A Transformer With Saturable Two-port Core

Abstract

The behaviour of power transformers is very like to
ideal ones. Their characteristic matrices can not be
determined directly, because the elements of the
characteristic matrices are either close to infinity or zero.
On the other hand, strong coupling between two
transformer windings causes the determinant of these
matrices to become zero. Therefore, conversion of these
matrices to each other will decrease the precision of
results.
In this paper, we define three new parameters, d,
Zo.c.(open - circuit impedance) and Zs.c. (short-circuit
impedance). Using these parameters; we develop a new
method for determination of the characteristic matrices of
such transformers, and we show that this method does not
lead to a major decrease in the precision of results. All
characteristic matrices are obtained by this method and
some equivalent circuits for such transformers have been proposed.