Mixed-Integer Conic Formulation of Unit Commitment with Stochastic Wind Power

Due to the high randomness and volatility of renewable energy sources such as wind energy, the traditional thermal unit commitment (UC) model is no longer applicable. In this paper, in order to reduce the possible negative effects of an inaccurate wind energy forecast, the chance-constrained program...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Mathematics (Basel) Ročník 11; číslo 2; s. 346
Hlavní autori:	Zheng, Haiyan, Huang, Liying, Quan, Ran
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Basel MDPI AG 01.01.2023
Predmet:	Alternative energy sources Approximation chance-constrained programming Constraints Food science Generators Linear programming Mathematical models Mixed integer mixed-integer second-order conic programming Optimization Quadratic programming Random variables Randomness Renewable energy sources Renewable resources sample average approximation Software stochastic wind power Unit commitment Wind effects Wind power Wind power generation
ISSN:	2227-7390, 2227-7390
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Abstract	Due to the high randomness and volatility of renewable energy sources such as wind energy, the traditional thermal unit commitment (UC) model is no longer applicable. In this paper, in order to reduce the possible negative effects of an inaccurate wind energy forecast, the chance-constrained programming (CCP) method is used to study the UC problem with uncertainty wind power generation, and chance constraints such as power balance and spinning reserve are satisfied with a predetermined probability. In order to effectively solve the CCP problem, first, we used the sample average approximation (SAA) method to transform the chance constraints into deterministic constraints and to obtain a mixed-integer quadratic programming (MIQP) model. Then, the quadratic terms were incorporated into the constraints by introducing some auxiliary variables, and some second-order cone constraints were formed by combining them with the output characteristics of thermal unit; therefore, a tighter mixed-integer second-order cone programming (MISOCP) formulation was obtained. Finally, we applied this method to some systems including 10 to 100 thermal units and 1 to 2 wind units, and we invoked MOSEK in MATLAB to solve the MISOCP formulation. The numerical results obtained within 24 h confirm that not only is the MISOCP formulation a successful reformulation that can achieve better suboptimal solutions, but it is also a suitable method for solving the large-scale uncertain UC problem. In addition, for systems of up to 40 units within 24 h that do not consider wind power and pollution emissions, the numerical results were compared with those of previously published methods, showing that the MISOCP formulation is very promising, given its excellent performance.
AbstractList	Due to the high randomness and volatility of renewable energy sources such as wind energy, the traditional thermal unit commitment (UC) model is no longer applicable. In this paper, in order to reduce the possible negative effects of an inaccurate wind energy forecast, the chance-constrained programming (CCP) method is used to study the UC problem with uncertainty wind power generation, and chance constraints such as power balance and spinning reserve are satisfied with a predetermined probability. In order to effectively solve the CCP problem, first, we used the sample average approximation (SAA) method to transform the chance constraints into deterministic constraints and to obtain a mixed-integer quadratic programming (MIQP) model. Then, the quadratic terms were incorporated into the constraints by introducing some auxiliary variables, and some second-order cone constraints were formed by combining them with the output characteristics of thermal unit; therefore, a tighter mixed-integer second-order cone programming (MISOCP) formulation was obtained. Finally, we applied this method to some systems including 10 to 100 thermal units and 1 to 2 wind units, and we invoked MOSEK in MATLAB to solve the MISOCP formulation. The numerical results obtained within 24 h confirm that not only is the MISOCP formulation a successful reformulation that can achieve better suboptimal solutions, but it is also a suitable method for solving the large-scale uncertain UC problem. In addition, for systems of up to 40 units within 24 h that do not consider wind power and pollution emissions, the numerical results were compared with those of previously published methods, showing that the MISOCP formulation is very promising, given its excellent performance.
