Modeling and Stability Analysis of Islanded DC Microgrids Under Droop Control

The stability of dc microgrids (MGs) depends on the control strategy adopted for each mode of operation. In an islanded operation mode, droop control is the basic method for bus voltage stabilization when there is no communication among the sources. In this paper, it is shown the consequences of dro...

Full description

Saved in:

Bibliographic Details
Published in:	IEEE transactions on power electronics Vol. 30; no. 8; pp. 4597 - 4607
Main Authors:	Nobrega Tahim, Andre Pires, Pagano, Daniel J., Lenz, Eduardo, Stramosk, Vinicius
Format:	Journal Article
Language:	English
Published:	New York IEEE 01-08-2015 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Analytical models bifurcation analysis constant power load (CPL) Construction DC microgrid Differential equations Direct current droop control Electric currents Electric potential Electric power Electric power grids Electricity distribution Integrated circuit modeling Load modeling Mathematical models nonlinear stability analysis Nonlinearity Power transmission lines Resistance Stability analysis Voltage Voltage control nonlinear stability analysis DC microgrid constant power load (CPL) Bifurcation analysis droop control
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	The stability of dc microgrids (MGs) depends on the control strategy adopted for each mode of operation. In an islanded operation mode, droop control is the basic method for bus voltage stabilization when there is no communication among the sources. In this paper, it is shown the consequences of droop implementation on the voltage stability of dc power systems, whose loads are active and nonlinear, e.g., constant power loads. The set of parallel sources and their corresponding transmission lines are modeled by an ideal voltage source in series with an equivalent resistance and inductance. This approximate model allows performing a nonlinear stability analysis to predict the system qualitative behavior due to the reduced number of differential equations. Additionally, nonlinear analysis provides analytical stability conditions as a function of the model parameters and it leads to a design guideline to build reliable (MGs) based on safe operating regions.
AbstractList	The stability of dc microgrids (MGs) depends on the control strategy adopted for each mode of operation. In an islanded operation mode, droop control is the basic method for bus voltage stabilization when there is no communication among the sources. In this paper, it is shown the consequences of droop implementation on the voltage stability of dc power systems, whose loads are active and nonlinear, e.g., constant power loads. The set of parallel sources and their corresponding transmission lines are modeled by an ideal voltage source in series with an equivalent resistance and inductance. This approximate model allows performing a nonlinear stability analysis to predict the system qualitative behavior due to the reduced number of differential equations. Additionally, nonlinear analysis provides analytical stability conditions as a function of the model parameters and it leads to a design guideline to build reliable (MGs) based on safe operating regions.
Author	Nobrega Tahim, Andre Pires Pagano, Daniel J. Lenz, Eduardo Stramosk, Vinicius
