Reactive power price clearing using multi-objective optimization

This paper presents a new multi-objective optimization based reactive power price clearing (RPPC) mechanism, considering voltage stability. Use of realistic voltage dependent load models is important in power system analysis and optimization. The influence of the same on RPPC is investigated in this...

Full description

Saved in:
Bibliographic Details
Published inEnergy (Oxford) Vol. 36; no. 5; pp. 3579 - 3589
Main Authors Reddy, S. Surender, Abhyankar, A.R., Bijwe, P.R.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.05.2011
Elsevier
Subjects
Online AccessGet full text
ISSN0360-5442
DOI10.1016/j.energy.2011.03.070

Cover

Abstract This paper presents a new multi-objective optimization based reactive power price clearing (RPPC) mechanism, considering voltage stability. Use of realistic voltage dependent load models is important in power system analysis and optimization. The influence of the same on RPPC is investigated in this paper. Investigations have also been carried out to ascertain the effectiveness of objectives such as, Total Payment Function (TPF), Loss Minimization (LM), Load Served (LS) and Voltage Stability Enhancement Index (VSEI). The unsuitability of LM/TPF minimization as independent or joint objective(s) for this problem, due to load served reduction is emphasized. The effect of loading condition on judicious combination of these objectives is further probed. The multi-objective RPPC problem is solved using Strength Pareto Evolutionary Algorithm (SPEA). Some of the results are also compared with the Multi-Objective Particle Swarm Optimization (MOPSO). The utility of the proposed approach is demonstrated through detailed investigation on IEEE 30 bus system considering base and stressed cases with constant and voltage dependent load modeling. ► The present work uses realistic ‘voltage dependent load models’ which is extremely important in Reactive Power Price Clearing (RPPC). ► The suitability of various objectives for RPPC is highlighted. ► This paper establishes the necessity of multi-objective optimization for RPPC, in view of voltage dependent load models. ► The paper emphasizes the need for selecting judiciously a combination of objectives best suited for a given operating condition.
AbstractList This paper presents a new multi-objective optimization based reactive power price clearing (RPPC) mechanism, considering voltage stability. Use of realistic voltage dependent load models is important in power system analysis and optimization. The influence of the same on RPPC is investigated in this paper. Investigations have also been carried out to ascertain the effectiveness of objectives such as, Total Payment Function (TPF), Loss Minimization (LM), Load Served (LS) and Voltage Stability Enhancement Index (VSEI). The unsuitability of LM/TPF minimization as independent or joint objective(s) for this problem, due to load served reduction is emphasized. The effect of loading condition on judicious combination of these objectives is further probed. The multi-objective RPPC problem is solved using Strength Pareto Evolutionary Algorithm (SPEA). Some of the results are also compared with the Multi-Objective Particle Swarm Optimization (MOPSO). The utility of the proposed approach is demonstrated through detailed investigation on IEEE 30 bus system considering base and stressed cases with constant and voltage dependent load modeling.
This paper presents a new multi-objective optimization based reactive power price clearing (RPPC) mechanism, considering voltage stability. Use of realistic voltage dependent load models is important in power system analysis and optimization. The influence of the same on RPPC is investigated in this paper. Investigations have also been carried out to ascertain the effectiveness of objectives such as, Total Payment Function (TPF), Loss Minimization (LM), Load Served (LS) and Voltage Stability Enhancement Index (VSEI). The unsuitability of LM/TPF minimization as independent or joint objective(s) for this problem, due to load served reduction is emphasized. The effect of loading condition on judicious combination of these objectives is further probed. The multi-objective RPPC problem is solved using Strength Pareto Evolutionary Algorithm (SPEA). Some of the results are also compared with the Multi-Objective Particle Swarm Optimization (MOPSO). The utility of the proposed approach is demonstrated through detailed investigation on I II 30 bus system considering base and stressed cases with constant and voltage dependent load modeling.
This paper presents a new multi-objective optimization based reactive power price clearing (RPPC) mechanism, considering voltage stability. Use of realistic voltage dependent load models is important in power system analysis and optimization. The influence of the same on RPPC is investigated in this paper. Investigations have also been carried out to ascertain the effectiveness of objectives such as, Total Payment Function (TPF), Loss Minimization (LM), Load Served (LS) and Voltage Stability Enhancement Index (VSEI). The unsuitability of LM/TPF minimization as independent or joint objective(s) for this problem, due to load served reduction is emphasized. The effect of loading condition on judicious combination of these objectives is further probed. The multi-objective RPPC problem is solved using Strength Pareto Evolutionary Algorithm (SPEA). Some of the results are also compared with the Multi-Objective Particle Swarm Optimization (MOPSO). The utility of the proposed approach is demonstrated through detailed investigation on IEEE 30 bus system considering base and stressed cases with constant and voltage dependent load modeling. ► The present work uses realistic ‘voltage dependent load models’ which is extremely important in Reactive Power Price Clearing (RPPC). ► The suitability of various objectives for RPPC is highlighted. ► This paper establishes the necessity of multi-objective optimization for RPPC, in view of voltage dependent load models. ► The paper emphasizes the need for selecting judiciously a combination of objectives best suited for a given operating condition.
Author Abhyankar, A.R.
Bijwe, P.R.
Reddy, S. Surender
Author_xml – sequence: 1
  givenname: S. Surender
  surname: Reddy
  fullname: Reddy, S. Surender
  email: salkuti.surenderreddy@gmail.com
– sequence: 2
  givenname: A.R.
  surname: Abhyankar
  fullname: Abhyankar, A.R.
– sequence: 3
  givenname: P.R.
  surname: Bijwe
  fullname: Bijwe, P.R.
