The existence and the determination of terminal equations for hybrid connected N‐ports

Abstract A new procedure for the existence and the determination of terminal equations for the hybrid interconnection of two n‐port networks is given. It is shown that this procedure generalizes the previous works of Duffin, Trapp and Mitra for the hybrid sum of terminal impedance matrices which are either Hermitian positive semi‐definite (HSD) or arbitrary matrices with complex entries. For the application of the new procedure it is shown that each n‐port need not be terminal solvable or well defined. In fact, even in the case of active RLC n‐ports considered in sinusoidal steady‐state, the previous results of Duffin, Mitra and Trapp established for HSD matrices or arbitrary complex matrices can still be utilized with the use of modified terminal equations, to obtain the terminal equations of the resulting n‐port networks. It is also noted that the method introduced in this paper is independent of the choice of generalized inverses.