PTDF-based power system equivalents

Xu Cheng, Thomas J. Overbye

Research output: Contribution to journalArticle


The large size of power systems makes behavioral analysis of electricity markets computationally taxing. Reducing the system into a smaller equivalent, based on congestion zones, can substantially reduce the computational requirements. In this paper, we propose a scheme to determine the equivalent reactance of interfaces of a reduced system based upon the zonal power transfer distribution factors of the original system. The dc power flow model is used to formulate the problem. Test examples are provided using both an illustrative six-bus system and a more realistically sized 12 925-bus system.

Original languageEnglish (US)
Pages (from-to)1868-1876
Number of pages9
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Nov 1 2005


  • Congestion modeling
  • Congestion zone
  • Dc power flow
  • Distribution factors
  • electricity deregulation
  • equivalents

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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