Wirtinger's Calculus for the Load Flow in Power Distribution Grids

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 C...

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Autores:
Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/9205
Acceso en línea:
https://hdl.handle.net/20.500.12585/9205
Palabra clave:
Load flow
Newton's method
Power distribution grids
Power systems optimization and control
Wirtinger's-Calculus
Calculations
Electric load flow
Electric power transmission networks
MATLAB
Newton-Raphson method
Systems analysis
Load flow
Newton's methods
Power distribution grids
Power systems optimizations
Wirtinger's-Calculus
Electric power system control
Rights
restrictedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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oai_identifier_str oai:repositorio.utb.edu.co:20.500.12585/9205
network_acronym_str UTB2
network_name_str Repositorio Institucional UTB
repository_id_str
dc.title.none.fl_str_mv Wirtinger's Calculus for the Load Flow in Power Distribution Grids
title Wirtinger's Calculus for the Load Flow in Power Distribution Grids
spellingShingle Wirtinger's Calculus for the Load Flow in Power Distribution Grids
Load flow
Newton's method
Power distribution grids
Power systems optimization and control
Wirtinger's-Calculus
Calculations
Electric load flow
Electric power transmission networks
MATLAB
Newton-Raphson method
Systems analysis
Load flow
Newton's methods
Power distribution grids
Power systems optimizations
Wirtinger's-Calculus
Electric power system control
title_short Wirtinger's Calculus for the Load Flow in Power Distribution Grids
title_full Wirtinger's Calculus for the Load Flow in Power Distribution Grids
title_fullStr Wirtinger's Calculus for the Load Flow in Power Distribution Grids
title_full_unstemmed Wirtinger's Calculus for the Load Flow in Power Distribution Grids
title_sort Wirtinger's Calculus for the Load Flow in Power Distribution Grids
dc.contributor.editor.none.fl_str_mv Callejas J.D.C.
dc.subject.keywords.none.fl_str_mv Load flow
Newton's method
Power distribution grids
Power systems optimization and control
Wirtinger's-Calculus
Calculations
Electric load flow
Electric power transmission networks
MATLAB
Newton-Raphson method
Systems analysis
Load flow
Newton's methods
Power distribution grids
Power systems optimizations
Wirtinger's-Calculus
Electric power system control
topic Load flow
Newton's method
Power distribution grids
Power systems optimization and control
Wirtinger's-Calculus
Calculations
Electric load flow
Electric power transmission networks
MATLAB
Newton-Raphson method
Systems analysis
Load flow
Newton's methods
Power distribution grids
Power systems optimizations
Wirtinger's-Calculus
Electric power system control
description 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.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2020-03-26T16:33:13Z
dc.date.available.none.fl_str_mv 2020-03-26T16:33:13Z
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.type.driver.none.fl_str_mv info:eu-repo/semantics/conferenceObject
dc.type.hasversion.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.spa.none.fl_str_mv Conferencia
status_str publishedVersion
dc.identifier.citation.none.fl_str_mv 2018 IEEE ANDESCON, ANDESCON 2018 - Conference Proceedings
dc.identifier.isbn.none.fl_str_mv 9781538683729
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/9205
dc.identifier.doi.none.fl_str_mv 10.1109/ANDESCON.2018.8564691
dc.identifier.instname.none.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.none.fl_str_mv Repositorio UTB
dc.identifier.orcid.none.fl_str_mv 36449223500
57191493648
56919564100
identifier_str_mv 2018 IEEE ANDESCON, ANDESCON 2018 - Conference Proceedings
9781538683729
10.1109/ANDESCON.2018.8564691
Universidad Tecnológica de Bolívar
Repositorio UTB
36449223500
57191493648
56919564100
url https://hdl.handle.net/20.500.12585/9205
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.conferencedate.none.fl_str_mv 22 August 2018 through 24 August 2018
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/restrictedAccess
dc.rights.cc.none.fl_str_mv Atribución-NoComercial 4.0 Internacional
