Dual topological theorems of linear active networks

Author

Wang, H.-Y. ; Chen, W.K.

Author_Institution

Dept. of Electr. Eng., Tianjin Univ., China

Volume

143

Issue

4

fYear

1996

fDate

8/1/1996 12:00:00 AM

Firstpage

225

Lastpage

228

Abstract

It is shown that in a network with current-controlled voltage sources the sum of the products of the impedances of the tree branches and their driving-point admittances plus the sum of the products of the controlling parameters of the current-controlled voltage sources and their associated transfer admittances equals the sum of the products of the admittances of the co-tree links and their driving-point impedances. In a network with voltage-controlled current sources (VCCS), the sum of the products of the admittances of co-tree links and their driving-point impedances plus the sum of the products of the controlling parameters of the VCCS and their associated transfer impedances equals the sum of the products of the impedances of tree branches and their driving-point admittances

Keywords

active networks; electric admittance; linear network synthesis; matrix algebra; network topology; transfer functions; associated transfer impedances; co-tree links; controlling parameters; current-controlled voltage sources; driving-point admittances; driving-point impedance; dual topological theorems; impedances; linear active networks; transfer admittances; tree branches;

fLanguage

English

Journal_Title

Circuits, Devices and Systems, IEE Proceedings -

Publisher

iet

ISSN

1350-2409

Type

jour

DOI

10.1049/ip-cds:19960496

Filename

533182