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Stochastic optimal power flow problem with stability constraints
Royal Institute of Technology.
Royal Institute of Technology. (Waves signals and systems)ORCID iD: 0000-0003-3111-4820
Royal Institute of Technology.
2013 (English)In: 2013 IEEE Power and Energy Society General Meeting (PES), IEEE, 2013Conference paper, Published paper (Refereed)
Abstract [en]

Summary form only given. Stochastic optimal power flow can provide the system operator with adequate strategies for controlling the power flow to maintain secure operation under stochastic parameter variations. One limitation of stochastic optimal power flow has been that only limits on line flows have been used as stability constraints. In many systems voltage stability and small-signal stability also play an important role in constraining the operation. In this article we aim to extend the stochastic optimal power flow problem to include constraints for voltage stability as well as small-signal stability. This is done by approximating the voltage stability and small-signal stability constraint boundaries with second order approximations in parameter space. Then we refine methods from mathematical finance to be able to estimate the probability of violating the constraints. In the first part of the article, we derive second-order approximations of stability boundaries in parameter space. In the second part of the article, we look at how Cornish-Fisher expansion combined with a method of excluding sets that are counted twice, can be used to estimate the probability of violating the stability constraints. We then show in a numerical example how this leads to an efficient solution method for the stochastic optimal power flow problem.

Place, publisher, year, edition, pages
IEEE, 2013.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:lnu:diva-61541DOI: 10.1109/PESMG.2013.6672595ISBN: 978-1-4799-1303-9 (electronic)ISBN: 978-1-4799-1302-2 (print)OAI: oai:DiVA.org:lnu-61541DiVA: diva2:1083499
Conference
2013 IEEE Power and Energy Society General Meeting (PES), 21-25 July 2013
Available from: 2017-03-21 Created: 2017-03-21 Last updated: 2017-04-05Bibliographically approved

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Perninge, Magnus
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Total: 28 hits
CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf