A necessary condition for power flow Jacobian singularity based on branch complex flows

Santiago Grijalva, Peter W. Sauer

Research output: Contribution to journalArticlepeer-review

Abstract

This paper deals with static transfer stability limits (STSL) of network branches and their relation with singularity of the power flow Jacobian. It describes the effect of large transfers on the branch complex flows and shows that when a transfer takes place in the system, at least one branch must reach its STSL before the singularity is encountered. Numerical examples confirm this necessary condition and show that the first STSL appears close to the singularity. Therefore, it is possible to monitor the proximity to the power flow Jacobian singularity by supervising the complex flow in individual transmission lines.

Original languageEnglish (US)
Pages (from-to)1406-1413
Number of pages8
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume52
Issue number7
DOIs
StatePublished - Jul 2005

Keywords

  • Available transfer capability (ATC)
  • Distribution factors
  • Static collapse
  • Voltage stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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