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No.70 (2000/9) >

 
Title :The Simplest Equivalent Circuit of a Multi-Terminal Network
Authors :Hosoya, Masahiko
Authors alternative :細谷, 将彦
Issue Date :Sep-2000
Abstract :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.
Type Local :紀要論文
ISSN :0286-9640
Publisher :琉球大学理学部
URI :http://hdl.handle.net/20.500.12000/7748
Citation :琉球大学理学部紀要 = Bulletin of the College of Science. University of the Ryukyus no.70 p.1 -10
Appears in Collections:No.70 (2000/9)

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