Two-element type normal n-ports

Abstract

A new classification of RLC reciprocal n-ports in normal and non-normal systems is proposed. The normal systems exhibit the most natural generalization of the scalar RLC one-ports; they admit canonic synthesis representations. Let R, L and C be open loop parameters of an RLC reciprocal n-port with m = n dynamically linearly independent loops. For a normal system R, L and C must commute pairwise. Alternatively, the Hermitian components of Z(s) shall commute. There exists a complete set of common orthonormal eigenvectors for R, L and C. With respect to this coordinate system the normal n-port admits a canonic structure. A normal n-port can be canonically synthesized by a unit R, L and C and an adequate supply of ideal transformers. Such decoupling is not realizable for non-normal n-ports.