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24213225$$DView record in Pascal Francis
BookMark eNqFkUtP3DAUhb2gUnn0HyAxG9Rukl4_43RRtUJAkZCQKKwtj3M98igTT-0MFfx6nIZuWMDGd_Od63PuOSB7QxyQkGMKNQWqvq5rHDCtHmsGlNbAa2hgj-wDV1BJIdhHcpDzGgCkbtt98uMWrRvDAy628S-mxTYFhwvXo01hWC12eXo3u34MVVyucUbjdgyb8GTHEIcj8sHbPuOnl3lI7i_O785-Vdc3l1dnP68rJ6Qeq063igpctn5Jm7ZDKTjjjEnHhVeiWPXFr5SUs45p31gFwFzTITLwdOkEPySf573bFP_sMI9mE7LDvrcDxl02WoOSQra8kF_eJFkJD0oBk--itKG6FUzwpqCnL6jNzvY-2cGFbMq9NjY9GiYYnfIU7tvMuRRzTuiNC-O_S43Jht5QMFNPZm3mnszUkwFuSk9FLF6J_-9_R3Yyy7yNxq5S8XX_uwBqCtpqPbn_PhNYKnoImEx2AQeHXUilVNPF8PYXz_KyumI
CODEN ENEYDS
CitedBy_id crossref_primary_10_1016_j_ijepes_2018_01_024
crossref_primary_10_1109_ACCESS_2022_3141235
crossref_primary_10_1007_s42835_022_01306_w
crossref_primary_10_1016_j_renene_2016_10_022
crossref_primary_10_1007_s00202_017_0518_2
crossref_primary_10_1007_s00521_017_3009_5
crossref_primary_10_1515_ijeeps_2021_0060
crossref_primary_10_1016_j_energy_2014_06_057
crossref_primary_10_1007_s11708_016_0431_9
crossref_primary_10_1049_iet_gtd_2015_0261
crossref_primary_10_3390_w11102040
crossref_primary_10_1109_TPWRS_2016_2569603
crossref_primary_10_1080_0305215X_2019_1639050
crossref_primary_10_1016_j_energy_2012_12_009
crossref_primary_10_1016_j_energy_2021_120329
crossref_primary_10_1002_2050_7038_12691
crossref_primary_10_1109_JSYST_2019_2927442
crossref_primary_10_1016_j_ijepes_2016_01_036
crossref_primary_10_1016_j_apenergy_2018_10_037
crossref_primary_10_1515_ijeeps_2015_0150
crossref_primary_10_1016_j_ijepes_2016_02_035
crossref_primary_10_1016_j_apenergy_2017_08_154
crossref_primary_10_1016_j_energy_2015_03_077
crossref_primary_10_33889_IJMEMS_2021_6_4_070
crossref_primary_10_1049_gtd2_13005
crossref_primary_10_3233_JIFS_169788
crossref_primary_10_1080_15435075_2019_1677234
crossref_primary_10_1109_JSYST_2013_2272236
crossref_primary_10_1016_j_ijepes_2017_09_028
crossref_primary_10_3390_pr9091490
crossref_primary_10_1007_s00202_016_0438_6
crossref_primary_10_1016_j_renene_2018_07_106
crossref_primary_10_3390_su12135283
crossref_primary_10_1016_j_rser_2016_10_016
crossref_primary_10_1016_j_ijepes_2013_05_050
crossref_primary_10_1002_etep_2387
crossref_primary_10_1016_j_energy_2018_05_112
crossref_primary_10_3390_math7040330
crossref_primary_10_1007_s00202_023_01749_y
crossref_primary_10_1007_s00202_017_0508_4
crossref_primary_10_1016_j_apenergy_2018_02_016
crossref_primary_10_1016_j_ijepes_2013_07_019
crossref_primary_10_3390_app9194068
crossref_primary_10_1016_j_apenergy_2019_113814
crossref_primary_10_1002_etep_2624
crossref_primary_10_2174_2352096511666180723144119
crossref_primary_10_1080_01430750_2024_2304721
crossref_primary_10_3390_info8030083
crossref_primary_10_3390_app6010004
crossref_primary_10_1080_15325008_2020_1854377
crossref_primary_10_1016_j_est_2020_102101
crossref_primary_10_1049_iet_gtd_2013_0901
crossref_primary_10_1080_00207179_2020_1727957
crossref_primary_10_1515_ijeeps_2018_0006
Cites_doi 10.1016/0142-0615(96)00004-X
10.1016/j.ijepes.2004.12.008
10.1016/j.energy.2010.10.062
10.1016/j.ijepes.2004.07.002
10.1109/TPWRS.2003.810897
10.1109/TPWRS.2007.913296
10.1016/j.apenergy.2008.11.006
10.1049/ip-gtd:20045210
10.1109/TPWRS.2005.856985
10.1109/59.918301
10.1631/jzus.2005.A0420
10.1109/61.915501
10.1109/59.867183
10.1109/TPWRS.2008.919416
10.1109/59.867129
10.1109/TPWRD.1986.4308013
10.1109/CEC.2003.1299792
10.1109/TPWRS.2003.821425
10.1016/j.ijepes.2009.03.015
10.1016/j.energy.2009.06.041
10.1109/TPWRS.2002.805025
10.1016/j.epsr.2003.11.002
10.1016/j.energy.2009.09.015
10.1109/CEC.2006.1688384
10.1007/s11047-009-9171-7
10.1109/TPWRS.2003.818693
10.1016/j.ijepes.2004.07.006
10.1109/PES.2007.385656
10.1016/S0142-0615(96)00051-8
10.1080/03052150008940911
10.1109/TPAS.1974.293972
ContentType Journal Article
Copyright 2011 Elsevier Ltd
2014 INIST-CNRS
Copyright_xml – notice: 2011 Elsevier Ltd
– notice: 2014 INIST-CNRS
DBID FBQ
AAYXX
CITATION
IQODW
7SP
7SU
7TB
8FD
C1K
F28
FR3
KR7
L7M
7S9
L.6
7ST
SOI
DOI 10.1016/j.energy.2011.03.070
DatabaseName AGRIS
CrossRef
Pascal-Francis
Electronics & Communications Abstracts
Environmental Engineering Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Environmental Sciences and Pollution Management
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
Civil Engineering Abstracts
Advanced Technologies Database with Aerospace
AGRICOLA
AGRICOLA - Academic
Environment Abstracts
Environment Abstracts
DatabaseTitle CrossRef
Civil Engineering Abstracts
Technology Research Database
Mechanical & Transportation Engineering Abstracts
Electronics & Communications Abstracts
Environmental Engineering Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
Environmental Sciences and Pollution Management
AGRICOLA
AGRICOLA - Academic
Environment Abstracts
DatabaseTitleList
AGRICOLA
Environment Abstracts

Civil Engineering Abstracts
Database_xml – sequence: 1
  dbid: FBQ
  name: AGRIS
  url: http://www.fao.org/agris/Centre.asp?Menu_1ID=DB&Menu_2ID=DB1&Language=EN&Content=http://www.fao.org/agris/search?Language=EN
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Economics
Environmental Sciences
Applied Sciences
EndPage 3589
ExternalDocumentID 24213225
10_1016_j_energy_2011_03_070
US201600069887
S0360544211002386
GroupedDBID --K
--M
.DC
.~1
0R~
1B1
1RT
1~.
