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A stochastic optimal power flow problem with stability constraints: Part II: the optimization problem
KTH Royal Institute of Technology. (Waves signals and systems)ORCID iD: 0000-0003-3111-4820
KTH Royal Institute of Technology.
2013 (English)In: IEEE Transactions on Power Systems, ISSN 0885-8950, E-ISSN 1558-0679, Vol. 28, no 2, 1849-1857 p.Article in journal (Refereed) Published
Abstract [en]

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 paper 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 surfaces 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 this, the second part of the paper, 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
2013. Vol. 28, no 2, 1849-1857 p.
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Electrotechnology
Identifiers
URN: urn:nbn:se:lnu:diva-61569DOI: 10.1109/TPWRS.2012.2226761OAI: oai:DiVA.org:lnu-61569DiVA: diva2:1083533
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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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • modern-language-association-8th-edition
  • vancouver
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More styles
Language
  • de-DE
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  • nn-NO
  • nn-NB
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