Generalized Admittance Matrix Model of Transformers

This brief describes a new admittance matrix model to approach the behavior of transformers. The new model is simpler than the one reported in the literature and can directly be used to fill the admittance matrix without extra variables. Our results indicate that the proposed stamp can directly be used into a standard nodal analysis, obtaining a reduced and sparse system of equations. Two analysis examples are provided, showing that fully-symbolic transfer functions of electronic circuits based on transformers can be computed by using nodal analysis only. As a consequence, the computational complexity during the solution of the system of equations is reduced when recursive determinant expansion techniques are applied.