Linear power flow formulation for low-voltage DC power grids

This paper presents a reformulation of the power flow problem in low-voltage dc (LVDC) power grids via Taylor's series expansion. The solution of the original nonlinear quadratic model is achieved with this proposed formulation with minimal error when the dc network has a well defined operative...

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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:20.500.12585/8865
Acceso en línea:
https://hdl.handle.net/20.500.12585/8865
Palabra clave:
Convex approximation
Linear approximation
Low-voltage dc power grids
Nonlinear power flow equations
Taylor's series expansion
C++ (programming language)
Electric load flow
Iterative methods
MATLAB
Nonlinear equations
Numerical methods
Taylor series
Convex approximation
Linear approximations
Low voltages
Nonlinear power flow
Taylor's series expansion
Electric power transmission networks
Rights
restrictedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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network_acronym_str UTB2
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repository_id_str
dc.title.none.fl_str_mv Linear power flow formulation for low-voltage DC power grids
title Linear power flow formulation for low-voltage DC power grids
spellingShingle Linear power flow formulation for low-voltage DC power grids
Convex approximation
Linear approximation
Low-voltage dc power grids
Nonlinear power flow equations
Taylor's series expansion
C++ (programming language)
Electric load flow
Iterative methods
MATLAB
Nonlinear equations
Numerical methods
Taylor series
Convex approximation
Linear approximations
Low voltages
Nonlinear power flow
Taylor's series expansion
Electric power transmission networks
title_short Linear power flow formulation for low-voltage DC power grids
title_full Linear power flow formulation for low-voltage DC power grids
title_fullStr Linear power flow formulation for low-voltage DC power grids
title_full_unstemmed Linear power flow formulation for low-voltage DC power grids
title_sort Linear power flow formulation for low-voltage DC power grids
dc.subject.keywords.none.fl_str_mv Convex approximation
Linear approximation
Low-voltage dc power grids
Nonlinear power flow equations
Taylor's series expansion
C++ (programming language)
Electric load flow
Iterative methods
MATLAB
Nonlinear equations
Numerical methods
Taylor series
Convex approximation
Linear approximations
Low voltages
Nonlinear power flow
Taylor's series expansion
Electric power transmission networks
topic Convex approximation
Linear approximation
Low-voltage dc power grids
Nonlinear power flow equations
Taylor's series expansion
C++ (programming language)
Electric load flow
Iterative methods
MATLAB
Nonlinear equations
Numerical methods
Taylor series
Convex approximation
Linear approximations
Low voltages
Nonlinear power flow
Taylor's series expansion
Electric power transmission networks
description This paper presents a reformulation of the power flow problem in low-voltage dc (LVDC) power grids via Taylor's series expansion. The solution of the original nonlinear quadratic model is achieved with this proposed formulation with minimal error when the dc network has a well defined operative conditions. The proposed approach provides an explicit solution of the power flow equations system, which avoids the use of iterative methods. Such a characteristic enables to provide accurate results with very short processing times when real operating scenarios of dc power grids are analyzed. Simulation results verify the precision and speed of the proposed method in comparison to classical numerical methods for both radial and mesh configurations. Those simulations were performed using C++ and MATLAB, which are programming environments commonly adopted to solve power flows. © 2018 Elsevier B.V.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2020-03-26T16:32:31Z
dc.date.available.none.fl_str_mv 2020-03-26T16:32:31Z
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dc.type.spa.none.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.citation.none.fl_str_mv Electric Power Systems Research; Vol. 163, pp. 375-381
dc.identifier.issn.none.fl_str_mv 03787796
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/8865
dc.identifier.doi.none.fl_str_mv 10.1016/j.epsr.2018.07.003
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 56919564100
55791991200
57202996445
22836502400
36449223500
