The ideal symmetrical transformer, as shown in fig. 9.3, is determined by the following equations which introduce two more unknowns in the MNA matrix.

(9.30) |

The new unknown variables and must be considered by the six remaining simple equations.

(9.32) |

(9.33) |

The matrix representation needs to be augmented by two more new rows and their corresponding columns. For DC and AC simulation it is:

(9.34) |

Using the port numbers depicted in fig. 9.3, the scattering parameters of an ideal, symmetrical transformer with voltage transformation ratio (number of turns) and , respectively, writes as follows.

(9.35) |

(9.36) | |||

(9.37) | |||

(9.38) |

(9.39) |

(9.40) |

(9.41) |

An ideal symmetrical transformer is noise free.

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