An efficient primal-dual approach to chance-constrained economic dispatch

Gabriela Martinez, Yu Zhang, Georgios B. Giannakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

To effectively enhance the integration of distributed and renewable energy sources in future smart microgrids, economical energy management accounting for the principal challenge of the variable and non-dispatchable renewables is indispensable and of significant importance. Day-ahead economic generation dispatch with demand-side management for a micro-grid in islanded mode is considered in this paper. With the goal of limiting the risk of the loss-of-load probability, a joint chance constrained optimization problem is formulated for the optimal multi-period energy scheduling with multiple wind farms. Bypassing the intractable spatio-temporal joint distribution of the wind power generation, a primal-dual approach is used to obtain a suboptimal solution efficiently. The method is based on first-order optimality conditions and successive approximation of the probabilistic constraint by generation of p-efficient points. Numerical results are reported to corroborate the merits of this approach.

Original languageEnglish (US)
Title of host publication2014 North American Power Symposium, NAPS 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479959044
DOIs
StatePublished - Nov 21 2014
Event2014 North American Power Symposium, NAPS 2014 - Pullman, United States
Duration: Sep 7 2014Sep 9 2014

Publication series

Name2014 North American Power Symposium, NAPS 2014

Other

Other2014 North American Power Symposium, NAPS 2014
CountryUnited States
CityPullman
Period9/7/149/9/14

Keywords

  • Microgrids
  • chance constraints
  • economic dispatch
  • primal-dual approach
  • renewable energy

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