An equivalent-circuit transformation and its application to network-element-value calculation

A transformation of a circuit containing voltage-controlled current sources is investigated. By the transformation a node is eliminated. Transformation formulas are derived, and a condition and a procedure for inverse transformation are given. Then the transformation is applied to element-value calculation. The inaccessible nodes in a network are eliminated one by one by the transformation and a sequence of networks
N_{0}, N_{1}, \cdots , N_{f-1}
, and
N_{f}
are obtained, where
N_{0}
is the original network and
N_{f}
is the final network which contains accessible nodes only and whose element-values or parameter-values can be determined from measurements. The backward process involves revival of inaccessible nodes one by one, and the procedure for inverse transformation is applied to determine, if possible, the element-values in
N_{f-1}
from those in
N_{f}
, those in
N_{f-2}
from those in
N_{f-1}
and so on until those in
N_{0}
calculated.