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Wirtinger's Calculus for the Load Flow in Power Distribution Grids
dc.contributor.editor | Callejas J.D.C. | |
dc.creator | Garces A. | |
dc.creator | Gil-González, Walter | |
dc.creator | Montoya O.D. | |
dc.date.accessioned | 2020-03-26T16:33:13Z | |
dc.date.available | 2020-03-26T16:33:13Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | 2018 IEEE ANDESCON, ANDESCON 2018 - Conference Proceedings | |
dc.identifier.isbn | 9781538683729 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12585/9205 | |
dc.description.abstract | This paper shows a Wirtinger's-Calculus based loadflow methodology for power distribution grids. This approach allows to obtain an algorithm which works directly on the complex domain maintaining some useful symmetries and a compact representation. The paper aims to introduce Wirtinger's Calculus as a suitable tool for power systems analysis; therefore, it is presented as a tutorial, playing especial attention on the implementation in modern scrip languages such as Matlab/Oc-tave, which allow easy representation and fast complex-array calculations. A Newton's-based method is proposed in which the Jacobian is replaced by Wirtinger's derivatives obtaining a compact representation. Simulation results complement the analysis. Despite being a mature theory, Wirtinger's-Calculus has not been applied before in this type of problems. © 2018 IEEE. | eng |
dc.description.sponsorship | Institute of Electrical and Electronics Engineers Colombia Section;Institute of Electrical and Electronics Engineers Consejo Andino | |
dc.format.medium | Recurso electrónico | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Institute of Electrical and Electronics Engineers Inc. | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85060401628&doi=10.1109%2fANDESCON.2018.8564691&partnerID=40&md5=73fbac3a3daa959b91e1fb52d3dd0356 | |
dc.source | Scopus2-s2.0-85060401628 | |
dc.title | Wirtinger's Calculus for the Load Flow in Power Distribution Grids | |
dcterms.bibliographicCitation | EI-Hawary, M.E., Electrical power systems (1995) IEEE Press-Wiley Interscience, 1 | |
dcterms.bibliographicCitation | Cespedes, R., New method for the analysis of distribution networks (1990) IEEE Transactions on Power Delivery, 5 (1), pp. 391-396. , Jan | |
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dcterms.bibliographicCitation | Miu, K.N., Chiang, H.-D., Existence, uniqueness, and monotonic properties of the feasible power flow solution for radial three-phase distribution networks (2000) IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47 (10), pp. 1502-1514. , Oct | |
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dcterms.bibliographicCitation | Wirtinger, W., Zur formalen theorie der funktionen von mehr komplexen veränderlichen (1927) Mathematische Annalen, 97 (1), pp. 357-375. , https://doi.org/10.1007/BF01447872, Dec | |
dcterms.bibliographicCitation | Amin, M.F., Amin, M.I., Al-Nuaimi, A.Y.H., Murase, K., Wirtinger calculus based gradient descent and levenberg-marquardt learning algorithms in complex-valued neural networks (2011) Neural Information Processing, pp. 550-559. , B.-L. Lu, L. Zhang, and J. Kwok, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg | |
dcterms.bibliographicCitation | Bouboulis, P., (2010) Wirtinger's Calculus in General Hilbert Spaces, , Arxiv preprint | |
dcterms.bibliographicCitation | Flanigan, F., (2010) Complex Variables. Dover Books on Mathematics, 1 | |
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datacite.rights | http://purl.org/coar/access_right/c_16ec | |
oaire.resourceType | http://purl.org/coar/resource_type/c_c94f | |
oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
dc.source.event | 9th IEEE ANDESCON, ANDESCON 2018 | |
dc.type.driver | info:eu-repo/semantics/conferenceObject | |
dc.type.hasversion | info:eu-repo/semantics/publishedVersion | |
dc.identifier.doi | 10.1109/ANDESCON.2018.8564691 | |
dc.subject.keywords | Load flow | |
dc.subject.keywords | Newton's method | |
dc.subject.keywords | Power distribution grids | |
dc.subject.keywords | Power systems optimization and control | |
dc.subject.keywords | Wirtinger's-Calculus | |
dc.subject.keywords | Calculations | |
dc.subject.keywords | Electric load flow | |
dc.subject.keywords | Electric power transmission networks | |
dc.subject.keywords | MATLAB | |
dc.subject.keywords | Newton-Raphson method | |
dc.subject.keywords | Systems analysis | |
dc.subject.keywords | Load flow | |
dc.subject.keywords | Newton's methods | |
dc.subject.keywords | Power distribution grids | |
dc.subject.keywords | Power systems optimizations | |
dc.subject.keywords | Wirtinger's-Calculus | |
dc.subject.keywords | Electric power system control | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.rights.cc | Atribución-NoComercial 4.0 Internacional | |
dc.identifier.instname | Universidad Tecnológica de Bolívar | |
dc.identifier.reponame | Repositorio UTB | |
dc.relation.conferencedate | 22 August 2018 through 24 August 2018 | |
dc.type.spa | Conferencia | |
dc.identifier.orcid | 36449223500 | |
dc.identifier.orcid | 57191493648 | |
dc.identifier.orcid | 56919564100 |
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