A multi-objective differential evolution algorithm and a constraint handling mechanism based on variables proportion for dynamic economic emission dispatch problems

Dynamic economic emission dispatch (DEED) problems have become an important research issue in power system operations. It is a multi-objective optimization problem (MOP) with high dimensional, nonlinear, nonsmooth, and nonconvex, considering the power balance constraints, valve point effects, prohib...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied soft computing Jg. 108; S. 107419
Hauptverfasser: Qiao, Baihao, Liu, Jing, Hao, Xingxing
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.09.2021
Schlagworte:
ISSN:1568-4946, 1872-9681
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract Dynamic economic emission dispatch (DEED) problems have become an important research issue in power system operations. It is a multi-objective optimization problem (MOP) with high dimensional, nonlinear, nonsmooth, and nonconvex, considering the power balance constraints, valve point effects, prohibited operating zones, and ramp rate limits. Therefore, an efficient multi-objective optimization technology is needed to solve conflicting objectives in the DEED problems. Besides, an efficient constraint handling mechanism is the key step in solving real-world problems. In this paper, a proportional dynamic adjustment decision (PDAD) variables method is proposed to deal with the constraints in the DEED problems by considering the difference in the power generation range of the unit. While, the constraint handling mechanism of the slack variable method is improved, and a dynamic slack variable (DSL) method is proposed. Besides, a non-dominant sorting differential evolution algorithm with a self-adaptive parameter operator and a local search operator (NSDESa_LS) is developed to solve the DEED problems. Finally, the performance of the proposed method is compared with state-of-the-art methods on 5-, 10-, and 40-unit systems. The results show that the proposed NSDESa_LS-PDAD method has a superior performance. •A proportional dynamic adjustment decision (PDAD) variable method is proposed.•The constraint handling mechanism of the slack variable method is improved.•An NSDE with self-adaptive parameters and local search operators is developed.•The performance of the proposed method is verified by 5-, 10-, and 40-unit systems.
AbstractList Dynamic economic emission dispatch (DEED) problems have become an important research issue in power system operations. It is a multi-objective optimization problem (MOP) with high dimensional, nonlinear, nonsmooth, and nonconvex, considering the power balance constraints, valve point effects, prohibited operating zones, and ramp rate limits. Therefore, an efficient multi-objective optimization technology is needed to solve conflicting objectives in the DEED problems. Besides, an efficient constraint handling mechanism is the key step in solving real-world problems. In this paper, a proportional dynamic adjustment decision (PDAD) variables method is proposed to deal with the constraints in the DEED problems by considering the difference in the power generation range of the unit. While, the constraint handling mechanism of the slack variable method is improved, and a dynamic slack variable (DSL) method is proposed. Besides, a non-dominant sorting differential evolution algorithm with a self-adaptive parameter operator and a local search operator (NSDESa_LS) is developed to solve the DEED problems. Finally, the performance of the proposed method is compared with state-of-the-art methods on 5-, 10-, and 40-unit systems. The results show that the proposed NSDESa_LS-PDAD method has a superior performance. •A proportional dynamic adjustment decision (PDAD) variable method is proposed.•The constraint handling mechanism of the slack variable method is improved.•An NSDE with self-adaptive parameters and local search operators is developed.•The performance of the proposed method is verified by 5-, 10-, and 40-unit systems.
