Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

Describing the small signal performance of a multimachine synchronous power system by a set of differential equations of the form [x] = [A] [x] allows standard multivariable control theory to be used in dynamic stability studies. The construction of the [A] matrix for a multimachine power system involves the application of Kron's rotational transformation to the transmission network admittance matrix, and a matrix analysis of the synchronous machines using internal flux linkages as state variables. Once the [A] matrix has been obtained, standard digital computer methods for calculating its eigenvalues are a convenient means of obtaining information on the dynamic stability of the power system.

Original languageEnglish (US)
Pages (from-to)835-844
Number of pages10
JournalIEEE Transactions on Power Apparatus and Systems
VolumePAS-87
Issue number3
DOIs
StatePublished - Jan 1 1968
Externally publishedYes

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Electric power transmission networks
Digital computers
Control theory
Differential equations
Fluxes

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

Cite this

Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines. / Undrill, John.

In: IEEE Transactions on Power Apparatus and Systems, Vol. PAS-87, No. 3, 01.01.1968, p. 835-844.

Research output: Contribution to journalArticle

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