Author	Huang, Liying Zheng, Haiyan Quan, Ran
Author_xml	– sequence: 1 givenname: Haiyan surname: Zheng fullname: Zheng, Haiyan – sequence: 2 givenname: Liying surname: Huang fullname: Huang, Liying – sequence: 3 givenname: Ran surname: Quan fullname: Quan, Ran
BookMark	eNptkE1LAzEQhoMo-NWbP2DBq6vZZDdpjlKsFioKWjyG2c2sTekmNZtS_femVkTEucww88w7w3tM9p13SMhZQS85V_SqgzgvCsooL8UeOWKMyVymwf6v-pAM-n5BU6iCD0t1RO7v7TuafOIivmLIRt7ZJhv70K2XEK13mW-zmbMxTbrOxg5dzDY2zrOn6Js59DHhL9aZ7NFvMJySgxaWPQ6-8wmZjW-eR3f59OF2Mrqe5g0XMuY1KtkwCrRhBdRtIWqqhGKAQ5CVMqKthKQSpamV4QKZrKoWCuRIFVVVa_gJmex0jYeFXgXbQfjQHqz-avjwqiGk15aopZBcCMGgoWXJwSjBa8ERTE0lrcQwaZ3vtFbBv62xj3rh18Gl9zVLy4wPVbmlLnZUE3zfB2x_rhZUb_3Xv_1POPuDNzZ-GRoD2OX_S58PYomY
CitedBy_id	crossref_primary_10_3390_math12111747 crossref_primary_10_3390_math12193024 crossref_primary_10_1002_eng2_70158
Cites_doi	10.1109/TPWRS.2022.3204563 10.1016/j.energy.2018.07.181 10.1109/TPWRS.2014.2319260 10.1016/j.apenergy.2022.118813 10.1016/j.orl.2008.12.009 10.1109/ICCUBEA.2018.8697562 10.1109/TPWRS.2019.2930571 10.1016/j.apenergy.2019.113784 10.1109/TPWRS.2015.2513395 10.1016/j.energy.2018.07.025 10.1109/TPWRS.2011.2159522 10.1016/j.apenergy.2020.116081 10.1109/TPWRS.2008.926719 10.1007/s00202-010-0177-z 10.1109/TPWRS.2019.2960389 10.1016/j.rser.2020.110504 10.1007/s10957-016-0943-9 10.1016/j.enconman.2017.03.025 10.1016/j.energy.2014.02.014 10.1109/TPWRS.2006.876672 10.1007/978-981-13-9263-4_5 10.1109/INTERCON.2018.8526431 10.1016/j.ijepes.2014.03.061 10.1016/j.energy.2021.121829 10.1016/j.ejco.2022.100030 10.1007/s00202-021-01360-z 10.1109/TPWRS.2003.820707 10.1007/978-3-540-68891-4_1 10.1016/j.enconman.2020.112902 10.1016/j.jclepro.2020.120456 10.1016/j.cor.2021.105398 10.1109/TPWRS.2013.2251373 10.1109/TPWRS.2013.2253136 10.1109/TPWRS.2019.2891057
ContentType	Journal Article
Copyright	2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml	– notice: 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID	AAYXX CITATION 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M0N M7S P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U DOA
DOI	10.3390/math11020346
DatabaseName	CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest SciTech Premium Collection Technology Collection Advanced Technologies & Aerospace Collection ProQuest Central Essentials - QC ProQuest Central ProQuest Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database ProQuest Central Student SciTech Premium Collection (via ProQuest) ProQuest Computer Science Collection Computer Science Database (ProQuest) Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database Engineering Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic DOAJ Directory of Open Access Journals
DatabaseTitle	CrossRef Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ProQuest Central (Alumni)
DatabaseTitleList	Publicly Available Content Database CrossRef
Database_xml	– sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Mathematics
EISSN	2227-7390
ExternalDocumentID	oai_doaj_org_article_76736662ac0443ad963b63eadb070568 10_3390_math11020346
GroupedDBID	-~X 5VS 85S 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ABPPZ ABUWG ACIPV ACIWK ADBBV AFFHD AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS AMVHM ARAPS AZQEC BCNDV BENPR BGLVJ BPHCQ CCPQU CITATION DWQXO GNUQQ GROUPED_DOAJ HCIFZ IAO ITC K6V K7- KQ8 L6V M7S MODMG M~E OK1 PHGZM PHGZT PIMPY PQGLB PQQKQ PROAC PTHSS RNS 3V. 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L7M L~C L~D M0N P62 PKEHL PQEST PQUKI PRINS Q9U
ID	FETCH-LOGICAL-c367t-be97c20a0c21abf16b09692ae8a759d6f56707e7db9d36e2755fa1e3e09095fd3
IEDL.DBID	M7S
ISICitedReferencesCount	3
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000916426800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	2227-7390
IngestDate	Tue Oct 14 19:08:09 EDT 2025 Fri Jul 25 12:08:31 EDT 2025 Sat Nov 29 07:20:08 EST 2025 Tue Nov 18 21:14:22 EST 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	2
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c367t-be97c20a0c21abf16b09692ae8a759d6f56707e7db9d36e2755fa1e3e09095fd3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
OpenAccessLink	https://www.proquest.com/docview/2767238948?pq-origsite=%requestingapplication%
PQID	2767238948
PQPubID	2032364
