Please use this identifier to cite or link to this item: http://localhost/handle/Hannan/717001
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dc.contributor.authorAnatoly Dymarsky|Konstantin Turitsynen_US
dc.date.accessioned2013en_US
dc.date.accessioned2021-05-16T17:43:34Z-
dc.date.available2021-05-16T17:43:34Z-
dc.date.issueden_US
dc.identifier.isbnen_US
dc.identifier.other10.1109/LCSYS.2018.2877442en_US
dc.identifier.urihttp://localhost/handle/Hannan/717001-
dc.description.abstractThe solvability set of a power network—the set of all power injection vectors for which the corresponding power flow equations admit a solution—is central to power systems stability and security, as well as to the tightness of optimal power flow relaxations. Whenever the solvability set is convex, this allows for substantial simplifications of various optimization and risk assessment algorithms. In this letter, we focus on the solvability set of power distribution networks and prove convexity of the full solvability set (real and reactive powers) for tree homogeneous networks with the same <inline-formula xmlns:mml= http://www.w3.org/1998/Math/MathML xmlns:xlink= http://www.w3.org/1999/xlink ><tex-math notation= LaTeX >$r/x$</tex-math></inline-formula> ratio for all elements. We also show this result can not be improved: once the network is not homogeneous, the convexity is immediately lost. It is nevertheless the case that if the network is almost homogeneous, a substantial practically important part of the solvability set is still convex. Finally, we prove convexity of real solvability set (only real powers) for any tree network as well as for purely resistive networks with arbitrary topology.en_US
dc.relation.haspart08502879.pdfen_US
dc.subjectpower systems|Algebraic/geometric methodsen_US
dc.titleConvexity of Solvability Set of Power Distribution Networksen_US
dc.title.alternativeIEEE Control Systems Lettersen_US
dc.typeArticleen_US
dc.journal.volumeVolumeen_US
dc.journal.issueIssueen_US
dc.journal.titleIEEE Control Systems Lettersen_US
Appears in Collections:New Ieee 2019

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dc.contributor.authorAnatoly Dymarsky|Konstantin Turitsynen_US
dc.date.accessioned2013en_US
dc.date.accessioned2021-05-16T17:43:34Z-
dc.date.available2021-05-16T17:43:34Z-
dc.date.issueden_US
dc.identifier.isbnen_US
dc.identifier.other10.1109/LCSYS.2018.2877442en_US
dc.identifier.urihttp://localhost/handle/Hannan/717001-
dc.description.abstractThe solvability set of a power network—the set of all power injection vectors for which the corresponding power flow equations admit a solution—is central to power systems stability and security, as well as to the tightness of optimal power flow relaxations. Whenever the solvability set is convex, this allows for substantial simplifications of various optimization and risk assessment algorithms. In this letter, we focus on the solvability set of power distribution networks and prove convexity of the full solvability set (real and reactive powers) for tree homogeneous networks with the same <inline-formula xmlns:mml= http://www.w3.org/1998/Math/MathML xmlns:xlink= http://www.w3.org/1999/xlink ><tex-math notation= LaTeX >$r/x$</tex-math></inline-formula> ratio for all elements. We also show this result can not be improved: once the network is not homogeneous, the convexity is immediately lost. It is nevertheless the case that if the network is almost homogeneous, a substantial practically important part of the solvability set is still convex. Finally, we prove convexity of real solvability set (only real powers) for any tree network as well as for purely resistive networks with arbitrary topology.en_US
dc.relation.haspart08502879.pdfen_US
dc.subjectpower systems|Algebraic/geometric methodsen_US
dc.titleConvexity of Solvability Set of Power Distribution Networksen_US
dc.title.alternativeIEEE Control Systems Lettersen_US
dc.typeArticleen_US
dc.journal.volumeVolumeen_US
dc.journal.issueIssueen_US
dc.journal.titleIEEE Control Systems Lettersen_US
Appears in Collections:New Ieee 2019

Files in This Item:
File Description SizeFormat 
08502879.pdf520.76 kBAdobe PDFThumbnail
Preview File
Full metadata record
DC FieldValueLanguage
dc.contributor.authorAnatoly Dymarsky|Konstantin Turitsynen_US
dc.date.accessioned2013en_US
dc.date.accessioned2021-05-16T17:43:34Z-
dc.date.available2021-05-16T17:43:34Z-
dc.date.issueden_US
dc.identifier.isbnen_US
dc.identifier.other10.1109/LCSYS.2018.2877442en_US
dc.identifier.urihttp://localhost/handle/Hannan/717001-
dc.description.abstractThe solvability set of a power network—the set of all power injection vectors for which the corresponding power flow equations admit a solution—is central to power systems stability and security, as well as to the tightness of optimal power flow relaxations. Whenever the solvability set is convex, this allows for substantial simplifications of various optimization and risk assessment algorithms. In this letter, we focus on the solvability set of power distribution networks and prove convexity of the full solvability set (real and reactive powers) for tree homogeneous networks with the same <inline-formula xmlns:mml= http://www.w3.org/1998/Math/MathML xmlns:xlink= http://www.w3.org/1999/xlink ><tex-math notation= LaTeX >$r/x$</tex-math></inline-formula> ratio for all elements. We also show this result can not be improved: once the network is not homogeneous, the convexity is immediately lost. It is nevertheless the case that if the network is almost homogeneous, a substantial practically important part of the solvability set is still convex. Finally, we prove convexity of real solvability set (only real powers) for any tree network as well as for purely resistive networks with arbitrary topology.en_US
dc.relation.haspart08502879.pdfen_US
dc.subjectpower systems|Algebraic/geometric methodsen_US
dc.titleConvexity of Solvability Set of Power Distribution Networksen_US
dc.title.alternativeIEEE Control Systems Lettersen_US
dc.typeArticleen_US
dc.journal.volumeVolumeen_US
dc.journal.issueIssueen_US
dc.journal.titleIEEE Control Systems Lettersen_US
Appears in Collections:New Ieee 2019

Files in This Item:
File Description SizeFormat 
08502879.pdf520.76 kBAdobe PDFThumbnail
Preview File