On some equivalent transformations of electrical network signal-flow graphs and related first-order transfer function sensitivities

The aim of the presented paper is to find a solution of the problem for determination of the first-order electrical network transfer function sensitivity after some equivalent transformation applied to the corresponding network signal-flow graph (SFG). A typical self-loop containing sub-graph (SG) is used and it is shown that the SFG transfer function sensitivity with respect of the new edge transmission coefficients of the new SG obtained after the equivalent transformation can be expressed by the similar sensitivities of the initial SG. The results derived here can be generalised for the case of a matrix sub-graph (MSG)