A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models
This paper addresses the problems of power flow and optimal power flow analysis considering voltage-dependent load models from the convex point of view. First, Taylor series expansion method is employed for linearizing the power flow equations generating a set of affine h yperplanes. S econd, the se...
- Autores:
-
Gil-González, Walter
Garcés, A.
Casilimas-Peña, A.
Garrido Arévalo, Víctor Manuel
Montoya, Oscar
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9941
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9941
https://ieeexplore.ieee.org/document/9272042
- Palabra clave:
- Direct–current networks
Optimal power flow analysis
Sequential quadratic programming
Taylor’s based series expansion method
- Rights
- closedAccess
- License
- http://purl.org/coar/access_right/c_14cb
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|
dc.title.spa.fl_str_mv |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
title |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
spellingShingle |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models Direct–current networks Optimal power flow analysis Sequential quadratic programming Taylor’s based series expansion method |
title_short |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
title_full |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
title_fullStr |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
title_full_unstemmed |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
title_sort |
A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models |
dc.creator.fl_str_mv |
Gil-González, Walter Garcés, A. Casilimas-Peña, A. Garrido Arévalo, Víctor Manuel Montoya, Oscar |
dc.contributor.author.none.fl_str_mv |
Gil-González, Walter Garcés, A. Casilimas-Peña, A. Garrido Arévalo, Víctor Manuel Montoya, Oscar |
dc.subject.keywords.spa.fl_str_mv |
Direct–current networks Optimal power flow analysis Sequential quadratic programming Taylor’s based series expansion method |
topic |
Direct–current networks Optimal power flow analysis Sequential quadratic programming Taylor’s based series expansion method |
description |
This paper addresses the problems of power flow and optimal power flow analysis considering voltage-dependent load models from the convex point of view. First, Taylor series expansion method is employed for linearizing the power flow equations generating a set of affine h yperplanes. S econd, the sequential quadratic programming (SQP) approach is employed for adjusting the linearization point to eliminate the voltage estimation error between the exact and proposed convex models recursively. Two voltage-dependent load models are considered in our power flow a nd o ptimal p ower fl ow pr oposals wh ich based on the exponential and polynomial models. General algebraic modeling system (GAMS) and its nonlinear optimization packages are employed for comparison purposes. Two DC-test systems with 6 and 21 nodes are used to validate the performance of the SQP proposed. The proposed SQP approach is implemented in MATLAB software with quadprog toolbox. |
publishDate |
2020 |
dc.date.issued.none.fl_str_mv |
2020-12-01 |
dc.date.accessioned.none.fl_str_mv |
2021-02-08T14:58:48Z |
dc.date.available.none.fl_str_mv |
2021-02-08T14:58:48Z |
dc.date.submitted.none.fl_str_mv |
2021-02-03 |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/lecture |
dc.type.hasversion.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.spa.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_8544 |
status_str |
publishedVersion |
dc.identifier.citation.spa.fl_str_mv |
W. Gil-González, A. Garces, A. Casilimas-Peña, V. M. Garrido and O. Montoya, "A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models," 2020 IEEE ANDESCON, Quito, Ecuador, 2020, pp. 1-6, doi: 10.1109/ANDESCON50619.2020.9272042. |
dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/9941 |
dc.identifier.url.none.fl_str_mv |
https://ieeexplore.ieee.org/document/9272042 |
dc.identifier.doi.none.fl_str_mv |
10.1109/ANDESCON50619.2020.9272042. |
dc.identifier.instname.spa.fl_str_mv |