ArticleNumber 107419
Author Hao, Xingxing
Liu, Jing
Qiao, Baihao
Author_xml – sequence: 1
  givenname: Baihao
  surname: Qiao
  fullname: Qiao, Baihao
  email: bhqiao@stu.xidian.edu.cn
  organization: School of Artificial Intelligence, Xidian University, Xi’an 710071, China
– sequence: 2
  givenname: Jing
  surname: Liu
  fullname: Liu, Jing
  email: neouma@163.com
  organization: School of Artificial Intelligence, Xidian University, Xi’an 710071, China
– sequence: 3
  givenname: Xingxing
  surname: Hao
  fullname: Hao, Xingxing
  email: ystar1991@126.com
  organization: School of Information Science and Tecnology, Northwest University, Xi’an 710027, China
BookMark eNp9kc2K2zAURkWZgWZm-gJd6QWcSrYjW9BNCP2DgW5m1uJauk5usKUgKYF5nz5o5aSrLmaljyudD-7RA7vzwSNjn6VYSyHVl-MaUrDrWtSyDLpW6g9sJfuurrTq5V3JG9VXrW7VR_aQ0lEUSNf9iv3Z8vk8ZarCcESb6YLc0ThiRJ8JJo6XMJ0zBc9h2odI-TBz8I4Dt8GnHIF85ocymcjv-Yy2ZEozHyCh4wW7QCQYJkz8FMMpxGvXGCJ3bx5mshxLUbiGmVJabh2lE2R7WIhCzumJ3Y8wJfz073xkr9-_vex-Vs-_f_zabZ8r2wiRqwbEgNY2mxZhULZrtGj12I3aKo2N7oUenHKikR0ioCtvZQ8d6I2QApTSzSOrb702hpQijuYUaYb4ZqQwi2dzNItns3g2N88F6v-DLGVY1lzsTO-jX28olqUuhNEkS-gtOorlM4wL9B7-F_zgoT0
CitedBy_id crossref_primary_10_1080_0305215X_2023_2215711
crossref_primary_10_1007_s00500_022_07297_0
crossref_primary_10_1016_j_swevo_2025_102096
crossref_primary_10_3390_buildings15050712
crossref_primary_10_1016_j_cie_2022_108717
crossref_primary_10_3233_JIFS_212735
crossref_primary_10_3390_en17040860
crossref_primary_10_1016_j_energy_2023_128901
crossref_primary_10_1080_15325008_2024_2343397
crossref_primary_10_1016_j_jclepro_2023_137805
crossref_primary_10_1109_TIA_2024_3430252
crossref_primary_10_1016_j_asoc_2024_111845
crossref_primary_10_1016_j_renene_2023_119379
crossref_primary_10_1007_s11227_025_07527_w
crossref_primary_10_3390_en15144942
crossref_primary_10_1016_j_oceaneng_2022_112862
crossref_primary_10_1038_s41598_022_15983_0
crossref_primary_10_3390_en15249489
crossref_primary_10_1007_s00202_024_02912_9
crossref_primary_10_1016_j_knosys_2021_108068
crossref_primary_10_3390_su14095554
crossref_primary_10_3390_en16093753
crossref_primary_10_1016_j_asoc_2022_109021
crossref_primary_10_1007_s13369_025_10149_2
crossref_primary_10_1007_s42235_024_00504_8
crossref_primary_10_1080_0305215X_2025_2546450
crossref_primary_10_1109_TPWRS_2022_3170086
crossref_primary_10_1016_j_eswa_2023_120298
crossref_primary_10_3390_su14159785
crossref_primary_10_1016_j_asoc_2022_109586
Cites_doi 10.1080/03052151003686716
10.1109/59.651616
10.1016/j.asoc.2015.05.012
10.1016/j.energy.2018.01.029
10.1016/j.epsr.2013.05.015
10.1016/j.energy.2014.11.037
10.1109/TPWRS.2015.2428714
10.1109/59.49081
10.1080/15325000600596759
10.1109/59.260861
10.1023/A:1008202821328
10.1016/j.enconman.2010.02.039
10.1016/j.engappai.2019.05.005
10.1016/j.ijepes.2010.01.024
10.1016/j.ijepes.2007.06.009
10.1016/j.energy.2018.10.087
10.1016/j.asoc.2010.04.024
10.1016/j.enconman.2010.06.029
10.1016/j.ijepes.2014.04.028
10.1016/0142-0615(91)90018-Q
10.1016/j.ijepes.2018.02.021
10.1049/ip-c.1989.0039
10.1016/j.enconman.2015.03.009
10.1016/j.ijepes.2010.12.017
10.1016/j.energy.2019.07.131
10.1049/iet-gtd.2018.5364
10.1016/j.ijepes.2013.01.009
10.1002/etep.2066
10.1016/j.ress.2012.11.002
10.1109/59.910777
10.1016/0378-7796(93)90011-3
10.1016/j.energy.2013.10.085
10.1016/j.engappai.2010.10.014
10.1016/j.asoc.2007.05.003
10.1016/j.asoc.2010.11.014
10.1016/j.asoc.2012.06.011
ContentType Journal Article
Copyright 2021 Elsevier B.V.
Copyright_xml – notice: 2021 Elsevier B.V.
DBID AAYXX
CITATION
DOI 10.1016/j.asoc.2021.107419
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
EISSN 1872-9681
ExternalDocumentID 10_1016_j_asoc_2021_107419
S1568494621003422
GroupedDBID --K
--M
.DC
.~1
0R~
1B1
1~.
1~5
23M
4.4
457
4G.
