Unification of generalized hybrid analysis and generalized diakoptics

Abstract

First, the concept of generalized hybrid basis is introduced and the generalized hybrid analysis for the special linear network having no coupling between its subnetworksN ₁ andN ₂ in Chua and Chen’s paper (1976) is extended to that for the general linear network having coupling betweenN ₁ andN ₂. Second, the concept of generalized diakoptics is introduced and the one-to-one correspondence between it and the generalized hybrid analysis is established. Thus the two analysis methods are unified. Third, the multilevel generalized diakoptics and its algorithm are presented. Fourth, the concepts of the equivalent tree-flower type network and the equivalent interconnected network for fundamental diakoptics are presented.