Author_xml	– sequence: 1 givenname: Andre Pires surname: Nobrega Tahim fullname: Nobrega Tahim, Andre Pires email: andre.tahim@posgrad.ufsc.br organization: Dept. of Autom. & Syst., Fed. Univ. of Santa Catarina, Florianopolis, Brazil – sequence: 2 givenname: Daniel J. surname: Pagano fullname: Pagano, Daniel J. email: daniel.pagano@ufsc.br organization: Dept. of Autom. & Syst., Fed. Univ. of Santa Catarina, Florianopolis, Brazil – sequence: 3 givenname: Eduardo surname: Lenz fullname: Lenz, Eduardo email: eduardo.lenz@posgrad.ufsc.br organization: Dept. of Autom. & Syst., Fed. Univ. of Santa Catarina, Florianopolis, Brazil – sequence: 4 givenname: Vinicius surname: Stramosk fullname: Stramosk, Vinicius email: vinicius.stramosk@posgrad.ufsc.br organization: Dept. of Autom. & Syst., Fed. Univ. of Santa Catarina, Florianopolis, Brazil
BookMark	eNpdkE9PwkAQxTcGE0H9AMbLJl68FGfa_dM9EkAlgWginJu63ZIlpYu75cC3dxuIB0-TvPm9ybw3IoPWtYaQB4QxIqiX9ed8OU4B2TjNBKDEKzJExTABBDkgQ8hznuRKZTdkFMIOIskBh2S1cpVpbLulZVvRr678to3tTnTSls0p2EBdTRehiUtT0dmUrqz2buttFegmap7OvHMHOnVt511zR67rsgnm_jJvyeZ1vp6-J8uPt8V0skx0loouUdKgrpk2kLGaQQpZzbjKRV6xtEad8qhJZKxCKUVeauACtFamTqWujFHZLXk-3z1493M0oSv2NmjTxD-NO4YChZRKgkAW0ad_6M4dfUzXUyJljHPGI4VnKqYLwZu6OHi7L_2pQCj6gou-4KIvuLgUHD2PZ481xvzxQoECprJfV5R2jA
CODEN	ITPEE8
CitedBy_id	crossref_primary_10_1109_TCST_2019_2951092 crossref_primary_10_3390_en12050873 crossref_primary_10_1109_TPWRS_2018_2849974 crossref_primary_10_3390_electronics11182823 crossref_primary_10_1109_TPEL_2017_2714342 crossref_primary_10_1016_j_scs_2017_09_038 crossref_primary_10_1109_TCNS_2023_3286827 crossref_primary_10_1016_j_automatica_2017_12_051 crossref_primary_10_1016_j_ijepes_2020_105968 crossref_primary_10_1109_TSTE_2017_2765681 crossref_primary_10_1080_15325008_2017_1401020 crossref_primary_10_1109_TPEL_2015_2510285 crossref_primary_10_1109_TPWRS_2017_2749141 crossref_primary_10_1109_ACCESS_2023_3266723 crossref_primary_10_3390_su12176918 crossref_primary_10_1109_TIA_2019_2916376 crossref_primary_10_1109_TPEL_2023_3243138 crossref_primary_10_1109_TPWRD_2020_3048307 crossref_primary_10_1109_TSG_2019_2890817 crossref_primary_10_1016_j_epsr_2020_106451 crossref_primary_10_1002_2050_7038_12052 crossref_primary_10_1109_TEC_2017_2698476 crossref_primary_10_1016_j_apenergy_2020_115057 crossref_primary_10_1016_j_physd_2022_133505 crossref_primary_10_1049_iet_pel_2015_0520 crossref_primary_10_37121_ijesr_vol3_145 crossref_primary_10_1109_TII_2019_2950208 crossref_primary_10_1002_tee_23128 crossref_primary_10_1109_TPEL_2020_3019311 crossref_primary_10_1109_TPEL_2015_2499310 crossref_primary_10_1016_j_segan_2021_100515 crossref_primary_10_1109_TIE_2020_3026270 crossref_primary_10_1016_j_ijepes_2021_106927 crossref_primary_10_1109_TPEL_2019_2953813 crossref_primary_10_1109_TSG_2020_2967353 crossref_primary_10_3390_en15030969 crossref_primary_10_1109_TCSI_2024_3366942 crossref_primary_10_1155_2019_8913956 crossref_primary_10_1049_joe_2018_8727 crossref_primary_10_1109_TSG_2018_2879727 crossref_primary_10_1049_iet_gtd_2017_1394 crossref_primary_10_1109_TIA_2019_2921028 crossref_primary_10_1109_TIE_2020_2989720 crossref_primary_10_1109_ACCESS_2020_3014977 crossref_primary_10_1109_TPEL_2016_2565517 crossref_primary_10_1109_TPWRS_2021_3085872 crossref_primary_10_1109_JSYST_2024_3352650 crossref_primary_10_1109_TEC_2021_3057130 crossref_primary_10_1109_JETCAS_2017_2664899 crossref_primary_10_1109_TSG_2018_2883559 crossref_primary_10_1109_JESTPE_2020_3034946 crossref_primary_10_1155_2017_8962086 crossref_primary_10_1016_j_compeleceng_2022_107879 crossref_primary_10_1109_TPWRS_2022_3167315 crossref_primary_10_3390_en12163186 crossref_primary_10_1007_s13369_019_03842_6 crossref_primary_10_1109_TASE_2017_2662742 