53G
5GY
5VS
6J9
7-5
71M
8P~
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
AAYFN
ABBOA
ABFNM
ABFRF
ABJNI
ABMAC
ABXDB
ABYKQ
ACDAQ
ACGFO
ACGFS
ACNNM
ACRLP
ACZNC
ADBBV
ADEZE
ADJOM
ADMUD
ADTZH
AEBSH
AECPX
AEFWE
AEKER
AENEX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHJVU
AHZHX
AIALX
AIEXJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AOUOD
ASPBG
AVWKF
AXJTR
AZFZN
BJAXD
BKOJK
BLXMC
CS3
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
GBOLZ
HVGLF
HZ~
IHE
J1W
JJJVA
KOM
M41
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
ROL
RPZ
SDF
SDG
SES
SEW
SPC
SPCBC
SST
SSV
SSZ
T5K
UHS
UNMZH
~G-
9DU
AATTM
AAXKI
AAYWO
AAYXX
ABWVN
ACLOT
ACRPL
ACVFH
ADCNI
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AGQPQ
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
CITATION
EFKBS
~HD
ID FETCH-LOGICAL-c300t-3a0becc354eab6c739049f7f9c69e39809bd6d0317eeaedbec18a7a95010a6693
ISICitedReferencesCount 35
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000670068500013&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1568-4946
IngestDate Tue Nov 18 21:43:59 EST 2025
Sat Nov 29 07:06:38 EST 2025
Fri Feb 23 02:43:42 EST 2024
IsPeerReviewed true
IsScholarly true
Keywords Differential evolution
Constraint handling mechanism
Multi-objective optimization
Dynamic economic emission dispatch
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c300t-3a0becc354eab6c739049f7f9c69e39809bd6d0317eeaedbec18a7a95010a6693
ParticipantIDs crossref_primary_10_1016_j_asoc_2021_107419
crossref_citationtrail_10_1016_j_asoc_2021_107419
elsevier_sciencedirect_doi_10_1016_j_asoc_2021_107419
PublicationCentury 2000
PublicationDate September 2021
2021-09-00
PublicationDateYYYYMMDD 2021-09-01
PublicationDate_xml – month: 09
  year: 2021
  text: September 2021
PublicationDecade 2020
PublicationTitle Applied soft computing
PublicationYear 2021
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Zou, Li, Kong, Ouyang, Li (b19) 2018; 147
Zaman, Elsayed, Ray, Sarker (b18) 2016; 31
Pandit, Tripathi, Tapaswi, Pandit (b41) 2012; 12
Elaiw, Xia, Shehata (b13) 2013; 103
Somuah, Khunaizi (b6) 1990; 5
Zhang, Yue, Xie, Hu, Weng (b39) 2015; 34
Basu (b10) 2008; 30
Liu, Zhu, Jiang (b28) 2018; 12
Roy, Bhui (b40) 2016; 26
Basu (b15) 2011; 11
Qu, Liang, Zhu, Suganthan (b27) 2017
Li, Zou, Kong (b21) 2019; 84
Hindi, Ab Ghani (b9) 1991; 13
Arul, Velusami, Ravi (b14) 2015; 79
Wilcoxon (b30) 1992
Alsumait, Qasem, Sykulski, Al-Othman (b38) 2010; 51
Mallipeddi, Suganthan, Pan, Tasgetiren (b35) 2011; 11
Yuan, Tian, Yuan, Huang, Ikram (b26) 2015; 96
Travers, Kaye (b8) 1998; 13
Zhao, Suganthan (b37) 2011; 43
Li, Sansavini, Zio (b34) 2013; 111
Dhillon, Parti, Kothari (b3) 1993; 26
Deb, Agrawal, Pratap, Meyarivan (b29) 2000
Jiang, Zhou, Wang, Zhang (b25) 2013; 49
Price, Storn (b31) 1997; 11
Shen, Zou, Duan, Zhang (b22) 2019; 186
Walters, Sheble (b1) 1993; 8
Angira, Babu (b32) 2005
Niu, Zhang, Li, Irwin (b17) 2014; 65
Wang, Zhou, Qin, Lu (b23) 2010; 51
Hemamalini, Simon (b12) 2011; 33
Mason, Duggan, Howley (b20) 2018; 100
Granelli, Marannino, Montagna, Silvestri (b5) 1989; 136
McLarty, Panossian, Jabbari, Traverso (b7) 2019; 166
Lu, Zhou, Qin, Wang, Zhang (b24) 2011; 24
Peng, Sun, Guo (b33) 2010; 32
Basu (b11) 2007; 8
Alatas, Akin, Karci (b36) 2008; 8
Han, Gooi, Kirschen (b2) 2001; 16
Lu, Zhou, Zhang, Zhang, Wang (b16) 2014; 62
Basu (b4) 2006; 34
Yuan (10.1016/j.asoc.2021.107419_b26) 2015; 96
Lu (10.1016/j.asoc.2021.107419_b24) 2011; 24
Qu (10.1016/j.asoc.2021.107419_b27) 2017
Wilcoxon (10.1016/j.asoc.2021.107419_b30) 1992
Arul (10.1016/j.asoc.2021.107419_b14) 2015; 79
Shen (10.1016/j.asoc.2021.107419_b22) 2019; 186
Basu (10.1016/j.asoc.2021.107419_b11) 2007; 8
Granelli (10.1016/j.asoc.2021.107419_b5) 1989; 136
Liu (10.1016/j.asoc.2021.107419_b28) 2018; 12
Peng (10.1016/j.asoc.2021.107419_b33) 2010; 32
Price (10.1016/j.asoc.2021.107419_b31) 1997; 11
Basu (10.1016/j.asoc.2021.107419_b4) 2006; 34
Hindi (10.1016/j.asoc.2021.107419_b9) 1991; 13
Niu (10.1016/j.asoc.2021.107419_b17) 2014; 65
Basu (10.1016/j.asoc.2021.107419_b10) 2008; 30
Somuah (10.1016/j.asoc.2021.107419_b6) 1990; 5
Li (10.1016/j.asoc.2021.107419_b21) 2019; 84
Zaman (10.1016/j.asoc.2021.107419_b18) 2016; 31
Deb (10.1016/j.asoc.2021.107419_b29) 2000
Hemamalini (10.1016/j.asoc.2021.107419_b12) 2011; 33
Lu (10.1016/j.asoc.2021.107419_b16) 2014; 62
Li (10.1016/j.asoc.2021.107419_b34) 2013; 111
Jiang (10.1016/j.asoc.2021.107419_b25) 2013; 49
Pandit (10.1016/j.asoc.2021.107419_b41) 2012; 12
Alatas (10.1016/j.asoc.2021.107419_b36) 2008; 8