1~5
29G
4.4
457
4G.
5GY
5VS
6TJ
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAHCO
AAIAV
AAIKC
AAIKJ
AAKOC
AALRI
AAMNW
AAOAW
AAQFI
AAQXK
AARJD
AAXUO
ABFNM
ABJNI
ABMAC
ABXDB
ABYKQ
ACDAQ
ACGFS
ACIWK
ACRLP
ADBBV
ADEZE
ADMUD
AEBSH
AEKER
AENEX
AFKWA
AFRAH
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHIDL
AIEXJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ASPBG
AVWKF
AXJTR
AZFZN
BELTK
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
G8K
GBLVA
HVGLF
HZ~
IHE
J1W
JARJE
KOM
LY6
M41
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SAC
SDF
SDG
SES
SEW
SPC
SPCBC
SSR
SSZ
T5K
TN5
WUQ
XPP
ZMT
~02
~G-
ABPIF
ABPTK
FBQ
AAHBH
AATTM
AAXKI
AAYWO
AAYXX
ABDPE
ABWVN
ACLOT
ACRPL
ACVFH
ADCNI
ADNMO
ADXHL
AEIPS
AEUPX
AFJKZ
AFPUW
AGQPQ
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
CITATION
EFKBS
~HD
AFXIZ
AGCQF
AGRNS
BNPGV
IQODW
SSH
7SP
7SU
7TB
8FD
C1K
F28
FR3
KR7
L7M
7S9
L.6
7ST
SOI
ID FETCH-LOGICAL-c458t-d89614eb9fb179de54323225c34f64011f20155132d28f7a6002c7dee20f1bc43
IEDL.DBID .~1
ISSN 0360-5442
IngestDate Tue Oct 07 07:42:29 EDT 2025
Mon Sep 29 05:37:19 EDT 2025
Tue Oct 07 11:07:17 EDT 2025
Mon Jul 21 09:12:21 EDT 2025
Thu Apr 24 22:51:05 EDT 2025
Wed Oct 01 01:34:06 EDT 2025
Wed Dec 27 19:14:38 EST 2023
Fri Feb 23 02:16:16 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 5
Keywords Multi-objective optimization
Electricity markets
Ancillary services
Reactive power management
Load modeling
Genetic algorithms
Language English
License https://www.elsevier.com/tdm/userlicense/1.0
CC BY 4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c458t-d89614eb9fb179de54323225c34f64011f20155132d28f7a6002c7dee20f1bc43
Notes http://dx.doi.org/10.1016/j.energy.2011.03.070
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
PQID 1718942437
PQPubID 23500
PageCount 11
ParticipantIDs proquest_miscellaneous_880654593
proquest_miscellaneous_2000066025
proquest_miscellaneous_1718942437
pascalfrancis_primary_24213225
crossref_citationtrail_10_1016_j_energy_2011_03_070
crossref_primary_10_1016_j_energy_2011_03_070
fao_agris_US201600069887
elsevier_sciencedirect_doi_10_1016_j_energy_2011_03_070
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2011-05-01
PublicationDateYYYYMMDD 2011-05-01
PublicationDate_xml – month: 05
  year: 2011
  text: 2011-05-01
  day: 01
PublicationDecade 2010
PublicationPlace Kidlington
PublicationPlace_xml – name: Kidlington
PublicationTitle Energy (Oxford)
PublicationYear 2011
Publisher Elsevier Ltd
Elsevier
Publisher_xml – name: Elsevier Ltd
– name: Elsevier
References Mota, Mota (bib31) 2004; 26
Bhattacharya, Zhong (bib5) 2001; 16
Osman, Abo-Sinna, Mousa (bib35) 2003
Bansilal, Thukaram (bib33) 1996; 18
Abraham, Jain, Goldberg (bib37) 2005
Amjady, Rabiee, Shayanfar (bib11) 2010; 35
Alsac, Stott (bib44) 1974; 93
Cutsem, Vournas (bib29) 1998
Lai, Ma, Yokoyama, Zhao (bib45) 1997; 19
Hasanpour, Ghazi, Javidi (bib16) 2009
Deb (bib21) 2001
(bib1) 2001
[Online]. Available
El-Samahy, Bhattacharya, Caizares, Anjos, Pan (bib9) 2008; 23
Esmaili, Shayanfar, Amjady (bib26) 2009; 34
Aribia, Abdallah (bib25) 2007; 10
Abido (bib40) 2003; 18
Rabiee, Shayanfar, Amjady (bib19) 2009; 86
Kundur (bib30) 1994
Venkatesh, Sadasivam, Khan (bib3) 2000; 15
Suppapitnarm, Parks, Clarkson (bib36) 2000; 33
Chung, Chung, Yu, Lin (bib17) 2004; 70
Niknam, Meymand, Mojarrad (bib24) 2011; 36
Taylor (bib28) 1994
Feng, Zhong, Gan (bib20) 2008; 23
El-Samahy, Cañizares, Bhattacharya, Pan (bib2) 2007
Kim, Park, Nam (bib15) 2010
Abido (bib42) 2010; 9
Milano, Caizares, Invernizzi (bib13) May 2003; 18
Azadani, Hosseinian, Moghani (bib14) 2008
Milano, Caizares, Conejo (bib12) Nov. 2005; 20
Abido, Bakhashwain (bib38) 2005; 27
.