ParticipantIDs	doaj_primary_oai_doaj_org_article_76736662ac0443ad963b63eadb070568 proquest_journals_2767238948 crossref_primary_10_3390_math11020346 crossref_citationtrail_10_3390_math11020346
PublicationCentury	2000
PublicationDate	2023-01-01
PublicationDateYYYYMMDD	2023-01-01
PublicationDate_xml	– month: 01 year: 2023 text: 2023-01-01 day: 01
PublicationDecade	2020
PublicationPlace	Basel
PublicationPlace_xml	– name: Basel
PublicationTitle	Mathematics (Basel)
PublicationYear	2023
Publisher	MDPI AG
Publisher_xml	– name: MDPI AG
References	Ning (ref_15) 2019; 34 Yang (ref_35) 2022; 313 Zhao (ref_17) 2014; 29 ref_34 ref_33 Vatanpour (ref_11) 2018; 162 Shahbazitabar (ref_12) 2018; 161 Akturk (ref_22) 2009; 37 Zhou (ref_13) 2019; 254 Ongsakul (ref_26) 2004; 19 Sun (ref_14) 2017; 142 Zhu (ref_7) 2022; 238 Wang (ref_25) 2008; 23 Zhu (ref_10) 2020; 214 Guo (ref_16) 2021; 134 Han (ref_9) 2014; 29 Jiang (ref_21) 2022; 10 Yang (ref_4) 2021; 284 ref_23 Xiang (ref_8) 2014; 61 Adam (ref_20) 2016; 170 Wu (ref_18) 2016; 31 Li (ref_6) 2020; 35 ref_3 Abdi (ref_5) 2021; 138 ref_29 Li (ref_36) 2020; 256 ref_28 Rashidinejad (ref_30) 2010; 92 Junior (ref_31) 2022; 104 ref_27 Carrion (ref_1) 2006; 21 Latorre (ref_2) 2013; 28 Wang (ref_24) 2012; 27 Yang (ref_19) 2020; 35 Ji (ref_32) 2014; 67
References_xml	– ident: ref_3 doi: 10.1109/TPWRS.2022.3204563 – ident: ref_28 – volume: 162 start-page: 476 year: 2018 ident: ref_11 article-title: The impact of energy storage modeling in coordination with wind farm and thermal units on security and reliability in a stochastic unit commitment publication-title: Energy doi: 10.1016/j.energy.2018.07.181 – volume: 29 start-page: 2696 year: 2014 ident: ref_17 article-title: Expected value and chance constrained stochastic unit commitment ensuring wind power utilization publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2014.2319260 – volume: 313 start-page: 118813 year: 2022 ident: ref_35 article-title: Distributionally robust optimal dispatch in the power system with high penetration of wind power based on net load fluctuation data publication-title: Appl. Energy doi: 10.1016/j.apenergy.2022.118813 – volume: 37 start-page: 187 year: 2009 ident: ref_22 article-title: A strong conic quadratic reformulation for machine-job as-signment with controllable processing times publication-title: Oper. Res. Lett. doi: 10.1016/j.orl.2008.12.009 – ident: ref_33 doi: 10.1109/ICCUBEA.2018.8697562 – volume: 35 start-page: 261 year: 2020 ident: ref_6 article-title: A variable reduction method for large-scale unit commitment publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2019.2930571 – volume: 254 start-page: 113784 year: 2019 ident: ref_13 article-title: Data-adaptive robust unit commit-ment in the hybrid AC/DC power system publication-title: Appl. Energy doi: 10.1016/j.apenergy.2019.113784 – volume: 31 start-page: 4185 year: 2016 ident: ref_18 article-title: A Solution to the chance-constrained two-stage stochastic program for unit commitment with wind energy integration publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2015.2513395 – volume: 161 start-page: 308 year: 2018 ident: ref_12 article-title: A novel priority-based stochastic unit commitment considering re-newable energy sources and parking lot cooperation publication-title: Energy doi: 10.1016/j.energy.2018.07.025 – volume: 27 start-page: 206 year: 2012 ident: ref_24 article-title: A chance-constrained two-stage stochastic program for unit commit-ment with uncertain wind power output publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2011.2159522 – volume: 284 start-page: 116081 year: 2021 ident: ref_4 article-title: Two novel locally ideal three-period unit commitment formulations in power systems publication-title: Appl. Energy doi: 10.1016/j.apenergy.2020.116081 – volume: 23 start-page: 1319 year: 2008 ident: ref_25 article-title: Security-constrained unit commitment with volatile wind power generation publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2008.926719 – volume: 92 start-page: 215 year: 2010 ident: ref_30 article-title: An implementation of harmony search algorithm to unit commitment problem publication-title: Electr. Eng. doi: 10.1007/s00202-010-0177-z – volume: 35 start-page: 2769 year: 2020 ident: ref_19 article-title: Analytical reformulation for