Mapping nodal power injections to branch flows in connected LTI electrical networks

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

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

Abstract

This paper presents analytical closed-form expressions that map the contributions of nodal active- and reactive-power injections to the branch active- and reactive-power flows in an AC electrical network that is operating in sinusoidal steady state. We term these as the power divider laws, since they are derived leveraging, and their form and functionality are similar to, the ubiquitous current divider law. Distinct from the current divider law that only depends on the topology and constitution of the electrical network, the power divider laws are a function of the topology as well as the sinusoidal-steady-state voltage profile of the network.

Original languageEnglish (US)
Title of host publicationISCAS 2016 - IEEE International Symposium on Circuits and Systems
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2146-2149
Number of pages4
ISBN (Electronic)9781479953400
DOIs
StatePublished - Jul 29 2016
Event2016 IEEE International Symposium on Circuits and Systems, ISCAS 2016 - Montreal, Canada
Duration: May 22 2016May 25 2016

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
Volume2016-July
ISSN (Print)0271-4310

Other

Other2016 IEEE International Symposium on Circuits and Systems, ISCAS 2016
Country/TerritoryCanada
CityMontreal
Period5/22/165/25/16

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