On dual topological theorems of linear active networks
Hui Yun Wang, Wai‐Kai Chen · 2002
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.