}$ $A$ Current flowing into positive plug of the left port i1(0) ${\mathrm{i2}}_{0}$ $A$ Current flowing into positive plug of the right port i2(0)