Elaiw (10.1016/j.asoc.2021.107419_b13) 2013; 103
Han (10.1016/j.asoc.2021.107419_b2) 2001; 16
Dhillon (10.1016/j.asoc.2021.107419_b3) 1993; 26
Zhang (10.1016/j.asoc.2021.107419_b39) 2015; 34
Wang (10.1016/j.asoc.2021.107419_b23) 2010; 51
Basu (10.1016/j.asoc.2021.107419_b15) 2011; 11
Mason (10.1016/j.asoc.2021.107419_b20) 2018; 100
Travers (10.1016/j.asoc.2021.107419_b8) 1998; 13
Mallipeddi (10.1016/j.asoc.2021.107419_b35) 2011; 11
Alsumait (10.1016/j.asoc.2021.107419_b38) 2010; 51
Roy (10.1016/j.asoc.2021.107419_b40) 2016; 26
Zou (10.1016/j.asoc.2021.107419_b19) 2018; 147
Angira (10.1016/j.asoc.2021.107419_b32) 2005
Walters (10.1016/j.asoc.2021.107419_b1) 1993; 8
McLarty (10.1016/j.asoc.2021.107419_b7) 2019; 166
Zhao (10.1016/j.asoc.2021.107419_b37) 2011; 43
References_xml – volume: 26
  start-page: 179
  year: 1993
  end-page: 186
  ident: b3
  article-title: Stochastic economic emission load dispatch
  publication-title: Electr. Power Syst. Res.
– volume: 62
  start-page: 130
  year: 2014
  end-page: 143
  ident: b16
  article-title: Chaotic differential bee colony optimization algorithm for dynamic economic dispatch problem with valve-point effects
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 11
  start-page: 2845
  year: 2011
  end-page: 2853
  ident: b15
  article-title: Economic environmental dispatch using multi-objective differential evolution
  publication-title: Appl. Soft Comput.
– volume: 84
  start-page: 18
  year: 2019
  end-page: 40
  ident: b21
  article-title: A harmony search variant and a useful constraint handling method for the dynamic economic emission dispatch problems considering transmission loss
  publication-title: Eng. Appl. Artif. Intell.
– volume: 30
  start-page: 140
  year: 2008
  end-page: 149
  ident: b10
  article-title: Dynamic economic emission dispatch using nondominated sorting genetic algorithm-II
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 13
  start-page: 72
  year: 1998
  end-page: 78
  ident: b8
  article-title: Dynamic dispatch by constructive dynamic programming
  publication-title: IEEE Trans. Power Syst.
– volume: 32
  start-page: 886
  year: 2010
  end-page: 892
  ident: b33
  article-title: Multi-objective optimal PMU placement using a non-dominated sorting differential evolution algorithm
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 12
  start-page: 3500
  year: 2012
  end-page: 3513
  ident: b41
  article-title: An improved bacterial foraging algorithm for combined static/dynamic environmental economic dispatch
  publication-title: Appl. Soft Comput.
– volume: 12
  start-page: 3972
  year: 2018
  end-page: 3984
  ident: b28
  article-title: Wind-thermal dynamic economic emission dispatch with a hybrid multi-objective algorithm based on wind speed statistical analysis
  publication-title: IET Gener. Trans. Distrib.
– volume: 147
  start-page: 59
  year: 2018
  end-page: 80
  ident: b19
  article-title: Solving the dynamic economic dispatch by a memory-based global differential evolution and a repair technique of constraint handling
  publication-title: Energy
– volume: 49
  start-page: 399
  year: 2013
  end-page: 407
  ident: b25
  article-title: Dynamic environmental economic dispatch using multiobjective differential evolution algorithm with expanded double selection and adaptive random restart
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 33
  start-page: 868
  year: 2011
  end-page: 874
  ident: b12
  article-title: Dynamic economic dispatch using artificial immune system for units with valve-point effect
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 186
  year: 2019
  ident: b22
  article-title: An efficient fitness-based differential evolution algorithm and a constraint handling technique for dynamic economic emission dispatch
  publication-title: Energy
– start-page: 1428
  year: 2005
  end-page: 1443
  ident: b32
  article-title: Non-dominated sorting differential evolution (NSDE): An extension of differential evolution for multi-objective optimization
  publication-title: IICAI
– volume: 51
  start-page: 2062
  year: 2010
  end-page: 2607
  ident: b38
  article-title: An improved pattern search based algorithm to solve the dynamic economic dispatch problem with valve-point effect
  publication-title: Energy Convers. Manage.
– volume: 8
  start-page: 1
  year: 2007
  end-page: 15
  ident: b11
  article-title: Dynamic economic emission dispatch using evolutionary programming and fuzzy satisfying method
  publication-title: Int. J. Emerg. Electr. Power Syst.
