Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1109/TPWRS.2015.2443175 http://hdl.handle.net/11449/161463 |
Resumo: | This paper presents a novel mixed-integer secondorder cone programming model for the robust multi-stage substation expansion planning problem considering stochastic demand. The stochastic nature of the demands is considered through a robust model that uses chance constraints to guarantee that the substation capacity limits are satisfied within a given robustness probability. Furthermore, a multi-objective formulation that takes into account the total expected expansion planning cost and the robustness probability related to the violation of the substation capacity limits is proposed. The optimal solution of the proposed model is guaranteed by the convexity of the formulation, when classical optimization techniques are used in its solution. The results found (construction of new substations, reinforcement of existing substations, and service area of each substation) for two test systems demonstrate the efficiency and robustness of the proposed model. Additionally, Monte Carlo simulations were carried out in order to evaluate the extent to which the solutions found were able to satisfy the substation capacity limits. |
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Repositório Institucional da UNESP |
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2946 |
spelling |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic DemandMathematical programmingmulti-stage substation expansion planningrobust optimizationstochastic optimizationThis paper presents a novel mixed-integer secondorder cone programming model for the robust multi-stage substation expansion planning problem considering stochastic demand. The stochastic nature of the demands is considered through a robust model that uses chance constraints to guarantee that the substation capacity limits are satisfied within a given robustness probability. Furthermore, a multi-objective formulation that takes into account the total expected expansion planning cost and the robustness probability related to the violation of the substation capacity limits is proposed. The optimal solution of the proposed model is guaranteed by the convexity of the formulation, when classical optimization techniques are used in its solution. The results found (construction of new substations, reinforcement of existing substations, and service area of each substation) for two test systems demonstrate the efficiency and robustness of the proposed model. Additionally, Monte Carlo simulations were carried out in order to evaluate the extent to which the solutions found were able to satisfy the substation capacity limits.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)FEPISAFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Engn Eletr, Ilha Solteira, SP, BrazilUniv Estadual Campinas, UNICAMP, Dept Syst & Energy, Campinas, SP, BrazilUniv Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Engn Eletr, Ilha Solteira, SP, BrazilFAPESP: 2012/01100-6Ieee-inst Electrical Electronics Engineers IncUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Franco, John F. [UNESP]Rider, Marcos J.Romero, Ruben [UNESP]2018-11-26T16:32:50Z2018-11-26T16:32:50Z2016-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2125-2134application/pdfhttp://dx.doi.org/10.1109/TPWRS.2015.2443175Ieee Transactions On Power Systems. Piscataway: Ieee-inst Electrical Electronics Engineers Inc, v. 31, n. 3, p. 2125-2134, 2016.0885-8950http://hdl.handle.net/11449/16146310.1109/TPWRS.2015.2443175WOS:000375092200045WOS000375092200045.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIeee Transactions On Power Systems2,742info:eu-repo/semantics/openAccess2024-07-04T19:06:04Zoai:repositorio.unesp.br:11449/161463Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:58:54.076086Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
title |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
spellingShingle |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand Franco, John F. [UNESP] Mathematical programming multi-stage substation expansion planning robust optimization stochastic optimization |
title_short |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
title_full |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
title_fullStr |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
title_full_unstemmed |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
title_sort |
Robust Multi-Stage Substation Expansion Planning Considering Stochastic Demand |
author |
Franco, John F. [UNESP] |
author_facet |
Franco, John F. [UNESP] Rider, Marcos J. Romero, Ruben [UNESP] |
author_role |
author |
author2 |
Rider, Marcos J. Romero, Ruben [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Franco, John F. [UNESP] Rider, Marcos J. Romero, Ruben [UNESP] |
dc.subject.por.fl_str_mv |
Mathematical programming multi-stage substation expansion planning robust optimization stochastic optimization |
topic |
Mathematical programming multi-stage substation expansion planning robust optimization stochastic optimization |
description |
This paper presents a novel mixed-integer secondorder cone programming model for the robust multi-stage substation expansion planning problem considering stochastic demand. The stochastic nature of the demands is considered through a robust model that uses chance constraints to guarantee that the substation capacity limits are satisfied within a given robustness probability. Furthermore, a multi-objective formulation that takes into account the total expected expansion planning cost and the robustness probability related to the violation of the substation capacity limits is proposed. The optimal solution of the proposed model is guaranteed by the convexity of the formulation, when classical optimization techniques are used in its solution. The results found (construction of new substations, reinforcement of existing substations, and service area of each substation) for two test systems demonstrate the efficiency and robustness of the proposed model. Additionally, Monte Carlo simulations were carried out in order to evaluate the extent to which the solutions found were able to satisfy the substation capacity limits. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-05-01 2018-11-26T16:32:50Z 2018-11-26T16:32:50Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1109/TPWRS.2015.2443175 Ieee Transactions On Power Systems. Piscataway: Ieee-inst Electrical Electronics Engineers Inc, v. 31, n. 3, p. 2125-2134, 2016. 0885-8950 http://hdl.handle.net/11449/161463 10.1109/TPWRS.2015.2443175 WOS:000375092200045 WOS000375092200045.pdf |
url |
http://dx.doi.org/10.1109/TPWRS.2015.2443175 http://hdl.handle.net/11449/161463 |
identifier_str_mv |
Ieee Transactions On Power Systems. Piscataway: Ieee-inst Electrical Electronics Engineers Inc, v. 31, n. 3, p. 2125-2134, 2016. 0885-8950 10.1109/TPWRS.2015.2443175 WOS:000375092200045 WOS000375092200045.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Ieee Transactions On Power Systems 2,742 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2125-2134 application/pdf |
dc.publisher.none.fl_str_mv |
Ieee-inst Electrical Electronics Engineers Inc |
publisher.none.fl_str_mv |
Ieee-inst Electrical Electronics Engineers Inc |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128728547459072 |