Universidad Tecnológica de Bolívar |
dc.identifier.reponame.spa.fl_str_mv |
Repositorio Universidad Tecnológica de Bolívar |
identifier_str_mv |
W. Gil-González, A. Garces, A. Casilimas-Peña, V. M. Garrido and O. Montoya, "A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models," 2020 IEEE ANDESCON, Quito, Ecuador, 2020, pp. 1-6, doi: 10.1109/ANDESCON50619.2020.9272042. 10.1109/ANDESCON50619.2020.9272042. Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
url |
https://hdl.handle.net/20.500.12585/9941 https://ieeexplore.ieee.org/document/9272042 |
dc.language.iso.spa.fl_str_mv |
eng |
language |
eng |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_14cb |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/closedAccess |
eu_rights_str_mv |
closedAccess |
rights_invalid_str_mv |
http://purl.org/coar/access_right/c_14cb |
dc.format.extent.none.fl_str_mv |
6 páginas |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.place.spa.fl_str_mv |
Cartagena de Indias |
dc.source.spa.fl_str_mv |
2020 IEEE ANDESCON |
institution |
Universidad Tecnológica de Bolívar |
bitstream.url.fl_str_mv |
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Gil-González, Walterce1f5078-74c6-4b5c-b56a-784f85e52a08Garcés, A.a200514e-3b0c-4824-8d29-f80875fadd0aCasilimas-Peña, A.f04d5d6b-2f3b-472c-9f92-5f86a6b75d69Garrido Arévalo, Víctor Manuel5c72390f-bbbf-414d-bd59-09c2e872bf1dMontoya, Oscar008c220c-d50f-41c7-8294-a0fd23bfd9f22021-02-08T14:58:48Z2021-02-08T14:58:48Z2020-12-012021-02-03W. Gil-González, A. Garces, A. Casilimas-Peña, V. M. Garrido and O. Montoya, "A Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Models," 2020 IEEE ANDESCON, Quito, Ecuador, 2020, pp. 1-6, doi: 10.1109/ANDESCON50619.2020.9272042.https://hdl.handle.net/20.500.12585/9941https://ieeexplore.ieee.org/document/927204210.1109/ANDESCON50619.2020.9272042.Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper addresses the problems of power flow and optimal power flow analysis considering voltage-dependent load models from the convex point of view. First, Taylor series expansion method is employed for linearizing the power flow equations generating a set of affine h yperplanes. S econd, the sequential quadratic programming (SQP) approach is employed for adjusting the linearization point to eliminate the voltage estimation error between the exact and proposed convex models recursively. Two voltage-dependent load models are considered in our power flow a nd o ptimal p ower fl ow pr oposals wh ich based on the exponential and polynomial models. General algebraic modeling system (GAMS) and its nonlinear optimization packages are employed for comparison purposes. Two DC-test systems with 6 and 21 nodes are used to validate the performance of the SQP proposed. The proposed SQP approach is implemented in MATLAB software with quadprog toolbox.6 páginasapplication/pdfeng2020 IEEE ANDESCONA Convex OPF Approximation for DC Networks Considering Voltage-Dependent Load Modelsinfo:eu-repo/semantics/lectureinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_8544http://purl.org/coar/version/c_970fb48d4fbd8a85Direct–current networksOptimal power flow analysisSequential quadratic programmingTaylor’s based series expansion methodinfo:eu-repo/semantics/closedAccesshttp://purl.org/coar/access_right/c_14cbCartagena de IndiasInvestigadoresW Simpson-Porco, F. Dorfler y F. Bullo, "Sobre redes resistivas de dispositivos de potencia constante", IEEE Trans. Circuitos Syst. II Express Briefs , vol. 62, no. 8, págs.811-815, agosto de 2015.S. Parhizi, H. Lotfi, A. Khodaei and S. Bahramirad, "State of the art in research on microgrids: A review", IEEE Access, vol. 3, pp. 890-925, 2015.O. D. Montoya, L. F. Grisales-Noreña, D. González-Montoya, C. Ramos-Paja and A. Garces, "Linear power flow formulation for low-voltage DC power grids", Electr. Power Syst. Res, vol. 163, pp. 375-381, 2018.A. Garces, "Uniqueness of the power flow solutions in low voltage direct current grids", Electr. Power Syst. Res, vol. 151, no. Supplement C, pp. 149-153, 2017.N. Barabanov, R. Ortega and R. G. B. Polyak, "On existence and stability of equilibria of linear time-invariant