Title :
On dual topological theorems of linear active networks
Author :
Wang, Hui Yun ; Chen, Wai-Kai
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA
Abstract :
Based on the work of Chen (1984, 1991), it is shown that in a network with current-controlled voltage sources (CCVS) 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 source (CCVS) 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 source (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; duality (mathematics); electric admittance; electric impedance; linear network analysis; network topology; trees (mathematics); co-tree link; current-controlled voltage source; driving-point admittance; dual topological theorem; impedance; linear active network; transfer admittance; voltage-controlled current source; Admittance; Impedance; Transmission line matrix methods; Voltage control;
Conference_Titel :
Circuits and Systems, 1995., Proceedings., Proceedings of the 38th Midwest Symposium on
Conference_Location :
Rio de Janeiro
Print_ISBN :
0-7803-2972-4
DOI :
10.1109/MWSCAS.1995.510316