crossref_primary_10_1016_j_ijepes_2022_108450 crossref_primary_10_1109_TEC_2020_2975033 crossref_primary_10_1049_rpg2_12799 crossref_primary_10_1016_j_automatica_2022_110187 crossref_primary_10_1109_ACCESS_2019_2902314 crossref_primary_10_1016_j_ijepes_2021_107630 crossref_primary_10_1109_JESTPE_2015_2439053 crossref_primary_10_1109_JESTPE_2019_2915166 crossref_primary_10_3390_en11061468 crossref_primary_10_3390_en16031339 crossref_primary_10_1016_j_conengprac_2023_105785 crossref_primary_10_1007_s00607_021_01006_9 crossref_primary_10_1016_j_ifacol_2020_12_178 crossref_primary_10_1109_ACCESS_2020_3047814 crossref_primary_10_1109_TSG_2017_2776281 crossref_primary_10_1007_s43236_021_00267_z crossref_primary_10_1109_TSG_2017_2705194 crossref_primary_10_1016_j_egyr_2022_02_024 crossref_primary_10_1109_TPEL_2021_3057874 crossref_primary_10_1109_TPWRS_2019_2897499 crossref_primary_10_1109_JETCAS_2015_2462017 crossref_primary_10_1109_TEC_2021_3056203 crossref_primary_10_1109_TPEL_2022_3141096 crossref_primary_10_1109_TPEL_2021_3128409 crossref_primary_10_3390_en14020404 crossref_primary_10_1049_gtd2_12060 crossref_primary_10_1016_j_ijepes_2021_107300 crossref_primary_10_1016_j_ijepes_2022_108752 crossref_primary_10_1109_TPEL_2020_3040621 crossref_primary_10_3389_fenrg_2023_1277198 crossref_primary_10_1109_TII_2019_2931837 crossref_primary_10_1109_TPEL_2018_2886220 crossref_primary_10_1109_TIE_2018_2864695 crossref_primary_10_1049_iet_pel_2016_0101 crossref_primary_10_1016_j_compeleceng_2018_02_020 crossref_primary_10_1016_j_segan_2023_101119 crossref_primary_10_1002_cta_2948 crossref_primary_10_1109_JESTPE_2015_2484218 crossref_primary_10_3390_su16124925 crossref_primary_10_1049_pel2_12710 crossref_primary_10_1016_j_ijepes_2019_105622 crossref_primary_10_1016_j_epsr_2023_109260 crossref_primary_10_1109_JAS_2021_1004006 crossref_primary_10_1016_j_apenergy_2023_121019 crossref_primary_10_1109_TPEL_2022_3222214 crossref_primary_10_1109_ACCESS_2020_2992780 crossref_primary_10_1109_TPEL_2018_2877180 crossref_primary_10_1109_JESTPE_2020_3039266 crossref_primary_10_1109_JESTPE_2019_2953869 crossref_primary_10_1109_TPEL_2018_2790945 crossref_primary_10_1016_j_seta_2024_103685 crossref_primary_10_1049_iet_rpg_2019_0184 crossref_primary_10_1142_S0218127416500280 crossref_primary_10_1109_TPEL_2022_3141234 crossref_primary_10_3390_en15228360 crossref_primary_10_3390_en9110924 crossref_primary_10_1109_TPEL_2020_3029716 crossref_primary_10_1016_j_epsr_2016_04_014 crossref_primary_10_1109_JESTPE_2020_2971425 crossref_primary_10_1109_TSG_2018_2875165 crossref_primary_10_1109_TPWRS_2017_2691547 crossref_primary_10_1109_TIE_2021_3095803 crossref_primary_10_1109_TSG_2016_2546551 crossref_primary_10_1109_JESTPE_2020_2975904 crossref_primary_10_1007_s43236_020_00198_1 crossref_primary_10_1088_1742_6596_2401_1_012009 crossref_primary_10_1016_j_epsr_2019_106123 crossref_primary_10_2478_pomr_2018_0110 crossref_primary_10_1109_TCST_2019_2924615 crossref_primary_10_1016_j_ijepes_2020_106183 crossref_primary_10_1016_j_ijepes_2022_108087 crossref_primary_10_1002_2050_7038_12879 crossref_primary_10_1049_iet_stg_2019_0235 crossref_primary_10_1109_JESTPE_2016_2598821 crossref_primary_10_1109_ACCESS_2021_3087543 crossref_primary_10_1109_JESTIE_2021_3074889 crossref_primary_10_1109_TII_2019_2961151 crossref_primary_10_18618_REP_2023_3_0022 crossref_primary_10_1109_TPEL_2020_3019402 crossref_primary_10_1109_TSG_2017_2684178 crossref_primary_10_1016_j_ijepes_2018_08_038 crossref_primary_10_1049_iet_stg_2018_0070 crossref_primary_10_1109_TPEL_2016_2567780 