Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines

John M. Undrill

doi:10.1109/TPAS.1968.292199

Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines

John M. Undrill

Research output: Contribution to journal › Article › peer-review

112 Scopus citations

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 language	English (US)
Pages (from-to)	835-844
Number of pages	10
Journal	IEEE transactions on power apparatus and systems
Volume	PAS-87
Issue number	3
DOIs	https://doi.org/10.1109/TPAS.1968.292199
State	Published - 1968
Externally published	Yes

ASJC Scopus subject areas

Energy Engineering and Power Technology
General Engineering
Electrical and Electronic Engineering

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10.1109/TPAS.1968.292199

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Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines

Abstract

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