Monotonicity Between Phase Angles and Power Flow and Its Implications for the Uniqueness of Solutions

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dc.contributor.authorPark, SangWoo
dc.contributor.authorZhang, Richard
dc.contributor.authorLavaei, Javad
dc.contributor.authorBaldick, Ross
dc.date.accessioned2019-01-03T00:17:36Z
dc.date.available2019-01-03T00:17:36Z
dc.date.issued2019-01-08
dc.description.abstractThis paper establishes sufficient conditions for the uniqueness of power flow solutions in an AC power system via the monotonic relationship between real power flow and the phase angle difference. More specifically, we prove that strict monotonicity holds if the angle difference is bounded by the steady-state stability limit in a power system with a series-parallel topology, or if transmission losses are sufficiently low. In both cases, a vector of voltage phase angles can be uniquely determined (up to an absolute phase shift) given a vector of active power injections within the realizable range. The implication of this result for classical power flow analysis is that, under the conditions specified above, the problem has a unique physically realizable solution if the phasor voltage magnitudes are tightly controlled.
dc.format.extent10 pages
dc.identifier.doi10.24251/HICSS.2019.436
dc.identifier.isbn978-0-9981331-2-6
dc.identifier.urihttp://hdl.handle.net/10125/59797
dc.language.isoeng
dc.relation.ispartofProceedings of the 52nd Hawaii International Conference on System Sciences
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectPolicy, Markets, and Computation
dc.subjectElectric Energy Systems
dc.subjectAC power flow, monotone operator, network topology, power flow analysis, power flow problem
dc.titleMonotonicity Between Phase Angles and Power Flow and Its Implications for the Uniqueness of Solutions
dc.typeConference Paper
dc.type.dcmiText

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