An Optimization-Based DC-Network Reduction Method

Yujia Zhu, Daniel Tylavsky

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Reduced order models of dc networks using Ward, REI, and bus-aggregation approaches have been used to advantage for some time. Proposed in this paper is an optimization-based framework that can easily be modified to generate a Ward reduction, a bus-aggregation-based reduction, or a range of hybrid reductions between these two extremes, generating reduced-order models that are tailored to the purpose of the study. The so-called optimization-based Ward reduction method is demonstrated to be numerically stable on practical examples and is specifically applied to the problem of large-reactance branch elimination. We show that it offers accuracy advantages over the traditional approach of removing high-reactance branches using a threshold criterion.

Original languageEnglish (US)
Pages (from-to)2509-2517
Number of pages9
JournalIEEE Transactions on Power Systems
Issue number3
StatePublished - May 2018


  • Network reduction
  • PTDF
  • Ward
  • inter-zonal
  • optimization
  • unified-framework

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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