Su, Lin (bib4) 2001; 16
Gil, Roman, Rios, Martin (bib27) 2000; 15
Bhattacharya, Zhong (bib6) 2002; 17
Baos, Gil, Paechter, Ortega (bib22) 2006
Chu, Chen, Liao (bib7) 2004; 19
Saxena, Ilic (bib18) May 8, 2000
King, Rughooputh (bib23) 2003; 2
Thukaram, Jenkins, Visakha (bib34) 2006; 153
Abido (bib39) 2006
Bo, Jia (bib43) 2005; 6A
Hernandez, Guzman, Alcaraz (bib8) 2005; 27
Venkatesh, Zhang (bib10) 2009; 31
Kessel, Glavitsch (bib32) 1986; 1
Abido (bib41) 2008
Feng (10.1016/j.energy.2011.03.070_bib20) 2008; 23
Venkatesh (10.1016/j.energy.2011.03.070_bib3) 2000; 15
Hernandez (10.1016/j.energy.2011.03.070_bib8) 2005; 27
Deb (10.1016/j.energy.2011.03.070_bib21) 2001
Kessel (10.1016/j.energy.2011.03.070_bib32) 1986; 1
10.1016/j.energy.2011.03.070_bib46
Gil (10.1016/j.energy.2011.03.070_bib27) 2000; 15
Amjady (10.1016/j.energy.2011.03.070_bib11) 2010; 35
Azadani (10.1016/j.energy.2011.03.070_bib14) 2008
Bhattacharya (10.1016/j.energy.2011.03.070_bib5) 2001; 16
Bhattacharya (10.1016/j.energy.2011.03.070_bib6) 2002; 17
Abido (10.1016/j.energy.2011.03.070_bib41) 2008
Alsac (10.1016/j.energy.2011.03.070_bib44) 1974; 93
Abido (10.1016/j.energy.2011.03.070_bib40) 2003; 18
King (10.1016/j.energy.2011.03.070_bib23) 2003; 2
Abraham (10.1016/j.energy.2011.03.070_bib37) 2005
Chung (10.1016/j.energy.2011.03.070_bib17) 2004; 70
Bo (10.1016/j.energy.2011.03.070_bib43) 2005; 6A
Osman (10.1016/j.energy.2011.03.070_bib35) 2003
(10.1016/j.energy.2011.03.070_bib1) 2001
Thukaram (10.1016/j.energy.2011.03.070_bib34) 2006; 153
Suppapitnarm (10.1016/j.energy.2011.03.070_bib36) 2000; 33
Su (10.1016/j.energy.2011.03.070_bib4) 2001; 16
Hasanpour (10.1016/j.energy.2011.03.070_bib16) 2009
Baos (10.1016/j.energy.2011.03.070_bib22) 2006
El-Samahy (10.1016/j.energy.2011.03.070_bib9) 2008; 23
Taylor (10.1016/j.energy.2011.03.070_bib28) 1994
Abido (10.1016/j.energy.2011.03.070_bib39) 2006
Kundur (10.1016/j.energy.2011.03.070_bib30) 1994
Rabiee (10.1016/j.energy.2011.03.070_bib19) 2009; 86
Bansilal (10.1016/j.energy.2011.03.070_bib33) 1996; 18
Saxena (10.1016/j.energy.2011.03.070_bib18) 2000
Esmaili (10.1016/j.energy.2011.03.070_bib26) 2009; 34
Milano (10.1016/j.energy.2011.03.070_bib13) 2003; 18
Niknam (10.1016/j.energy.2011.03.070_bib24) 2011; 36
Abido (10.1016/j.energy.2011.03.070_bib42) 2010; 9
Lai (10.1016/j.energy.2011.03.070_bib45) 1997; 19
Aribia (10.1016/j.energy.2011.03.070_bib25) 2007; 10
Mota (10.1016/j.energy.2011.03.070_bib31) 2004; 26
Kim (10.1016/j.energy.2011.03.070_bib15) 2010
Venkatesh (10.1016/j.energy.2011.03.070_bib10) 2009; 31
Abido (10.1016/j.energy.2011.03.070_bib38) 2005; 27
El-Samahy (10.1016/j.energy.2011.03.070_bib2) 2007
Cutsem (10.1016/j.energy.2011.03.070_bib29) 1998
Milano (10.1016/j.energy.2011.03.070_bib12) 2005; 20
Chu (10.1016/j.energy.2011.03.070_bib7) 2004; 19
References_xml – start-page: 1
  year: 2010
  end-page: 10
  ident: bib15
  article-title: Market-clearing for pricing system security based on voltage stability criteria
  publication-title: Energy
– volume: 153
  start-page: 237
  year: 2006
  end-page: 246
  ident: bib34
  article-title: Load modeling at electric power distribution substations using dynamic load parameters estimation
  publication-title: IEE Proceedings Generation Transmission Distribution
– year: 2001
  ident: bib21
  article-title: Multi-objective optimization using evolutionary algorithms
– year: 1994
  ident: bib30
  article-title: Power system stability and control
– year: 2005
  ident: bib37
  article-title: Evolutionary multi-objective optimization, theoretical advances and applications
– year: 1994
  ident: bib28
  article-title: Power system voltage stability
– volume: 19
  start-page: 174
  year: 2004
  end-page: 179
  ident: bib7
  article-title: Allocating the costs of reactive power purchased in an ancillary service market by modified y-bus matrix method
  publication-title: IEEE Transactions on Power Systems
– year: 2006
  ident: bib22
  article-title: A hybrid meta-heuristic for multi-objective optimization: MOSATS
  publication-title: Journal of Mathematical Modelling and Algorithms
– year: May 8, 2000
  ident: bib18
  article-title: A value based approach to voltage/reactive power control
– volume: 27
  start-page: 371
  year: 2005
  end-page: 378
  ident: bib8
  article-title: Ancillary reactive power service allocation cost in deregulated markets: a methodology
  publication-title: Electric Power and Energy Systems
– year: 2001
  ident: bib1
  article-title: Project report by power systems engineering research center
– volume: 31
  start-page: 285
  year: 2009
  end-page: 293
  ident: bib10
  article-title: A new computational method for reactive price clearing
  publication-title: Electrical Power and Energy Systems
– volume: 27
  start-page: 13
  year: 2005
  end-page: 20
  ident: bib38
  article-title: Optimal var dispatch using a multi-objective evolutionary algorithms
  publication-title: Electric Power and Energy Systems
– volume: 33
  start-page: 59
  year: 2000
  end-page: 85
  ident: bib36
  article-title: A simulated annealing algorithm for multi-objective optimization
  publication-title: Engineering Optimization
– year: 2003
  ident: bib35
  article-title: A solution to the optimal power flow using genetic algorithms
  publication-title: Applied Mathematics and Computation
– start-page: 730
  year: 2006
  end-page: 736
  ident: bib39
  article-title: Multiobjective optimal VAR dispatch using strength pareto evolutionary algorithm
  publication-title: IEEE Congress on Evolutionary Computation
– volume: 93
  start-page: 745
  year: 1974
  end-page: 751
  ident: bib44
  article-title: Optimal load flow with steady state security
  publication-title: IEEE Transactions on Power Apparatus and Systems
– volume: 17
  start-page: 1206
  year: 2002
  end-page: 1215
  ident: bib6
