An Energy Based Security Measure for Assessing Vulnerability to Voltage Collapse

Christopher L. De Marco, Thomas J. Overbye

Research output: Contribution to journalArticlepeer-review


This paper defines a security measure to indicate vulnerability to voltage collapse based on an energy function for system models that include voltage Variation and reactive loads. The system dynamic model, the energy function and the security measure are first motivated in a simple radial system. Application of the new measure and its computational aspects are then examined in a standard 30 bus example (New England System). The new measure captures nonlinear effects such as var limits on generators that can influence the systems vulnerability to collapse. The behavior of the index with respect to network load increases is nearly linear over a wide range of load variation, facilitating prediction of the onset of collapse.

Original languageEnglish (US)
Pages (from-to)419-427
Number of pages9
JournalIEEE Transactions on Power Systems
Issue number2
StatePublished - May 1990
Externally publishedYes


  • Lyapunov functions
  • Voltage collapse
  • energy functions
  • security assessment
  • voltage stability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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