Linear relaxations for transmission system planning

Joshua A. Taylor, Franz S. Hover

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


We apply a linear relaxation procedure for polynomial optimization problems to transmission system planning. The approach recovers and improves upon existing linear models based on the DC approximation. We then consider the full AC problem, and obtain new linear models with nearly the same efficiency as the linear DC models. The new models are applied to standard test systems, and produce high-quality approximate solutions in reasonable computation time.

Original languageEnglish (US)
Article number5772044
Pages (from-to)2533-2538
Number of pages6
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Nov 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


  • AC power flow
  • disjunctive model
  • linear relaxation
  • transmission system planning


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