  article-title: Toward a competitive market for reactive power
  publication-title: IEEE Transactions on Power Systems
– volume: 35
  start-page: 239
  year: 2010
  end-page: 245
  ident: bib11
  article-title: A stochastic framework for clearing of reactive power market
  publication-title: Energy
– volume: 18
  start-page: 1529
  year: 2003
  end-page: 1537
  ident: bib40
  article-title: Environmental/economic power dispatch using multiobjective evolutionary algorithms
  publication-title: IEEE Transactions on Power Systems
– volume: 70
  start-page: 85
  year: 2004
  end-page: 91
  ident: bib17
  article-title: Cost-based reactive power pricing with voltage security consideration in restructured power systems
  publication-title: Electric Power Systems Research
– volume: 1
  start-page: 346
  year: 1986
  end-page: 355
  ident: bib32
  article-title: Estimating the voltage stability of a power system
  publication-title: IEEE Transactions on Power Delivery
– volume: 16
  start-page: 294
  year: 2001
  end-page: 300
  ident: bib5
  article-title: Reactive power as an ancillary service
  publication-title: IEEE Transactions on Power Systems
– start-page: 1
  year: 2008
  end-page: 6
  ident: bib14
  article-title: Market clearing considering power system security
  publication-title: IEEE Electrical Power and Energy Conference
– volume: 23
  start-page: 755
  year: 2008
  end-page: 765
  ident: bib20
  article-title: Reactive market power analysis using must-run indices
  publication-title: IEEE Transactions on Power Systems
– volume: 86
  start-page: 1555
  year: 2009
  end-page: 1564
  ident: bib19
  article-title: Multi-objective clearing of reactive power market in deregulated power systems
  publication-title: Applied Energy
– volume: 36
  start-page: 119
  year: 2011
  end-page: 132
  ident: bib24
  article-title: An efficient algorithm for multi-objective optimal operation management of distribution network considering fuel cell power plants
  publication-title: Energy
– volume: 18
  start-page: 461
  year: 1996
  end-page: 468
  ident: bib33
  article-title: Optimal reactive power dispatch algorithm for voltage stability improvement
  publication-title: Electrical Power and Energy Systems
– reference: [Online]. Available:
– year: 1998
  ident: bib29
  article-title: Voltage stability of electric power systems
– volume: 6A
  start-page: 420
  year: 2005
  end-page: 427
  ident: bib43
  article-title: Multiple objective particle swarm optimization technique for economic load dispatch
  publication-title: Journal of Zhejiang University Science
– volume: 15
  start-page: 483
  year: 2000
  end-page: 489
  ident: bib27
  article-title: Reactive power pricing: a conceptual framework for remuneration and charging procedures
  publication-title: IEEE Transactions on Power Systems
– volume: 19
  start-page: 287
  year: 1997
  end-page: 292
  ident: bib45
  article-title: Improved genetic algorithms for optimal power flow under both normal and contingent operating states
  publication-title: Electric Power and Energy Systems
– volume: 16
  start-page: 319
  year: 2001
  end-page: 323
  ident: bib4
  article-title: Fuzzy-based voltage/reactive power scheduling for voltage security improvement and loss reduction
  publication-title: IEEE Transactions on Power Delivery
– volume: 9
  start-page: 747
  year: 2010
  end-page: 766
  ident: bib42
  article-title: Multiobjective particle swarm optimization with nondominated local and global sets
  publication-title: Natural Computing, Springer Science
– volume: 34
  start-page: 1401
  year: 2009
  end-page: 1412
  ident: bib26
  article-title: Multi-objective congestion management incorporating voltage and transient stabilities
  publication-title: Energy
– volume: 2
  start-page: 1108
  year: 2003
  end-page: 1114
  ident: bib23
  article-title: Elitist multiobjective evolutionary algorithm for environmental/economic dispatch
  publication-title: The 2003 Congress on Evolutionary Computation
– volume: 15
  start-page: 844
  year: 2000
  end-page: 851
  ident: bib3
  article-title: A new optimal reactive power scheduling method for loss minimization and voltage stability margin maximization using successive multi-objective fuzzy LP technique
  publication-title: IEEE Transactions on Power Systems
– volume: 23
  start-page: 137
  year: 2008
  end-page: 149
  ident: bib9
  article-title: A procurement market model for reactive power services considering system security
  publication-title: IEEE Transactions on Power Systems
– volume: 20
  start-page: 2051
  year: Nov. 2005
  end-page: 2060
  ident: bib12
  article-title: Sensitivity-based security-constrained opf market clearing model
  publication-title: IEEE Transactions on Power Systems
– start-page: 392
  year: 2008
  end-page: 396
  ident: bib41
  article-title: Multiobjective particle swarm optimization for optimal power flow problem
  publication-title: Power System Conference
– volume: 18
  start-page: 596
  year: May 2003
  end-page: 604
  ident: bib13
  article-title: Multiobjective optimization for pricing system security in electricity markets
  publication-title: IEEE Transactions on Power Systems
– volume: 26
  start-page: 805
  year: 2004
  end-page: 811
  ident: bib31
  article-title: Load modeling at electric power distribution substations using dynamic load parameters estimation
  publication-title: International Journal of Electrical Power and Energy Systems
– start-page: 1
  year: 2007
  end-page: 7
  ident: bib2
  article-title: An optimal reactive power dispatch model for deregulated electricity markets
  publication-title: IEEE Power Engineering Society General Meeting
– year: 2009
  ident: bib16
  article-title: A new approach for cost allocation and reactive power pricing in a deregulated environment
– reference: .
