Formulation of the state equations for active degenerate RLC network by signal flow graph.

In this paper a method of drawing the signal flow graph of an active degenerate RLC network is given. From this signal flow graph the state equations of the network are obtained using Mason's graph gain formula.
The representation of networks in state equation form X(t) = AX(t) + But is advantageous in many respects. Recently Acar (1970) has provided a simple method for the formulation of state equations of active non-degenerate RLC networks using signal flow graph. The method is computationally more simple than earlier methods due to Dervisoglu (1964) and Kuh and Rohrer (1965), but unfortunately this cannot be applied for networks containing degeneracy. The purpose of the present paper is to provide a method for drawing the signal flow graph of an active RLC network containing degeneracy in the form of capacitance loops and inductance cutsets. By eliminating the dynamically superfluous variables with suitable linear equations of constraint due to degeneracies, the signal flow graph of the network may be properly drawn. By inspection of this signal flow graph the A and B matrices are directly obtainable using the graph gain formula. [ABSTRACT FROM AUTHOR]