– volume: 51
  start-page: 2893
  year: 2010
  end-page: 2900
  ident: b23
  article-title: Improved chaotic particle swarm optimization algorithm for dynamic economic dispatch problem with valve-point effects
  publication-title: Energy Convers. Manage.
– start-page: 849
  year: 2000
  end-page: 858
  ident: b29
  article-title: A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGA-II, International Conference on Parallel Problem Solving from Nature
– volume: 166
  start-page: 755
  year: 2019
  end-page: 764
  ident: b7
  article-title: Dynamic economic dispatch using complementary quadratic programming
  publication-title: Energy.
– volume: 11
  start-page: 341
  year: 1997
  end-page: 359
  ident: b31
  article-title: Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces
  publication-title: J. Global Optimiz.
– volume: 34
  start-page: 1015
  year: 2006
  end-page: 1025
  ident: b4
  article-title: Particle swarm optimization based goal-attainment method for dynamic economic emission dispatch
  publication-title: Electr. Power Comput. Syst.
– volume: 43
  start-page: 1
  year: 2011
  end-page: 17
  ident: b37
  article-title: Two-lbests based multi-objective particle swarm optimizer
  publication-title: Eng. Optim.
– volume: 8
  start-page: 1325
  year: 1993
  end-page: 1332
  ident: b1
  article-title: Genetic algorithm solution of economic-dispatch with valve point loading
  publication-title: IEEE Trans. Power Syst.
– volume: 5
  start-page: 20
  year: 1990
  end-page: 26
  ident: b6
  article-title: Application of linear-programming redispatch technique to dynamic generation allocation
  publication-title: IEEE Trans. Power Syst.
– volume: 13
  start-page: 51
  year: 1991
  end-page: 56
  ident: b9
  article-title: Dynamic economic dispatch for large scale power systems: a Lagrangian relaxation approach
  publication-title: Electr. Power Syst. Res.
– volume: 11
  start-page: 1679
  year: 2011
  end-page: 1696
  ident: b35
  article-title: Differential evolution algorithm with ensemble of parameters and mutation strategies
  publication-title: Appl. Soft Comput.
– volume: 24
  start-page: 378
  year: 2011
  end-page: 387
  ident: b24
  article-title: Chaotic differential evolution methods for dynamic economic dispatch with valve-point effects
  publication-title: Eng. Appl. Artif. Intell.
– volume: 136
  start-page: 295
  year: 1989
  end-page: 302
  ident: b5
  article-title: Fast and efficient gradient projection algorithm for dynamic generation dispatching
  publication-title: IEE Proc. Gener. Trans. Distrib.
– volume: 31
  start-page: 1486
  year: 2016
  end-page: 1495
  ident: b18
  article-title: Evolutionary algorithms for dynamic economic dispatch problems
  publication-title: IEEE Trans. Power Syst.
– volume: 79
  start-page: 496
  year: 2015
  end-page: 511
  ident: b14
  article-title: A new algorithm for combined dynamic economic emission dispatch with security constraints
  publication-title: Energy
– start-page: 196
  year: 1992
  end-page: 202
  ident: b30
  article-title: Individual Comparisons By Ranking Methods, Breakthroughs in Statistics
– volume: 16
  start-page: 22
  year: 2001
  end-page: 28
  ident: b2
  article-title: Dynamic economic dispatch: Feasible and optimal solutions
  publication-title: IEEE Trans. Power Syst.
– year: 2017
  ident: b27
  article-title: Solving dynamic economic emission dispatch problem considering wind power by multi-objective differential evolution with ensemble of selection method
  publication-title: Nat. Comput.
– volume: 8
  start-page: 646
  year: 2008
  end-page: 656
  ident: b36
  article-title: Modenar: Multi-objective differential evolution algorithm for mining numeric association rules
  publication-title: Appl. Soft Comput.
– volume: 111
  start-page: 195
  year: 2013
  end-page: 205
  ident: b34
  article-title: Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks
  publication-title: Reliab. Eng. Syst. Saf.
– volume: 103
  start-page: 192
  year: 2013
  end-page: 200
  ident: b13
  article-title: Hybrid DE-SQP and hybrid PSO-SQP methods for solving dynamic economic emission dispatch problem with valve-point effects
  publication-title: Electric Power Systems Research.
– volume: 34
  start-page: 312
  year: 2015
  end-page: 323
  ident: b39
  article-title: Multi-elite guide hybrid differential evolution with simulated annealing technique for dynamic economic emission dispatch
  publication-title: Appl. Soft Comput.
– volume: 100
  start-page: 201
  year: 2018
  end-page: 221
  ident: b20
  article-title: A multi-objective neural network trained with differential evolution for dynamic economic emission dispatch
  publication-title: Int. J. Electr. Power Energy Syst.
– volume: 26
  start-page: 49
  year: 2016
  end-page: 78
  ident: b40
  article-title: A multi-objective hybrid evolutionary algorithm for dynamic economic emission load dispatch
  publication-title: Int. Trans. Electr. Energy Syst.