– volume: 10
  start-page: 101
  year: 2007
  end-page: 114
  ident: bib25
  article-title: Multi-objective reactive dispatch optimization of an electric network
  publication-title: Leonard Journal of Sciences
– start-page: 1
  year: 2008
  ident: 10.1016/j.energy.2011.03.070_bib14
  article-title: Market clearing considering power system security
  publication-title: IEEE Electrical Power and Energy Conference
– volume: 18
  start-page: 461
  issue: 7
  year: 1996
  ident: 10.1016/j.energy.2011.03.070_bib33
  article-title: Optimal reactive power dispatch algorithm for voltage stability improvement
  publication-title: Electrical Power and Energy Systems
  doi: 10.1016/0142-0615(96)00004-X
– year: 2000
  ident: 10.1016/j.energy.2011.03.070_bib18
– volume: 27
  start-page: 371
  issue: 5–6
  year: 2005
  ident: 10.1016/j.energy.2011.03.070_bib8
  article-title: Ancillary reactive power service allocation cost in deregulated markets: a methodology
  publication-title: Electric Power and Energy Systems
  doi: 10.1016/j.ijepes.2004.12.008
– volume: 36
  start-page: 119
  year: 2011
  ident: 10.1016/j.energy.2011.03.070_bib24
  article-title: An efficient algorithm for multi-objective optimal operation management of distribution network considering fuel cell power plants
  publication-title: Energy
  doi: 10.1016/j.energy.2010.10.062
– volume: 26
  start-page: 805
  issue: 10
  year: 2004
  ident: 10.1016/j.energy.2011.03.070_bib31
  article-title: Load modeling at electric power distribution substations using dynamic load parameters estimation
  publication-title: International Journal of Electrical Power and Energy Systems
  doi: 10.1016/j.ijepes.2004.07.002
– volume: 18
  start-page: 596
  issue: 2
  year: 2003
  ident: 10.1016/j.energy.2011.03.070_bib13
  article-title: Multiobjective optimization for pricing system security in electricity markets
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2003.810897
– volume: 23
  start-page: 137
  issue: 1
  year: 2008
  ident: 10.1016/j.energy.2011.03.070_bib9
  article-title: A procurement market model for reactive power services considering system security
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2007.913296
– volume: 86
  start-page: 1555
  issue: 9
  year: 2009
  ident: 10.1016/j.energy.2011.03.070_bib19
  article-title: Multi-objective clearing of reactive power market in deregulated power systems
  publication-title: Applied Energy
  doi: 10.1016/j.apenergy.2008.11.006
– volume: 153
  start-page: 237
  issue: 2
  year: 2006
  ident: 10.1016/j.energy.2011.03.070_bib34
  article-title: Load modeling at electric power distribution substations using dynamic load parameters estimation
  publication-title: IEE Proceedings Generation Transmission Distribution
  doi: 10.1049/ip-gtd:20045210
– volume: 20
  start-page: 2051
  issue: 4
  year: 2005
  ident: 10.1016/j.energy.2011.03.070_bib12
  article-title: Sensitivity-based security-constrained opf market clearing model
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2005.856985
– volume: 16
  start-page: 294
  issue: 2
  year: 2001
  ident: 10.1016/j.energy.2011.03.070_bib5
  article-title: Reactive power as an ancillary service
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.918301
– volume: 6A
  start-page: 420
  issue: 5
  year: 2005
  ident: 10.1016/j.energy.2011.03.070_bib43
  article-title: Multiple objective particle swarm optimization technique for economic load dispatch
  publication-title: Journal of Zhejiang University Science
  doi: 10.1631/jzus.2005.A0420
– year: 2006
  ident: 10.1016/j.energy.2011.03.070_bib22
  article-title: A hybrid meta-heuristic for multi-objective optimization: MOSATS
  publication-title: Journal of Mathematical Modelling and Algorithms
– volume: 16
  start-page: 319
  issue: 2
  year: 2001
  ident: 10.1016/j.energy.2011.03.070_bib4
  article-title: Fuzzy-based voltage/reactive power scheduling for voltage security improvement and loss reduction
  publication-title: IEEE Transactions on Power Delivery
  doi: 10.1109/61.915501
– year: 1994
  ident: 10.1016/j.energy.2011.03.070_bib28
– volume: 15
  start-page: 844
  issue: 2
  year: 2000
  ident: 10.1016/j.energy.2011.03.070_bib3
  article-title: A new optimal reactive power scheduling method for loss minimization and voltage stability margin maximization using successive multi-objective fuzzy LP technique
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.867183
– volume: 23
  start-page: 755
  issue: 2
  year: 2008
  ident: 10.1016/j.energy.2011.03.070_bib20
  article-title: Reactive market power analysis using must-run indices
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2008.919416
– volume: 15
  start-page: 483
  issue: 2
  year: 2000
  ident: 10.1016/j.energy.2011.03.070_bib27
  article-title: Reactive power pricing: a conceptual framework for remuneration and charging procedures
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.867129
– volume: 1
  start-page: 346
  issue: 3
  year: 1986
  ident: 10.1016/j.energy.2011.03.070_bib32
  article-title: Estimating the voltage stability of a power system
  publication-title: IEEE Transactions on Power Delivery
  doi: 10.1109/TPWRD.1986.4308013
– year: 1994
  ident: 10.1016/j.energy.2011.03.070_bib30
– volume: 2
  start-page: 1108
  year: 2003
  ident: 10.1016/j.energy.2011.03.070_bib23
