On the Realization of 2-Port Immittance Matrices Without Transformers

Author

So, Hing C.

Volume

10

Issue

1

fYear

1963

fDate

3/1/1963 12:00:00 AM

Firstpage

91

Lastpage

98

Abstract

The realization of immittance matrices of passive, bilateral two-ports without transformers is discussed. It is shown that given any symmetric, positive real, immittance matrix, as for example the open-circuit impedance matrix with entries $z_{11}(s)$ , $z_{12}(s)$ , and $z_{22}(s)$ , provided only that the driving functions have nonzero real parts when the variable $s$ is imaginary, a RLC network $N$ without coupled coils can always be found such that the parameters of $N$ are $z_{11}(s), Kz_{12}(s)$ , and $z_{22}(s)$ where $K$ is any positive number no greater than $K_{\\max }$ . The value $K_{\\max }$ is determined by the given parameters and may or may not exceed unity. A simple rule for determining $K_{\\max }$ is given. The realization procedure makes use of available approximation techniques which give rise to nonunique solutions. All solutions, however, are in the form of general lattice networks.

Keywords

Admittance; Circuit synthesis; Circuit theory; Coils; Impedance; Lattices; Network synthesis; Symmetric matrices; Transfer functions; Transformers;

fLanguage

English

Journal_Title

Circuit Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9324

Type

jour

DOI

10.1109/TCT.1963.1082070

Filename

1082070