Chance constraints for improving the security of ac optimal power flow

M. Lubin, Y. Dvorkin, L. Roald

Research output: Contribution to journalArticlepeer-review


This paper presents a scalable method for improving the solutions of ac optimal power flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The aim of this paper is on providing solutions that are more robust to short-term deviations, and that optimize both the initial operating point and a parametrized response policy for control during fluctuations. We formulate this as a chance-constrained optimization problem. To obtain a tractable representation of the chance constraints, we introduce a number of modeling assumptions and leverage recent theoretical results to reformulate the problem as a convex, second-order cone program, which is efficiently solvable even for large instances. Our experiments demonstrate that the proposed procedure improves the feasibility and cost performance of the OPF solution, while the additional computation time is on the same magnitude as a single deterministic AC OPF calculation.

Original languageEnglish (US)
Article number8600344
Pages (from-to)1908-1917
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number3
StatePublished - May 2019


  • Chance constraints
  • Optimal power flow
  • Renewable generation

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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