– volume: 65
  start-page: 25
  year: 2014
  end-page: 43
  ident: b17
  article-title: An efficient harmony search with new pitch adjustment for dynamic economic dispatch
  publication-title: Energy
– volume: 96
  start-page: 568
  year: 2015
  end-page: 578
  ident: b26
  article-title: An extended NSGA-III for solution multi-objective hydro-thermal-wind scheduling considering wind power cost
  publication-title: Energy Convers. Manage.
– volume: 43
  start-page: 1
  issue: 1
  year: 2011
  ident: 10.1016/j.asoc.2021.107419_b37
  article-title: Two-lbests based multi-objective particle swarm optimizer
  publication-title: Eng. Optim.
  doi: 10.1080/03052151003686716
– volume: 13
  start-page: 72
  issue: 1
  year: 1998
  ident: 10.1016/j.asoc.2021.107419_b8
  article-title: Dynamic dispatch by constructive dynamic programming
  publication-title: IEEE Trans. Power Syst.
  doi: 10.1109/59.651616
– start-page: 196
  year: 1992
  ident: 10.1016/j.asoc.2021.107419_b30
– volume: 34
  start-page: 312
  year: 2015
  ident: 10.1016/j.asoc.2021.107419_b39
  article-title: Multi-elite guide hybrid differential evolution with simulated annealing technique for dynamic economic emission dispatch
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2015.05.012
– volume: 147
  start-page: 59
  year: 2018
  ident: 10.1016/j.asoc.2021.107419_b19
  article-title: Solving the dynamic economic dispatch by a memory-based global differential evolution and a repair technique of constraint handling
  publication-title: Energy
  doi: 10.1016/j.energy.2018.01.029
– volume: 103
  start-page: 192
  year: 2013
  ident: 10.1016/j.asoc.2021.107419_b13
  article-title: Hybrid DE-SQP and hybrid PSO-SQP methods for solving dynamic economic emission dispatch problem with valve-point effects
  publication-title: Electric Power Systems Research.
  doi: 10.1016/j.epsr.2013.05.015
– volume: 79
  start-page: 496
  year: 2015
  ident: 10.1016/j.asoc.2021.107419_b14
  article-title: A new algorithm for combined dynamic economic emission dispatch with security constraints
  publication-title: Energy
  doi: 10.1016/j.energy.2014.11.037
– volume: 31
  start-page: 1486
  issue: 2
  year: 2016
  ident: 10.1016/j.asoc.2021.107419_b18
  article-title: Evolutionary algorithms for dynamic economic dispatch problems
  publication-title: IEEE Trans. Power Syst.
  doi: 10.1109/TPWRS.2015.2428714
– volume: 5
  start-page: 20
  issue: 1
  year: 1990
  ident: 10.1016/j.asoc.2021.107419_b6
  article-title: Application of linear-programming redispatch technique to dynamic generation allocation
  publication-title: IEEE Trans. Power Syst.
  doi: 10.1109/59.49081
– volume: 34
  start-page: 1015
  issue: 9
  year: 2006
  ident: 10.1016/j.asoc.2021.107419_b4
  article-title: Particle swarm optimization based goal-attainment method for dynamic economic emission dispatch
  publication-title: Electr. Power Comput. Syst.
  doi: 10.1080/15325000600596759
– volume: 8
  start-page: 1325
  issue: 3
  year: 1993
  ident: 10.1016/j.asoc.2021.107419_b1
  article-title: Genetic algorithm solution of economic-dispatch with valve point loading
  publication-title: IEEE Trans. Power Syst.
  doi: 10.1109/59.260861
– start-page: 849
  year: 2000
  ident: 10.1016/j.asoc.2021.107419_b29
– volume: 11
  start-page: 341
  year: 1997
  ident: 10.1016/j.asoc.2021.107419_b31
  article-title: Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces
  publication-title: J. Global Optimiz.
  doi: 10.1023/A:1008202821328
– volume: 51
  start-page: 2062
  issue: 10
  year: 2010
  ident: 10.1016/j.asoc.2021.107419_b38
  article-title: An improved pattern search based algorithm to solve the dynamic economic dispatch problem with valve-point effect
  publication-title: Energy Convers. Manage.
  doi: 10.1016/j.enconman.2010.02.039
– volume: 84
  start-page: 18
  year: 2019
  ident: 10.1016/j.asoc.2021.107419_b21
  article-title: A harmony search variant and a useful constraint handling method for the dynamic economic emission dispatch problems considering transmission loss
  publication-title: Eng. Appl. Artif. Intell.
  doi: 10.1016/j.engappai.2019.05.005
– volume: 32
  start-page: 886
  issue: 8
  year: 2010
  ident: 10.1016/j.asoc.2021.107419_b33
  article-title: Multi-objective optimal PMU placement using a non-dominated sorting differential evolution algorithm
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2010.01.024
– volume: 30
  start-page: 140
  issue: 2
  year: 2008
  ident: 10.1016/j.asoc.2021.107419_b10
  article-title: Dynamic economic emission dispatch using nondominated sorting genetic algorithm-II
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2007.06.009
– volume: 166
  start-page: 755
  year: 2019
  ident: 10.1016/j.asoc.2021.107419_b7
  article-title: Dynamic economic dispatch using complementary quadratic programming
  publication-title: Energy.