crossref_primary_10_3390_electronics7090187 crossref_primary_10_1109_JSYST_2021_3134665 crossref_primary_10_1109_ACCESS_2019_2915027 crossref_primary_10_1109_JSYST_2022_3190279 crossref_primary_10_3390_app9204449 crossref_primary_10_1109_TIE_2016_2608880 crossref_primary_10_1109_TPWRS_2017_2697765 crossref_primary_10_1016_j_ifacol_2020_12_769 crossref_primary_10_1109_TPEL_2020_3009631 crossref_primary_10_1007_s43236_021_00219_7 crossref_primary_10_1109_ACCESS_2019_2910936 crossref_primary_10_1109_ACCESS_2021_3091699 crossref_primary_10_3390_en12152995 crossref_primary_10_1007_s43236_021_00350_5 crossref_primary_10_1016_j_ijepes_2022_108306 crossref_primary_10_1109_TPEL_2020_3009192 crossref_primary_10_1109_TPEL_2022_3225113 crossref_primary_10_1109_TIE_2023_3234150 crossref_primary_10_1109_TPWRS_2019_2928512 crossref_primary_10_1109_TPEL_2017_2749518 crossref_primary_10_4236_jpee_2022_104004 crossref_primary_10_1109_TPEL_2021_3076734 crossref_primary_10_1016_j_scs_2018_12_033 crossref_primary_10_1109_JESTPE_2019_2960882 crossref_primary_10_1109_TIE_2015_2435703 crossref_primary_10_1109_TPEL_2017_2784565 crossref_primary_10_1016_j_ijepes_2023_109772 crossref_primary_10_1016_j_neucom_2021_11_036 crossref_primary_10_1109_TPEL_2019_2900147
Cites_doi	10.1007/978-1-4612-1140-2 10.1109/COBEP.2011.6085269 10.1109/TPWRD.2011.2158456 10.1109/TPEL.2012.2211619 10.1109/63.387992 10.1109/TIE.2009.2013748 10.1109/TPEL.2003.818822 10.1109/TPEL.2013.2266419 10.1109/63.46005 10.1109/TSG.2011.2162430 10.1109/TIE.2010.2066534 10.1007/s12346-011-0050-0 10.1109/TPEL.2012.2215055 10.1109/TPEL.2004.833453 10.1109/TSG.2012.2201965 10.1109/TVT.2006.877483 10.1109/TPEL.2010.2091285 10.1109/TPEL.2013.2257857 10.1109/CDC.2012.6426298 10.1109/TPEL.2009.2025274 10.1109/TPEL.2010.2077682 10.1109/TPEL.2011.2127488 10.1109/ESTS.2005.1524694 10.1109/TIE.2007.896474 10.1109/OPTIM.2010.5510477 10.1109/TIE.2006.882012 10.1109/TPWRD.2013.2241083
ContentType	Journal Article
Copyright	Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Aug 2015
Copyright_xml	– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Aug 2015
DBID	97E RIA RIE AAYXX CITATION 7SP 7TB 8FD FR3 JQ2 KR7 L7M F28
DOI	10.1109/TPEL.2014.2360171
DatabaseName	IEEE All-Society Periodicals Package (ASPP) 2005-present IEEE All-Society Periodicals Package (ASPP) 1998-Present IEEE Electronic Library Online CrossRef Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace ANTE: Abstracts in New Technology & Engineering
DatabaseTitle	CrossRef Civil Engineering Abstracts Technology Research Database Mechanical & Transportation Engineering Abstracts Electronics & Communications Abstracts ProQuest Computer Science Collection Engineering Research Database Advanced Technologies Database with Aerospace ANTE: Abstracts in New Technology & Engineering
DatabaseTitleList	Civil Engineering Abstracts Civil Engineering Abstracts
Database_xml	– sequence: 1 dbid: RIE name: IEEE Electronic Library Online url: http://ieeexplore.ieee.org/Xplore/DynWel.jsp sourceTypes: Publisher
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1941-0107
EndPage	4607
ExternalDocumentID	3621653821 10_1109_TPEL_2014_2360171 6909049
Genre	orig-research Feature
GrantInformation_xml	– fundername: Improvement of Higher Education Personnel, Brazil
GroupedDBID	-~X 0R~ 29I 3EH 4.4 5GY 5VS 6IK 97E AAJGR AASAJ ABFSI ABQJQ ABVLG ACGFO ACGFS ACIWK ACKIV AENEX AETIX AI. AIBXA AKJIK ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BKOMP BPEOZ CS3 DU5 E.L EBS EJD HZ~ H~9 ICLAB IFIPE IFJZH IPLJI JAVBF LAI M43 MS~ O9- OCL P2P PQQKQ RIA RIE RIG RNS RXW TAE TAF TN5 VH1 VJK XFK AAYXX CITATION 7SP 7TB 8FD FR3 JQ2 KR7 L7M F28
