Identification of circular flows in transmission networks using the electricity tracing methodology

Stanislaw Ziemianek, Janusz W. Bialek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

Use of uncoordinated phase angle regulators in meshed transmission networks may lead to the creation of circular flows that produce cycles in the directed graph (digraph) of power flows. Circular flows load unnecessarily transmission lines reducing transfer capacities and cause transmission losses. The paper has shown that circular flows can be easily identified using the electricity tracing method. If the elements on the main diagonal of the inverted upstream or downstream distribution matrices are greater than unity then the nodes concerned participate in a circular flow. The value of the circulating flow is equal to the smallest flow in the cycle. Interacting cycles can be also identified by inspecting those diagonal elements of upstream or downstream, distribution matrices that are greater than 1. The diagonal elements corresponding to the nodes common for two cycles have values equal to added more-than-one shares. The paper has illustrated the methodology using a test system.

Original languageEnglish
Title of host publication16th Power Systems Computation Conference, PSCC 2008
PublisherPower Systems Computation Conference ( PSCC )
ISBN (Electronic)9780947649289
Publication statusPublished - 2008
Externally publishedYes
Event16th Power Systems Computation Conference, PSCC 2008 - Glasgow, United Kingdom
Duration: 14 Jul 200818 Jul 2008

Publication series

Name16th Power Systems Computation Conference, PSCC 2008

Conference

Conference16th Power Systems Computation Conference, PSCC 2008
Country/TerritoryUnited Kingdom
CityGlasgow
Period14/07/0818/07/08

Keywords

  • Circular flows
  • Transmission systems

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