Conic AC transmission system planning

Joshua A. Taylor, Franz S. Hover

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


We formulate mixed-integer conic approximations to AC transmission system planning. The first applies lift-and-project relaxations to a nonconvex model built around a semidefinite power flow relaxation. We then employ a quadratically constrained approximation to the DistFlow equations in constructing a second-order cone model that is convex without relaxation. We solve mixed integer linear and second-order cone programs using commercial software and assess their performance on two benchmark problems. As with DC power flow models and linear AC relaxations, the new models usually produce solutions which are infeasible under the original constraints. However, they are nearer to feasibility, and therefore represent stronger alternatives.

Original languageEnglish (US)
Article number6308747
Pages (from-to)952-959
Number of pages8
JournalIEEE Transactions on Power Systems
Issue number2
StatePublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


  • DistFlow equations
  • Lift-and-project
  • Mixed-integer second-order cone programming
  • Semidefinite programming
  • Terms - AC transmission systemplanning


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