Contingency-risk informed power system design

Richard Li Yang Chen, Amy Cohn, Neng Fan, Ali Pinar

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

We consider the problem of designing (or augmenting) an electric power system at a minimum cost such that it satisfies the N-k-survivability criterion. This survivability criterion is a generalization of the well-known N-k criterion, and it requires that at least 1-j fraction of the steady-state demand be met after failures of j components, for j=0,1,,k. The network design problem adds another level of complexity to the notoriously hard contingency analysis problem, since the contingency analysis is only one of the requirements for the design optimization problem. We present a mixed-integer programming formulation of this problem that takes into account both transmission and generation expansion. We propose an algorithm that can avoid combinatorial explosion in the number of contingencies, by seeking vulnerabilities in intermediary solutions and constraining the design space accordingly. Our approach is built on our ability to identify such system vulnerabilities quickly. Our empirical studies on modified instances of the IEEE 30-bus and IEEE 57-bus systems show the effectiveness of our methods. We were able to solve the transmission and generation expansion problems for k=4 in approximately 30 min, while other approaches failed to provide a solution at the end of 2 h.

Original languageEnglish (US)
Article number6744681
Pages (from-to)2087-2096
Number of pages10
JournalIEEE Transactions on Power Systems
Volume29
Issue number5
DOIs
StatePublished - Sep 2014

Keywords

  • Contingency requirements
  • decomposition
  • implicit optimization
  • long-term grid planning
  • separation oracle

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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