Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions

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dc.contributor.authorWu, Dan
dc.contributor.authorWang, Bin
dc.creator.orcidhttps://orcid.org/0000-0003-4199-4403en_US
dc.date.accessioned2023-04-27T16:58:23Z
dc.date.available2023-04-27T16:58:23Z
dc.date.issued2019-06-27
dc.description.abstractIn this paper, we propose an efficient continuation method for locating multiple power flow solutions. We adopt the holomorphic embedding technique to represent solution curves as holomorphic functions in the complex plane. The holomorphicity, which provides global information of the curve at any regular point, enables large step sizes in the path-following procedure such that non-singular curve segments can be traversed with very few steps. When approaching singular points, we switch to the traditional predictor-corrector routine to pass through them and switch back afterward to the holomorphic embedding routine. We also propose a warm starter when switching to the predictor-corrector routine, i.e., a large initial step size based on the poles of the Padé approximation of the derived holomorphic function, since these poles reveal the locations of singularities on the curve. The numerical analysis and experiments on many standard IEEE test cases are presented, along with the comparison to the full predictor-corrector routine, confirming the efficiency of the method.en_US
dc.description.departmentElectrical and Computer Engineeringen_US
dc.identifier.citationWu, D., & Wang, B. (2019). Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions. IEEE Access, 7, 86843-86853. doi:10.1109/ACCESS.2019.2925384en_US
dc.identifier.issn2169-3536
dc.identifier.otherhttps://doi.org/10.1109/ACCESS.2019.2925384
dc.identifier.urihttps://hdl.handle.net/20.500.12588/1821
dc.language.isoen_USen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.subjectload flowen_US
dc.subjectprediction algorithmsen_US
dc.subjectpower gridsen_US
dc.subjectswitchesen_US
dc.subjectreactive poweren_US
dc.subjectstandardsen_US
dc.subjectpower flow problemen_US
dc.subjectholomorphic embeddingen_US
dc.subjectcontinuationen_US
dc.titleHolomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutionsen_US
dc.typeArticleen_US

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