stochastic unit commitment con-sidering wind power uncertainty with Gaussian mixture model publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2019.2960389 – volume: 138 start-page: 110504 year: 2021 ident: ref_5 article-title: Profit-based unit commitment problem: A review of models, methods, challenges, and future directions publication-title: Renew. Sust. Energy Rev. doi: 10.1016/j.rser.2020.110504 – volume: 170 start-page: 419 year: 2016 ident: ref_20 article-title: Nonlinear chance constrained croblems: Optimality conditions, regulariza-tion and solvers publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-016-0943-9 – volume: 142 start-page: 347 year: 2017 ident: ref_14 article-title: Optimal day-ahead wind-thermal unit commitment considering statisti-cal and predicted features of wind speeds publication-title: Energy Convers. Manage. doi: 10.1016/j.enconman.2017.03.025 – volume: 67 start-page: 52 year: 2014 ident: ref_32 article-title: Improved gravitational search algorithm for unit commitment considering uncertainty of wind power publication-title: Energy doi: 10.1016/j.energy.2014.02.014 – volume: 21 start-page: 1371 year: 2006 ident: ref_1 article-title: A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2006.876672 – ident: ref_29 – ident: ref_34 doi: 10.1007/978-981-13-9263-4_5 – ident: ref_27 doi: 10.1109/INTERCON.2018.8526431 – volume: 61 start-page: 510 year: 2014 ident: ref_8 article-title: Unit commitment using Lagrangian relaxation and particle swarm optimization publication-title: Int. J. Elec. Power doi: 10.1016/j.ijepes.2014.03.061 – volume: 238 start-page: 121829 year: 2022 ident: ref_7 article-title: A parallel meta-heuristic method for solving large scale unit commitment considering the integration of new energy sectors publication-title: Energy doi: 10.1016/j.energy.2021.121829 – volume: 10 start-page: 100030 year: 2022 ident: ref_21 article-title: Chance-constrained optimization under limited distributional infor-mation: A review of reformulations based on sampling and distributional robustness publication-title: Euro J. Comput. Optim. doi: 10.1016/j.ejco.2022.100030 – volume: 104 start-page: 1093 year: 2022 ident: ref_31 article-title: A hybrid algorithm for the unit commitment problem with wind uncertainty publication-title: Electr. Eng. doi: 10.1007/s00202-021-01360-z – volume: 19 start-page: 620 year: 2004 ident: ref_26 article-title: Unit commitment by enhanced adaptive Lagrangian relaxation publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2003.820707 – ident: ref_23 doi: 10.1007/978-3-540-68891-4_1 – volume: 214 start-page: 112902 year: 2020 ident: ref_10 article-title: Short-term stochastic optimization of a hy-dro-wind-photovoltaic hybrid system under multiple uncertainties publication-title: Energy Convers. Manag. doi: 10.1016/j.enconman.2020.112902 – volume: 256 start-page: 120456 year: 2020 ident: ref_36 article-title: Roubst and opportunistic scheduling of district integrated natural gas and power system with high wind power penetration considering demand flexibility and compressed air enerby storage publication-title: J. Clean. Prod. doi: 10.1016/j.jclepro.2020.120456 – volume: 134 start-page: 105398 year: 2021 ident: ref_16 article-title: Chance constrained unit commitment approximation under stochastic wind energy publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2021.105398 – volume: 28 start-page: 4897 year: 2013 ident: ref_2 article-title: Tight and compact MILP formulation for the thermal unit commitment problem publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2013.2251373 – volume: 29 start-page: 505 year: 2014 ident: ref_9 article-title: Outer approximation and outer-inner approximation approaches for unit commitment problem publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2013.2253136 – volume: 34 start-page: 2409 year: 2019 ident: ref_15 article-title: Data-driven adaptive robust unit commitment under wind power uncertainty: A bayesian nonparametric approach publication-title: IEEE Trans. Power Syst. doi: 10.1109/TPWRS.2019.2891057
SSID	ssj0000913849
Score	2.2270224
Snippet	Due to the high randomness and volatility of renewable energy sources such as wind energy, the traditional thermal unit commitment (UC) model is no longer...
