Transfer Function Realizability of Groundedoverline{URC}Networks

Necessary and sufficient conditions for the realization of a short-circuited transfer admittance by means of a grounded
\overline{URC}
network are presented. The approach used to determine the realizability conditions is similar to that employed in lumped transformerless networks but, in this case, the conditions upon realizability are directly related to the short-circuited transfer admittance (
y_{12}
), rather than the open-circuited voltage transfer ratio. Similarly, if
y_{12}
satisfies the realizability conditions, surplus factors may have to be used before synthesis can be performed. Finally, the procedure used in testing for realizability and synthesis is demonstrated by a nontrivial worked example.