M_Transformer

Multiwinding electrical transformer

 Description The M_Transformer (or M Transformer) component models a multiwinding transformer with self and mutual inductances defined by a symmetric matrix. Because the matrix_ is symmetric, it is specified by a one-dimensional array of length $\frac{1}{2}N\left(N+1\right)$, $\left[{L}_{\mathrm{jk}}:1\le j\le k\le N\right]$, that represents the upper triangular portion of the matrix. For example, for a three-winding transformer, $N=3$ and the $L$ array has the form $\left[{L}_{11},{L}_{12},{L}_{13},{L}_{22},{L}_{23},{L}_{33}\right]$.
 Equations ${v}_{j}={v}_{{p}_{j}}-{v}_{{n}_{j}}=\sum _{j=1}^{N}{L}_{\mathrm{jk}}{\stackrel{.}{i}}_{k}$ ${i}_{j}={i}_{{p}_{j}}=-{i}_{{n}_{j}}$

Variables

 Name Units Description Modelica ID ${v}_{j}$ $V$ Voltage across winding $j$ v[j] ${v}_{{x}_{j}}$ $V$ Voltage at pin $x$, $x\in \left\{n,p\right\}$, of winding $j$ x[j].v ${i}_{j}$ $A$ Current through winding $j$ i[j] ${i}_{{x}_{j}}$ $A$ Current into pin $x$, $x\in \left\{n,p\right\}$ x[j].i

Connections

 Name Description Modelica ID $p$ Positive pin p $n$ Negative pin n

Parameters

 Name Default Units Description Modelica ID $N$ $3$ Number of inductors N $L$ * $H$ Inductances and coupling inductances L

* $\left[1,0.1,0.2,2,0.3,0.3\right]$

 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.