SourceID	doaj proquest crossref
SourceType	Open Website Aggregation Database Enrichment Source Index Database
StartPage	346
SubjectTerms	Alternative energy sources Approximation chance-constrained programming Constraints Food science Generators Linear programming Mathematical models Mixed integer mixed-integer second-order conic programming Optimization Quadratic programming Random variables Randomness Renewable energy sources Renewable resources sample average approximation Software stochastic wind power Unit commitment Wind effects Wind power Wind power generation
SummonAdditionalLinks	– databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3LSsNAFB2kuNCF-MRqlVnoSkKTeWaWWiwubCn46i7MK7YgrbRR_HzvJGkJiLhxGyYkuXcy95zhzjkIXQjPmEtkDrTE8IhBhYyUZz6yTtqccq1Y6Q34fC-Hw3Q8VqOG1VfoCavkgavAdWVoPBKCaBszRrWDCWMEhe83MFm5KI_5xlI1yFS5BquEpkxVne4UeH0X8N8ESh2JacC6jRpUSvX_WInL8tLfRTs1LsTX1fvsoQ0_20fbg7Wo6vIADQbTL--isIf36he4F0RtcR8wZ-3Ahec5DhASh0Mf07J7HIdtVvxQzO1EB0Fm_AIUHI-CM9oheurfPvbuotoNIbJUyCIyXklLYh1bkmiTJ8IA-1BE-1RLrpzIuZCx9NIZ5ajwRHKe68RTHyuAUbmjR6g1m8_8McKUAFCTHhipk8zETBPFjYLKZJQWeWLb6GoVn8zWUuHBseItA8oQopk1o9lGl-vR75VExi_jbkKo12OCsHV5AdKd1enO_kp3G3VWicrqv22ZEbgLoIdi6cl_POMUbQVT-WqjpYNaxeLDn6FN-1lMl4vzcqJ9Ax3p1cQ priority: 102 providerName: Directory of Open Access Journals
Title	Mixed-Integer Conic Formulation of Unit Commitment with Stochastic Wind Power
URI	https://www.proquest.com/docview/2767238948 https://doaj.org/article/76736662ac0443ad963b63eadb070568
Volume	11
WOSCitedRecordID	wos000916426800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: DOA dateStart: 20130101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M~E dateStart: 20130101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: Computer Science Database (ProQuest) customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: K7- dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M7S dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: BENPR dateStart: 20130301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: PIMPY dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LbxMxELag5QAH3ohAG_kAJ2R11_ba6xOiVaIiSLSiPMpp5de2kVC2JAFx4rcz4zhpJVQuXHxY-7DasWfmmx1_HyEvVJQylLoDWOIqJiFCMhNlZD5o34nKGpm0AT-_19NpfXpqmlxwW-a2yo1PTI469B5r5AdcK9THMrJ-ffGdoWoU_l3NEho3yS6yJJSpde9kW2NBzstamnW_uwB0fwBZ4DkEPF4IzHivRKJE2P-XP05BZnzvf1_vPrmb00v6Zr0fHpAbcf6Q3JlsuVmXj8hkMvsVA8NS4Flc0CPkxqVjSF2zkBftO4qZKMW7I7PUhE6xWktPVr0_t8jrTL8AkqcNCqw9Jp_Go49HxyyLKjAvlF4xF432vLCF56V1XakcgBjDbaytrkxQXaV0oaMOzgShItdV1dkyilgYyMa6IJ6QnXk_j08JFRzyPR0B2AYtXSEtN5UzEOCcsaor_YC82nzg1mfGcRS--NYC8kBztFfNMSAvt6sv1kwb16w7RFtt1yA_dnrQL87afNxaje1qSnHrCymFDeBmnBJwahy4uErVA7K3MWObD-2yvbThs39PPye3UXV-XYnZIzurxY-4T275n6vZcjEku4ejafNhmOA9jO80G6Z9iePvEcw3byfN1z_st-tN
