A Clustered Dynamic Model for a Class of Linear Autonomous Systems Using Simple Enumerative Sorting

John Zaborszky, Keh Wen Whang, Garng Morton Huang, Luo Jen Chiang, Shin Yeu Lin

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46 Citations (Scopus)


Simple, computationally efficient, enumerative techniques are introduced for establishing a clustered semidecoupled dynamic model for a class of autonomous linear systems exemplified by the electromechanical dynamics of the electric power system. Such a model consists of intercluster (usually slow) dynamics and intracluster dynamics (usually fast) which are respectively weakly coupled. The process starts by selecting the point in frequency where intracluster and intercluster dynamics tend to separate. The sorting technique then identifies the number of clusters, the width of separation in frequency, the specifics of the dynamic components and the coupling between them. No matrix manipulations like finding eigenvalues or inverses are required.

Original languageEnglish
Pages (from-to)747-758
Number of pages12
JournalIEEE Transactions on Circuits and Systems
Issue number11
Publication statusPublished - 1 Jan 1982
Externally publishedYes


ASJC Scopus subject areas

  • Engineering(all)

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