A Novel Bus-Aggregation-Based Structure-Preserving Power System Equivalent

Di Shi, Daniel J. Tylavsky

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


The challenges power systems engineers are facing today require the development of new system planning tools for analyzing generation and environmental policy options in the transmission-constrained electricity market. The requirements of a power-system equivalent to be used with such tools are very different from those assumed in the traditional network reduction process. To solve this issue, a novel structure-preserving network equivalent is proposed in this paper for modeling large power systems in the context of analyzing policy options and emissions. In the proposed method, a power system is first clustered into zones based on the similarity of the power transfer distribution factors (PTDFs); network reduction is achieved by aggregating buses (generators/loads) on a zonal basis and modeling inter-zonal transactions (power flows) using equivalent transmission lines. The proposed equivalent is superior to existing bus-aggregation-based equivalents in its accuracy under both the base case and change-case operating conditions. In addition, the method is more computationally efficient than other bus aggregation methods proposed heretofore. This paper also examined several classic clustering techniques and identified their performance and computational efficiencies when applied to very large power systems. The proposed network equivalencing approach is tested on an illustrative six-bus system as well as the 62,000-bus and 80,000-branch Eastern Interconnection (EI).

Original languageEnglish (US)
Article number6917217
Pages (from-to)1977-1986
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Jul 1 2015


  • Bus clustering
  • computational efficiency
  • dc power flow
  • power transfer distribution factor (PTDF)
  • power-system equivalent
  • system planning

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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