identifier_str_mv Electric Power Systems Research; Vol. 163, pp. 375-381
03787796
10.1016/j.epsr.2018.07.003
Universidad Tecnológica de Bolívar
Repositorio UTB
56919564100
55791991200
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url https://hdl.handle.net/20.500.12585/8865
dc.language.iso.none.fl_str_mv eng
language eng
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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
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dc.format.medium.none.fl_str_mv Recurso electrónico
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dc.publisher.none.fl_str_mv Elsevier Ltd
publisher.none.fl_str_mv Elsevier Ltd
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spelling 2020-03-26T16:32:31Z2020-03-26T16:32:31Z2018Electric Power Systems Research; Vol. 163, pp. 375-38103787796https://hdl.handle.net/20.500.12585/886510.1016/j.epsr.2018.07.003Universidad Tecnológica de BolívarRepositorio UTB5691956410055791991200572029964452283650240036449223500This paper presents a reformulation of the power flow problem in low-voltage dc (LVDC) power grids via Taylor's series expansion. The solution of the original nonlinear quadratic model is achieved with this proposed formulation with minimal error when the dc network has a well defined operative conditions. The proposed approach provides an explicit solution of the power flow equations system, which avoids the use of iterative methods. Such a characteristic enables to provide accurate results with very short processing times when real operating scenarios of dc power grids are analyzed. Simulation results verify the precision and speed of the proposed method in comparison to classical numerical methods for both radial and mesh configurations. Those simulations were performed using C++ and MATLAB, which are programming environments commonly adopted to solve power flows. © 2018 Elsevier B.V.Universidad Nacional de Colombia Universidad Tecnológica Nacional Departamento Administrativo de Ciencia, Tecnología e Innovación, COLCIENCIAS: P-17211, UNAL-ITM-39823This work was supported by Universidad Tecnológica de Bolivar , Universidad Tecnológica de Pereira , Instituto Tecnológico Metropolitano , Universidad Nacional de Colombia and COLCIENCIAS under the research projects P-17211 and UNAL-ITM-39823 and the Doctoral Scholarship 727-2015. Moreover, this work was also supported by the PhD program in Engineering of the Universidad Tecnológica de Pereira and the Ph.D. program “Doctorado en Ingeniería – Línea de Investigación en Automática” of the Universidad Nacional de Colombia.Recurso electrónicoapplication/pdfengElsevier Ltdhttp://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-s2.0-85050132713&doi=10.1016%2fj.epsr.2018.07.003&partnerID=40&md5=3823f68cab40910397b872622d6ee94cLinear power flow formulation for low-voltage DC power gridsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Convex approximationLinear approximationLow-voltage dc power gridsNonlinear power flow equationsTaylor's series expansionC++ (programming language)Electric load flowIterative methodsMATLABNonlinear equationsNumerical methodsTaylor seriesConvex approximationLinear approximationsLow voltagesNonlinear power flowTaylor's series expansionElectric power transmission networksMontoya O.D.Grisales-Noreña L.F.González-Montoya D.Ramos-Paja C.A.Garces A.Elsayed, A.T., Mohamed, A.A., Mohammed, O.A., DC microgrids and distribution systems: an overview (2015) Electr. Power Syst. Res., 119, pp. 407-417Parhizi, S., Lotfi, H., Khodaei, A., Bahramirad, S., State of the art in research on microgrids: a review (2015) IEEE Access, 3, pp. 890-925Sreedharan, P., Farbes, J., Cutter, E., Woo, C.K., Wang, J., Microgrid and renewable generation integration: University of California, San Diego (2016) Appl. Energy, 169, pp. 709-720Garces, A., Uniqueness of the power flow solutions in low voltage direct current grids (2017) Electr. Power Syst. Res., 151, pp. 149-153Garces, A., A linear three-phase load flow for power distribution systems (2016) IEEE Trans. Power Syst., 31, pp. 827-828Machado, J.E., Griñó, R., Barabanov, N., Ortega, R., Polyak, B., On existence of equilibria of multi-port linear ac networks with constant-power loads (2017) IEEE Trans. Circuits Syst. I: Regul. Pap., 64, pp. 2772-2782Dragicevic, T., Lu, X., Vasquez, J.C., Guerrero, J.M., DC microgrids – Part I: A review of control strategies and stabilization techniques (2016) IEEE Trans. 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