A Robust Approach to Chance Constrained Optimal Power Flow with Renewable Generation

Miles Lubin, Yury Dvorkin, Scott Backhaus

Research output: Contribution to journalArticlepeer-review


Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging current deterministic OPF approaches. Recent formulations of OPF use chance constraints to limit the risk from renewable generation uncertainty, however, these new approaches typically assume the probability distributions which characterize the uncertainty and variability are known exactly. We formulate a robust chance constrained (RCC) OPF that accounts for uncertainty in the parameters of these probability distributions by allowing them to be within an uncertainty set. The RCC OPF is solved using a cutting-plane algorithm that scales to large power systems. We demonstrate the RRC OPF on a modified model of the Bonneville Power Administration network, which includes 2209 buses and 176 controllable generators. Deterministic, chance constrained (CC), and RCC OPF formulations are compared using several metrics including cost of generation, area control error, ramping of controllable generators, and occurrence of transmission line overloads as well as the respective computational performance.

Original languageEnglish (US)
Article number7332992
Pages (from-to)3840-3849
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number5
StatePublished - Sep 2016


  • Chance constrained optimization
  • distributionally robust optimization
  • optimal power flow
  • optimization methods
  • power system economics
  • wind power integration
  • wind power uncertainty
  • wind power variability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


Dive into the research topics of 'A Robust Approach to Chance Constrained Optimal Power Flow with Renewable Generation'. Together they form a unique fingerprint.

Cite this