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Robustness Analysis for an Online Decentralized Descent Power allocation algorithm
Harvard University.
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0002-6617-8683
Harvard University.
Harvard University.
Show others and affiliations
2016 (English)In: 2016 IEEE Information Theory and Applications Workshop (ITA), IEEE conference proceedings, 2016Conference paper, Published paper (Refereed)
Abstract [en]

As independent service providers increasingly inject power (from renewable sources like wind) into the power distribution system, the power distribution system will likely experience increasingly significant fluctuations in power supply. Fluctuations in power generation, coupled with time-varying consumption of electricity on the demand side and the massive scale of power distribution networks present the need to not only design decentralized power allocation policies, but also understand how robust they are to dynamic demand and supply. In this paper, via an Online Decentralized Dual Descent (OD3) Algorithm, with communication for decentralized coordination, we design power allocation policies in a power distribution system. Based on the OD3 algorithm, we determine and characterize (in the worst case) how much of observed social welfare andprice volatility can be explained by fluctuations in consumption utilities of users and capacities of suppliers. In coordinating the power allocation, the OD3 algoritihm uses a protocol in which the users’ consumption at each time-step depends on the coordinating (price) signal, which is iteratively updated based on aggregate power consumption. Convergence properties and performance guarantees of the OD3 algorithm is analyzed by characterizing the difference between the online decision and the optimal decision. As more renewable energy sources are integrated into the power grid, the results in this paper providea framework to understand how volatility in the power systems propagate to markets. The theoretical results in the paper are validated and illustrated by numerical experiments.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2016.
Series
2016 IEEE Information Theory and Applications Workshop (ITA)
National Category
Control Engineering
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-183142DOI: 10.1109/ITA.2016.7888135ISI: 000405940800005Scopus ID: 2-s2.0-85010719575OAI: oai:DiVA.org:kth-183142DiVA: diva2:908185
Conference
2016 IEEE Information Theory and Applications Workshop (ITA)
Note

QC 20160311

Available from: 2016-03-01 Created: 2016-03-01 Last updated: 2017-08-11Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
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