  article-title: Elitist multiobjective evolutionary algorithm for environmental/economic dispatch
  publication-title: The 2003 Congress on Evolutionary Computation
  doi: 10.1109/CEC.2003.1299792
– volume: 19
  start-page: 174
  issue: 1
  year: 2004
  ident: 10.1016/j.energy.2011.03.070_bib7
  article-title: Allocating the costs of reactive power purchased in an ancillary service market by modified y-bus matrix method
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2003.821425
– year: 1998
  ident: 10.1016/j.energy.2011.03.070_bib29
– year: 2009
  ident: 10.1016/j.energy.2011.03.070_bib16
– volume: 31
  start-page: 285
  issue: 6
  year: 2009
  ident: 10.1016/j.energy.2011.03.070_bib10
  article-title: A new computational method for reactive price clearing
  publication-title: Electrical Power and Energy Systems
  doi: 10.1016/j.ijepes.2009.03.015
– year: 2005
  ident: 10.1016/j.energy.2011.03.070_bib37
– volume: 34
  start-page: 1401
  year: 2009
  ident: 10.1016/j.energy.2011.03.070_bib26
  article-title: Multi-objective congestion management incorporating voltage and transient stabilities
  publication-title: Energy
  doi: 10.1016/j.energy.2009.06.041
– volume: 17
  start-page: 1206
  issue: 4
  year: 2002
  ident: 10.1016/j.energy.2011.03.070_bib6
  article-title: Toward a competitive market for reactive power
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2002.805025
– volume: 70
  start-page: 85
  issue: 2
  year: 2004
  ident: 10.1016/j.energy.2011.03.070_bib17
  article-title: Cost-based reactive power pricing with voltage security consideration in restructured power systems
  publication-title: Electric Power Systems Research
  doi: 10.1016/j.epsr.2003.11.002
– volume: 35
  start-page: 239
  year: 2010
  ident: 10.1016/j.energy.2011.03.070_bib11
  article-title: A stochastic framework for clearing of reactive power market
  publication-title: Energy
  doi: 10.1016/j.energy.2009.09.015
– start-page: 392
  year: 2008
  ident: 10.1016/j.energy.2011.03.070_bib41
  article-title: Multiobjective particle swarm optimization for optimal power flow problem
  publication-title: Power System Conference
– start-page: 730
  year: 2006
  ident: 10.1016/j.energy.2011.03.070_bib39
  article-title: Multiobjective optimal VAR dispatch using strength pareto evolutionary algorithm
  publication-title: IEEE Congress on Evolutionary Computation
  doi: 10.1109/CEC.2006.1688384
– ident: 10.1016/j.energy.2011.03.070_bib46
– volume: 9
  start-page: 747
  issue: 3
  year: 2010
  ident: 10.1016/j.energy.2011.03.070_bib42
  article-title: Multiobjective particle swarm optimization with nondominated local and global sets
  publication-title: Natural Computing, Springer Science
  doi: 10.1007/s11047-009-9171-7
– year: 2001
  ident: 10.1016/j.energy.2011.03.070_bib21
– volume: 18
  start-page: 1529
  issue: 4
  year: 2003
  ident: 10.1016/j.energy.2011.03.070_bib40
  article-title: Environmental/economic power dispatch using multiobjective evolutionary algorithms
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/TPWRS.2003.818693
– year: 2001
  ident: 10.1016/j.energy.2011.03.070_bib1
– year: 2003
  ident: 10.1016/j.energy.2011.03.070_bib35
  article-title: A solution to the optimal power flow using genetic algorithms
  publication-title: Applied Mathematics and Computation
– volume: 27
  start-page: 13
  issue: 1
  year: 2005
  ident: 10.1016/j.energy.2011.03.070_bib38
  article-title: Optimal var dispatch using a multi-objective evolutionary algorithms
  publication-title: Electric Power and Energy Systems
  doi: 10.1016/j.ijepes.2004.07.006
– start-page: 1
  year: 2007
  ident: 10.1016/j.energy.2011.03.070_bib2
  article-title: An optimal reactive power dispatch model for deregulated electricity markets
  publication-title: IEEE Power Engineering Society General Meeting
  doi: 10.1109/PES.2007.385656
– start-page: 1
  year: 2010
  ident: 10.1016/j.energy.2011.03.070_bib15
  article-title: Market-clearing for pricing system security based on voltage stability criteria
  publication-title: Energy
– volume: 10
  start-page: 101
  year: 2007
  ident: 10.1016/j.energy.2011.03.070_bib25
  article-title: Multi-objective reactive dispatch optimization of an electric network
  publication-title: Leonard Journal of Sciences
– volume: 19
  start-page: 287
  issue: 5
  year: 1997
  ident: 10.1016/j.energy.2011.03.070_bib45
  article-title: Improved genetic algorithms for optimal power flow under both normal and contingent operating states
  publication-title: Electric Power and Energy Systems
  doi: 10.1016/S0142-0615(96)00051-8
– volume: 33
  start-page: 59
  issue: 1
  year: 2000
  ident: 10.1016/j.energy.2011.03.070_bib36
  article-title: A simulated annealing algorithm for multi-objective optimization
  publication-title: Engineering Optimization
  doi: 10.1080/03052150008940911
– volume: 93
  start-page: 745
  issue: 3
  year: 1974
  ident: 10.1016/j.energy.2011.03.070_bib44
  article-title: Optimal load flow with steady state security
  publication-title: IEEE Transactions on Power Apparatus and Systems
  doi: 10.1109/TPAS.1974.293972
SSID ssj0005899
Score 2.2778852
Snippet This paper presents a new multi-objective optimization based reactive power price clearing (RPPC) mechanism, considering voltage stability. Use of realistic...
