Power system steady-state stability and the load-flow jacobian

P. W. Sauer, M. A. Pai

Research output: Contribution to journalArticlepeer-review


This paper presents the relationship between a detailed power system dynamic model and a standard loadflow model. The linearized dynamic model is examined to show how the load-flow Jacobian appears in the system dynamic state Jacobian for evaluating steady-state stability. Two special cases are given for the situation when singularity of the load-flow Jacobian implies singularity of the system dynamic state Jacobian.

Original languageEnglish (US)
Pages (from-to)1374-1383
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Nov 1990
Externally publishedYes


  • Steady-state stability
  • load-flow Jacobian
  • power
  • system dynamics

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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