  doi: 10.1016/j.energy.2018.10.087
– volume: 11
  start-page: 1679
  issue: 2
  year: 2011
  ident: 10.1016/j.asoc.2021.107419_b35
  article-title: Differential evolution algorithm with ensemble of parameters and mutation strategies
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2010.04.024
– volume: 51
  start-page: 2893
  issue: 12
  year: 2010
  ident: 10.1016/j.asoc.2021.107419_b23
  article-title: Improved chaotic particle swarm optimization algorithm for dynamic economic dispatch problem with valve-point effects
  publication-title: Energy Convers. Manage.
  doi: 10.1016/j.enconman.2010.06.029
– volume: 62
  start-page: 130
  year: 2014
  ident: 10.1016/j.asoc.2021.107419_b16
  article-title: Chaotic differential bee colony optimization algorithm for dynamic economic dispatch problem with valve-point effects
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2014.04.028
– volume: 13
  start-page: 51
  year: 1991
  ident: 10.1016/j.asoc.2021.107419_b9
  article-title: Dynamic economic dispatch for large scale power systems: a Lagrangian relaxation approach
  publication-title: Electr. Power Syst. Res.
  doi: 10.1016/0142-0615(91)90018-Q
– volume: 100
  start-page: 201
  year: 2018
  ident: 10.1016/j.asoc.2021.107419_b20
  article-title: A multi-objective neural network trained with differential evolution for dynamic economic emission dispatch
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2018.02.021
– year: 2017
  ident: 10.1016/j.asoc.2021.107419_b27
  article-title: Solving dynamic economic emission dispatch problem considering wind power by multi-objective differential evolution with ensemble of selection method
  publication-title: Nat. Comput.
– start-page: 1428
  year: 2005
  ident: 10.1016/j.asoc.2021.107419_b32
  article-title: Non-dominated sorting differential evolution (NSDE): An extension of differential evolution for multi-objective optimization
– volume: 8
  start-page: 1
  issue: 4
  year: 2007
  ident: 10.1016/j.asoc.2021.107419_b11
  article-title: Dynamic economic emission dispatch using evolutionary programming and fuzzy satisfying method
  publication-title: Int. J. Emerg. Electr. Power Syst.
– volume: 136
  start-page: 295
  year: 1989
  ident: 10.1016/j.asoc.2021.107419_b5
  article-title: Fast and efficient gradient projection algorithm for dynamic generation dispatching
  publication-title: IEE Proc. Gener. Trans. Distrib.
  doi: 10.1049/ip-c.1989.0039
– volume: 96
  start-page: 568
  year: 2015
  ident: 10.1016/j.asoc.2021.107419_b26
  article-title: An extended NSGA-III for solution multi-objective hydro-thermal-wind scheduling considering wind power cost
  publication-title: Energy Convers. Manage.
  doi: 10.1016/j.enconman.2015.03.009
– volume: 33
  start-page: 868
  issue: 4
  year: 2011
  ident: 10.1016/j.asoc.2021.107419_b12
  article-title: Dynamic economic dispatch using artificial immune system for units with valve-point effect
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2010.12.017
– volume: 186
  year: 2019
  ident: 10.1016/j.asoc.2021.107419_b22
  article-title: An efficient fitness-based differential evolution algorithm and a constraint handling technique for dynamic economic emission dispatch
  publication-title: Energy
  doi: 10.1016/j.energy.2019.07.131
– volume: 12
  start-page: 3972
  issue: 17
  year: 2018
  ident: 10.1016/j.asoc.2021.107419_b28
  article-title: Wind-thermal dynamic economic emission dispatch with a hybrid multi-objective algorithm based on wind speed statistical analysis
  publication-title: IET Gener. Trans. Distrib.
  doi: 10.1049/iet-gtd.2018.5364
– volume: 49
  start-page: 399
  year: 2013
  ident: 10.1016/j.asoc.2021.107419_b25
  article-title: Dynamic environmental economic dispatch using multiobjective differential evolution algorithm with expanded double selection and adaptive random restart
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2013.01.009
– volume: 26
  start-page: 49
  issue: 1
  year: 2016
  ident: 10.1016/j.asoc.2021.107419_b40
  article-title: A multi-objective hybrid evolutionary algorithm for dynamic economic emission load dispatch
  publication-title: Int. Trans. Electr. Energy Syst.
  doi: 10.1002/etep.2066
– volume: 111
  start-page: 195
  year: 2013
  ident: 10.1016/j.asoc.2021.107419_b34
  article-title: Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks
  publication-title: Reliab. Eng. Syst. Saf.
  doi: 10.1016/j.ress.2012.11.002
– volume: 16
  start-page: 22
  issue: 1
  year: 2001
  ident: 10.1016/j.asoc.2021.107419_b2
  article-title: Dynamic economic dispatch: Feasible and optimal solutions
  publication-title: IEEE Trans. Power Syst.
  doi: 10.1109/59.910777
– volume: 26
  start-page: 179
  issue: 3
  year: 1993
  ident: 10.1016/j.asoc.2021.107419_b3
  article-title: Stochastic economic emission load dispatch
  publication-title: Electr. Power Syst. Res.
