Distributionally Robust Distribution Network Configuration under Random Contingency

Sadra Babaei, Ruiwei Jiang, Chaoyue Zhao

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


Topology design is a critical task for the reliability, economic operation, and resilience of distribution systems. This paper proposes a distributionally robust optimization (DRO) model for designing the topology of a new distribution system facing random contingencies (e.g., imposed by natural disasters). The proposed DRO model optimally configures the network topology and integrates distributed generation to effectively meet the loads. Moreover, we take into account the uncertainty of contingency. Using the moment information of distribution line failures, we construct an ambiguity set of the contingency probability distribution, and minimize the expected amount of load shedding with regard to the worst-case distribution within the ambiguity set. As compared with a classical robust optimization model, the DRO model explicitly considers the contingency uncertainty and so provides a less conservative configuration, yielding a better out-of-sample performance. We recast the proposed model to facilitate the column-and-constraint generation algorithm. We demonstrate the out-of-sample performance of the proposed approach in numerical case studies.

Original languageEnglish (US)
Article number8998220
Pages (from-to)3332-3341
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number5
StatePublished - Sep 2020


  • contingency
  • Distribution network
  • distribution-ally robust optimization (DRO)
  • power system resilience

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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