Dual topological theorems of linear active networks

摘要

It is shown that in a network with current-controlled voltagensources the sum of the products of the impedances of the tree branchesnand their driving-point admittances plus the sum of the products of thencontrolling parameters of the current-controlled voltage sources andntheir associated transfer admittances equals the sum of the products ofnthe admittances of the co-tree links and their driving-point impedances.nIn a network with voltage-controlled current sources (VCCS), the sum ofnthe products of the admittances of co-tree links and their driving-pointnimpedances plus the sum of the products of the controlling parameters ofnthe VCCS and their associated transfer impedances equals the sum of thenproducts of the impedances of tree branches and their driving-pointnadmittances