Analytical approximations of critical clearing time for parametric analysis of power system transient stability

Lewis G. W. Roberts, Alan R. Champneys, Keith R. W. Bell, Mario di Bernardo

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Abstract

An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such as different fault locations and different post-fault network states. The purpose of this metric is to analyse trends in stability (in terms of CCT) of power systems under the variation of a system parameter. The performance of this metric to measure stability trends is demonstrated on an aggregated power network, the so-called two machine infinite bus network, by varying load parameters in the full bus admittance matrix using numerical continuation. The metric is compared to two other expressions for the CCT which incorporate additional non-linearities present in the model.
Original languageEnglish
Number of pages12
JournalIEEE Journal on Emerging and Selected Topics in Circuits and Systems
Early online date20 Aug 2015
DOIs
Publication statusPublished - 2015

Keywords

  • critical clearing time
  • numerical continuation
  • power system stability
  • stability metrics
  • swing equation

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