@inproceedings{082c835599f244828bba37e0dd50cfba,

title = "Identification of circular flows in transmission networks using the electricity tracing methodology",

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.",

keywords = "Circular flows, Transmission systems",

author = "Stanislaw Ziemianek and Bialek, {Janusz W.}",

year = "2008",

language = "English",

series = "16th Power Systems Computation Conference, PSCC 2008",

publisher = "Power Systems Computation Conference ( PSCC )",

booktitle = "16th Power Systems Computation Conference, PSCC 2008",

note = "16th Power Systems Computation Conference, PSCC 2008 ; Conference date: 14-07-2008 Through 18-07-2008",

}