  doi: 10.1016/0378-7796(93)90011-3
– volume: 65
  start-page: 25
  year: 2014
  ident: 10.1016/j.asoc.2021.107419_b17
  article-title: An efficient harmony search with new pitch adjustment for dynamic economic dispatch
  publication-title: Energy
  doi: 10.1016/j.energy.2013.10.085
– volume: 24
  start-page: 378
  issue: 2
  year: 2011
  ident: 10.1016/j.asoc.2021.107419_b24
  article-title: Chaotic differential evolution methods for dynamic economic dispatch with valve-point effects
  publication-title: Eng. Appl. Artif. Intell.
  doi: 10.1016/j.engappai.2010.10.014
– volume: 8
  start-page: 646
  issue: 1
  year: 2008
  ident: 10.1016/j.asoc.2021.107419_b36
  article-title: Modenar: Multi-objective differential evolution algorithm for mining numeric association rules
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2007.05.003
– volume: 11
  start-page: 2845
  issue: 2
  year: 2011
  ident: 10.1016/j.asoc.2021.107419_b15
  article-title: Economic environmental dispatch using multi-objective differential evolution
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2010.11.014
– volume: 12
  start-page: 3500
  issue: 11
  year: 2012
  ident: 10.1016/j.asoc.2021.107419_b41
  article-title: An improved bacterial foraging algorithm for combined static/dynamic environmental economic dispatch
  publication-title: Appl. Soft Comput.
  doi: 10.1016/j.asoc.2012.06.011
SSID ssj0016928
Score 2.480979
Snippet Dynamic economic emission dispatch (DEED) problems have become an important research issue in power system operations. It is a multi-objective optimization...
SourceID crossref
elsevier
SourceType Enrichment Source
Index Database
Publisher
StartPage 107419
SubjectTerms Constraint handling mechanism
Differential evolution
Dynamic economic emission dispatch
Multi-objective optimization
Title A multi-objective differential evolution algorithm and a constraint handling mechanism based on variables proportion for dynamic economic emission dispatch problems
URI https://dx.doi.org/10.1016/j.asoc.2021.107419
Volume 108
WOSCitedRecordID wos000670068500013&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: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  customDbUrl:
  eissn: 1872-9681
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0016928
  issn: 1568-4946
  databaseCode: AIEXJ
  dateStart: 20010601
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1La9tAEF6M00MvfZcmfTCH3oSM3tIeTUlJewiFpuCbWEmrWsa1jCUb_5ae80Mzo33YTUpoC70Is-x6bc_nmdnZmfkYe8-TlC5shBuXAR5QRC3dIiJ-kzAL6qCsI79QZBPp5WU2m_Evo9FPUwuzW6arVbbf8_V_FTWOobCpdPYvxG3fFAfwNQodnyh2fP6R4KcqSdBti4VSZpYEpafouNzp3R2x_N5umn6uSDIEJaB3A2NE7wy9FyiI8ENSZTARaZC5q-hqYYena6q36ii3i7x3k6xYKXJ7R-paZ4eo5CgYR7dAa1T5c0fT13THLrHxgzs0CEOG-7Y35pQCso1o1b1IMxetTR9qtgP8jiZeqHkzHNqbYR3NQHiYdC0dYrtTZqO0cpK5EdexSqnGsjRweaL4XqwqH3pE3DULKkKxmAhE_IS2nVAeqtbVv7bb_kqb0V54Fqb2iGjeT4I05tmYnUw_nc8-2zuqhA_MvfbD6ZIslT14e6ffuz1HrszVE_ZIn0FgqrDzlI3k6hl7bPg9QKv75-x6CregBMdQAgslsFACBA4IOEAJDJTAQgkGKAEus1CCA5QAoQQaSmCgBAZKYKAEBkov2LeP51cfLlzN6uGWoef1big80hthHElRJGUacjyk1mnNy4TLkGceL6qkQluTSilkhXP9TKSCx57viSTh4Us2XrUr-YoBR-8SHeiwKAMvkuR8iqSO0EQVWSH8qDxlvvnR81K3vKcvv8xNbuMiJ0HlJKhcCeqUOXbNWjV8uXd2bGSZa5dVuaI5Qu-edWf_uO41e3j417xh436zlW_Zg3LXN93mnUboDSvMxFY
linkProvider Elsevier
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=A+multi-objective+differential+evolution+algorithm+and+a+constraint+handling+mechanism+based+on+variables+proportion+for+dynamic+economic+emission+dispatch+problems&rft.jtitle=Applied+soft+computing&rft.au=Qiao%2C+Baihao&rft.au=Liu%2C+Jing&rft.au=Hao%2C+Xingxing&rft.date=2021-09-01&rft.pub=Elsevier+B.V&rft.issn=1568-4946&rft.eissn=1872-9681&rft.volume=108&rft_id=info:doi/10.1016%2Fj.asoc.2021.107419&rft.externalDocID=S1568494621003422
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1568-4946&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1568-4946&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1568-4946&client=summon