2024-03-28T15:45:59Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02004173
2022-10-31T01:52:11Z
1642837622505:1642837957109:1642837975146
1642838403551:1642838406414
The Simplest Equivalent Circuit of a Multi-Terminal Network
Hosoya, Masahiko
細谷, 将彦
open access
The Helmholtz-Thévenin theorem together with its dual equivalent Mayer-Norton's one is generalized to that of n-terminal networks. The new theorem asserts that any n-terminal network can be reduced to a set of the equivalent circuits which consist of (n-1) (n-2)/2 impedances and (n-1) active 2-terminal elements (Helmholtz-Thevenin's or Mayer-Norton's equivalent circuits). Their graph is the complete one, and the active elements are connected to each other so that they make a tree. The number of the possible equivalent circuits is n^n-2 for an n-terminal network, if we do not distinguish a Helmholtz-Thévenin's circuit from Mayer-Norton's one.
紀要論文
琉球大学理学部
2000-09
eng
departmental bulletin paper
VoR
http://hdl.handle.net/20.500.12000/7748
http://hdl.handle.net/20.500.12000/7748
https://u-ryukyu.repo.nii.ac.jp/records/2004173
0286-9640
AN00250774
琉球大学理学部紀要
Bulletin of the College of Science. University of the Ryukyus
70
1
10
https://u-ryukyu.repo.nii.ac.jp/record/2004173/files/No70p1.pdf