linkProvider	ProQuest
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VggQceCMWCvhATyhqYjt2fEAICqtW-1AlCvSW-pV2JbQpu8vrT_EbmcljqYTg1gPXxIqUzPibbybj-QCeqShlyHSFaYnLE4kRMjFRxsQH7SuRWyMbbcAPYz2dFkdH5mADfvZnYaitssfEBqhD7alGvsO1In0sI4uXZ58TUo2iv6u9hEbrFqP44xumbMsX-2_QvtucD98e7u4lnapA4oXSq8RFoz1Pbep5Zl2VKYcs3nAbC6tzE1SVK53qqIMzQajIdZ5XNosipgbpSBUEPvcSXJai0LSvRjpZ13RoxmYhTdtfL4RJd5B1nmKA5akghn0u8jUCAX_gfxPUhjf_t89xC2509Jm9av39NmzE-R24PlnPnl3ehclk9j2GhEqdJ3HBdmn2LxsiNe-EylhdMWLajM7GzJome0bVaPZuVftTS3Or2cfZPLADEpC7B-8v5H3uw-a8nscHwARHPqsjJu5BS5dKy03uDAZwZ6yqMj-A571BS99NVCdhj08lZlZk_vK8-QewvV591k4S-cu61-Qb6zU0_7u5UC9Oyg5OSk3teEpx61MphQ0Io04JRAWHEJ6rYgBbvduUHSgty98-8_Dft5_C1b3Dybgc709Hj-AaR17XVp22YHO1-BIfwxX_dTVbLp40_s_g-KI97BcrVkI1
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB6VFCE48EYECuyBnpAVe3e96z0gBC0RUZvIEq9yMvtsI6G4JOH11_h1zPoRKiG49cDVHlmy99uZb8az8wE8Fp5zl8mAaYnJE44RMlGe-8Q6aQPLteKNNuC7QzmbFUdHqtyCn_1ZmNhW2fvExlG72sYa-YhKEfWxFC9GoWuLKPfHz04_J1FBKv5p7eU0Wogc-B_fMH1bPZ3s41rvUjp--WbvVdIpDCSWCblOjFfS0lSnlmbahEwYZPSKal9omSsnQi5kKr10RjkmPJV5HnTmmU8VUpPgGD73AmwjJed0ANvlZFp-2FR44sTNgqu2254xlY6Qg55guKUpi3z7TBxs5AL-iAZNiBtf-58_znW42hFr8rzdCTdgyy9uwpXpZirt6hZMp_Pv3iWxCHrsl2QvTgUmYyTtnYQZqQOJHJzEUzPzpv2exDo1eb2u7YmOE63J-_nCkTJKy92Gt-fyPndgsKgX_i4QRpHpSo8pvZPcpFxTlRuFod0oLUJmh_CkX9zKdrPWo-THpwpzrgiF6iwUhrC7sT5tZ4z8xe5FxMnGJk4Gby7Uy-OqczSVjI16QlBtU86ZduhgjWDoLww691wUQ9jpIVR17mpV_cbPvX_ffgSXEFjV4WR2cB8uUyR8bTlqBwbr5Rf_AC7ar-v5avmw2wwEPp43xH4B4VhMtg
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Mixed-Integer+Conic+Formulation+of+Unit+Commitment+with+Stochastic+Wind+Power&rft.jtitle=Mathematics+%28Basel%29&rft.au=Zheng%2C+Haiyan&rft.au=Huang%2C+Liying&rft.au=Quan%2C+Ran&rft.date=2023-01-01&rft.pub=MDPI+AG&rft.eissn=2227-7390&rft.volume=11&rft.issue=2&rft.spage=346&rft_id=info:doi/10.3390%2Fmath11020346&rft.externalDBID=HAS_PDF_LINK
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2227-7390&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2227-7390&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2227-7390&client=summon