Title :
Dual topological theorems of linear active networks
Author :
Wang, H.-Y. ; Chen, W.K.
Author_Institution :
Dept. of Electr. Eng., Tianjin Univ., China
fDate :
8/1/1996 12:00:00 AM
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;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings -
DOI :
10.1049/ip-cds:19960496
