하중나무에 의한 래더 회로망의 새로운 해석 방법

A New Analysis of Ladder Networks by Weighted Tree

이 논문은 하중나무에 의한 래더형 회로의 새로운 해석 방법을 제안한다. 종래의 정보 구조를 나타내는 나무와는 달리 가지의 하중를 임피이던스 Z와 어드미턴스 Y로 하고, 그의 양단의 마디를 전압과 전류의 짝으로 표시하여 Z와 Y집합의 계층 구조의 나무를 구성한다. 다음에 나무에서 생성 레벨을 정의하고 기준 레벨과 임의의 레벨간을 path함으로써, 구동점 임피이던스, 전달함수, 전달 임피이던스를 계산에 의하지 않고 시각적으로 동시에 구한다. 본 방법에 의하여 가역정리를 유도함으로써 타당성을 입증하고 4단자 정수 및 피이드백, Tr결합 텐덤 회로에도 적용된다. In this paper a new analytic method for Ladder networks by weighted tree is proposed. In contrast to conventional tree concept that represents only information structure, in this paper, a tree with hierarchical structure is established by giving wei체t of impedance Z and admittance Y to branch and representing each node of its branch as a pair of voltage and current. Then, by defining generation level from tree structure and by parsing between standand level and arbitrary level, driving point impedance, transfer function and transfer impedance are simultaneously obtained instead of complex calculation method by inspection. The validity of this method is proved by the reciprocal theorem and this method is applied to four-terminal constants and the feedback network.

In this paper a new analytic method for Ladder networks by weighted tree is proposed. In contrast to conventional tree concept that represents only information structure, in this paper, a tree with hierarchical structure is established by giving wei체t of impedance Z and admittance Y to branch and representing each node of its branch as a pair of voltage and current. Then, by defining generation level from tree structure and by parsing between standand level and arbitrary level, driving point impedance, transfer function and transfer impedance are simultaneously obtained instead of complex calculation method by inspection. The validity of this method is proved by the reciprocal theorem and this method is applied to four-terminal constants and the feedback network.