SourceID proquest
pascalfrancis
crossref
fao
elsevier
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 3579
SubjectTerms algorithms
Ancillary services
Applied sciences
Clearing
Economic data
Electric energy
Electric potential
Electricity markets
Energy
Energy economics
Exact sciences and technology
General, economic and professional studies
Genetic algorithms
Load modeling
Methodology. Modelling
Minimization
Multi-objective optimization
Optimization
prices
Reactive power
Reactive power management
Utilities
Voltage
Voltage stability
Title Reactive power price clearing using multi-objective optimization
URI https://dx.doi.org/10.1016/j.energy.2011.03.070
https://www.proquest.com/docview/1718942437
https://www.proquest.com/docview/2000066025
https://www.proquest.com/docview/880654593
Volume 36
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier)
  issn: 0360-5442
  databaseCode: GBLVA
  dateStart: 20110101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0005899
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier E-journals (Freedom Collection)
  issn: 0360-5442
  databaseCode: ACRLP
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0005899
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals [SCFCJ]
  issn: 0360-5442
  databaseCode: AIKHN
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0005899
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: ScienceDirect (Elsevier)
  issn: 0360-5442
  databaseCode: .~1
  dateStart: 19950101
  customDbUrl:
  isFulltext: true
  dateEnd: 99991231
  titleUrlDefault: https://www.sciencedirect.com
  omitProxy: true
  ssIdentifier: ssj0005899
  providerName: Elsevier
– providerCode: PRVLSH
  databaseName: Elsevier Journals
  issn: 0360-5442
  databaseCode: AKRWK
  dateStart: 19760301
  customDbUrl:
  isFulltext: true
  mediaType: online
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0005899
  providerName: Library Specific Holdings
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3LTuswEB1xYQEbxFOUR2UktqGJ7TTJDoRABQQLoBI7y05sBLq3qWi75duZcRweAoR0N11UkyodZ86M4zNnAA5cnnFr0hj3JoWOpCUSAKd38EJrXRkqCqg5-eq6PxjKi_v0fg5O2l4YolUG7G8w3aN1-KYXvNkbPz72bhF7sd6QtIOhxEOy21JmNMXg8OUDzSP3MyTJOCLrtn3Oc7ys768LQp7iMKaRxd-npz9O18Sb1BN0nWtmXnyBb5-TzlZgORST7Li531WYs6M1WGx7jSdrsHn63seGhiGQJ-twdGO1Rzo2pjFpbEzaQqykGRKYyxix4R-YJxtGtXlqQJHVCC__Qt_mBgzPTu9OBlEYphCVMs2nUZUXmImtKZzBGKxsKgWnYC6FdH3cZCWO-_JJ8IrnLtN0XldmlbU8dokppdiE-VE9slvA0jwWou8q_DCySrRJJOlQpdZZK0yRdEC0PlRlUBqngRd_VUspe1KN5xV5XsVCoec7EL1dNW6UNn6xz9rlUZ-eGIXJ4Jcrt3A1lX5AGFXDW04ie6TYjHjbge6nJX67Ezo5J3d1YL9dc4WBSKcremTr2UQlmOULSfqOP9twXx70Y_od9oNNTkfdMi3E9n__wR1Yal59Ey9zF-anzzO7h7XT1HR9cHRh4fj8cnD9ChlHFk8
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NT9wwEB0t9EAviG6LWCjUlbiGTWzn61aEWG1b4ACsxM2yExuBYLNilyu_nRnHWYpahNRLDtE4SsaZN2P7zQzAvitybk0a49qk1JG0RALgtAcvtNa1oaCAkpNPz7LxRP66Sq96cNTlwhCtMmB_i-kercOdYdDmcHZzM7xA7MV4Q9IKhhxPtgIfZMpzWoEdPP3B8yh8E0mSjki8y5_zJC_rE-xCJU9xEFPP4n_7pxWnGyJO6jnqzrVNL_7Cb--URhuwHqJJdti-8Cfo2Wkf1rpk43kfNo9fEtlQMFjy_DP8OLfaQx2bUZ80NqPiQqyiJhLozBjR4a-ZZxtGjbltUZE1iC_3IXHzC0xGx5dH4yh0U4gqmRaLqC5KdMXWlM6gEdY2lYKTNVdCugxXWYnjPn4SvOaFyzUd2FV5bS2PXWIqKTZhddpM7RawtIiFyFyNFyPrRJtEUiGq1DprhSmTAYhOh6oKpcap48Wd6jhlt6rVvCLNq1go1PwAouWoWVtq4x35vJse9eqXUegN3hm5hbOp9DXiqJpccKqyRyWbEXAHsPdqipdvQkfnpK4BfO_mXKEl0vGKntrmca4SdPOlpAKPb8twHx9kMT2HvSFT0Fm3TEux_d8f-A3WxpenJ-rk59nvHfjY7oMTSfMrrC4eHu0uBlILs-cN5Rlhjhfk
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=Reactive+power+price+clearing+using+multi-objective+optimization&rft.jtitle=Energy+%28Oxford%29&rft.au=Reddy%2C+S+Surender&rft.au=Abhyankar%2C+A+R&rft.au=Bijwe%2C+P+R&rft.date=2011-05-01&rft.issn=0360-5442&rft.volume=36&rft.issue=5+p.3579-3589&rft.spage=3579&rft.epage=3589&rft_id=info:doi/10.1016%2Fj.energy.2011.03.070&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0360-5442&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0360-5442&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0360-5442&client=summon