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dc.contributor.authorŠevčík, Jakub
dc.contributor.authorAdam, Lukáš
dc.contributor.authorPřikryl, Jan
dc.contributor.authorŠmídl, Václav
dc.date.accessioned2021-12-13T11:00:20Z-
dc.date.available2021-12-13T11:00:20Z-
dc.date.issued2021
dc.identifier.citationŠEVČÍK, J. ADAM, L. PŘIKRYL, J. ŠMÍDL, V. Solvability of the power flow problem in DC overhead wire circuit modeling. Applications of Mathematics, 2021, roč. 66, č. 6, s. 837-855. ISSN: 0862-7940cs
dc.identifier.issn0862-7940
dc.identifier.uri2-s2.0-85115339117
dc.identifier.urihttp://hdl.handle.net/11025/46325
dc.format19 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherInstitute of Mathematics, Czech Academy of Sciencesen
dc.relation.ispartofseriesApplications of Mathematicsen
dc.rights© Institute of Mathematics, Czech Academy of Sciencesen
dc.titleSolvability of the power flow problem in DC overhead wire circuit modelingen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedProper traffic simulation of electric vehicles, which draw energy from overhead wires, requires adequate modeling of traction infrastructure. Such vehicles include trains, trams or trolleybuses. Since the requested power demands depend on a traffic situation, the overhead wire DC electrical circuit is associated with a non-linear power flow problem. Al- though the Newton-Raphson method is well-known and widely accepted for seeking its solu- tion, the existence of such a solution is not guaranteed. Particularly in situations where the vehicle power demands are too high (during acceleration), the solution of the studied prob- lem may not exist. To deal with such cases, we introduce a numerical method which seeks maximal suppliable power demands for which the solution exists. This corresponds to intro- ducing a scaling parameter to reduce the demanded power. The interpretation of the scaling parameter is the amount of energy which is absent in the system, and which needs to be provided by external sources such as on-board batteries. We propose an efficient two-stage algorithm to find the optimal scaling parameter and the resulting potentials in the overhead wire network. We perform a comparison with a naive approach and present a real-world sim- ulation in the part of the Pilsen city in the Czech Republic. These simulations are performed in the traffic micro-simulator SUMO, a popular open-source traffic simulation platform.en
dc.subject.translatedpower flow problemen
dc.subject.translatedNewton-Raphson methoden
dc.subject.translatedsolvabilityen
dc.subject.translatedscaling parameteren
dc.identifier.doi10.21136/AM.2021.0280-20
dc.type.statusPeer-revieweden
dc.identifier.document-number698335400001
dc.identifier.obd43933574
dc.project.IDEF18_069/0009855/Elektrotechnické technologie s vysokým podílem vestavěné inteligencecs
dc.project.IDSGS-2021-021/Výzkum a vývoj perspektivních technologií v elektrických pohonech a strojích IVcs
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