Estimating feasible nodal power injections in distribution networks

Abdullah Al-Digs, Sairaj V. Dhople, Yu Christine Chen

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

1 Scopus citations

Abstract

This paper proposes a set-theoretic method to estimate feasible nodal injections (generation or load) in a distribution network, while respecting power system performance requirements. In the setting that we study, performance requirements are constraints in the form of interval ranges on the values that line flows can take, which are modelled by a convex poloytope. At its core, the proposed method relies on the solution of a linearly constrained least-squares optimization problem, which is formulated using sensitivity factors computed by linearizing the power flow equations around the operating point. Since this optimization problem admits a linear closed-form solution, the polytope of permissible line flows is propagated through the solution, via set operations, to obtain the set of feasible nodal injections.

Original languageEnglish (US)
Title of host publication2016 IEEE Power and Energy Society Innovative Smart Grid Technologies Conference, ISGT 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509051670
DOIs
StatePublished - Dec 9 2016
Event2016 IEEE Power and Energy Society Innovative Smart Grid Technologies Conference, ISGT 2016 - Minneapolis, United States
Duration: Sep 6 2016Sep 9 2016

Other

Other2016 IEEE Power and Energy Society Innovative Smart Grid Technologies Conference, ISGT 2016
CountryUnited States
CityMinneapolis
Period9/6/169/9/16

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