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
Atribución-NoComercial 4.0 Internacional
http://purl.org/coar/access_right/c_16ec
eu_rights_str_mv restrictedAccess
dc.format.medium.none.fl_str_mv Recurso electrónico
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
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institution Universidad Tecnológica de Bolívar
dc.source.event.none.fl_str_mv 9th IEEE ANDESCON, ANDESCON 2018
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spelling Callejas J.D.C.Garces A.Gil-González, WalterMontoya O.D.2020-03-26T16:33:13Z2020-03-26T16:33:13Z20182018 IEEE ANDESCON, ANDESCON 2018 - Conference Proceedings9781538683729https://hdl.handle.net/20.500.12585/920510.1109/ANDESCON.2018.8564691Universidad Tecnológica de BolívarRepositorio UTB364492235005719149364856919564100This 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.Institute of Electrical and Electronics Engineers Colombia Section;Institute of Electrical and Electronics Engineers Consejo AndinoRecurso electrónicoapplication/pdfengInstitute of Electrical and Electronics Engineers Inc.http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85060401628&doi=10.1109%2fANDESCON.2018.8564691&partnerID=40&md5=73fbac3a3daa959b91e1fb52d3dd0356Scopus2-s2.0-850604016289th IEEE ANDESCON, ANDESCON 2018Wirtinger's Calculus for the Load Flow in Power Distribution Gridsinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionConferenciahttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_c94fLoad flowNewton's methodPower distribution gridsPower systems optimization and controlWirtinger's-CalculusCalculationsElectric load flowElectric power transmission networksMATLABNewton-Raphson methodSystems analysisLoad flowNewton's methodsPower distribution gridsPower systems optimizationsWirtinger's-CalculusElectric power system control22 August 2018 through 24 August 2018EI-Hawary, M.E., Electrical power systems (1995) IEEE Press-Wiley Interscience, 1Cespedes, R., New method for the analysis of distribution networks (1990) IEEE Transactions on Power Delivery, 5 (1), pp. 391-396. , JanBolognani, S., Zampieri, S., On the existence and linear approximation of the power flow solution in power distribution networks (2015) Power Systems, IEEE Transactions on, PP (99), pp. 1-10Marti, J., Ahmadi, H., Bashualdo, L., Linear power-flow formulation based on a voltage-dependent load model (2013) Power Delivery, IEEE Transactions on, 28 (3), pp. 1682-1690. , JulyGarces, A., A linear three-phase load flow for power distribution systems (2015) Power Systems, IEEE Transactions on, PP (99), pp. 1-2Low, S.H., Convex relaxation of optimal power flow part i: Formulations and equivalence (2014) IEEE Transactions on Control of Network Systems, 1 (1), pp. 15-27. , MarchMiu, 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. , OctSur, U., Sarkar, G., A sufficient condition for multiple load flow solutions existence in three phase unbalanced active distribution networks (2017) IEEE Transactions on Circuits and Systems II: Express Briefs, PP (99), p. 1Chiang, H.D., Baran, M.E., On the existence and uniqueness of load flow solution for radial distribution power networks (1990) IEEE Transactions on Circuits and Systems, 37 (3), pp. 410-416. , MarWirtinger, W., Zur formalen theorie der funktionen von mehr komplexen veränderlichen (1927) Mathematische Annalen, 97 (1), pp. 357-375. , https://doi.org/10.1007/BF01447872, DecAmin, 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 HeidelbergBouboulis, P., (2010) Wirtinger's Calculus in General Hilbert Spaces, , Arxiv preprintFlanigan, F., (2010) Complex Variables. Dover Books on Mathematics, 1Savier, J.S., Das, D., Impact of network reconfiguration on loss allocation of radial distribution systems (2007) IEEE Transactions on Power Delivery, 22 (4), pp. 2473-2480. , Octhttp://purl.org/coar/resource_type/c_c94fTHUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/9205/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/9205oai:repositorio.utb.edu.co:20.500.12585/92052023-05-26 10:24:07.501Repositorio Institucional UTBrepositorioutb@utb.edu.co

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