ID	FETCH-LOGICAL-c326t-97e1cf4ce034f40203f459868d42f1c254027144d17768ac0560cc9ef27cdee93
IEDL.DBID	RIE
ISSN	0885-8993
IngestDate	Fri Aug 16 02:34:26 EDT 2024 Thu Oct 10 16:16:31 EDT 2024 Fri Aug 23 02:13:12 EDT 2024 Wed Jun 26 19:22:07 EDT 2024
IsPeerReviewed	true
IsScholarly	true
Issue	8
Keywords	nonlinear stability analysis DC microgrid constant power load (CPL) Bifurcation analysis droop control
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c326t-97e1cf4ce034f40203f459868d42f1c254027144d17768ac0560cc9ef27cdee93
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
PQID	1662445545
PQPubID	37080
PageCount	11
ParticipantIDs	ieee_primary_6909049 proquest_miscellaneous_1677970614 proquest_journals_1662445545 crossref_primary_10_1109_TPEL_2014_2360171
PublicationCentury	2000
PublicationDate	2015-08-01
PublicationDateYYYYMMDD	2015-08-01
PublicationDate_xml	– month: 08 year: 2015 text: 2015-08-01 day: 01
PublicationDecade	2010
PublicationPlace	New York
PublicationPlace_xml	– name: New York
PublicationTitle	IEEE transactions on power electronics
PublicationTitleAbbrev	TPEL
PublicationYear	2015
Publisher	IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml	– name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References	ref13 guckenheimer (ref28) 1983 ref12 ref15 ref14 ref30 ref10 doedel (ref29) 1998 ref2 ref1 ref17 ref16 ref19 ref18 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref27 middlebrook (ref11) 0 ref8 ref7 ref9 ref4 ref3 ref6 ref5
References_xml	– year: 1983 ident: ref28 publication-title: Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields doi: 10.1007/978-1-4612-1140-2 contributor: fullname: guckenheimer – ident: ref23 doi: 10.1109/COBEP.2011.6085269 – ident: ref27 doi: 10.1109/TPWRD.2011.2158456 – ident: ref25 doi: 10.1109/TPEL.2012.2211619 – ident: ref13 doi: 10.1109/63.387992 – ident: ref9 doi: 10.1109/TIE.2009.2013748 – ident: ref14 doi: 10.1109/TPEL.2003.818822 – ident: ref7 doi: 10.1109/TPEL.2013.2266419 – ident: ref12 doi: 10.1109/63.46005 – ident: ref17 doi: 10.1109/TSG.2011.2162430 – ident: ref5 doi: 10.1109/TIE.2010.2066534 – ident: ref30 doi: 10.1007/s12346-011-0050-0 – year: 1998 ident: ref29 article-title: Auto 97: Continuation and bifurcation software for ordinary differential equations (with Homcont) contributor: fullname: doedel – ident: ref6 doi: 10.1109/TPEL.2012.2215055 – ident: ref1 doi: 10.1109/TPEL.2004.833453 – ident: ref18 doi: 10.1109/TSG.2012.2201965 – ident: ref26 doi: 10.1109/TVT.2006.877483 – year: 0 ident: ref11 article-title: Input filter considerations in design and application of switching regulators publication-title: Proc IEEE Ind Appl Annu Meeting contributor: fullname: middlebrook – ident: ref22 doi: 10.1109/TPEL.2010.2091285 – ident: ref8 doi: 10.1109/TPEL.2013.2257857 – ident: ref24 doi: 10.1109/CDC.2012.6426298 – ident: ref16 doi: 10.1109/TVT.2006.877483 – ident: ref10 doi: 10.1109/TPEL.2009.2025274 – ident: ref2 doi: 10.1109/TPEL.2010.2077682 – ident: ref21 doi: 10.1109/TPEL.2011.2127488 – ident: ref15 doi: 10.1109/ESTS.2005.1524694 – ident: ref19 doi: 10.1109/TIE.2007.896474 – ident: ref3 doi: 10.1109/OPTIM.2010.5510477 – ident: ref20 doi: 10.1109/TIE.2006.882012 – ident: ref4 doi: 10.1109/TPWRD.2013.2241083
SSID	ssj0014501
Score	2.6200957
Snippet	The stability of dc microgrids (MGs) depends on the control strategy adopted for each mode of operation. In an islanded operation mode, droop control is the...
