This chapter considers an extension of the single phase transformer (ITF) model to a two-phase space vector based version. The introduction of a two phase (ITF) model is instructive as a tool for moving towards the so-called ‘ideal rotating transformer’ ‘IRTF’ concept, which forms the basis of machine models for this book. The reader is reminded of the fact that a two-phase model is a convenient method of representing three-phase systems as was discussed in section 4.6 on page 89. The development from ITF to a generalized two inductance model as discussed for the single phase model (see chapter 3) is almost identical for the two-phase model. Consequently, it is not instructive to repeat this process here. Instead, emphasis is placed in this chapter on the development of a two-phase space vector based ITF symbolic and generic model.