systems with constant power loads", IEEE Trans. Circuits Syst. I Regul. Pap, vol. 63, no. 1, pp. 114-121, Jan 2016.D. Karimipour and F. R. Salmasi, "Stability Analysis of AC Microgrids With Constant Power Loads Based on Popov’s Absolute Stability Criterion", IEEE Trans. Circuits Syst. II Express Briefs, vol. 62, no. 7, pp. 696-700, July 2015.M. Su, Z. Liu, Y. Sun, H. Han and X. Hou, "Stability analysis and stabilization methods of dc microgrid with multiple parallel-connected dc–dc converters loaded by cpls", IEEE Transactions on Smart Grid, vol. 9, no. 1, pp. 132-142, Jan 2018.Y. Gu, W. Li and X. He, "Passivity-based control of dc microgrid for self-disciplined stabilization", IEEE Transactions on Power Systems, vol. 30, no. 5, pp. 2623-2632, Sep. 2015.O. D. Montoya, W. Gil-González and A. Garces, "Sequential quadratic programming models for solving the OPF problem in DC grids", Electr. Power Syst. Res, vol. 169, pp. 18-23, 2019.A. Garces, "On Convergence of Newtons Method in Power Flow Study for DC Microgrids", IEEE Trans. Power Syst, pp. 1-1, 2018.O. D. Montoya, V. M. Garrido, W. Gil-González and L. Grisales-Noreãa, "Power Flow Analysis in DC Grids: Two Alternative Numerical Methods", IEEE Trans. Circuits Syst. II, pp. 1-1, 2019.O. D. Montoya, "On Linear Analysis of the Power Flow Equations for DC and AC Grids with CPLs", IEEE Trans. Circuits Syst. II, pp. 1-1, 2019.J. Li, F. Liu, Z. Wang, S. Low and S. Mei, "Optimal Power Flow in Stand-alone DC Microgrids", IEEE Trans. Power Syst, pp. 1-1, 2018.W. Gil-González, O. D. Montoya, E. Holguín, A. Garces and L. F. Grisales-Noreña, "Economic dispatch of energy storage systems in dc microgrids employing a semidefinite programming model", Journal of Energy Storage, vol. 21, pp. 1-8, 2019O. D. Montoya, "Numerical Approximation of the Maximum Power Consumption in DC-MGs with CPLs via an SDP Model", IEEE Trans. Circuits Syst. II, pp. 1-1, 2018.S. Bahrami, F. Therrien, V. W. S. Wong and J. Jatskevich, "Semidefinite Relaxation of Optimal Power Flow for AC–DC Grids", IEEE Trans. Power Syst, vol. 32, no. 1, pp. 289-304, Jan 2017.M. Baradar, M. R. Hesamzadeh and M. Ghandhari, "Second-Order Cone Programming for Optimal Power Flow in VSC-Type AC-DC Grids", IEEE Trans. Power Syst, vol. 28, no. 4, pp. 4282-4291, Nov 2013.O. D. Montoya, W. Gil-González and A. Garces, "Optimal Power Flow on DC Microgrids: A Quadratic Convex Approximation", IEEE Trans. Circuits Syst. II, pp. 1-1, 2018.H. Yuan, F. Li, H. Cui, X. Lu, D. Shi and Z. Wang, "A measurement-based VSI for voltage dependent loads using angle difference between tangent lines of load and PV curves", Electr. Power Syst. Res, vol. 160, pp. 13-16, 2018.J. R. Martí, H. Ahmadi and L. Bashualdo, "Linear Power-Flow Formulation Based on a Voltage-Dependent Load Model", IEEE Trans. Power Del, vol. 28, no. 3, pp. 1682-1690, July 2013.Z. Li, J. Yu and Q. H. Wu, "Approximate Linear Power Flow Using Logarithmic Transform of Voltage Magnitudes With Reactive Power and Transmission Loss Consideration", IEEE Trans. Power Syst, vol. 33, no. 4, pp. 4593-4603, July 2018.C. Gavriluta, I. Candela, C. Citro, A. Luna and P. Rodriguez, "Design considerations for primary control in multi-terminal VSC-HVDC grids", Electr. Power Syst. Res, vol. 122, pp. 33-41, 2015.http://purl.org/coar/resource_type/c_c94fORIGINAL108.pdf108.pdfAbstractapplication/pdf61254https://repositorio.utb.edu.co/bitstream/20.500.12585/9941/1/108.pdfe210f0f2ffb4cf45f15c42cb32f9d3e2MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-83182https://repositorio.utb.edu.co/bitstream/20.500.12585/9941/2/license.txte20ad307a1c5f3f25af9304a7a7c86b6MD52TEXT108.pdf.txt108.pdf.txtExtracted texttext/plain1069https://repositorio.utb.edu.co/bitstream/20.500.12585/9941/3/108.pdf.txt4f428fda458112798614bcfcc7894dc0MD53THUMBNAIL108.pdf.jpg108.pdf.jpgGenerated Thumbnailimage/jpeg49230https://repositorio.utb.edu.co/bitstream/20.500.12585/9941/4/108.pdf.jpg94d0f516599079cd101a70352b42ebbbMD5420.500.12585/9941oai:repositorio.utb.edu.co:20.500.12585/99412023-05-26 10:06:03.798Repositorio Institucional 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