SourceID	proquest crossref ieee
SourceType	Aggregation Database Publisher
StartPage	4597
SubjectTerms	Analytical models bifurcation analysis constant power load (CPL) Construction DC microgrid Differential equations Direct current droop control Electric currents Electric potential Electric power Electric power grids Electricity distribution Integrated circuit modeling Load modeling Mathematical models nonlinear stability analysis Nonlinearity Power transmission lines Resistance Stability analysis Voltage Voltage control
Title	Modeling and Stability Analysis of Islanded DC Microgrids Under Droop Control
URI	https://ieeexplore.ieee.org/document/6909049 https://www.proquest.com/docview/1662445545 https://search.proquest.com/docview/1677970614
Volume	30
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
link	http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED5RJhh4I8pLRmJCBOrGjusR9aEOgJAAiS1K7DNiSStKB_49d05agWBhixQrie7Oue_zvQDOdZohuXGXyNKYRElUSZGVOim8Lcqe80GWXJw8fjT3L73BkNvkXC5rYRAxJp_hFV_GWL6fuDkflV0Tk7OEaFvQMrZX12otIwZKx1HHtGl0QhwibSKYsmOvnx6Gt5zEpa66acb9YX74oDhU5defOLqX0eb_PmwLNhoYKW5qvW_DClY7sP6tueAu3PGYMy42F0XlBYHKmAb7KRZtSMQkCDYIPgIXg76449S81_c3PxNxGJIYEKiein6dy74Hz6PhU3-cNMMTEkeI7COxBqULiseBqcAkMQ2Ke7H3vOoG6YgXEiElNuWlIcZROAJCHecshq5xHtGm-7BaTSo8AJFpNBz-S0mnKmS66KCVGFKZlrqUtmjDxUKc-bTukZFHbtGxOcs-Z9nnjezbsMvyWy5sRNeG44UC8mYXzXKZZYQ-CPDoNpwtb5P9c1CjqHAy5zXGWMO89vDvJx_BGr1f10l7x7D68T7HE2jN_Pw0WtAXkPXCHw
link.rule.ids	315,782,786,798,27933,27934,54767
linkProvider	IEEE
linkToHtml	http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT-MwEB7xOMAeeCwguryMxGm1gbqx4_qI2qIiWoREkfYWJfYYcUkRpYf99zvjpNWi5cItUqzImvFkvs_zArjQaYbkxl0iS2MSJVElRVbqpPC2KLvOB1lycfLw0dz_7vYH3Cbn17IWBhFj8hle8mOM5fupm_NV2RUxOUuIdhXWtTKZqau1ljEDpeOwYzIbnRCLSJsYpmzbq8nDYMRpXOqyk2bcIeaDF4pjVf77F0cHc7P9ta3twFYDJMV1rfldWMHqO3z7p73gHox50BmXm4ui8oJgZUyE_SMWjUjENAg-EnwJLvo9MebkvOe3Fz8TcRyS6BOsfhW9Opt9H55uBpPeMGnGJySOMNl7Yg1KFxQPBFOBaWIaFHdj73rVCdIRMyRKSnzKS0Oco3AEhdrOWQwd4zyiTQ9grZpWeAgi02g4AJiSVlXIdNFGKzGkMi11KW3Rgp8LceavdZeMPLKLts1Z9jnLPm9k34I9lt9yYSO6FhwvFJA3djTLZZYR_iDIo1twvnxNFsBhjaLC6ZzXGGMNM9sfn3_5DDaGk_EoH93e3x3BJu1F1yl8x7D2_jbHE1id-flpPE1_AfYjxXA
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=Modeling+and+Stability+Analysis+of+Islanded+DC+Microgrids+Under+Droop+Control&rft.jtitle=IEEE+transactions+on+power+electronics&rft.au=Nobrega+Tahim%2C+Andre+Pires&rft.au=Pagano%2C+Daniel+J.&rft.au=Lenz%2C+Eduardo&rft.au=Stramosk%2C+Vinicius&rft.date=2015-08-01&rft.pub=IEEE&rft.issn=0885-8993&rft.eissn=1941-0107&rft.volume=30&rft.issue=8&rft.spage=4597&rft.epage=4607&rft_id=info:doi/10.1109%2FTPEL.2014.2360171&rft.externalDocID=6909049
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0885-8993&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0885-8993&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0885-8993&client=summon